Deck 4: Section 6: Applications of Differentiation

ملء الشاشة (f)
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سؤال
The graph of a function f is is shown below. <strong>The graph of a function f is is shown below.   Sketch the graph of the derivative   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> Sketch the graph of the derivative <strong>The graph of a function f is is shown below.   Sketch the graph of the derivative   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>The graph of a function f is is shown below.   Sketch the graph of the derivative   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The graph of a function f is is shown below.   Sketch the graph of the derivative   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The graph of a function f is is shown below.   Sketch the graph of the derivative   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The graph of a function f is is shown below.   Sketch the graph of the derivative   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The graph of a function f is is shown below.   Sketch the graph of the derivative   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
استخدم زر المسافة أو
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لقلب البطاقة.
سؤال
The graph of f is shown below. For which values of x is <strong>The graph of f is shown below. For which values of x is   zero?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> zero? <strong>The graph of f is shown below. For which values of x is   zero?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>The graph of f is shown below. For which values of x is   zero?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The graph of f is shown below. For which values of x is   zero?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The graph of f is shown below. For which values of x is   zero?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The graph of f is shown below. For which values of x is   zero?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The graph of f is shown below. For which values of x is   zero?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
The graph of a function f is is shown below. Sketch the graph of the derivative <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Use the regression capabilities of the graphing utility to find a linear model for the revised data points obtained by plotting the points <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Use the regression capabilities of the graphing utility to find a linear model for the revised data points obtained by plotting the points    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Use the regression capabilities of the graphing utility to find a linear model for the revised data points obtained by plotting the points    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Use the regression capabilities of the graphing utility to find a linear model for the revised data points obtained by plotting the points    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Use the regression capabilities of the graphing utility to find a linear model for the revised data points obtained by plotting the points    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Use the regression capabilities of the graphing utility to find a linear model for the revised data points obtained by plotting the points    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Use the regression capabilities of the graphing utility to find a linear model for the revised data points obtained by plotting the points    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Use the regression capabilities of the graphing utility to find a linear model for the revised data points obtained by plotting the points    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
The graph of a function f is is shown below. Sketch the graph of the derivative <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Sketch a graph of the function <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> over the interval <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Analyze and sketch a graph of the function <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Analyze and sketch a graph of the function <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
The graph of f is shown below. For which value of x is <strong>The graph of f is shown below. For which value of x is   minimum?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> minimum? <strong>The graph of f is shown below. For which value of x is   minimum?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>The graph of f is shown below. For which value of x is   minimum?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The graph of f is shown below. For which value of x is   minimum?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The graph of f is shown below. For which value of x is   minimum?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The graph of f is shown below. For which value of x is   minimum?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The graph of f is shown below. For which value of x is   minimum?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Determine the slant asymptote of the graph of <strong>Determine the slant asymptote of the graph of   .</strong> A)   B)   C)   D)   E) no slant asymptotes <div style=padding-top: 35px> .

A) <strong>Determine the slant asymptote of the graph of   .</strong> A)   B)   C)   D)   E) no slant asymptotes <div style=padding-top: 35px>
B) <strong>Determine the slant asymptote of the graph of   .</strong> A)   B)   C)   D)   E) no slant asymptotes <div style=padding-top: 35px>
C) <strong>Determine the slant asymptote of the graph of   .</strong> A)   B)   C)   D)   E) no slant asymptotes <div style=padding-top: 35px>
D) <strong>Determine the slant asymptote of the graph of   .</strong> A)   B)   C)   D)   E) no slant asymptotes <div style=padding-top: 35px>
E) no slant asymptotes
سؤال
Analyze and sketch a graph of the function <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
The graph of f is shown below. For which value of x is <strong>The graph of f is shown below. For which value of x is   zero?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> zero? <strong>The graph of f is shown below. For which value of x is   zero?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>The graph of f is shown below. For which value of x is   zero?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The graph of f is shown below. For which value of x is   zero?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The graph of f is shown below. For which value of x is   zero?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The graph of f is shown below. For which value of x is   zero?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The graph of f is shown below. For which value of x is   zero?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
The graph of f is shown below. On what interval is <strong>The graph of f is shown below. On what interval is   an increasing function?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> an increasing function? <strong>The graph of f is shown below. On what interval is   an increasing function?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>The graph of f is shown below. On what interval is   an increasing function?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The graph of f is shown below. On what interval is   an increasing function?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The graph of f is shown below. On what interval is   an increasing function?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The graph of f is shown below. On what interval is   an increasing function?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The graph of f is shown below. On what interval is   an increasing function?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Analyze and sketch a graph of the function <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Analyze and sketch a graph of the function <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Analyze and sketch a graph of the function <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px> .

A) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px>
B) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px>
C) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px>
D) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px>
E) none of the above
سؤال
Analyze the graph of the function <strong>Analyze the graph of the function   . Determine any intercepts, relative extrema, points of inflection and asymptotes. Also determine where the graph is increasing or decreasing and concave up or concave down. Then identify the graph from the choices below.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . Determine any intercepts, relative extrema, points of inflection and asymptotes. Also determine where the graph is increasing or decreasing and concave up or concave down. Then identify the graph from the choices below.

A) <strong>Analyze the graph of the function   . Determine any intercepts, relative extrema, points of inflection and asymptotes. Also determine where the graph is increasing or decreasing and concave up or concave down. Then identify the graph from the choices below.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Analyze the graph of the function   . Determine any intercepts, relative extrema, points of inflection and asymptotes. Also determine where the graph is increasing or decreasing and concave up or concave down. Then identify the graph from the choices below.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Analyze the graph of the function   . Determine any intercepts, relative extrema, points of inflection and asymptotes. Also determine where the graph is increasing or decreasing and concave up or concave down. Then identify the graph from the choices below.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Analyze the graph of the function   . Determine any intercepts, relative extrema, points of inflection and asymptotes. Also determine where the graph is increasing or decreasing and concave up or concave down. Then identify the graph from the choices below.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Analyze the graph of the function   . Determine any intercepts, relative extrema, points of inflection and asymptotes. Also determine where the graph is increasing or decreasing and concave up or concave down. Then identify the graph from the choices below.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Sketch a graph of the function <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> over the interval <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Analyze and sketch a graph of the function <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
The graph of a function f is is shown below. Sketch the graph of the derivative <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The flow rate R (in liters per hour) at time t (in hours) is given by the linear model <strong>A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The flow rate R (in liters per hour) at time t (in hours) is given by the linear model   Write the linear model in exponential form.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> Write the linear model in exponential form.

A) <strong>A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The flow rate R (in liters per hour) at time t (in hours) is given by the linear model   Write the linear model in exponential form.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The flow rate R (in liters per hour) at time t (in hours) is given by the linear model   Write the linear model in exponential form.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The flow rate R (in liters per hour) at time t (in hours) is given by the linear model   Write the linear model in exponential form.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The flow rate R (in liters per hour) at time t (in hours) is given by the linear model   Write the linear model in exponential form.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The flow rate R (in liters per hour) at time t (in hours) is given by the linear model   Write the linear model in exponential form.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when   using the relation   . Round your answer to one decimal place.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> using the relation <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when   using the relation   . Round your answer to one decimal place.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . Round your answer to one decimal place. <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when   using the relation   . Round your answer to one decimal place.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when   using the relation   . Round your answer to one decimal place.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when   using the relation   . Round your answer to one decimal place.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when   using the relation   . Round your answer to one decimal place.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when   using the relation   . Round your answer to one decimal place.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when   using the relation   . Round your answer to one decimal place.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Deck 4: Section 6: Applications of Differentiation
1
The graph of a function f is is shown below. <strong>The graph of a function f is is shown below.   Sketch the graph of the derivative   .</strong> A)   B)   C)   D)   E)   Sketch the graph of the derivative <strong>The graph of a function f is is shown below.   Sketch the graph of the derivative   .</strong> A)   B)   C)   D)   E)   .

A) <strong>The graph of a function f is is shown below.   Sketch the graph of the derivative   .</strong> A)   B)   C)   D)   E)
B) <strong>The graph of a function f is is shown below.   Sketch the graph of the derivative   .</strong> A)   B)   C)   D)   E)
C) <strong>The graph of a function f is is shown below.   Sketch the graph of the derivative   .</strong> A)   B)   C)   D)   E)
D) <strong>The graph of a function f is is shown below.   Sketch the graph of the derivative   .</strong> A)   B)   C)   D)   E)
E) <strong>The graph of a function f is is shown below.   Sketch the graph of the derivative   .</strong> A)   B)   C)   D)   E)
2
The graph of f is shown below. For which values of x is <strong>The graph of f is shown below. For which values of x is   zero?  </strong> A)   B)   C)   D)   E)   zero? <strong>The graph of f is shown below. For which values of x is   zero?  </strong> A)   B)   C)   D)   E)

A) <strong>The graph of f is shown below. For which values of x is   zero?  </strong> A)   B)   C)   D)   E)
B) <strong>The graph of f is shown below. For which values of x is   zero?  </strong> A)   B)   C)   D)   E)
C) <strong>The graph of f is shown below. For which values of x is   zero?  </strong> A)   B)   C)   D)   E)
D) <strong>The graph of f is shown below. For which values of x is   zero?  </strong> A)   B)   C)   D)   E)
E) <strong>The graph of f is shown below. For which values of x is   zero?  </strong> A)   B)   C)   D)   E)
3
The graph of a function f is is shown below. Sketch the graph of the derivative <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)   . <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)

A) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)
B) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)
C) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)
D) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)
E) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)
4
A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Use the regression capabilities of the graphing utility to find a linear model for the revised data points obtained by plotting the points <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Use the regression capabilities of the graphing utility to find a linear model for the revised data points obtained by plotting the points    </strong> A)   B)   C)   D)   E)   <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Use the regression capabilities of the graphing utility to find a linear model for the revised data points obtained by plotting the points    </strong> A)   B)   C)   D)   E)

A) <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Use the regression capabilities of the graphing utility to find a linear model for the revised data points obtained by plotting the points    </strong> A)   B)   C)   D)   E)
B) <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Use the regression capabilities of the graphing utility to find a linear model for the revised data points obtained by plotting the points    </strong> A)   B)   C)   D)   E)
C) <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Use the regression capabilities of the graphing utility to find a linear model for the revised data points obtained by plotting the points    </strong> A)   B)   C)   D)   E)
D) <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Use the regression capabilities of the graphing utility to find a linear model for the revised data points obtained by plotting the points    </strong> A)   B)   C)   D)   E)
E) <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Use the regression capabilities of the graphing utility to find a linear model for the revised data points obtained by plotting the points    </strong> A)   B)   C)   D)   E)
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5
The graph of a function f is is shown below. Sketch the graph of the derivative <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)   . <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)

A) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)
B) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)
C) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)
D) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)
E) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)
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6
Sketch a graph of the function <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)   over the interval <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)
B) <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)
C) <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)
D) <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)
E) <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)
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7
Analyze and sketch a graph of the function <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
B) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
C) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
D) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
E) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
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8
Analyze and sketch a graph of the function <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
B) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
C) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
D) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
E) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
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9
The graph of f is shown below. For which value of x is <strong>The graph of f is shown below. For which value of x is   minimum?  </strong> A)   B)   C)   D)   E)   minimum? <strong>The graph of f is shown below. For which value of x is   minimum?  </strong> A)   B)   C)   D)   E)

A) <strong>The graph of f is shown below. For which value of x is   minimum?  </strong> A)   B)   C)   D)   E)
B) <strong>The graph of f is shown below. For which value of x is   minimum?  </strong> A)   B)   C)   D)   E)
C) <strong>The graph of f is shown below. For which value of x is   minimum?  </strong> A)   B)   C)   D)   E)
D) <strong>The graph of f is shown below. For which value of x is   minimum?  </strong> A)   B)   C)   D)   E)
E) <strong>The graph of f is shown below. For which value of x is   minimum?  </strong> A)   B)   C)   D)   E)
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10
Determine the slant asymptote of the graph of <strong>Determine the slant asymptote of the graph of   .</strong> A)   B)   C)   D)   E) no slant asymptotes .

A) <strong>Determine the slant asymptote of the graph of   .</strong> A)   B)   C)   D)   E) no slant asymptotes
B) <strong>Determine the slant asymptote of the graph of   .</strong> A)   B)   C)   D)   E) no slant asymptotes
C) <strong>Determine the slant asymptote of the graph of   .</strong> A)   B)   C)   D)   E) no slant asymptotes
D) <strong>Determine the slant asymptote of the graph of   .</strong> A)   B)   C)   D)   E) no slant asymptotes
E) no slant asymptotes
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11
Analyze and sketch a graph of the function <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
B) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
C) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
D) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
E) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
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12
The graph of f is shown below. For which value of x is <strong>The graph of f is shown below. For which value of x is   zero?  </strong> A)   B)   C)   D)   E)   zero? <strong>The graph of f is shown below. For which value of x is   zero?  </strong> A)   B)   C)   D)   E)

A) <strong>The graph of f is shown below. For which value of x is   zero?  </strong> A)   B)   C)   D)   E)
B) <strong>The graph of f is shown below. For which value of x is   zero?  </strong> A)   B)   C)   D)   E)
C) <strong>The graph of f is shown below. For which value of x is   zero?  </strong> A)   B)   C)   D)   E)
D) <strong>The graph of f is shown below. For which value of x is   zero?  </strong> A)   B)   C)   D)   E)
E) <strong>The graph of f is shown below. For which value of x is   zero?  </strong> A)   B)   C)   D)   E)
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13
The graph of f is shown below. On what interval is <strong>The graph of f is shown below. On what interval is   an increasing function?  </strong> A)   B)   C)   D)   E)   an increasing function? <strong>The graph of f is shown below. On what interval is   an increasing function?  </strong> A)   B)   C)   D)   E)

A) <strong>The graph of f is shown below. On what interval is   an increasing function?  </strong> A)   B)   C)   D)   E)
B) <strong>The graph of f is shown below. On what interval is   an increasing function?  </strong> A)   B)   C)   D)   E)
C) <strong>The graph of f is shown below. On what interval is   an increasing function?  </strong> A)   B)   C)   D)   E)
D) <strong>The graph of f is shown below. On what interval is   an increasing function?  </strong> A)   B)   C)   D)   E)
E) <strong>The graph of f is shown below. On what interval is   an increasing function?  </strong> A)   B)   C)   D)   E)
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14
Analyze and sketch a graph of the function <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
B) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
C) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
D) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
E) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
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15
Analyze and sketch a graph of the function <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
B) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
C) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
D) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
E) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
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16
Analyze and sketch a graph of the function <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E) none of the above .

A) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E) none of the above
B) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E) none of the above
C) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E) none of the above
D) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E) none of the above
E) none of the above
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17
Analyze the graph of the function <strong>Analyze the graph of the function   . Determine any intercepts, relative extrema, points of inflection and asymptotes. Also determine where the graph is increasing or decreasing and concave up or concave down. Then identify the graph from the choices below.</strong> A)   B)   C)   D)   E)   . Determine any intercepts, relative extrema, points of inflection and asymptotes. Also determine where the graph is increasing or decreasing and concave up or concave down. Then identify the graph from the choices below.

A) <strong>Analyze the graph of the function   . Determine any intercepts, relative extrema, points of inflection and asymptotes. Also determine where the graph is increasing or decreasing and concave up or concave down. Then identify the graph from the choices below.</strong> A)   B)   C)   D)   E)
B) <strong>Analyze the graph of the function   . Determine any intercepts, relative extrema, points of inflection and asymptotes. Also determine where the graph is increasing or decreasing and concave up or concave down. Then identify the graph from the choices below.</strong> A)   B)   C)   D)   E)
C) <strong>Analyze the graph of the function   . Determine any intercepts, relative extrema, points of inflection and asymptotes. Also determine where the graph is increasing or decreasing and concave up or concave down. Then identify the graph from the choices below.</strong> A)   B)   C)   D)   E)
D) <strong>Analyze the graph of the function   . Determine any intercepts, relative extrema, points of inflection and asymptotes. Also determine where the graph is increasing or decreasing and concave up or concave down. Then identify the graph from the choices below.</strong> A)   B)   C)   D)   E)
E) <strong>Analyze the graph of the function   . Determine any intercepts, relative extrema, points of inflection and asymptotes. Also determine where the graph is increasing or decreasing and concave up or concave down. Then identify the graph from the choices below.</strong> A)   B)   C)   D)   E)
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18
Sketch a graph of the function <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)   over the interval <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)
B) <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)
C) <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)
D) <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)
E) <strong>Sketch a graph of the function   over the interval   .</strong> A)   B)   C)   D)   E)
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19
Analyze and sketch a graph of the function <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
B) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
C) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
D) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
E) <strong>Analyze and sketch a graph of the function   .</strong> A)   B)   C)   D)   E)
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20
The graph of a function f is is shown below. Sketch the graph of the derivative <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)   . <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)

A) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)
B) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)
C) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)
D) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)
E) <strong>The graph of a function f is is shown below. Sketch the graph of the derivative   .  </strong> A)   B)   C)   D)   E)
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21
A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The flow rate R (in liters per hour) at time t (in hours) is given by the linear model <strong>A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The flow rate R (in liters per hour) at time t (in hours) is given by the linear model   Write the linear model in exponential form.</strong> A)   B)   C)   D)   E)   Write the linear model in exponential form.

A) <strong>A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The flow rate R (in liters per hour) at time t (in hours) is given by the linear model   Write the linear model in exponential form.</strong> A)   B)   C)   D)   E)
B) <strong>A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The flow rate R (in liters per hour) at time t (in hours) is given by the linear model   Write the linear model in exponential form.</strong> A)   B)   C)   D)   E)
C) <strong>A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The flow rate R (in liters per hour) at time t (in hours) is given by the linear model   Write the linear model in exponential form.</strong> A)   B)   C)   D)   E)
D) <strong>A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The flow rate R (in liters per hour) at time t (in hours) is given by the linear model   Write the linear model in exponential form.</strong> A)   B)   C)   D)   E)
E) <strong>A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The flow rate R (in liters per hour) at time t (in hours) is given by the linear model   Write the linear model in exponential form.</strong> A)   B)   C)   D)   E)
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22
A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when   using the relation   . Round your answer to one decimal place.  </strong> A)   B)   C)   D)   E)   using the relation <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when   using the relation   . Round your answer to one decimal place.  </strong> A)   B)   C)   D)   E)   . Round your answer to one decimal place. <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when   using the relation   . Round your answer to one decimal place.  </strong> A)   B)   C)   D)   E)

A) <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when   using the relation   . Round your answer to one decimal place.  </strong> A)   B)   C)   D)   E)
B) <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when   using the relation   . Round your answer to one decimal place.  </strong> A)   B)   C)   D)   E)
C) <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when   using the relation   . Round your answer to one decimal place.  </strong> A)   B)   C)   D)   E)
D) <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when   using the relation   . Round your answer to one decimal place.  </strong> A)   B)   C)   D)   E)
E) <strong>A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude when   using the relation   . Round your answer to one decimal place.  </strong> A)   B)   C)   D)   E)
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افتح القفل للوصول البطاقات البالغ عددها 22 في هذه المجموعة.