تكلم مع الذكاء الاصطناعي
Deck 3: Section 6: Differentiation
ملء الشاشة (f)
سؤال
Find the derivative of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Find the derivative of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
An airplane flies at an altitude of 6 miles towards a point directly over an observer. Consider 
and x as shown in the following figure. The speed of the plane is 400 miles per hour. Find 
when 
. Round your answer to three decimal places. 
A) -17.647 rad/hr
B) 2.941 rad/hr
C) 17.647 rad/hr
D) 0.044 rad/hr
E) -8.824 rad/hr
and x as shown in the following figure. The speed of the plane is 400 miles per hour. Find when . Round your answer to three decimal places. A) -17.647 rad/hr
B) 2.941 rad/hr
C) 17.647 rad/hr
D) 0.044 rad/hr
E) -8.824 rad/hr
سؤال
In a free-fall experiment, an object is dropped from a height of 144 feet. A camera on the ground 500 feet from the point of impact records the fall of the object as shown in the figure. Assuming the object is released at time t = 0. Find the rate of change of the angle of elevation of the camera when 
. Round your answer to four decimal places. 
A) -0.6006 rad/sec
B) -0.0581 rad/sec
C) 0.0601 rad/sec
D) 0.0581 rad/sec
E) -0.0601 rad/sec
. Round your answer to four decimal places. A) -0.6006 rad/sec
B) -0.0581 rad/sec
C) 0.0601 rad/sec
D) 0.0581 rad/sec
E) -0.0601 rad/sec
سؤال
A petrol car is parked 50 feet from a long warehouse (see figure). The revolving light on top of the car turns at a rate of 30 revolutions per minute. How fast is the light beam moving along the wall when the beam makes an angle of 
with the perpendicular from the light to the wall. 
A)
B)
C)
D)
E)
with the perpendicular from the light to the wall. A)
B)
C)
D)
E)
سؤال
Find the slope-intercept form of the equation of the line tangent to the graph of 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Find the derivative of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Find 
at the point 
for the equation 
.
A)
B)
C)
D)
E)
at the point for the equation .A)
B)
C)
D)
E)
سؤال
Find an equation of the tangent line to the graph of 
at the point 
.
A)
B)
C)
D)
E)
at the point .A)
B)
C)
D)
E)
سؤال
Find the derivative of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Find the derivative of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
In a free-fall experiment, an object is dropped from a height of 256 feet. A camera on the ground 500 feet from the point of impact records the fall of the object as shown in the figure. Assuming the object is released at time t = 0. At what time will the object reach the ground level? 
A) 3 seconds
B) 6 seconds
C) 7 seconds
D) 5 seconds
E) 4 seconds
A) 3 seconds
B) 6 seconds
C) 7 seconds
D) 5 seconds
E) 4 seconds
سؤال
An airplane flies at an altitude of 14 miles toward a point directly over an observer. Consider 
and x as shown in the following figure. Write 
as a function of x. 
A)
B)
C)
D)
E)
and x as shown in the following figure. Write as a function of x. A)
B)
C)
D)
E)
سؤال
Find 
at the point 
for the equation 
.
A)
B)
C)
D)
E)
at the point for the equation .A)
B)
C)
D)
E)
سؤال
Find the derivative of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
A petrol car is parked 40 feet from a long warehouse (see figure). The revolving light on top of the car turns at a rate of 30 revolutions per minute. Write 
as a function of x. 
A)
B)
C)
D)
E)
as a function of x. A)
B)
C)
D)
E)
فتح الحزمة
قم بالتسجيل لفتح البطاقات في هذه المجموعة!
Unlock Deck
Unlock Deck
1/16
العب
ملء الشاشة (f)
Deck 3: Section 6: Differentiation
1
Find the derivative of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
2
Find the derivative of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
3
An airplane flies at an altitude of 6 miles towards a point directly over an observer. Consider and x as shown in the following figure. The speed of the plane is 400 miles per hour. Find when . Round your answer to three decimal places.
A) -17.647 rad/hr
B) 2.941 rad/hr
C) 17.647 rad/hr
D) 0.044 rad/hr
E) -8.824 rad/hr
and x as shown in the following figure. The speed of the plane is 400 miles per hour. Find when . Round your answer to three decimal places. A) -17.647 rad/hr
B) 2.941 rad/hr
C) 17.647 rad/hr
D) 0.044 rad/hr
E) -8.824 rad/hr
17.647 rad/hr
4
In a free-fall experiment, an object is dropped from a height of 144 feet. A camera on the ground 500 feet from the point of impact records the fall of the object as shown in the figure. Assuming the object is released at time t = 0. Find the rate of change of the angle of elevation of the camera when . Round your answer to four decimal places.
A) -0.6006 rad/sec
B) -0.0581 rad/sec
C) 0.0601 rad/sec
D) 0.0581 rad/sec
E) -0.0601 rad/sec
. Round your answer to four decimal places. A) -0.6006 rad/sec
B) -0.0581 rad/sec
C) 0.0601 rad/sec
D) 0.0581 rad/sec
E) -0.0601 rad/sec
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 16 في هذه المجموعة.
فتح الحزمة
k this deck
5
A petrol car is parked 50 feet from a long warehouse (see figure). The revolving light on top of the car turns at a rate of 30 revolutions per minute. How fast is the light beam moving along the wall when the beam makes an angle of with the perpendicular from the light to the wall.
A)
B)
C)
D)
E)
with the perpendicular from the light to the wall. A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 16 في هذه المجموعة.
فتح الحزمة
k this deck
6
Find the slope-intercept form of the equation of the line tangent to the graph of .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 16 في هذه المجموعة.
فتح الحزمة
k this deck
7
Find the derivative of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 16 في هذه المجموعة.
فتح الحزمة
k this deck
8
Find at the point for the equation .
A)
B)
C)
D)
E)
at the point for the equation .A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 16 في هذه المجموعة.
فتح الحزمة
k this deck
9
Find an equation of the tangent line to the graph of at the point .
A)
B)
C)
D)
E)
at the point .A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 16 في هذه المجموعة.
فتح الحزمة
k this deck
10
Find the derivative of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 16 في هذه المجموعة.
فتح الحزمة
k this deck
11
Find the derivative of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 16 في هذه المجموعة.
فتح الحزمة
k this deck
12
In a free-fall experiment, an object is dropped from a height of 256 feet. A camera on the ground 500 feet from the point of impact records the fall of the object as shown in the figure. Assuming the object is released at time t = 0. At what time will the object reach the ground level?
A) 3 seconds
B) 6 seconds
C) 7 seconds
D) 5 seconds
E) 4 seconds
A) 3 seconds
B) 6 seconds
C) 7 seconds
D) 5 seconds
E) 4 seconds
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 16 في هذه المجموعة.
فتح الحزمة
k this deck
13
An airplane flies at an altitude of 14 miles toward a point directly over an observer. Consider and x as shown in the following figure. Write as a function of x.
A)
B)
C)
D)
E)
and x as shown in the following figure. Write as a function of x. A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 16 في هذه المجموعة.
فتح الحزمة
k this deck
14
Find at the point for the equation .
A)
B)
C)
D)
E)
at the point for the equation .A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 16 في هذه المجموعة.
فتح الحزمة
k this deck
15
Find the derivative of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 16 في هذه المجموعة.
فتح الحزمة
k this deck
16
A petrol car is parked 40 feet from a long warehouse (see figure). The revolving light on top of the car turns at a rate of 30 revolutions per minute. Write as a function of x.
A)
B)
C)
D)
E)
as a function of x. A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 16 في هذه المجموعة.
فتح الحزمة
k this deck
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 16 في هذه المجموعة.
