تكلم مع الذكاء الاصطناعي
Deck 13: Section 1: Functions of Several Variables
ملء الشاشة (f)
سؤال
Find and simplify the function 
at the given value 
.
A) -42
B) -14
C) 42
D) 14
E)
at the given value .A) -42
B) -14
C) 42
D) 14
E)
سؤال
Sketch the surface given by the function. 
A)
B)
C)
D)
E) none of the above
A)
B)
C)
D)
E) none of the above
سؤال
Find and simplify 
for the given function 
.
A)
B)
C)
D)
E)
for the given function .A)
B)
C)
D)
E)
سؤال
Sketch the level curves of the function 
for the given c-values 
.
A)
B)
C)
D)
E)
for the given c-values .A)
B)
C)
D)
E)
سؤال
According to the Ideal Gas Law, 
, where P is pressure, V is volume, T is temperature (in Kelvins), and k is a constant of proportionality. A tank contains 2000 cubic inches of nitrogen at a pressure of 26 pounds per square inch and a temperature of 600 K. Determine k.
A)
B)
C)
D)
E)
, where P is pressure, V is volume, T is temperature (in Kelvins), and k is a constant of proportionality. A tank contains 2000 cubic inches of nitrogen at a pressure of 26 pounds per square inch and a temperature of 600 K. Determine k.A)
B)
C)
D)
E)
سؤال
According to the Ideal Gas Law, 
where P is pressure, V is volume, T is temperature (in Kelvins), and k is a constant of proportionality. A tank contains 3500 cubic inches of nitrogen at a pressure of 34 pounds per square inch and a temperature of 300 K. Write P as a function of V and T after evaluating k.
A)
B)
C)
D)
E)
where P is pressure, V is volume, T is temperature (in Kelvins), and k is a constant of proportionality. A tank contains 3500 cubic inches of nitrogen at a pressure of 34 pounds per square inch and a temperature of 300 K. Write P as a function of V and T after evaluating k.A)
B)
C)
D)
E)
سؤال
Sketch the surface given by the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Describe the domain of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Find and simplify the function 
at the given value 
.
A) -56
B) -26
C) -14
D) -44
E) -27
at the given value .A) -56
B) -26
C) -14
D) -44
E) -27
سؤال
Assume in 2009, an investment of $2400 was made in a bond earning 9% compounded annually. Assume that the buyer pays at rate R and the annual rate of inflation is I. Suppose in the year 2019, the value V of the investment in constant 2009 dollars is 
. Calculate the function 
for 
and 
. Round your answer to the nearest cent.
A) $5,148.94
B) $3,319.05
C) $2,493.01
D) $2,479.09
E) $4,219.43
. Calculate the function for and . Round your answer to the nearest cent.A) $5,148.94
B) $3,319.05
C) $2,493.01
D) $2,479.09
E) $4,219.43
سؤال
The average length of time that a customer waits in line for service is 
where y is the average arrival rate, written as the number of customers per unit of time, and x is the average service rate, written in the same units. Evaluate 
. Note: x and y are given as the number of customers per hour.
A) 7 min
B) 5 min
C) 3 min
D) 4 min
E) 6 min
where y is the average arrival rate, written as the number of customers per unit of time, and x is the average service rate, written in the same units. Evaluate . Note: x and y are given as the number of customers per hour.A) 7 min
B) 5 min
C) 3 min
D) 4 min
E) 6 min
سؤال
A rectangular box with an open top has a length of x feet, a width of y feet, and a height of z feet. It costs $2.10 per square foot to build the base and $0.75 per square foot to build the sides. Write the cost C of constructing the box as a function of x, y, and z.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find and simplify the function 
at the given value 
.
A)
B)
C)
D)
E)
at the given value .A)
B)
C)
D)
E)
سؤال
Assume a rule that is one of several methods used to determine the lumber yield of a log (in board-feet) in terms of its diameter d (in inches) and its length L (in feet). The number of board-feet is 
. Find the number of board-feet of lumber in a log 28 inches in diameter and 
feet in length.
A) 7,290 board-feet
B) 1,690 board-feet
C) 270 board-feet
D) 3,380 board-feet
E) 6,760 board-feet
. Find the number of board-feet of lumber in a log 28 inches in diameter and feet in length.A) 7,290 board-feet
B) 1,690 board-feet
C) 270 board-feet
D) 3,380 board-feet
E) 6,760 board-feet
سؤال
Sketch the level curves for the function 
for the given c-values 
.
A)
B)
C)
D)
E)
for the given c-values .A)
B)
C)
D)
E)
سؤال
Describe the level curves of the function. Sketch the level curves for the given c-values. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find and simplify the function 
at the given value 
.
A)
B)
C)
D)
E)
at the given value .A)
B)
C)
D)
E)
سؤال
Describe the domain of the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Find and simplify the function 
at the given value 
.
A)
B)
C)
D)
E)
at the given value .A)
B)
C)
D)
E)
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العب
ملء الشاشة (f)
Deck 13: Section 1: Functions of Several Variables
1
Find and simplify the function at the given value .
A) -42
B) -14
C) 42
D) 14
E)
at the given value .A) -42
B) -14
C) 42
D) 14
E)
42
2
Sketch the surface given by the function.
A)
B)
C)
D)
E) none of the above
A)
B)
C)
D)
E) none of the above
3
Find and simplify for the given function .
A)
B)
C)
D)
E)
for the given function .A)
B)
C)
D)
E)
4
Sketch the level curves of the function for the given c-values .
A)
B)
C)
D)
E)
for the given c-values .A)
B)
C)
D)
E)
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5
According to the Ideal Gas Law, , where P is pressure, V is volume, T is temperature (in Kelvins), and k is a constant of proportionality. A tank contains 2000 cubic inches of nitrogen at a pressure of 26 pounds per square inch and a temperature of 600 K. Determine k.
A)
B)
C)
D)
E)
, where P is pressure, V is volume, T is temperature (in Kelvins), and k is a constant of proportionality. A tank contains 2000 cubic inches of nitrogen at a pressure of 26 pounds per square inch and a temperature of 600 K. Determine k.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 19 في هذه المجموعة.
فتح الحزمة
k this deck
6
According to the Ideal Gas Law, where P is pressure, V is volume, T is temperature (in Kelvins), and k is a constant of proportionality. A tank contains 3500 cubic inches of nitrogen at a pressure of 34 pounds per square inch and a temperature of 300 K. Write P as a function of V and T after evaluating k.
A)
B)
C)
D)
E)
where P is pressure, V is volume, T is temperature (in Kelvins), and k is a constant of proportionality. A tank contains 3500 cubic inches of nitrogen at a pressure of 34 pounds per square inch and a temperature of 300 K. Write P as a function of V and T after evaluating k.A)
B)
C)
D)
E)
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k this deck
7
Sketch the surface given by the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
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k this deck
8
Describe the domain of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 19 في هذه المجموعة.
فتح الحزمة
k this deck
9
Find and simplify the function at the given value .
A) -56
B) -26
C) -14
D) -44
E) -27
at the given value .A) -56
B) -26
C) -14
D) -44
E) -27
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افتح القفل للوصول البطاقات البالغ عددها 19 في هذه المجموعة.
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k this deck
10
Assume in 2009, an investment of $2400 was made in a bond earning 9% compounded annually. Assume that the buyer pays at rate R and the annual rate of inflation is I. Suppose in the year 2019, the value V of the investment in constant 2009 dollars is . Calculate the function for and . Round your answer to the nearest cent.
A) $5,148.94
B) $3,319.05
C) $2,493.01
D) $2,479.09
E) $4,219.43
. Calculate the function for and . Round your answer to the nearest cent.A) $5,148.94
B) $3,319.05
C) $2,493.01
D) $2,479.09
E) $4,219.43
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افتح القفل للوصول البطاقات البالغ عددها 19 في هذه المجموعة.
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11
The average length of time that a customer waits in line for service is where y is the average arrival rate, written as the number of customers per unit of time, and x is the average service rate, written in the same units. Evaluate . Note: x and y are given as the number of customers per hour.
A) 7 min
B) 5 min
C) 3 min
D) 4 min
E) 6 min
where y is the average arrival rate, written as the number of customers per unit of time, and x is the average service rate, written in the same units. Evaluate . Note: x and y are given as the number of customers per hour.A) 7 min
B) 5 min
C) 3 min
D) 4 min
E) 6 min
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افتح القفل للوصول البطاقات البالغ عددها 19 في هذه المجموعة.
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12
A rectangular box with an open top has a length of x feet, a width of y feet, and a height of z feet. It costs $2.10 per square foot to build the base and $0.75 per square foot to build the sides. Write the cost C of constructing the box as a function of x, y, and z.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 19 في هذه المجموعة.
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13
Find and simplify the function at the given value .
A)
B)
C)
D)
E)
at the given value .A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 19 في هذه المجموعة.
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14
Assume a rule that is one of several methods used to determine the lumber yield of a log (in board-feet) in terms of its diameter d (in inches) and its length L (in feet). The number of board-feet is . Find the number of board-feet of lumber in a log 28 inches in diameter and feet in length.
A) 7,290 board-feet
B) 1,690 board-feet
C) 270 board-feet
D) 3,380 board-feet
E) 6,760 board-feet
. Find the number of board-feet of lumber in a log 28 inches in diameter and feet in length.A) 7,290 board-feet
B) 1,690 board-feet
C) 270 board-feet
D) 3,380 board-feet
E) 6,760 board-feet
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15
Sketch the level curves for the function for the given c-values .
A)
B)
C)
D)
E)
for the given c-values .A)
B)
C)
D)
E)
فتح الحزمة
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16
Describe the level curves of the function. Sketch the level curves for the given c-values.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
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17
Find and simplify the function at the given value .
A)
B)
C)
D)
E)
at the given value .A)
B)
C)
D)
E)
فتح الحزمة
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18
Describe the domain of the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
فتح الحزمة
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19
Find and simplify the function at the given value .
A)
B)
C)
D)
E)
at the given value .A)
B)
C)
D)
E)
فتح الحزمة
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