Question 1

Under a set of controlled laboratory conditions, the size of the population of a certain bacteria culture at time t (in minutes) is described by the function
​  ​
Find the rate of population growth at  min.
​
rate = __________

Accepted Answer

The answer of Under a set of controlled laboratory conditions,...

Question 2

Find the constants m in the linear function f (x) = mx + b, so that f (0) = 9 and f (2) = 5.
​
__________
​
Find the constants b in the linear function f (x) = mx + b, so that f (0) = 9 and f (2) = 5.
​
__________

Accepted Answer

The answer of Find the constants m in the linear...

Question 3

Find the limit, if it exists. Otherwise, answer no solution.
​

Accepted Answer

The answer of Find the limit, if it exists. Otherwise,...

Question 4

The function that gives the cost of a certain commodity is defined by ​  ​
Where x is the number of pounds of a certain commodity sold and C(x) is measured in dollars. Sketch the graph of the function C.
​
Determine the values of x for which the function C is discontinuous.
​

Accepted Answer

A)  ​  x = 20, 30, 40 
B)  ​  x = 50, 60 
C)  ​  x = 20, 30, 40

Question 5

Determine all values of x at which the function is discontinuous. ​  ​

Accepted Answer

A)  -4 and 4 
B)  9 
C)  -7 and 7 
D)  -6

Question 6

Find  and  , where ​  ​

Accepted Answer

A)   ,  
B)   ,  
C)  ​  ,  
D)  ​  ,  
E)  The limits do not exist

Question 7

Find the indicated one-sided limit.
​

Accepted Answer

The answer of Find the indicated one-sided limit.
​ ...

Question 8

Select the correct graph of the function f and evaluate  if it exists.
​  ​     ​
Select the correct graph of the function. Answer A, B, C or D.
​
__________
​
Evaluate the limit. If the limit does not exist, answer no solution.
​
__________

Accepted Answer

The answer of Select the correct graph of the function...

Question 9

Determine all values of x at which the function is discontinuous.
​  ​
x = __________

Accepted Answer

The answer of Determine all values of x at which...

Question 10

The volume of a spherical cancerous tumor is given by the function  where  is the radius of the tumor in centimeters. By what factor is the volume of the tumor increased if its radius is decuple? ​

Accepted Answer

A)  100 
B)  10,000 
C)  1,000 
D)  10 
E)  10,000,000

Question 11

Economists define the disposable annual income for an individual by the equation D = (1 - r)T, where T is the individual's total income and r is the net rate at which he or she is taxed. What is the disposable income for an individual whose income is $20,000 and whose net tax rate is 31%? ​

Accepted Answer

A)  $6,200 
B)  $47,600 
C)  $20,000 
D)  $13,800 
E)  $33,800

Question 12

The position of car A and car B, starting out side by side and traveling along a straight road, is given by s = f(t) and s = g(t), respectively, where s is measured in feet and t is measured in seconds (see the accompanying figure). Which car is traveling faster at t₁? Car __________ Which car is traveling faster at t₂?

Accepted Answer

The answer of The position of car A and car...

Question 13

Let f be the function defined by  Find  ,  , and  . ​

Accepted Answer

A)   ,  ,  
B)   ,  ,  
C)   ,  ,  
D)   ,  ,  
E)   ,  ,

Question 14

Entomologists have discovered that a linear relationship exists between the number of chirps of crickets of a certain species and the air temperature. When the temperature is 60° F, the crickets chirp at the rate of 120 times/minute, and when the temperature is 70° F, they chirp at the rate of 150 times/minute. Find an equation giving the relationship between the air temperature T and the number of chirps/minute N of the crickets. ​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 15

During the construction of a high-rise building, a worker accidentally dropped his portable electric screwdriver from a height of 400 ft. After t sec, the screwdriver had fallen a distance of  ft.
​
How long did it take the screwdriver to reach the ground?
​
__________ sec
​
What was the average velocity of the screwdriver between the time it was dropped and the time it hit the ground?
​
__________ ft/sec
​
What was the velocity of the screwdriver at the time it hit the ground?
​
__________ ft/sec

Accepted Answer

The answer of During the construction of a high-rise building,...

Question 16

If f and g are functions, then  .
​

Accepted Answer

A) True 
 B)False

Question 17

Find  of the functions. ​  ,  ​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 18

Suppliers of transistor radios will market 10,000 units when the unit price is $35 and 62,500 units when the unit price is $65. Determine the supply function if it is known to have the form ​  ​
Where x is the quantity supplied and p is the unit price in dollars.
​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 19

Let  ​
Find the value of k that will make f continuous on  .
​
k = __________

Accepted Answer

The answer of Let  ​
Find the value of k...

Question 20

Ace Truck leases its 10-ft box truck at $30/day and $0.45/mi, whereas Acme Truck leases a similar truck at $25/day and $0.55/mi. Find the daily cost of leasing from each company as a function of x number of miles driven.

Accepted Answer

The answer of Ace Truck leases its 10-ft box truck...

Exam 2: Functions, Limits, and the Derivative

Under a set of controlled laboratory conditions, the size of the population of a certain bacteria culture at time t (in minutes) is described by the function Find the rate of population growth at min. rate = __________

Find the constants m in the linear function f (x) = mx + b, so that f (0) = 9 and f (2) = 5. Find the constants b in the linear function f (x) = mx + b, so that f (0) = 9 and f (2) = 5.

Find the limit, if it exists. Otherwise, answer no solution.

The function that gives the cost of a certain commodity is defined by Where x is the number of pounds of a certain commodity sold and C(x) is measured in dollars. Sketch the graph of the function C. Determine the values of x for which the function C is discontinuous.

Determine all values of x at which the function is discontinuous.

Find and , where

Find the indicated one-sided limit.

Select the correct graph of the function f and evaluate if it exists. Select the correct graph of the function. Answer A, B, C or D. Evaluate the limit. If the limit does not exist, answer no solution.

Determine all values of x at which the function is discontinuous. x = __________

The volume of a spherical cancerous tumor is given by the function where is the radius of the tumor in centimeters. By what factor is the volume of the tumor increased if its radius is decuple?

Economists define the disposable annual income for an individual by the equation D = (1 - r) T, where T is the individual's total income and r is the net rate at which he or she is taxed. What is the disposable income for an individual whose income is $20,000 and whose net tax rate is 31%?

Let f be the function defined by Find , , and .

If f and g are functions, then .

Find of the functions. ,

Suppliers of transistor radios will market 10,000 units when the unit price is $35 and 62,500 units when the unit price is $65. Determine the supply function if it is known to have the form Where x is the quantity supplied and p is the unit price in dollars.

Let Find the value of k that will make f continuous on . k = __________

Ace Truck leases its 10-ft box truck at $30/day and $0.45/mi, whereas Acme Truck leases a similar truck at $25/day and $0.55/mi. Find the daily cost of leasing from each company as a function of x number of miles driven.

Exam 2: Functions, Limits, and the Derivative

Under a set of controlled laboratory conditions, the size of the population of a certain bacteria culture at time t (in minutes) is described by the function ​ ​ Find the rate of population growth at min. ​ rate = __________

Find the constants m in the linear function f (x) = mx + b, so that f (0) = 9 and f (2) = 5. ​ __________ ​ Find the constants b in the linear function f (x) = mx + b, so that f (0) = 9 and f (2) = 5. ​ __________

Find the limit, if it exists. Otherwise, answer no solution. ​

The function that gives the cost of a certain commodity is defined by ​ ​ Where x is the number of pounds of a certain commodity sold and C(x) is measured in dollars. Sketch the graph of the function C. ​ Determine the values of x for which the function C is discontinuous. ​

Determine all values of x at which the function is discontinuous. ​ ​

Find and , where ​ ​

Find the indicated one-sided limit. ​

Select the correct graph of the function f and evaluate if it exists. ​ ​ ​ Select the correct graph of the function. Answer A, B, C or D. ​ __________ ​ Evaluate the limit. If the limit does not exist, answer no solution. ​ __________

Determine all values of x at which the function is discontinuous. ​ ​ x = __________

The volume of a spherical cancerous tumor is given by the function where is the radius of the tumor in centimeters. By what factor is the volume of the tumor increased if its radius is decuple? ​

Economists define the disposable annual income for an individual by the equation D = (1 - r) T, where T is the individual's total income and r is the net rate at which he or she is taxed. What is the disposable income for an individual whose income is $20,000 and whose net tax rate is 31%? ​

Let f be the function defined by Find , , and . ​

If f and g are functions, then . ​

Find of the functions. ​ , ​

Suppliers of transistor radios will market 10,000 units when the unit price is $35 and 62,500 units when the unit price is $65. Determine the supply function if it is known to have the form ​ ​ Where x is the quantity supplied and p is the unit price in dollars. ​

Let ​ Find the value of k that will make f continuous on . ​ k = __________

Ace Truck leases its 10-ft box truck at $30/day and $0.45/mi, whereas Acme Truck leases a similar truck at $25/day and $0.55/mi. Find the daily cost of leasing from each company as a function of x number of miles driven.

Under a set of controlled laboratory conditions, the size of the population of a certain bacteria culture at time t (in minutes) is described by the function Find the rate of population growth at min. rate = __________

Find the constants m in the linear function f (x) = mx + b, so that f (0) = 9 and f (2) = 5. Find the constants b in the linear function f (x) = mx + b, so that f (0) = 9 and f (2) = 5.

Find the limit, if it exists. Otherwise, answer no solution.

The function that gives the cost of a certain commodity is defined by Where x is the number of pounds of a certain commodity sold and C(x) is measured in dollars. Sketch the graph of the function C. Determine the values of x for which the function C is discontinuous.

Determine all values of x at which the function is discontinuous.

Find and , where

Find the indicated one-sided limit.

Select the correct graph of the function f and evaluate if it exists. Select the correct graph of the function. Answer A, B, C or D. Evaluate the limit. If the limit does not exist, answer no solution.

Determine all values of x at which the function is discontinuous. x = __________

The volume of a spherical cancerous tumor is given by the function where is the radius of the tumor in centimeters. By what factor is the volume of the tumor increased if its radius is decuple?

Economists define the disposable annual income for an individual by the equation D = (1 - r) T, where T is the individual's total income and r is the net rate at which he or she is taxed. What is the disposable income for an individual whose income is $20,000 and whose net tax rate is 31%?

Let f be the function defined by Find , , and .

If f and g are functions, then .

Find of the functions. ,

Suppliers of transistor radios will market 10,000 units when the unit price is $35 and 62,500 units when the unit price is $65. Determine the supply function if it is known to have the form Where x is the quantity supplied and p is the unit price in dollars.

Let Find the value of k that will make f continuous on . k = __________