Question 1

f(x) =

Accepted Answer

A)    
B)    
C)   
D)    
A)    
B)    
C)   
D)

Question 2

Accepted Answer

The answer of  ...

Question 3

Find the derivative of

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 4

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 5

Find the average rate of change of y with respect to x if x changes from 3 to 5 in the function y =

Accepted Answer

A) 22 
B) 4 
C) 9 
D) 11 
A) 22 
B) 4 
C) 9 
D) 11

Question 6

If an object moves along a line so that it is at y = f(x) =   at time x (in seconds), find the instantaneous velocity function v = f'(x).

Accepted Answer

A)    
B)  6x+7 
C)    
D)  3x+7 
A)    
B)  6x+7 
C)    
D)  3x+7

Question 7

Accepted Answer

The answer of  ...

Question 8

The electric power p (in W) as a function of the current i (in A) in a certain circuit is given by p(i) =  .
Find the instantaneous rate of change of p with respect to i for i = 0.6 A.

Accepted Answer

A)  56 W/A 
B)  42 W/A 
C)  62 W/A 
D)  33.6 W/A 
A)  56 W/A 
B)  42 W/A 
C)  62 W/A 
D)  33.6 W/A

Question 9

Accepted Answer

The answer of  ...

Question 10

Accepted Answer

A) y = 216x + 54 
B) y = 54x + 216 
C) y = 18x + 216 
D) y = 216x + 18 
A) y = 216x + 54 
B) y = 54x + 216 
C) y = 18x + 216 
D) y = 216x + 18

Question 11

Accepted Answer

A) 20 
B) 8 
C) 22 
D) 16 
A) 20 
B) 8 
C) 22 
D) 16

Question 12

An object moves along the y-axis (marked in feet) so that its position at time t (in seconds) is given by (t) =   Find the velocity at three seconds.

Accepted Answer

A)  197 feet per second 
B)  192 feet per second 
C)  109 feet per second 
D)  190 feet per second 
A)  197 feet per second 
B)  192 feet per second 
C)  109 feet per second 
D)  190 feet per second

Question 13

Is f continuous at x = -0.5?

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 14

marginal profit at a production level of 3,000 and interpret the result.

Accepted Answer

A) $14; at the 3,000 level of production,profit will increase by approximately $14 for each unit increase in production. 
B) $16; at the 3,000 level of production,profit will increase by approximately $16 for each unit increase in production. 
C) $7; at the 3,000 level of production,profit will increase by approximately $7 for each unit increase in production. 
D) $4; at the 3,000 level of production,profit will increase by approximately $4 for each unit increase in production. 
A) $14; at the 3,000 level of production,profit will increase by approximately $14 for each unit increase in production. 
B) $16; at the 3,000 level of production,profit will increase by approximately $16 for each unit increase in production. 
C) $7; at the 3,000 level of production,profit will increase by approximately $7 for each unit increase in production. 
D) $4; at the 3,000 level of production,profit will increase by approximately $4 for each unit increase in production.

Question 15

Suppose that the total profit in hundreds of dollars from selling x items is given by P(x)=4x2 - 5x + 10.Find the marginal profit at x = 5.

Accepted Answer

A) $45 
B) $15 
C) $35 
D) $32 
A) $45 
B) $15 
C) $35 
D) $32

Question 16

Find the equation of the tangent line at x = 2 for   Write the answer in the form y =mx+b.

Accepted Answer

A)  y=-43x+48 
B)  y=-47x +68 
C)  y=-43x +60 
D)  y=-39x +52 
A)  y=-43x+48 
B)  y=-47x +68 
C)  y=-43x +60 
D)  y=-39x +52

Question 17

Accepted Answer

A) 27 
B) 9 
C) 6 
D) 12 
A) 27 
B) 9 
C) 6 
D) 12

Question 18

Accepted Answer

A) -1 
B) 1 
C) 0 
D) Does not exist 
A) -1 
B) 1 
C) 0 
D) Does not exist

f(x) =

Find the derivative of

Find the average rate of change of y with respect to x if x changes from 3 to 5 in the function y =

If an object moves along a line so that it is at y = f(x) = at time x (in seconds), find the instantaneous velocity function v = f'(x).

The electric power p (in W) as a function of the current i (in A) in a certain circuit is given by p(i) = . Find the instantaneous rate of change of p with respect to i for i = 0.6 A.

An object moves along the y-axis (marked in feet) so that its position at time t (in seconds) is given by (t) = Find the velocity at three seconds.

Is f continuous at x = -0.5?

marginal profit at a production level of 3,000 and interpret the result.

Suppose that the total profit in hundreds of dollars from selling x items is given by P(x)=4x2 - 5x + 10.Find the marginal profit at x = 5.

Find the equation of the tangent line at x = 2 for Write the answer in the form y =mx+b.

Linear Equations and Graphs

Mathematics of Finance

Linear Inequalities and Linear Programming

Logic, sets, and Counting

Probability

Markov Chains

Limits and the Derivative

Filters

Exam 11: Mathematical Functions and Limits

f(x) =

Find the derivative of

Find the average rate of change of y with respect to x if x changes from 3 to 5 in the function y =

If an object moves along a line so that it is at y = f(x) = at time x (in seconds), find the instantaneous velocity function v = f'(x).

The electric power p (in W) as a function of the current i (in A) in a certain circuit is given by p(i) = . Find the instantaneous rate of change of p with respect to i for i = 0.6 A.

An object moves along the y-axis (marked in feet) so that its position at time t (in seconds) is given by (t) = Find the velocity at three seconds.

Is f continuous at x = -0.5?

marginal profit at a production level of 3,000 and interpret the result.

Suppose that the total profit in hundreds of dollars from selling x items is given by P(x)=4x2 - 5x + 10.Find the marginal profit at x = 5.

Find the equation of the tangent line at x = 2 for Write the answer in the form y =mx+b.

Linear Equations and Graphs

Mathematics of Finance

Linear Inequalities and Linear Programming

Logic, sets, and Counting

Probability

Markov Chains

Limits and the Derivative

Filters