Question 1

Use the graph of f given below to find f(-10).

Accepted Answer

A) 16 
B) -10 
C) 0 
D) 6

Question 2

Find f'(x) if

Accepted Answer

A)   
B)   
C)   
D)

Question 3

Suppose an object moves along the y-axis so that its location is y = f(x) = x² + x at time x (y is in meters and x is in seconds). Find the instantaneous velocity at x = 4 seconds.

Accepted Answer

A)  8 m/s 
B)  9 m/s 
C)  20 m/s 
D)  10 m/s

Question 4

Accepted Answer

A) -14 
B) -41 
C) 6 
D) -39

Question 5

Is f continuous at x = 0?

Accepted Answer

A) Yes 
B) No

Question 6

Accepted Answer

A) 65 
B) -52 
C) 67 
D) -50

Question 7

According to one theory of learning,the number of items,w(t),that a person can learn after t hours of instruction is given by:  Find the rate of learning at the end of eight hours of instruction.

Accepted Answer

A) 20 items per hour 
B) 60 items per hour 
C) 5 items per hour 
D) 45 items per hour

Question 8

Accepted Answer

The answer of  ...

Question 9

Accepted Answer

A) -55 
B) 15 
C) -15 
D) 55

Question 10

C(x).

Accepted Answer

A) 14 
B) 10 
C) 6 
D) Does not exist

Question 11

Suppose an object moves along the y-axis so that its location is y = f(x) = at time x (y is in meters and x is in seconds). Find the average velocity (the average rate of change of y with respect to x) for x changing from 2 to 9 seconds.

Accepted Answer

A)  84m/s 
B)  12m/s 
C)  15m/s 
D)  3m/s

Question 12

Accepted Answer

The answer of ...

Question 13

y = 2x + 3; x = 18,6x = 0.5

Accepted Answer

A) 0.5 
B) 5 
C) 1 
D) 0.1

Question 14

The total cost in dollars of producing x lawn mowers is given by C(x) = 4,000 +90x -  Find the marginal
average cost at x = 20,  and interpret the result.

Accepted Answer

A)  -$10.33; a unit increase in produuction will decrease the average cost per unit by approximately $10.33 ata
production level of 20 units. 
B)  -$13.33; a unit increase in production will decrease the average cost per unit by approximately $13.33 at a
production level of 20 units. 
C) -$1.33;  unit increase in prodction will decrease the average cost per unit by approximately $1.33 at a
production level of 20 units. 
D)  -$20.33; a unit increase in production will decrease the average cost per unit by approximately $20.33 at a
production level of 20 units.

Question 15

Accepted Answer

A) x = 2 
B) x = -2,x = 2 
C) x = 0 
D) x = -2,x = 0,x = 2

Question 16

Find f'(x) if f(x) =n.

Accepted Answer

A)  f'(x)=0 
B)  f'(x)=1 
C)  f('x)=n 
D)

Question 17

Accepted Answer

The answer of  ...

Question 18

Is f continuous at x = 0?

Accepted Answer

A) No 
B) Yes

Question 19

Suppose an object moves along the y-axis so that its location is y = f(x)= x² + x at time x (y is in meters and x is in seconds). Find the average veloity for x changing from 3to 3 + h seconds.

Accepted Answer

A)  7-h m/s 
B)  12+h m/s 
C)  12-h m/s 
D)  7 +h m/s

Question 20

Accepted Answer

A) -2 
B) -1 
C) 2 
D) 1

Exam 11: Mathematical Functions and Limits

Use the graph of f given below to find f(-10) .

Find f'(x) if

Suppose an object moves along the y-axis so that its location is y = f(x) = x² + x at time x (y is in meters and x is in seconds) . Find the instantaneous velocity at x = 4 seconds.

Is f continuous at x = 0?

According to one theory of learning,the number of items,w(t) ,that a person can learn after t hours of instruction is given by: Find the rate of learning at the end of eight hours of instruction.

C(x) .

Suppose an object moves along the y-axis so that its location is y = f(x) = at time x (y is in meters and x is in seconds) . Find the average velocity (the average rate of change of y with respect to x) for x changing from 2 to 9 seconds.

y = 2x + 3; x = 18,6x = 0.5

The total cost in dollars of producing x lawn mowers is given by C(x) = 4,000 +90x - Find the marginal average cost at x = 20, and interpret the result.

Find f'(x) if f(x) =n.

Is f continuous at x = 0?

Suppose an object moves along the y-axis so that its location is y = f(x) = x² + x at time x (y is in meters and x is in seconds) . Find the average veloity for x changing from 3to 3 + h seconds.