Question 1

If an object moves along a line so that it is at y = f(x) = 10x² at time x (in seconds), find the velocity at x =1 (y is measured in feet).

Accepted Answer

A)  20 ft/s 
B)  10 ft/s 
C)   6 ft/sec 
D)   200 ft/s A

Question 2

Find the equation of the tangent line at x = 7 for f(x) =  Write the answer in the form y = mx +b.

Accepted Answer

A)   y= -2x 
B)   y=-14x+55 
C)   y=14x-55 
D)   y=7x+55 B

Question 3

Find f'(x) for f(x) =

Accepted Answer

A)    
B)    
C)    
D)    B

Question 4

Determine the limit.

Accepted Answer

A)  -2
B)  œ
C)  -œ
D)  5

Question 5

f(x) =

Accepted Answer

A)  10-3x 
B)   -6x 
C)   10-6x 
D)

Question 6

A pen manufacturer determined that the total cost in dollars of producing x dozen pens in one day is given by:
  0 c x c 100
Find the marginal cost at a production level of 70 dozen pens and interpret the result.

Accepted Answer

A)   The marginal cost is $0.60/doz. The cost of producing 1 dozen more pens at a production level of 70 dozenpens is approximately $0.60.
B)   The marginal cost is $0.59/doz. The cost of producing 1 dozen more pens at a production level of 70 dozenpens is approximately $0.59.
C)   The marginal cost is $0.62/doz. The cost of producing 1 dozen more pens at a production level of 70 dozenpens is approximately $0.62.
D)   The marginal cost is $0.58/doz. The cost of producing 1 dozen more pens at a production level of 70 dozenpens is approximately $0.58.

Question 7

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

Accepted Answer

A)    
B)   
C)    
D)

Question 8

Accepted Answer

The answer of ...

Question 9

Accepted Answer

A)  x = -2,x = 2
B)  x = -3,x = 0,x = 3
C)  x = -3,x = 3
D)  x = -2,x = 0,x = 2

Question 10

Accepted Answer

The answer of   ...

Question 11

Find y' if y = 6x.

Accepted Answer

The answer of Find y' if y = 6x....

Question 12

Accepted Answer

A)  x = 2
B)  x = 0
C)  x = 1
D)  x = -1

Question 13

A company is planning to manufacture a new blender.After conducting extensive market surveys,the research department estimates a weekly demand of 600 blenders at a price of $50 per blender and a weekly demand of 800 blenders at a price of $40 per blender.Assuming the demand equation is linear,use the research department's estimates to find the revenue equation in terms of the demand x.

Accepted Answer

The answer of A company is planning to manufacture a...

Question 14

Suppose the demand for a certain item is given by D(p) =  where p represents the price of the item. Find D'(p), the rate of change of demand with respect to price.

Accepted Answer

A)    
B)   D'(p) =-8p+3 
C)   D'(p) =-4p+3 
D)

Question 15

Let f and g be functions that satisfy f'(4)= 2 and g'(4)= -3.Find h'(4)for h(x)= 3f(x)- g(x)+ 2.

Accepted Answer

A)  5
B)  2
C)  11
D)  9

Question 16

Accepted Answer

The answer of ...

Question 17

Find: lim x·- 4

Accepted Answer

A)  - 24
B)  8
C)  16
D)  -8

Question 18

y=

Accepted Answer

A)   18x dx 
B)   (18x +9)  dx 
C)   18x +18 dx 
D)   18x - 3 dx

Question 19

The cost of renting a snowblower is $20 for the first hour (or any fraction thereof)and $5 for each additional hour (or fraction thereof)up to a maximum rental time of 5 hours.Write a piecewise definition of the cost C(x)of renting a snowblower for x hours.Is C(x)continuous at x = 2.5?

Accepted Answer

The answer of The cost of renting a snowblower is...

Question 20

Use the four step process to find f'(x) for the function .

Accepted Answer

A)   5h-3 
B)   10x-3 
C)   10x +5h-3 
D)

Exam 11: Mathematical Functions and Limits

If an object moves along a line so that it is at y = f(x) = 10x² at time x (in seconds) , find the velocity at x =1 (y is measured in feet) .

Find the equation of the tangent line at x = 7 for f(x) = Write the answer in the form y = mx +b.