Question 1

Find f ' (x).
-

Accepted Answer

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

Question 2

Find the equation of the line tangent to the graph of f at the indicated value of x.
-

Accepted Answer

A)  y= 5x 
B)  y=5x+5 
C)  y= x+5 
D)  y=5x-5 
A)  y= 5x 
B)  y=5x+5 
C)  y= x+5 
D)  y=5x-5

Question 3

Solve the problem.
-How long will it take for the value of an account to be $890 if $350 is deposited at 11% interest compounded continuously? Round your answer to the nearest hundredth.

Accepted Answer

A) 8.48 yr 
B) 0.93 yr 
C) 9.33 yr 
D) 10.41 yr 
A) 8.48 yr 
B) 0.93 yr 
C) 9.33 yr 
D) 10.41 yr

Question 4

Find the equation of the line tangent to the graph of f at the indicated value of x.
-f(x) = 9 ln x; x = 1

Accepted Answer

A)  y = 9x + 9 
B)  y = 9x 
C)  y = 9x - 9 
D)   y = 9x - 1 
A)  y = 9x + 9 
B)  y = 9x 
C)  y = 9x - 9 
D)   y = 9x - 1

Question 5

Differentiate.
-Find f'(x) for f(x) = (2x - 4) (2x3 - x2 + 1).

Accepted Answer

A)  f'(x) = 16x3 - 10x2 + 30x + 2 
B)  f'(x) = 12x3 + 30x2 - 10x + 2 
C)  f'(x) = 16x3 - 30x2 + 8x + 2 
D)  f'(x) = 4x3 - 10x2 - 30x + 2 
A)  f'(x) = 16x3 - 10x2 + 30x + 2 
B)  f'(x) = 12x3 + 30x2 - 10x + 2 
C)  f'(x) = 16x3 - 30x2 + 8x + 2 
D)  f'(x) = 4x3 - 10x2 - 30x + 2

Question 6

Differentiate.
-Find f'(x) for f(x) = (5x3 + 4)(3x7 - 5).

Accepted Answer

A)  f'(x) = 150x9 + 84x6 - 75x2 
B)  f'(x) = 20x9 + 84x6 - 75x 
C)  f'(x) = 150x9 + 84x6 - 75x 
D)  f'(x) = 20x9 + 84x6 - 75x2 
A)  f'(x) = 150x9 + 84x6 - 75x2 
B)  f'(x) = 20x9 + 84x6 - 75x 
C)  f'(x) = 150x9 + 84x6 - 75x 
D)  f'(x) = 20x9 + 84x6 - 75x2

Question 7

Solve. 
-A mathematical model for the average of a group of people learning to type is given by   where N(t) is the number of words per minute typed after t hours of instruction and practice (2 hours per day, 5
days per week). What is the rate of learning after 50 hours of instruction and practice?

Accepted Answer

A)  0.5 words per minute typed per hour of instruction and practice 
B)   0.12 words per minute typed per hour of instruction and practice 
C)  0.1 words per minute typed per hour of instruction and practice 
D)  0.15 words per minute typed per hour of instruction and practice 
A)  0.5 words per minute typed per hour of instruction and practice 
B)   0.12 words per minute typed per hour of instruction and practice 
C)  0.1 words per minute typed per hour of instruction and practice 
D)  0.15 words per minute typed per hour of instruction and practice

Question 8

Find f ' (x).
- f(x) = 4 ln x + ln x7 + 2ex

Accepted Answer

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

Question 9

Find the equation of the line tangent to the graph of f at the indicated value of x.
-

Accepted Answer

A)  y = 2ex - 4e + 1 
B)   y = 2ex + 4e + 1 
C)  y = 2ex + 1 
D)  y = 4ex - 1 
A)  y = 2ex - 4e + 1 
B)   y = 2ex + 4e + 1 
C)  y = 2ex + 1 
D)  y = 4ex - 1

Question 10

Provide an appropriate response.
-Find x to two decimal places.

Accepted Answer

A)  8320.50 
B)  7975.01 
C)  7813.95 
D)  7831.95 
A)  8320.50 
B)  7975.01 
C)  7813.95 
D)  7831.95

Question 11

Solve the problem.
-If $5000 is invested at 5.25% compounded continuously,what is the amount in the account after 10 years?

Accepted Answer

A) $7420.65 
B) $7625.00 
C) $8452.29 
D) $8442.52 
A) $7420.65 
B) $7625.00 
C) $8452.29 
D) $8442.52

Question 12

Find f ' (x).
-

Accepted Answer

A)  -6xex-1 + 7 
B)  -6ex + 3 
C)  -6ex + 7x 
D)  -6ex + 7 
A)  -6xex-1 + 7 
B)  -6ex + 3 
C)  -6ex + 7x 
D)  -6ex + 7

Question 13

Solve.

-The salvage value S (in dollars) of a company airplane after t years is estimated to be given by    What is the rate of depreciation (in dollars per year) after 3 years?

Accepted Answer

A)  -$43,693/yr 
B)   -$30,585/yr 
C)  -$85,750/yr 
D)  -$94,206/yr 
A)  -$43,693/yr 
B)   -$30,585/yr 
C)  -$85,750/yr 
D)  -$94,206/yr

Question 14

Provide an appropriate response.
-Find

Accepted Answer

A)  1 
B)  5000 
C)  ∞ 
D)  0 
A)  1 
B)  5000 
C)  ∞ 
D)  0

Question 15

How long will it take for $8400 to grow to $14.600 at an interest rate of 9.4% if the interest is compounded continuously? Round the number of years to the nearest hundredth.

Accepted Answer

A) 5.88 yr 
B) 58.81 yr 
C) 0.59 yr 
D) 0.06 yr 
A) 5.88 yr 
B) 58.81 yr 
C) 0.59 yr 
D) 0.06 yr

Question 16

Find f ' (x).
-

Accepted Answer

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

Question 17

Find f ' (x).
-

Accepted Answer

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

Find f ' (x). -

Find the equation of the line tangent to the graph of f at the indicated value of x. -

Solve the problem. -How long will it take for the value of an account to be $890 if $350 is deposited at 11% interest compounded continuously? Round your answer to the nearest hundredth.

Find the equation of the line tangent to the graph of f at the indicated value of x. -f(x) = 9 ln x; x = 1

Differentiate. -Find f'(x) for f(x) = (2x - 4) (2x³ - x² + 1).

Differentiate. -Find f'(x) for f(x) = (5x³ + 4)(3x⁷ - 5).

Solve. -A mathematical model for the average of a group of people learning to type is given by where N(t) is the number of words per minute typed after t hours of instruction and practice (2 hours per day, 5 days per week). What is the rate of learning after 50 hours of instruction and practice?

Find f ' (x). - f(x) = 4 ln x + ln x⁷ + 2e^x

Find the equation of the line tangent to the graph of f at the indicated value of x. -

Provide an appropriate response. -Find x to two decimal places.

Solve the problem. -If $5000 is invested at 5.25% compounded continuously,what is the amount in the account after 10 years?

Find f ' (x). -

Solve. -The salvage value S (in dollars) of a company airplane after t years is estimated to be given by What is the rate of depreciation (in dollars per year) after 3 years?

Provide an appropriate response. -Find

How long will it take for $8400 to grow to $14.600 at an interest rate of 9.4% if the interest is compounded continuously? Round the number of years to the nearest hundredth.

Find f ' (x). -

Find f ' (x). -

Linear Equations and Graphs

Mathematics of Finance

Linear Inequalities and Linear Programming

Logic, sets, and Counting

Probability

Markov Chains

Mathematical Functions and Limits

Filters

Exam 10: Limits and the Derivative

Find f ' (x). -

Find the equation of the line tangent to the graph of f at the indicated value of x. -

Solve the problem. -How long will it take for the value of an account to be $890 if $350 is deposited at 11% interest compounded continuously? Round your answer to the nearest hundredth.

Find the equation of the line tangent to the graph of f at the indicated value of x. -f(x) = 9 ln x; x = 1

Differentiate. -Find f'(x) for f(x) = (2x - 4) (2x3 - x2 + 1).

Differentiate. -Find f'(x) for f(x) = (5x3 + 4)(3x7 - 5).

Solve. -A mathematical model for the average of a group of people learning to type is given by where N(t) is the number of words per minute typed after t hours of instruction and practice (2 hours per day, 5 days per week). What is the rate of learning after 50 hours of instruction and practice?

Find f ' (x). - f(x) = 4 ln x + ln x7 + 2ex

Find the equation of the line tangent to the graph of f at the indicated value of x. -

Provide an appropriate response. -Find x to two decimal places.

Solve the problem. -If $5000 is invested at 5.25% compounded continuously,what is the amount in the account after 10 years?

Find f ' (x). -

Solve. -The salvage value S (in dollars) of a company airplane after t years is estimated to be given by What is the rate of depreciation (in dollars per year) after 3 years?

Provide an appropriate response. -Find

How long will it take for $8400 to grow to $14.600 at an interest rate of 9.4% if the interest is compounded continuously? Round the number of years to the nearest hundredth.

Find f ' (x). -

Find f ' (x). -

Linear Equations and Graphs

Mathematics of Finance

Linear Inequalities and Linear Programming

Logic, sets, and Counting

Probability

Markov Chains

Mathematical Functions and Limits

Filters

Differentiate. -Find f'(x) for f(x) = (2x - 4) (2x³ - x² + 1).

Differentiate. -Find f'(x) for f(x) = (5x³ + 4)(3x⁷ - 5).

Find f ' (x). - f(x) = 4 ln x + ln x⁷ + 2e^x