Question 1

Find the derivative of the function.

Accepted Answer

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

Question 2

A women's clothing chain store, found that t days after the end of a sales promotion the volume of sales was given by   dollars.Find to the nearest dollar the rate of change of sales volume when t = 1.
$__________

Accepted Answer

The answer of A women's clothing chain store, found that...

Question 3

Find the second derivative of the function.

Accepted Answer

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

Question 4

The height (in feet) of a certain kind of tree is approximated by   where t is the age of the tree in years.Estimate the age of an 75-ft tree.Please round the answer to two decimal places.

Accepted Answer

A)    yr 
B)    yr 
C)    yr 
D)    yr 
E)    yr 
A)    yr 
B)    yr 
C)    yr 
D)    yr 
E)    yr

Question 5

The concentration of a drug in grams/cubic centimeter (g/cm3) t minutes after it has been injected into the bloodstream is given by   where u, l, and k are positive constants, with l > u. At what time is the concentration of the drug the greatest? What will be the concentration of the drug in the long run?

Accepted Answer

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

Question 6

At an annual inflation rate of 8.5%, how long will it take the Consumer Price Index (CPI) to double? Round your answer to the nearest hundredth.
__________ year(s)

Accepted Answer

The answer of At an annual inflation rate of 8.5%,...

Question 7

The height (in feet) of a certain kind of tree is approximated by   where   is the age of the tree in years.Estimate the age of an 70-ft tree.Round your answer to the nearest hundredth.

Accepted Answer

A) 16.69 years 
B) 19.70 years 
C) 16.10 years 
D) 17.53 years 
A) 16.69 years 
B) 19.70 years 
C) 16.10 years 
D) 17.53 years

Question 8

Find the present value of $70,000 due in 4 year(s) at the given rate of interest.Round your answers to the nearest dollar.
6% / year compounded monthly
$__________
9% / year compounded daily
$__________

Accepted Answer

The answer of Find the present value of $70,000 due...

Question 9

A women's clothing chain store, found that t days after the end of a sales promotion the volume of sales was given by   dollars.Find to the nearest integer the rate of change of sales volume when t = 4.

Accepted Answer

A) The rate of change of sales volume is - $3,028 per day. 
B) The rate of change of sales volume is - $1,202 per day. 
C) The rate of change of sales volume is - $1,211 per day. 
D) The rate of change of sales volume is - $2 per day. 
A) The rate of change of sales volume is - $3,028 per day. 
B) The rate of change of sales volume is - $1,202 per day. 
C) The rate of change of sales volume is - $1,211 per day. 
D) The rate of change of sales volume is - $2 per day.

Question 10

At an annual inflation rate of 5.5%, how long will it take the Consumer Price Index (CPI) to double?

Accepted Answer

A) 12.63 year(s) 
B) 12.95 year(s) 
C) 12.78 year(s) 
D) 12.69 year(s) 
A) 12.63 year(s) 
B) 12.95 year(s) 
C) 12.78 year(s) 
D) 12.69 year(s)

Question 11

Simplify the expression.

Accepted Answer

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

Question 12

Find the accumulated amount after 4 year(s) if $3,000 is invested at 8% compounded continuously.Round your answer to the nearest cent.
$__________

Accepted Answer

The answer of Find the accumulated amount after 4 year(s)...

Question 13

Find the derivative of the function.

Accepted Answer

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

Question 14

Find the second derivative of the function.

Accepted Answer

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

Question 15

The American Court Reporting Institute finds that the average student taking Advanced Machine Shorthand, an intensive 20-week course, progresses according to the function   ,   , where Q(t) measures the number of words (per minute) of dictation that the student can take in machine shorthand after t weeks in the course.Sketch the graph of the function Q and answer the following questions: 
a.What is the beginning shorthand speed for the average student in this course?
b. What shorthand speed does the average student attain halfway through the course?
c. How many words per minute can the average student take after completing this course?

Accepted Answer

A)    
a.75 words/min b.126 words/min c.157 words/min 
B)    
a.65 words/min b.116 words/min c.147 words/min 
C)    
a.55 words/min b.106 words/min c.137 words/min 
A)    
a.75 words/min b.126 words/min c.157 words/min 
B)    
a.65 words/min b.116 words/min c.147 words/min 
C)    
a.55 words/min b.106 words/min c.137 words/min

Question 16

The concentration of a drug in an organ at any time   (in seconds) is given by   where   is measured in grams/cubic centimeter   Round your answer to the nearest hundredth.
How long would it take for the concentration of the drug in the organ to reach 0.15   __________ seconds
How long would it take for the concentration of the drug in the organ to reach 0.12   __________ seconds

Accepted Answer

The answer of The concentration of a drug in an...

Question 17

Find the derivative of the function.

Accepted Answer

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

Question 18

Use the facts that log 5 = 0.6990 and log 7 = 0.8451 to find the value of the logarithm. log 35

Accepted Answer

A) 1.5441 
B) 1.9762 
C) 1.2299 
D) 1.4207 
A) 1.5441 
B) 1.9762 
C) 1.2299 
D) 1.4207

Question 19

Find the derivative of the function.

Accepted Answer

The answer of Find the derivative of the function. ...

Question 20

Online retail sales stood at $23.5 billion for 2000.For the next 2 years, they grew by 33% and 27.6% per year, respectively.For the next 6 years, online retail sales are projected to grow at 30.2%, 19.8%, 24.9%, 13.8%, 17.4%, and 10.4% per year, respectively.What are the projected online sales for 2008?

Accepted Answer

A)    billion 
B)    billion 
C)    billion 
D)    billion 
E)    billion 
A)    billion 
B)    billion 
C)    billion 
D)    billion 
E)    billion

Find the derivative of the function.

A women's clothing chain store, found that t days after the end of a sales promotion the volume of sales was given by dollars.Find to the nearest dollar the rate of change of sales volume when t = 1. $__________

Find the second derivative of the function.

The height (in feet) of a certain kind of tree is approximated by where t is the age of the tree in years.Estimate the age of an 75-ft tree.Please round the answer to two decimal places.

At an annual inflation rate of 8.5%, how long will it take the Consumer Price Index (CPI) to double? Round your answer to the nearest hundredth. __________ year(s)

The height (in feet) of a certain kind of tree is approximated by where is the age of the tree in years.Estimate the age of an 70-ft tree.Round your answer to the nearest hundredth.

Find the present value of $70,000 due in 4 year(s) at the given rate of interest.Round your answers to the nearest dollar. 6% / year compounded monthly $ 9% / year compounded daily $

A women's clothing chain store, found that t days after the end of a sales promotion the volume of sales was given by dollars.Find to the nearest integer the rate of change of sales volume when t = 4.

At an annual inflation rate of 5.5%, how long will it take the Consumer Price Index (CPI) to double?

Simplify the expression.

Find the accumulated amount after 4 year(s) if $3,000 is invested at 8% compounded continuously.Round your answer to the nearest cent. $__________

Find the derivative of the function.

Find the second derivative of the function.

Find the derivative of the function.

Use the facts that log 5 = 0.6990 and log 7 = 0.8451 to find the value of the logarithm. log 35

Find the derivative of the function.

Preliminaries

Functions, Limits and the Derivative

Differentiation

Applications of the Derivative

Integration

Additional Topics in Integration

Calculus of Several Variables

Filters

Exam 5: Exponential and Logarithmic Functions

Find the derivative of the function.

A women's clothing chain store, found that t days after the end of a sales promotion the volume of sales was given by dollars.Find to the nearest dollar the rate of change of sales volume when t = 1. $__________

Find the second derivative of the function.

The height (in feet) of a certain kind of tree is approximated by where t is the age of the tree in years.Estimate the age of an 75-ft tree.Please round the answer to two decimal places.

At an annual inflation rate of 8.5%, how long will it take the Consumer Price Index (CPI) to double? Round your answer to the nearest hundredth. __________ year(s)

The height (in feet) of a certain kind of tree is approximated by where is the age of the tree in years.Estimate the age of an 70-ft tree.Round your answer to the nearest hundredth.

Find the present value of $70,000 due in 4 year(s) at the given rate of interest.Round your answers to the nearest dollar. 6% / year compounded monthly $__________ 9% / year compounded daily $__________

A women's clothing chain store, found that t days after the end of a sales promotion the volume of sales was given by dollars.Find to the nearest integer the rate of change of sales volume when t = 4.

At an annual inflation rate of 5.5%, how long will it take the Consumer Price Index (CPI) to double?

Simplify the expression.

Find the accumulated amount after 4 year(s) if $3,000 is invested at 8% compounded continuously.Round your answer to the nearest cent. $__________

Find the derivative of the function.

Find the second derivative of the function.

Find the derivative of the function.

Use the facts that log 5 = 0.6990 and log 7 = 0.8451 to find the value of the logarithm. log 35

Find the derivative of the function.

Preliminaries

Functions, Limits and the Derivative

Differentiation

Applications of the Derivative

Integration

Additional Topics in Integration

Calculus of Several Variables

Filters

Find the present value of $70,000 due in 4 year(s) at the given rate of interest.Round your answers to the nearest dollar. 6% / year compounded monthly $ 9% / year compounded daily $