Question 1

Solve the problem.
-The surface area of a balloon is given by  where r is the radius of the balloon. If the radius isincreasing with time t, as the balloon is being blown up, according to the formula  find thesurface area S as a function of the time t.

Accepted Answer

A)   
B)   
C)   
D)

Question 2

Solve the problem.
-An oil well off the Gulf Coast is leaking, with the leak spreading oil over the surface of the gulf as a circle.At any time t, in minutes, after the beginning of the leak, the radius of the oil slick on the surface isr(t)= 4t ft. Find the area A of the oil slick as a function of time.

Accepted Answer

A)   
B)   
C)   
D)

Question 3

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 4

Write the word or phrase that best completes each statement or answers the question.
-The price p of a certain product and the quantity sold x obey the demand equation  300. Suppose that the cost C of producing x units is  Assuming that all items produced aresold, find the cost C as a function of the price p.

Accepted Answer

The answer of Write the word or phrase that best...

Question 5

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 6

Find the exact value of the logarithmic expression.
-

Accepted Answer

A) 1 
B) 0 
C) e 
D) -1

Question 7

Solve the equation.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 8

The function f is one-to-one. Find its inverse.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 9

Find a formula for the inverse of the function described below.
-A size 6 dress in Country C is size 52 in Country D. A function that converts dress sizes in Country C tothose in Country D is f(x)= 2(x + 20).

Accepted Answer

A)   
B)   
C)   
D)

Question 10

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 11

Evaluate the expression using the values given in the table.
-

Accepted Answer

A) -7 
B) 4 
C) -2 
D) 11

Question 12

The function f is one-to-one. Find its inverse.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 13

Solve the problem.
-The number of men dying of AIDS (in thousands)since 1987 is modeled by  where xrepresents the number of years after 1987. Use this model to predict the number of AIDS deaths amongmen in 1994. Express answer rounded to the nearest hundred men.

Accepted Answer

A) 36,900 men 
B) 37,000 men 
C) 25,800 men 
D) 26,000 men

Question 14

Indicate whether the function is one-to-one.
-{(6, -4), (9, -3), (7, -2), (5, -1)}

Accepted Answer

A) Yes 
B) No

Question 15

Use a calculator to evaluate the expression. Round your answer to three decimal places
-

Accepted Answer

A) 1.702 
B) 0.605 
C) 0.973 
D) -2.435

Question 16

Find the domain of the composite function f ∘ g.
-

Accepted Answer

A)   
B) all real numbers 
C)   
D)

Question 17

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 18

Solve the problem.
-The pH of a chemical solution is given by the formula  where  is the concentration of hydrogen ions in moles per liter.Find the pH if the

Accepted Answer

A) 11.01 
B) 12.99 
C) 12.01 
D) 11.99

Question 19

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 20

Approximate the value using a calculator. Express answer rounded to three decimal places.
-

Accepted Answer

A) 0.091 
B) -6.524 
C) -0.091 
D) 0.391

Exam 6: Exponential and Logarithmic Functions

Solve the problem. -The surface area of a balloon is given by where r is the radius of the balloon. If the radius isincreasing with time t, as the balloon is being blown up, according to the formula find thesurface area S as a function of the time t.

Graph the function. -

Graph the function. -

Find the exact value of the logarithmic expression. -

Solve the equation. -

The function f is one-to-one. Find its inverse. -

Find a formula for the inverse of the function described below. -A size 6 dress in Country C is size 52 in Country D. A function that converts dress sizes in Country C tothose in Country D is f(x) = 2(x + 20) .

Graph the function. -

Evaluate the expression using the values given in the table. -

The function f is one-to-one. Find its inverse. -

Solve the problem. -The number of men dying of AIDS (in thousands) since 1987 is modeled by where xrepresents the number of years after 1987. Use this model to predict the number of AIDS deaths amongmen in 1994. Express answer rounded to the nearest hundred men.

Indicate whether the function is one-to-one. -{(6, -4) , (9, -3) , (7, -2) , (5, -1) }

Use a calculator to evaluate the expression. Round your answer to three decimal places -

Find the domain of the composite function f ∘ g. -

Graph the function. -

Solve the problem. -The pH of a chemical solution is given by the formula where is the concentration of hydrogen ions in moles per liter.Find the pH if the

Graph the function. -

Approximate the value using a calculator. Express answer rounded to three decimal places. -