Question 1

Find the limit.

Accepted Answer

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

Question 2

By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box can be made.If the cardboard is 17 in.long and 7 in.wide and the square cutaways have dimensions of x in.by x in., find a function giving the volume of the resulting box.

Accepted Answer

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

Question 3

For the pair of supply and demand equations, where x represents the quantity demanded in thousands of units and p the unit price in dollars, find the equilibrium quantity and the equilibrium price.   and

Accepted Answer

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

Question 4

Assume that the demand function for a certain commodity has the form   where x is the quantity demanded, measured in units of a thousand, and p is the unit price in dollars.Suppose the quantity demanded is 2,000 (x = 2) when the unit price is $9.00 and 9,000 (x = 9) when the unit price is $2.00.Determine the demand equation.

Accepted Answer

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

Question 5

The management of Titan Tire Company has determined that the weekly demand and supply functions for their Super Titan tires are given by   respectively, where p is measured in dollars and x is measured in thousands of units.Find the equilibrium quantity and price.   __________ units   $ __________

Accepted Answer

The answer of The management of Titan Tire Company has...

Question 6

Determine all values of x at which the function is discontinuous.     __________

Accepted Answer

The answer of Determine all values of x at which...

Question 7

The base salary of a salesman working on commission is $13,000.For each $50,000 of sales beyond $100,000 he is paid a $1,000 commission.Select a graph showing his earnings as a function of the level of his sales x.       Select the correct graph.Answer A, B, or 
C.__________
Determine the values of x for which the function f is discontinuous.Give the least three values of x.   __________

Accepted Answer

The answer of The base salary of a salesman working...

Question 8

Find the limit.

Accepted Answer

The answer of Find the limit.  ...

Question 9

Find the indicated one-sided limit.

Accepted Answer

The answer of Find the indicated one-sided limit.  ...

Question 10

Find the one-sided limit, if it exists.

Accepted Answer

A)    
B)    
C)    
D)    
E) The limit does not exist 
A)    
B)    
C)    
D)    
E) The limit does not exist

Question 11

Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.

Accepted Answer

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

Question 12

The gross domestic product (GDP) of a certain country is projected to be   billion dollars t yr from now.What will be the rate of change of the country's GDP 5 yr from now?

Accepted Answer

A) $15 billion/yr 
B) $13 billion/yr 
C) $7 billion/yr 
D) $12 billion/yr 
A) $15 billion/yr 
B) $13 billion/yr 
C) $7 billion/yr 
D) $12 billion/yr

Question 13

Let     and   .Find the rule for the function

Accepted Answer

The answer of Let     and ...

Question 14

Select the correct graph of the function f and evaluate   if it exists.           Select the correct graph of the function.Answer A, B, C or D.__________
Evaluate the limit.If the limit does not exist, answer no solution.__________

Accepted Answer

The answer of Select the correct graph of the function...

Question 15

Find the limit.

Accepted Answer

The answer of Find the limit.  ...

Question 16

Entomologists have discovered that a linear relationship exists between the number of chirps of crickets of a certain species and the air temperature.When the temperature is   the crickets chirp at the rate of 120 times/minute, and when the temperature is   they chirp at the rate of 160 times/minute.Find an equation giving the relationship between the air temperature T and the number of chirps/minute N of the crickets.

Accepted Answer

The answer of Entomologists have discovered that a linear relationship...

Question 17

Find and simplify   for the function.

Accepted Answer

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

Question 18

In a certain state, the sales tax T on the amount of taxable goods is 12% of the value of the goods purchased (x), where both T and x are measured in dollars.Express T as a function of x.

Accepted Answer

The answer of In a certain state, the sales tax...

Question 19

Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. f(x) = 7

Accepted Answer

A) 0 
B) -7x 
C) 7x 
D) 7 
A) 0 
B) -7x 
C) 7x 
D) 7

Question 20

Find the one-sided limit, if it exists.

Accepted Answer

A)    
B)    
C)    
D)    
E) The limit does not exist 
A)    
B)    
C)    
D)    
E) The limit does not exist

Find the limit.

For the pair of supply and demand equations, where x represents the quantity demanded in thousands of units and p the unit price in dollars, find the equilibrium quantity and the equilibrium price. and

The management of Titan Tire Company has determined that the weekly demand and supply functions for their Super Titan tires are given by respectively, where p is measured in dollars and x is measured in thousands of units.Find the equilibrium quantity and price. units $

Determine all values of x at which the function is discontinuous. __________

Find the limit.

Find the indicated one-sided limit.

Find the one-sided limit, if it exists.

Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.

The gross domestic product (GDP) of a certain country is projected to be billion dollars t yr from now.What will be the rate of change of the country's GDP 5 yr from now?

Let and .Find the rule for the function

Select the correct graph of the function f and evaluate if it exists. Select the correct graph of the function.Answer A, B, C or D. Evaluate the limit.If the limit does not exist, answer no solution.

Find the limit.

Find and simplify for the function.

In a certain state, the sales tax T on the amount of taxable goods is 12% of the value of the goods purchased (x), where both T and x are measured in dollars.Express T as a function of x.

Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. f(x) = 7

Find the one-sided limit, if it exists.

Preliminaries

Differentiation

Applications of the Derivative

Exponential and Logarithmic Functions

Integration

Additional Topics in Integration

Calculus of Several Variables

Filters

Exam 2: Functions, Limits and the Derivative

Find the limit.

For the pair of supply and demand equations, where x represents the quantity demanded in thousands of units and p the unit price in dollars, find the equilibrium quantity and the equilibrium price. and

The management of Titan Tire Company has determined that the weekly demand and supply functions for their Super Titan tires are given by respectively, where p is measured in dollars and x is measured in thousands of units.Find the equilibrium quantity and price. __________ units $ __________

Determine all values of x at which the function is discontinuous. __________

Find the limit.

Find the indicated one-sided limit.

Find the one-sided limit, if it exists.

Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.

The gross domestic product (GDP) of a certain country is projected to be billion dollars t yr from now.What will be the rate of change of the country's GDP 5 yr from now?

Let and .Find the rule for the function

Select the correct graph of the function f and evaluate if it exists. Select the correct graph of the function.Answer A, B, C or D.__________ Evaluate the limit.If the limit does not exist, answer no solution.__________

Find the limit.

Find and simplify for the function.

In a certain state, the sales tax T on the amount of taxable goods is 12% of the value of the goods purchased (x), where both T and x are measured in dollars.Express T as a function of x.

Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. f(x) = 7

Find the one-sided limit, if it exists.

Preliminaries

Differentiation

Applications of the Derivative

Exponential and Logarithmic Functions

Integration

Additional Topics in Integration

Calculus of Several Variables

Filters

The management of Titan Tire Company has determined that the weekly demand and supply functions for their Super Titan tires are given by respectively, where p is measured in dollars and x is measured in thousands of units.Find the equilibrium quantity and price. units $

Select the correct graph of the function f and evaluate if it exists. Select the correct graph of the function.Answer A, B, C or D. Evaluate the limit.If the limit does not exist, answer no solution.