Question 1

Use properties of limits and algebraic methods to find the limit, if it exists.

Accepted Answer

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

Question 2

Find the period of the following function. Round to two decimal places.

Accepted Answer

A)  1.00 
B)  6.28 
C)  4.00 
D)  1.57 
E)  8.00 
A)  1.00 
B)  6.28 
C)  4.00 
D)  1.57 
E)  8.00

Question 3

Find the amplitude of the following function. Round to two decimal places.

Accepted Answer

A)  5.00 
B)  2.00 
C)  1.26 
D)  3.14 
E)  4.00 
A)  5.00 
B)  2.00 
C)  1.26 
D)  3.14 
E)  4.00

Question 4

In 1996, the population of a country was estimated at 4 million. For any subsequent year the population   in millions is   where t is the number of years since 1996. Use a graphing calculator to estimate the population in 2005.

Accepted Answer

A)  4,743,000 
B)  4,699,000 
C)  4,655,000 
D)  4,833,000 
A)  4,743,000 
B)  4,699,000 
C)  4,655,000 
D)  4,833,000

Question 5

Write a linear model for the given rate of change and initial output value. The cost to produce plastic toys increases by 10 cents per toy produced. The fixed cost is 90 dollars.

Accepted Answer

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

Question 6

Find the equation of the quadratic function that is the best fit for the given data.

Accepted Answer

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

Question 7

Write the product of the two functions. Evaluate the constructed function at 2.

Accepted Answer

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

Question 8

The table below gives the normal daily mean temperatures, based on a 30-year period 1961 through 1990, for a certain city. Use the data to estimate the period.

Accepted Answer

A)  11 months 
B)  2 months 
C)  4 months 
D)  12 months 
E)  360 months 
A)  11 months 
B)  2 months 
C)  4 months 
D)  12 months 
E)  360 months

Question 9

Numerically estimate the limits. Show the numerical estimation table.   start   , increment   estimate to the nearest integer.

Accepted Answer

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

Question 10

Some populations of animals exhibit periodic behavior over time. During the 1960s and 1970s, two scientists carefully studied the population of the Carabid beetle in a region of the Netherlands. Assume that the table below shows the results from their study. Without the aid of technology, choose the sine model which is the most reasonable fit to data, where x is the number of years since 1964.

Accepted Answer

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

Use properties of limits and algebraic methods to find the limit, if it exists.

Find the period of the following function. Round to two decimal places.

Find the amplitude of the following function. Round to two decimal places.

In 1996, the population of a country was estimated at 4 million. For any subsequent year the population in millions is where t is the number of years since 1996. Use a graphing calculator to estimate the population in 2005.

Write a linear model for the given rate of change and initial output value. The cost to produce plastic toys increases by 10 cents per toy produced. The fixed cost is 90 dollars.

Find the equation of the quadratic function that is the best fit for the given data.

Write the product of the two functions. Evaluate the constructed function at 2.

The table below gives the normal daily mean temperatures, based on a 30-year period 1961 through 1990, for a certain city. Use the data to estimate the period.

Numerically estimate the limits. Show the numerical estimation table. start , increment estimate to the nearest integer.

Describing Change: Rates

Determining Change: Derivatives

Analyzing Change: Applications of Derivatives

Accumulating Change: Limits of Sums and the Definite Integral

Analyzing Accumulated Change: Integrals in Action

Ingredients of Multivariable Change: Models, Graphs, Rates

Analyzing Multivariable Change: Optimization

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Exam 1: Ingredients of Change: Functions an Limits

Use properties of limits and algebraic methods to find the limit, if it exists.

Find the period of the following function. Round to two decimal places.

Find the amplitude of the following function. Round to two decimal places.

In 1996, the population of a country was estimated at 4 million. For any subsequent year the population in millions is where t is the number of years since 1996. Use a graphing calculator to estimate the population in 2005.

Write a linear model for the given rate of change and initial output value. The cost to produce plastic toys increases by 10 cents per toy produced. The fixed cost is 90 dollars.

Find the equation of the quadratic function that is the best fit for the given data.

Write the product of the two functions. Evaluate the constructed function at 2.

The table below gives the normal daily mean temperatures, based on a 30-year period 1961 through 1990, for a certain city. Use the data to estimate the period.

Numerically estimate the limits. Show the numerical estimation table. start , increment estimate to the nearest integer.

Describing Change: Rates

Determining Change: Derivatives

Analyzing Change: Applications of Derivatives

Accumulating Change: Limits of Sums and the Definite Integral

Analyzing Accumulated Change: Integrals in Action

Ingredients of Multivariable Change: Models, Graphs, Rates

Analyzing Multivariable Change: Optimization

Filters