Stewart - Calculus 8e Chapter 1 Form A

Stewart - Calculus 8e Chapter 1 Form A         © 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. 

• Find the domain of the function.

• Determine whether f is even, odd, or neither.

• The graphs of and are given.

a) For what values of is ?

b) Find the values of and .

• It makes sense that the larger the area of a region, the larger the number of species that inhabit the

region. Many ecologists have modeled the species-area relation with a power function and, in particular, the number of species S of bats living in caves in central Mexico has been related to the surface area A measured in of the caves by the equation

(a) The cave called mission impossible near puebla, mexico, has suface area of .How many species of bats would expect to find in that cave?

(b) If you discover that species of bats live in cave estimate the area of the cave.(Calculus, 8e James Stewart) (Test Bank, For Complete file Download Link at the end of this File) 1 / 4

Stewart - Calculus 8e Chapter 1 Form A        © 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. 

• Express the function in the form of

.

• The position of a car is given by the values in the following table.

Estimate the instantaneous velocity when by averaging the velocities for the periods .

7.Consider the following function.

Determine the values of a for which exists.

• Find the limit.

• Evaluate the limit.

• Find the limit.

• / 4

Stewart - Calculus 8e Chapter 1 Form A        © 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. 

• Evaluate the limit.

12.Evaluate the limit.

13.Evaluate the limit.

• Find a number such that if , then , where .

• Find the point at which the given function is discontinuous.

• Write an equation that expresses the fact that a function f is continuous at the number .

• Find a function g that agrees with f for and is continuous on .

• Let and . Find .

• Find the limit .

• Find the numbers, if any, where the function is discontinuous. 3 / 4

Stewart - Calculus 8e Chapter 1 Form A        © 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.  Answer Key

1.

• even

• –2, 10

b) ,

• a)

species b)

5.

6.ft/s

7.

8.

9.

• 0

11.

12.

13.

14.

15.

• / 4