Single Variable Calculus 8th Edition By James Stewart – Test Bank

Stewart – Calculus 8e Chapter 1 Form A

1. Find the domain of the function.
2. Determine whether f is even, odd, or neither.
3. The graphs of and are given.

a) For what values of is b) Find the values of

? and .

4. 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.

Stewart – Calculus 8e Chapter 1 Form A

5. Express the function in the form of .
6. The position of a car is given by the values in the following table.

Estimate the instantaneous velocity when .

7. Consider the following function.

   Determine the values of a for which

8. Find the limit.
9. Evaluate the limit.
10. Find the limit.

by averaging the velocities for the periods

exists.

Stewart – Calculus 8e Chapter 1 Form A

11. Evaluate the limit.
12. Evaluate the limit.
13. Evaluate the limit.
14. Find a number such that if , then , where .
15. Find the point at which the given function is discontinuous.
16. Write an equation that expresses the fact that a function f is continuous at the number .

17. Find a function g that agrees with f for

and is continuous on .

. Find .

is discontinuous.

18. Let and
19. Find the limit

.
20. Find the numbers, if any, where the function

Stewart – Calculus 8e Chapter 1 Form A

Answer Key

1.

2. even
3. a) –2, 10
   b) ,
4. a) species b)

5.

6. ft/s 7.

8.

9. 10. 0 11.

12. 13. 14. 15.