## Product Description

## 7Th_Ed Test Bank Single Variable Calculus – Stewart

7Th_Ed Test Bank Single Variable Calculus – Stewart

**Sample**

Chapter 1_Form H

MULTIPLE CHOICE

1. The point P(4, 2) lies on the curve . If Q is the point , use your calculator to find the slope of the secant line PQ (correct to six decimal places) for the value of .

Select the correct answer.

a.

b.

c.

d.

e.

ANS: B PTS: 1 DIF: Medium MSC: Multiple Choice

NOT: Section 1.4

2. If , then if exists, to what value does it converge?

Select the correct answer.

a. 5

b. 8.5

c. 8

d. 11.5

e. 7.5

ANS: E PTS: 1 DIF: Medium MSC: Multiple Choice

NOT: Section 1.6

3. A box with an open top is to be constructed from a rectangular piece of card board with dimensions in. by in. by cutting out equal squares of side x at each corner and then folding up the sides as in the figure.

Express the volume V of the box as a function of x.

Select the correct answer.

a.

b.

c.

d.

e.

ANS: B PTS: 1 DIF: Medium MSC: Multiple Choice

NOT: Section 1.1

4. In the function , what must be the value d, if ?

Select the correct answer.

a.

b.

c.

d.

e.

ANS: A PTS: 1 DIF: Medium MSC: Multiple Choice

NOT: Section 1.1

5. Use continuity to evaluate the limit.

Select the correct answer.

a.

b.

c. 1

d. 0

e.

ANS: D PTS: 1 DIF: Medium MSC: Multiple Choice

NOT: Section 1.8

6. Find the value of .

.

Select the correct answer.

a.

b.

c. 0.3

d. 0

e. 0.8

ANS: D PTS: 1 DIF: Medium MSC: Multiple Choice

NOT: Section 1.5

NUMERIC RESPONSE

1. The position of a car is given by the values in the following table. Estimate the instantaneous velocity when by averaging the average velocities for the periods [1, 2] and [2, 3].

__________

ANS: 29.5 ft/s

PTS: 1 DIF: Medium MSC: Numerical Response

NOT: Section 1.4

2. The graphs of and are given.

a) For what values of is ?

b) Find the values of and .

__________

ANS:

a)

b) ,

PTS: 1 DIF: Medium MSC: Numerical Response

NOT: Section 1.1

3. If f and g are continuous functions with and , find .

__________

ANS: 4

PTS: 1 DIF: Medium MSC: Numerical Response

NOT: Section 1.8

4. Estimate the given limit by graphing the function . State your answer correct to two decimal places.

__________

ANS: 0.95

PTS: 1 DIF: Medium MSC: Numerical Response

NOT: Section 1.5

5. Find the domain of the function.

__________

ANS:

PTS: 1 DIF: Medium MSC: Numerical Response

NOT: Section 1.1

6. Evaluate the limit.

__________

ANS:

PTS: 1 DIF: Medium MSC: Numerical Response

NOT: Section 1.5

7. How close to 2 do we have to take x so that is within a distance of 0.075 from 13?

__________

ANS:

PTS: 1 DIF: Medium MSC: Numerical Response

NOT: Section 1.5

8. Find the slope of the tangent line to the parabola at the point .

__________

ANS: 24

PTS: 1 DIF: Medium MSC: Numerical Response

NOT: Section 1.4

9. How would you define f (1) in order to make f continuous at 1?

__________

ANS:

PTS: 1 DIF: Medium MSC: Numerical Response

NOT: Section 1.8

10. Use a graph to find a number such that whenever .

Round down the answer to the nearest hundredth.

__________

ANS:

PTS: 1 DIF: Medium MSC: Numerical Response

NOT: Section 1.7

11. Evaluate the limit, if it exists.

__________

ANS:

PTS: 1 DIF: Medium MSC: Numerical Response

NOT: Section 1.6

12. Write an equation that expresses the fact that a function is continuous at the number 3.

__________

ANS:

PTS: 1 DIF: Medium MSC: Numerical Response

NOT: Section 1.8

13. A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 40 cm/s. Express the radius r of this circle as a function of the time t (in seconds) and find , if A is the area of this circle as a function of the radius.

__________

ANS:

PTS: 1 DIF: Medium MSC: Numerical Response

NOT: Section 1.3

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

__________

ANS:

PTS: 1 DIF: Medium MSC: Numerical Response

NOT: Section 1.8

7Th_Ed Test Bank Single Variable Calculus – Stewart

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