Name:    03-05 - Linear Approximations

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1.

Use the linear approximation (i.e. tangent line) of the function at    to approximate the number .
 a. 2.99 d. 3.03 b. e. 3.04 c. 3.02

2.

Let f  be the function given by .  What approximation would be given for using the line tangent to the graph of f  at ?
 a. d. b. e. c. f.

3.

The function f  is twice differentiable with .  What is the value of the approximation of using the tangent of f  at x = a?
 a. d. b. e. c. f. Not Enough Information Provided

4.

Using differentials:
Given the equation

What would be the approximation of  using differentials?
(let x = 4 and )

 a. d. b. e. c. f. Not enough information

5.

Given the function  and the following information:

 • •  dx = 0.2 •

Using differentials, what would be the best approximation of ?
 a. d. b. e. c. f.

6.

Given the function  and the following information:

Using differentials, what would be the best approximation of  ?
 a. d. b. e. c. f.