4. Find the average rate of change (slope) of the function 2 from x = 1 to x = 3: f(x) <= x 3x - X 1 2 b. 0 a. -3 3 - c. 3 d. 5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
4. Find the average rate of change (slope) of the function
from x = 1 to x
3x
1
a. -3
=
2
b. 0
3: f(x) = x
3
-
c. 3
2
- X
d. 5
Transcribed Image Text:4. Find the average rate of change (slope) of the function from x = 1 to x 3x 1 a. -3 = 2 b. 0 3: f(x) = x 3 - c. 3 2 - X d. 5
Expert Solution
Step 1: Average Rate:

The space Average space rate space of space the space function space straight f left parenthesis straight x right parenthesis space from space straight x equals straight a space to space straight x equals straight b space is space
space space space space space space space space space space space space space space space space space space space space space space fraction numerator straight f left parenthesis straight b right parenthesis minus straight f left parenthesis straight a right parenthesis over denominator straight b minus straight a end fraction.

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