QUESTION 3 Let f(x) = ³1. (a) Find the average rate of change over [1,2]. (b) Find the average rate of change over [1,1.1] (c) Find the average rate of change over [1,1.01] (d) Find the ouorogo roto of hongo over or [1.1.0011
QUESTION 3 Let f(x) = ³1. (a) Find the average rate of change over [1,2]. (b) Find the average rate of change over [1,1.1] (c) Find the average rate of change over [1,1.01] (d) Find the ouorogo roto of hongo over or [1.1.0011
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![QUESTION 3
Let f(x) = x³ - 1.
(a) Find the average rate of change over [1,2].
(b) Find the average rate of change over [1,1.1]
(c) Find the average rate of change over [1,1.01]
(d) Find the average rate of change over [1,1.001]
(e) Estimate the instantaneous rate of change at x = 1.
(a) Average rate of change:
(b)Average rate of change:
(c) Average rate of change:
(d) Average rate of change:
(e) Instantaneous Rate of Change Estimate:
(round to 2 decimal places)
(round to 4 decimal places)
For Blank 3 to 6 decimal places)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F521857a4-a102-4ada-802d-017cae6e4cae%2F14de27ed-7741-4f2b-ba63-b9acbdfb1da7%2F0v7tq583_processed.png&w=3840&q=75)
Transcribed Image Text:QUESTION 3
Let f(x) = x³ - 1.
(a) Find the average rate of change over [1,2].
(b) Find the average rate of change over [1,1.1]
(c) Find the average rate of change over [1,1.01]
(d) Find the average rate of change over [1,1.001]
(e) Estimate the instantaneous rate of change at x = 1.
(a) Average rate of change:
(b)Average rate of change:
(c) Average rate of change:
(d) Average rate of change:
(e) Instantaneous Rate of Change Estimate:
(round to 2 decimal places)
(round to 4 decimal places)
For Blank 3 to 6 decimal places)
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