Use linear approximation, i.e. the tangent line, to approximate 2.86° as follows: Let f(x) = x³. The equation of the tangent line to f(x) at x = 3 can be written in the form y = mx + b where: m = and b = Using this, we find our approximation for 2.863 is

Principles of Instrumental Analysis
7th Edition
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Chapter34: Particle Size Determination
Section: Chapter Questions
Problem 34.1QAP
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Use linear approximation, i.e. the tangent line, to approximate 2.86³ as follows:
Let f(x) = x³. The equation of the tangent line to f(x) at a = 3 can be written in the form y = mx +b where:
m =
and
b =
Using this, we find our approximation for 2.86³ is
Transcribed Image Text:Use linear approximation, i.e. the tangent line, to approximate 2.86³ as follows: Let f(x) = x³. The equation of the tangent line to f(x) at a = 3 can be written in the form y = mx +b where: m = and b = Using this, we find our approximation for 2.86³ is
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