Use linear approximation, i.e. the tangent line, to approximate √16.4 as follows: √. Find the equation of the tangent line to f(x) at x = 16 Let f(x) = 1x L(x) = +2 8 Using this, we find our approximation for √16.4 is 2.506211418 X NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact answer.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Use linear approximation, i.e. the tangent line, to approximate √16.4 as follows:
Let f(x)=√x. Find the equation of the tangent line to f(x) at x = 16
1x
L(x) = +2
8
Using this, we find our approximation for √16.4 is
2.506211418
X
NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact
answer.
Transcribed Image Text:Use linear approximation, i.e. the tangent line, to approximate √16.4 as follows: Let f(x)=√x. Find the equation of the tangent line to f(x) at x = 16 1x L(x) = +2 8 Using this, we find our approximation for √16.4 is 2.506211418 X NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact answer.
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