Use linear approximation, i.e. the tangent line, to approximate √81.1 as follows: Let f(x)=√x. Find the equation of the tangent line to f(x) at x = 81 L(x) = Using this, we find our approximation for √81.1 is NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact answer.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 45E
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4.2 2

Use linear approximation, i.e. the tangent line, to approximate √81.1 as follows:
√x. Find the equation of the tangent line to f(x) at x = 81
Let f(x):
L(x) =
=
Using this, we find our approximation for √81.1 is
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 √81.1 as follows: √x. Find the equation of the tangent line to f(x) at x = 81 Let f(x): L(x) = = Using this, we find our approximation for √81.1 is 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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