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.
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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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a61fcb0-5fd6-469a-b0e0-fcaa05b52726%2F4b368996-e7eb-42f2-831f-23e995802d7f%2Fr79mr9_processed.png&w=3840&q=75)
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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