Use linear approximation, i.e. the tangent line, to approximate √49.4 as follows: Let f(x)=√x. Find the equation of the tangent line to f(x) at x = 49 L(x) = Using this, we find our approximation for √49.4 is NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact answer. > Next Question

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter55: Introduction To Circles
Section: Chapter Questions
Problem 29A: Solve the following exercises based on Principles 15-17, although an exercise may require the...
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Use linear approximation, i.e. the tangent line, to approximate √49.4 as follows:
Let f(x)=√x. Find the equation of the tangent line to f(x) at x = 49
L(x) =
Using this, we find our approximation for √49.4 is
NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact
answer.
> Next Question
Transcribed Image Text:Use linear approximation, i.e. the tangent line, to approximate √49.4 as follows: Let f(x)=√x. Find the equation of the tangent line to f(x) at x = 49 L(x) = Using this, we find our approximation for √49.4 is NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact answer. > Next Question
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