Question 9 < > Use linear approximation, i.e. the tangent line, to approximate 36.3 as follows: Let f(x)=√x. Find the equation of the tangent line to f (x) at x = 36 L (x) = Using this, we find our approximation for √36.3 is NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact answer.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 9
< >
Use linear approximation, i.e. the tangent line, to approximate 36.3 as follows:
Let f(x)=√x. Find the equation of the tangent line to f (x) at x = 36
L (x) =
Using this, we find our approximation for √36.3 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:Question 9 < > Use linear approximation, i.e. the tangent line, to approximate 36.3 as follows: Let f(x)=√x. Find the equation of the tangent line to f (x) at x = 36 L (x) = Using this, we find our approximation for √36.3 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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