3340 (a) Find the local linear approximationL to the specifiedfunction f at the

Chapter 13, Problem 33

(choose chapter or problem)

(a) Find the local linear approximation $L$ to the specified function $f$ at the designated point $P$.

(b) Compare the error in approximating $f$ by $L$ at the specified point $Q$ with the distance between $P$ and $Q$.

$f(x, y)=\frac{1}{\sqrt{x^{2}+y 2}} ; P(4,3), Q(3.92,3.01)$

Equation Transcription:

$L$

$f$

$P$

$Q$

$f(x,y)=\frac{1}{\sqrt{x2+y2}};\ P(4,\ 3),\ Q(3.92,\ 3.01)$

Text Transcription:

f (x, y) = 1/sqrt x2 + y2 ; P (4, 3), Q(3.92, 3.01)

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