Linear approximationa. Find the linear approximation to

Chapter 10, Problem 25E

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QUESTION:

Linear approximation

a. Find the linear approximation for the following functions at the given point

b. Use part (a) to estimate the given function value

\(f(x, y)=\ln (1+x+y) ;(0,0) ; \text { estimate } f(0.1,-0.2) \text {. }\)

Questions & Answers

QUESTION:

Linear approximation

a. Find the linear approximation for the following functions at the given point

b. Use part (a) to estimate the given function value

\(f(x, y)=\ln (1+x+y) ;(0,0) ; \text { estimate } f(0.1,-0.2) \text {. }\)

ANSWER:

Solution 25E Step 1:Given that f(x, y) = 1n (1 + x + y); (0, 0); estimate f(0.1, 0.2)

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