Linear approximationa. Find the linear

Chapter 10, Problem 26E

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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

\(f(x, y)=(x+y) /(x-y) ;(3,2) ; \text { estimate } f(2.95,2.05) \text {. }\)

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

\(f(x, y)=(x+y) /(x-y) ;(3,2) ; \text { estimate } f(2.95,2.05) \text {. }\)

ANSWER:

Solution 26E

Step 1:

Given that

 f(x, y) = (x + y)/(x − y); (3, 2); estimate f(2.95, 2.05).

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