Solved: Linear approximationa. Find the linear

Chapter 10, Problem 21E

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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 ;(2,3)  estimate  f(2.1,2.99) .

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 ;(2,3)  estimate  f(2.1,2.99) .

ANSWER:

Solution 21E

Step 1:

Given that

f(x, y) = xy + x − y; (2, 3); estimate f(2.1, 2.99).

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