Linear approximationa. Find the linear

Chapter 10, Problem 22E

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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

\(f(x, y)=12-4 x^{2}-8 y^{2}\), (-1,4) estimate  f(-1.05,3.95)

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

\(f(x, y)=12-4 x^{2}-8 y^{2}\), (-1,4) estimate  f(-1.05,3.95)

ANSWER:

Solution 22E

Step 1 of 4:

Given that

f(x, y) = 12 − 4x2 − 8y2; (− 1, 4); estimate f(−1.05, 3.95).

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