Find the linear approximation to the equation f(x, y) = 5?(xy/12) at the point (6,8,10), and use

Name: Find the linear approximation to the equation f(x, y) = 5?(xy/12) at the point (6,8,10), and use it to approximate f(6.28, 8.16) f(6.28, 8.16) ? Make sure your answer is accurate to at least three decimal places, or give an exact answer.
Uploaded: 2023-02-27T13:19:56-08:00
Duration: 1 min 25 s
Channel: Sri K
Description: Find the linear approximation to the equation f(x, y) = 5?(xy/12) at the point (6,8,10), and use it to approximate f(6.28, 8.16) f(6.28, 8.16) ? Make sure your answer is accurate to at least three decimal places, or give an exact answer.

Question

Avinash Vishwakarma · Accepted Answer

Step 1: Find the partial derivatives of f(w, y) with respect to w and y.

f(w, y) = 5w^2y
∂f/∂w

Question

Find the linear approximation to the equation f(x, y) = 5?(xy/12) at the point (6,8,10), and use it to approximate f(6.28, 8.16) f(6.28, 8.16) ? Make sure your answer is accurate to at least three decimal places, or give an exact answer.

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