Find the linear approximation to the equation f(x, y) = 4 * sqrt(xy / 12) at the point (8, 6, 8)

Name: Find the linear approximation to the equation f(x, y) = 4 * sqrt(xy / 12) at the point (8, 6, 8), and use it to approximate f(8.17, 6.23) f(8.17, 6.23) cong Make sure your answer is accurate to at least three decimal places, or give an exact answer.
Uploaded: 2023-06-20T18:15:28-08:00
Duration: 3 min 23 s
Channel: Adi S
Description: Find the linear approximation to the equation f(x, y) = 4 * sqrt(xy / 12) at the point (8, 6, 8), and use it to approximate f(8.17, 6.23) f(8.17, 6.23) cong Make sure your answer is accurate to at least three decimal places, or give an exact answer.

Question

William Mead · Accepted Answer

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

f_w = 0
f_y = 0

Question

Find the linear approximation to the equation f(x, y) = 4 * sqrt(xy / 12) at the point (8, 6, 8), and use it to approximate f(8.17, 6.23) f(8.17, 6.23) cong Make sure your answer is accurate to at least three decimal places, or give an exact answer.

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