Find fy, fy, and f,, and evaluate each at the given point. X' Z' f(x, y, z) = xy + 2xyz – 8yz, (-3, 1, 3) %3D ,(x, y, z) = %3D f,(x, y, z) = f;(x, y, z) = %3D f(-3, 1, 3) = -3, 1, 3) = %3D %3D f(-3, 1, 3) = %3D

Q: of Find (1.-7) if f(x.y) = 2x2 + 4xy - 5y? + 4x - 9y - 9. dx of (1, -7)-O (Simplify your answer.)

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Q: f(x, y) = 8 – + xy. I y

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Q: let r (t) = The y component of r' (5)

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Q: . Find div(F x G) = V · (F × G). F(x, y, z) = i + 9xj + 3yk G(x, y, z) = xi - yj + zk div(F x G) =

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Find all values of x and y such that f (x, y) = 0 and fy(x, y) = 0 simultaneously. f(x, y) = x² +…

A: The given function .The aim is to find all values of  and  such that .

Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = e-xyz

A: Given fx,y,z=e-xyz Partial derivative means differentiating with respect to one variable keeoing…