Find the partial derivative. dz 10) Let z = g(x,y) = 2x + 7x2y2 - 8y2. Find A) 14xy2 - 16y B) 2 + 14xy2 C) 14x2y - 16y D) 2 + 14x2y

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A: The given function T=e-2rcosθ. We have to find the second-order partial derivatives. Note:  Since…

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Q: Let ƒ(x, y) = 2ex - 8x3y2. Find all second-order partial derivatives.

A: Consider the function: fx, y=2ex-8x3y2……1

Q: Evaluate the indicated partial derivative. Z-9xy-3x-y:. A 18x-15x B B 18ty-15xty 9x2-3x$ D 93y-3ry

A:

Q: Consider the function f(x,y)=x²e*-7x²+x+3y-2. Calculate the partial derivative fx(1, 2). Answer:

A:

Q: Calculate fx(l, 3) and /y(l, 3) for f (x, y) =

A: Given: fx,y=7x+y2

Q: find the partial derivatives. The variablesare restricted to a domain on which the function is…

A: As per our guidelines we have to solve one question

Q: Let w(z, y, z) = 1 + y² + z?, where z = 3', y = Int, and z = = et. Find I using the Chain Rule.

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Q: Find the indicated partial derivatives. a3w дz удх a3w д×2ду || = W = X у + 3z

A: w=xy+3z

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A:

Q: If f(x, y, z) = 2x5 + 3y5- 8x2y?z?, what is the partial derivative of f with %3D respect to z? fz =…

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Q: In substituting the point (4,1,2) in the partial derivatives, why does the terms without x and y…

A: In part (2), we have the following: ∂g∂x4,1,2=-π1 sin4π -14-1 ln3log332 Now, sin4π=0 So,…

Q: Find y as a function of a if y(0) = 2, y(0) = 3, "(0) = 7. y(x) = y"9y" + 18y = 0,

A: y'''-9y''+18y'=0y(0)=2, y'(0)=3, y''(0)=7To Find: y(x)

Q: 9) y = e4x² + x A) dy dx 8xe2x + 1 B) dy - 8xex2 dx %3D + 1 C) dy dy - 8xe4x2 dx — 8хе + 1 %D D) + 1

A: We have to find

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Q: Find the partial derivatives W = Əw Әх Əw ду х2 +y2 х2 - уг = II - 4xy2 (x² - y²)² 2 2 4xy2 (x²-₁²)²…

A: The given function is w=x2+y2x2-y2. We have to find the partial derivatives ∂w∂x, ∂w∂y.

Q: If f(x, y, z) = 2x5 + 3y5 - 8x3y²z², what is the partial derivative of f with respect to x? (A 10х4…

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