Given a function f(x, y, z) = ryz° +z°yln (z) – z'y? + 4, find: of (1,2, 1) = (1, 2, 1) = (1,2, 1) = azdy (1,2, 1)

Q: 'y' and evaluate each at the given point. ху f(x, y) = - (2, -2) %3D x - y f,(x, y) = %3D ,(x, y) =…

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Q: Find fx (x,y), fxy(xX,y), fyx(x,y), and fyy (x,y) for the following function. f(x.y) 2x'y +5x° +9y…

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Q: Find the indicated value of the function f(x.y.z) = 3x - 5y? + 9z° - 6. f(9, – 3,1) f(9, - 3,1) = O

A: f(x,y,z)=3x-5y2+9z3-6f(9,-3,1)=3×9-5×((-3)2)+9(13)-6f(9,-3,1)=27-45+9-6f(9,-3,1)=36-51f(9,-3,1)=-15

Q: Let w = x°y cos(4z). Find the following. a) (x, Y, z) = Əx b) (x, y, z) = dy c) dz (x, Y, z) · (d) -…

A: Topic = Derivative

Q: Jeremy and Thulile are running toward the point P along two straight paths that make a fixed angle…

A: Given: Jeremy and Thulile are running toward point P along two straight paths that make a fixed…

Q: 5. x² +7y° For the function f(x,y)= x° find f, fy, f,(-5,-4), and f (0.-2). + y

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Q: Given f(x, y) = 6x° – 5xy? + y*, find the following numerical values: - f.(4, 4) = f,(4, 4) = f„(4,

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Q: Find y as a function of x if y(0) = 10, y(0) = 10, y"(0) = 18. y" - 16y" +63y = 144e",

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Q: Find f. (x, y) and f,(x, y) for f(, y) = 6x° + 7y² + 8x – 4y and evaluate each at f(2, 5). f.(x, y)…

A: Consider the function

Q: Find y as a function of t if 16y" + 16y + 4y = 0, and y(1) = 2, y'(1) = 3. y =

A: The given differential equation  and the initial conditions .The objective is to find the solution…

Q: Suppose X1, X2 ∼ Unif(0, 1) and are independent. Let Y = min(X1, X2). Find fY (y).

A: We have given that X1,X2∼U(0,1)Objective :To find the  PDF of Y=min(X1,X2)

Q: The temperature is T(x, y) = (x-1)² + y² degrees at any point (x, y) on a triangular metal plate…

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Q: Find fyzy. f(x, y) = x°y® – 7x°y+x

A: Given: fx,y=x5y9-7x7y+x   We can write as: fyxy=∂∂y∂∂x∂f∂y So, ∂f∂y=∂ ∂ yx5y9-7x7y+x=∂ ∂ yx5y9-∂ ∂…

Q: Given f(x, y) = 4x°y+ 7xy*. Compute:

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Q: If f(x, y) = V + y3, find fy(0, 5).

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Q: A Find the value of J G dL if G = x'a, - xyza, given points P,(1,2,3) and P;(5,0,4) and a path…

A: Given: G=x2ax-xyzaz P1:1,2,3 P2:5,0,4   To find: The value of ∫P1P2G·dL for a path consisting of:…

Q: Let f(x, y) denote the elevation of boring national park, and suppose britbmw is on a slanted part…

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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…

Q: Find y as a function of a if y(1) = −2, y′(1) : = 4. y = x²y" + 9xy' + 16y = = x³,

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Q: Find fy (X,y) if f(x,y) = (x° + y°)°. ху Exy(x.y) =

A: Topic: differentiation

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: Find Joy²dx + (xy-x²) dy along C: y = 7x from (0,0) to (1, 7).

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Q: Given a function f(x, y, z) = cos (x + xy²z²), find: f#(5,1, 1) = frz (T, 1, 1) = %3D

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