Given F = f(x,y,z) = < 2yz, 2xz + 3, 2xy + 2z>, find a function f so that F = Vf + K Use your answer to evaluate [₁ x = t², y = t + 2, z = 3t − 2, 0≤t≤3 F. dr along the curve C:

Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: 2y)j + x the point

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Q: For the function f(x,y,z) = In (8x + 7y+ 10z), find fy, fy, and f,. fx fy =D Iz =

A: given,      fx,y,z=log8x+7y+10z

Q: Determine and graph the domain of the function: f(x,y) = ev- + In(5x² + 7vZy² – v2) |

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Q: Find f.(x, y) and f,(x, y) for f(x, y) 3x3 + 8y? – 6x + 4y and evaluate each at f(4, 5). f.(x, y) =…

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Q: then find x²°u +2x)y əxəy If u = (x – y)f(y/x), a2u then find x2 dx2 a2u + 2xy дхду

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Q: Find &, for f(a, y) = xy? – 4.ry² +x*. 3

A: This question is related to partial derivatives.

Q: dz 2 = -ry", where r = st“ and y = –st". Compute – as a function of s and t only evaluate this when…

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Q: F(x, y) := x² + xy + y² – 1 y – x2

A: Solve the given problem.

Q: Find fax, fxy and fy for the function f(x, y) = 3x³ + 3xy² + 2x³y² + 3y² Select one:

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Q: For the given function P = xyz – 2y²+ x²z² find the div grad 9 at point (8,5,4).

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Q: Зx+2 2. Perform the indicated function evaluations for f (x) = 2x+3 a) f(-4) b) fE) c) o) f(-) e) f…

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Q: dw at (u,v) = (5,4) for the function w(x,y) = xy – y; x= u – v, y= uv. Evaluate du O A. 21 O B. 1 O…

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Q: The absolute max for the function f(x)=x2 – 2x+1 on the interval [-2, 3] occurs at : Select one: а.…

A: Given function is  f(x)=x^2-2x+1

Q: Find y" from the function: y = x² – 2xy + 3y? = 4 %3D -

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Q: For the linear function f(x)= -2x-2. Describe the line slat

A: The given linear function is: fx=-2x-2

Q: 2. Find whether the function F-(* - y' )i + (v² - 3x)j + (:² - xy is irrotational.

A:

Q: fex)= J4-x +2

A: The function is given by f(x) = 4-x + 2 To evaluate : The graph of the function f(x)