9. Find div F if F(x, y, z) = x²yi + xyzj - x²y²k. A. 2xy + yz - 2xy² B. x² + xy C. 2xy - xz D. 2xy + xz E. x² - xy

Q: Let F(x, y, z) = x3³yz² - 6x²yz + 9xz - 2y³z. Find F Fxyz' 3x²yz² - 12xyz +9z+ x³z² − 6x²z − 6y²z +…

A: This question is based on Partial Derivative.

Q: Let f(x,y) = x² - 3xy-y². Compute f(4,0) and f(4, − 3). - f(4,0) = (Simplify your answer.)

A: If you have any help please let me know in comment box and then I will help you.

Q: xy* Let f (x, y) = if (x, y) # (0,0) and f (0,0) = 0. (a4+6y8)

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Q: Suppose that y is a function of u, u is a function of x, and u = -1 when x = 2. If du/dx|x=2 = 3 and…

A: Solution

Q: = Evaluate S₁2₁,22,23] f (2) dz where 21 = −i, z2 = 2 + 5i, zg 5i and f(x + y) = x² + iy

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Q: Let f (x, y) = Vy – 2x Evaluate f(3, 10)

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Q: Find fx and fy for f(x, y) = (1 - 2x + y)ex+2y Select one: a. None of these b. fx = c. fx (2 + x -…

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Q: Find fyx for f(x,y)=exln(y)

A: Given : fx,y = exlny

Q: Find f, (8,2) if f(x.y) = e* - 5y.

A: We can find the answer as below

Q: Let f(x, y) = √175 – 3x² – 4y² Evaluate f(5,3)

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Q: Let \n (xy) + y ² = x6+3 find dy ax

A: