-If F= 3xyz' i+ 4x'y} – xyzk the find V (V-F) and V × (V × F) at (– 1,2, 1). Also verify that V (V-F) = V x (V × F) + V² F.

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Q: Find the number of zeros of f(z) = z' + iz² – z + 2i in the upper half-plane.

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Q: the linearization of (fi,f2) = (x²y+ 3xy², 3x³ + 2xy) at (1,0) to approximate the value at…

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Q: Find (url and dive rgence the of F(xy2)=Xy2 i+ 2x Y j t z(os xyk.

A: Given: F(x, y, z) = xyz i + 2xy j + 2cosxy k To find: Curl and divergence of the given function.

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Q: The equations ry? + 5xzcos(u) + ye" = 10 and x³yz + xe" – 10u2v² = 30 are solved for u and v as…

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Q: I need solution please help me.

A: Step 1:To prove that 𝐹(−𝑧)=1−𝐹(𝑧)for 𝑧>0, where 𝐹(𝑧) is the cumulative distribution…

Q: SF. dr, where F (x, y) = (6x − 2y)i +x²7, Evaluate from (6,-3) to (0, 0). and C is the line segment

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Q: of and ду of Consider the function f(x,y) = 9x' - 4y - 2. Find -

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Q: The function u(x, y) obeys, 8²u Ərəy = -2e

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Q: Q1. Let f(x, y) = x²y + x + y² +3. (a). Find f(x, y). (b). Find dy

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Q: u = x² + y³ + z*, X = s•t = s2 +t2 y = z = s-t

A: We find complex function

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Q: Which of the following pair of functions is linearly independent? (a) e3*, e(x-3) (b) 4, sin?x +…

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Q: 1 g(u) = V5и + 8 then g' (u) =

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Q: On which interval(s) is the function g(x) = xª – 8x² + 5 concave down?

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Q: 3x + 11y af If f(x, y) = then is : 3x – 11y dy - 66x (3x + 11y)² 66x (3x – 11y)² 66x (3x + 11y)2 66x…

A: Partial derivative

Q: For the function f(x,y) = 5x - 6y - 6, find - of and

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Q: Compute ƒxxx and ƒxxy for ƒ(x, y) = x3y.

A: Given function - f(x, y) = x3yConcept - While partially differentiating with respect to x, other…

Q: Find the indicated value for f(x,y) = x^2y^3  fxx(1,2) =  fyy(1,2) =  fxy(1,2) =  really…

A: Given query is to find indicated partial derivative.

Q: If f(2) = (3z)²a² z+2/a find and simplify f(/@). %3D

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Q: Find f '(2), where f(t) = u(t) v(t), ū(2) = (1, 2, -1), u' (2) = (3,0, 4), and v(t) = (t, t², t³).

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Q: af , Given the function f (x,y) = 3x – x²y² + 2x°y, what is iTe ду А. 3 — 2ху? + бх?у В. - 2х3у +…

A: Given query is to find the partial derivative with respect to y.

Q: Given the 3 functions. F(x,y) = 2x+y. G(x,y) = x^2 + y, and H(x,y) = (x^3 + y^3) / (x^2 + y^2)…

A: Given: Fx,y=2x+y, Gx,y=x2+y, Hx,y=x3+y3x2+y2To classify each of the above given function as linear,…