dv av and ду ди ди 2. suppose f(z) = u(x,y) + iv(x, y), show that əx %3D ду əx ||

Q: W(s, t) = F(u(s, t), v(s, t)), where F. u. and v are differentiable. If u (6,-6)= -2, u,(6, −6) = 3,…

A: The objective of the question is to find the partial derivatives W_s(6,-6) and W_t(6, -6) for the…

Q: 1) Let f(z,y)- . Compute DS(z,y) where u- (4-9)

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Q: Calculate 7 af Әх af af af af 7 Әх ду Әх af ах af ду (1, -1) (1, -1) f(x, y) = x4y3 - х = = = , and…

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Q: Let r(t) =ti +t³j +tk The normal component of acceleration is an = 6t/2/V9t4 + 2 а. b. an= 4t/2/V9r*…

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Q: Sv.Vdxdy = dxdy = ду 2 + JR V.(6,x)-V,(b,x)]áx + [ [7 (a, y) –V,(0,v)ky.

A: Here is the solution of the given problem.

Q: f(x,y) af ?x af ду = af ду X 2x² + 8y² f(x, y) = tan af ?x (5)

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Q: If x, +iy,=x,+ iv, then x =y,

A: Given x1 + iy1 = x2 + iy2

Q: d) Let g(x,y) = (3x + y)2(2y + 1) and h(x, y) = 6y2(2x + y) h i) Find дх’ ду’ дх’ ду

A: The given functions are  and

Q: Let X ~ Uniform(-1,1) and Y = X² , find the CDF and PDF.

A: Use the following definitions, to obtain the solution. The cumulative distribution function of a…

Q: Vy + z f(x, у, 2) 3 (а) f(1, 5, 4) (b) f(6, 7, –2)

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

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Q: W(s, t) = F(u(s, t), v(s, t)), where F. u. and v are differentiable. If u (6,-6)= -2, u,(6, −6) = 3,…

A: The objective of the question is to find the partial derivatives of W with respect to s and t,…

Q: et f(x, у, z) %3 ху + z', Р %3D (3, 9, 1

A: