Find div F and curl F if F(x, y, z) = xz°i+ 4yHx²j +42?yk. 5: 112. div F= curl F=

Q: Suppose Cov(X,Y) = 281. What is Cov(0.76X, 0.43Y)?

A: The objective of the question is to find the covariance of the two variables 0.76X and 0.43Y given…

Q: Let Þ(u, v) = (7u + 9v, 9u + 2v). Use the Jacobian to determine the area of $(R) for: (a)R= [0,9] ×…

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Q: zdz + -dz. Izl=1 Z :Select one True False أخل اختياري

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Q: -x2

A: the given differential equation is: xydx+e-x2y2-1dy=0 we have to solve the given differential…

Q: Find the Integrating factor of: dy + y. sec5x = tan5x dx 1 (sec5x + tan5x) 5 O sec5х — tanп5x + 5 O…

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Q: 2. For F = (xz3, 2y*x²,5z?y) find: a. div F b. Curl F and find div(curl F) C.

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Q: *csch(2 sin 2x)cx 1. V1-4x let u= du=

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Q: (zy+9)8 dydr

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Q: Let X: EXP(0). suppose Y= 2x , the Y is i = 1 Select one: a. Gamma (n,-) b. Camma(n. 4) С.…

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Q: Find mZX (3y-71° X Y (2x) O W (x+181° (3y + 1)º

A: Solve for the angle X

Q: The joint pmf of X and Y are given in the table below: Y X 4 2 2 15 15 3 15 15 15 123

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Q: Calculate the length of the astroid of x2/3 + y2/3 = R2/3 for R = 2. -R R -Rt +x R

A: To calculate the length of the asteroid of

Q: Q.2 Find DivF and curlF at point (1,2) , where f(x, y) = xy² + Inxy

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Q: Evaluate r(2) and r(-1) for r(t) = (sin 1,12, (1² + 1)~1). %3D

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Q: Determine values of x and y so that v · w = 0 and v · u =

A: There are vector representation given as, v=x1y , w=x-20  and u=0-9y. To find the value of  x  and y…

Q: The joint pmf of X and Y are given in the table below: Y X 2 4 1 15 15 3 15 3 15 15

A: Solution-: We have following table of joint pmf of x and Y: X Y 0 2 4 1 0 2/15 1/15 2 3/15…

Q: Find V · (V x F), if F(x, y, z) = 5e*?i+ 9xe"j – 6e²k. V · (V × F) =

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Q: Evaluate (2x - y) dx + (x + 3y) dy. JC C: x-axis from (0, 0) to (0, -3) and (0, -3) to (9, -3)

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Q: Let w = iz2-4z+3i. find (a) Δw, (b) dw, (c) Δw-dw at the point z=2i

A: Consider the provided question, (a)

Q: find Pn (Q'U R).

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