Find V x (V × F) if F(x, y, z) = 8xyj+7xyz k. V × (V × F) =

Q: i = √ √ 3x² (x³ + 1)²³ dx, w= x³+1 Rewrite the Function in terms of u

A: The objective of the question is evaluate the definite integral and rewriting the integral.

Q: /s. 5. Show that 2x?dx = f 2x²dx + S, 2x²dx + f 2x²dx %3D

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Q: Calculate Duf (2₁-4,1) in the direction of 9 = 2₁ +2²₁ +3k for the function f(x, y, z) = x² +…

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Q: Differentiate y = xV A. 2Vx (2+In x) В. (2+In x) VX C. 2vx 2V (2 – In x) | D. 2V (2 + In x)

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Q: Find the values of x and y for which (x + y, 0) = (3,1 - y)

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Q: The joint pmf of X and Y are given in the table below: Y X 4 2 1 15 15 2 15 3 3 15 15 上面00

A: Solution-: We have following table: X Y 0 2 4 1 0 2/15 1/15 2 3/15 6/15 0 3 3/15 0 0…

Q: Lt² V4-t² dt V(4-x)/(2\x) x(4-x)

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Q: 2 -1 2 2.

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Q: Find dy2 of z = 2x – 5xy² + x² y° %3D -

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Q: If (x and jy)² = 3 + j8, find x and y.

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Q: 2 X 2 X 0+ - 4 +4 dx =

A: C+C

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Q: Find f. f"(x) = 6 + 6x + 36x², f(0) = 3, f(1) = 14

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Q: If ƒ (x, y) = x³y5 + 2xy, then what is the second coordinate of Vf? (Remember to use * for…

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Q: Salve diff.eon √₁+x² + y² + x²y² + xydy 1 = 0 14x

A: Given differential equation is             1+x2+y2+x2y2 +xydydx=0 ⟹        1+x2+y2+x2y2 =-xydydx⟹…

Q: If (x + 1, y – 2) = (3,1), find the values of x and y.

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Q: Differentiate with respect to x,             y = (2x + 1)(3x + 2)

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Q: Evaluate V1-x-dx A. --(x+xvI– x-) +C B. (x+xV1%3=x) +C c. (x+xv1+x-) +C D. -(x-xVT-x-) + C xv1-x)+ C

A: Find your answer below

Q: -3-X, -3y, -3z]

A: We have to find div(V) from the given

Q: Draw y² = f(x) 1+ (1,-1) 2 (2.5,1)

A: We have draw the graph of y2=f(x)The procedure is given below

Q: 4 Simplify to approximate the sum of the area using right end points. j=1

A: Answer is here

Q: x = (1- y)*(3y +1) ;y"

A: Answer is given in next step.

Q: Find f132 if f(y,z,x) =3x2+6xz+yx3

A: Question- Find f132 if f(y,z,x) =3x2+6xz+yx3

Q: Find fxxx for f(x,y)=x2y2

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Q: The joint pmf of X and Y are given in the table below: Y X 2 4 2 15 6 15 1 15 3 2 15 3 15

A: Here we have to find the variance V(Y) from the given joint distribution table