Evaluate the triple integral. 8x dV, where E is bounded by the paraboloid x = 2y2 + 2z2 and the plane x = 2.

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Q: Evaluate the iterated integral. 4 1 v1-z seº dx dz dy 0 0 0

A: given  :

Q: Evaluate the iterated integral. 24 (x + y + z) dx dz dy of

A: To find: ∫02∫04∫01x+y+zdxdzdy

Q: Evaluate the iterated integral. 8. '1 (x + y + z) dx dz dy

A: When integrating with respect to one variable , take other variable as a constant.

Q: Evaluate the double integral Is- (2 - 2 2) dxdy where S is the region in the 4th quadrant (y <0, z2…

A: Given the double integral and equation of curve I=∬Sx2−2x3dxdy And y−3x,y=−2x2

Q: Evaluate the iterated integral. 8. (++ y + z) dx dz dy

A: We will evaluate the integral one-by-one with respect to x,z and y

Q: Evaluate the following integral: b.) !!!! xyz dv if S is the region bounded by the cylinders ² + y²…

A: According tot the given conditions the limi values of x,y and z are0≤x≤50≤y≤25-x20≤z≤25-x2Hence…

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Q: Evaluate the triple iterated integral. 2/2 L7 xyz dx dy dz 0 Jo J-1

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Q: Evaluate the iterated integral given below

A: Given integral is, ∫12∫12ydxdyx+y2. It is integrated as follows: ∫12∫12ydxdyx+y2=∫12ylny2+2-lny2+1dy

Q: Evaluate the triple integral of (1 − x2 − y2) dV, where H is the solid hemisphere x2 + y2 + z2 ≤ 4,…

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Q: sketch the region of integration, and write an equivalent double integral with the order of…

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Q: Evaluate the iterated integrals. 2 yz b. So So So xyz dx dy dz Jo 0 0

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Q: Calculate the double integral 2 dædy D= {(x, y)| 3< ¤ < 5, 5 –¤ < y < 8 –x} D x3 Enter the exact…

A: We need to evaluate double integral.

Q: Evaluate the double integral. 4y dA, D = {(x, y) | 0 s x s 1, 0 sysx} 6x + 1

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Q: Evaluate the iterated integral below. π/4 1 Só S"!+S": 0 0 y cos (x) dy dx

A:

Q: #1. Evaluate the iterated integrals (a) || (6x?y+4x - y) dx dy -2 (b) y2 x²y dxdy

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Q: 3 The triple integral L (x + 2y – z)dxdydz is equal to

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Q: evaluate the iterated integral.

A: Consider the integrals, ∫01∫01y1+xydxdy…

Q: Evaluate the double integral (x² + 2y) dA, where D is bounded by y = x, y = x³, and x ≥ 0.

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Q: Evaluate the double integral. y dA, D = {(x, y) | 0 s x s 2, 0 sys Vx} x2 + 1

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Q: Evaluate the iterated integral. 4 (x² – 2y²) dx dy %3D

A: We need to evaluate the following integral ∫12∫04x2-2y2dx dy

Q: Evaluate the double integral. y dA, x2 + 1 D = {(x, y) | 0 <x< 3, 0 sy s Vx} ID

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Q: evaluate the triple integral given by fff (x + 2y)dV, where E is bounded by the cylinder y = x² and…

A:

Q: Evaluate the triple integral x dV where E is the solid bounded by the paraboloid x = 9y² + 9z2 and x…

A: Given the region

Q: Evaluate the iterated integral. (x + y²) dx dy THERE

A:

Q: Evaluate the iterated integral. (x + y) dy dx

A: We have to solve given double integral

Q: Evaluate the iterated integral. 21 V441-y у dx dy

A: NOTE: Refresh your page if you can't see any equations. . ..............(1)

Q: Evaluate the iterated integral. 2 . (x+y+z) dx dz dy

A: The given integral is: I=∫02∫08∫01x+y+zdxdzdy   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Evaluate the iterated integral. 21 441–y² y dx dy 21 441–y² y dx dy = i 0.

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Q: Evaluate the double integral || (x2 + 4y) dA, where D is bounded by y = x, y = x³, and x 2 0.…

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Q: Evaluate the I'S. ü integral 2x-X xy dy dx

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Q: Evaluate the iterated integral below. π | 1 S. S'y cos (x) dy dx 0 0

A: Here in given question we have to find value of iterated integral.

Q: Evaluate the triple integral and confirm that 2 2 dx dy dz = = In 35, where D is the rectangular box…

A: We will prove the given statement .

Q: Evaluate the iterated integral. 16 3 x²y dx dy 16 3 Py dx dy : i

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Q: Evaluate the iterated integral. 2 *4z [In(x) f Jo xe Y dy dx dz

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Q: Evaluate the iterated integral. ||| x*y² + z² dx dy dz 0.

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Q: Evaluate the iterated integral. 6. 8. (x + y + z) dx dz dy

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Q: Evaluate the iterated integral below. TL S. 1 *Sycos (x) dy dx 0

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Q: Evaluate the iterated integral. 24 V576-y у dx dy 24 V576-y2 y dx dy = i

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Q: Evaluate the triple integral -3pi D x dV where E is the solid bounded by the paraboloid x = 6y² +…

A: Solution is given below:

Q: Evaluate the exact value of the multiple integral. 2 In 2z c2y e*dx dy dz 2 Jinz -y

A: This question is related to definite integration, we will solve it solve it using given information.…

Q: Evaluate the iterated integral. [[ (x + y) dx dy

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Q: Evaluate the iterated integral. (x + y²) dx dy J1

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Q: Evaluate the double integral J[₂x² x³ dA, where D = {(x, y) : 1 ≤ x ≤ e, 0 ≤ y ≤ ln x}.

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Q: Evaluate the triple integral,   4x dV, where E is bounded by the paraboloid x = 5y2 + 5z2 and…

A: To calculate the value of the triple integral under the given terms

Q: Evaluate the iterated integral. 5x (x + y²) dy dx J4x

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Q: A-Evaluate the following double integral - (x² + y²) dy dx fo

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: Evaluate the iterated integral. V 4 - y2 (x + y) dx dy

A: