Evaluate the triple integral. 7x dV, where E is bounded by the paraboloid x = 5y2 + 5z2 and the plane x = 5.

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 integral, where E is enclosed by the paraboloid z = 9 + x² + y?, the cylinder x2 + y2 =…

A: In cylindrical coordinates:-x=r cos θy=r sin θ z=z Also, x2 +y2 =r2  And, ∫∫∫f(x, y, z)…

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 iterated integral. dy dx dz z +1

A: Integrate as general

Q: Evaluate the iterated integral. 21 V441-y у dx dy 21 441-y у dx dy %3D i

A:

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…

Q: rln z xe' dy dz dx 0.

A:

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,…

A:

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

A:

Q: Consider the triple integral I = S S“(y² – 6z)dydzdx. -

A: ∫02∫x21∫0xzy2-6zdydzdx=∫02∫x21z3x33-6z2xdzdx=∫02x31-x812-6x13-x63dx=31.88888…

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

A:

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

A:

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.

A:

Q: Evaluate the integral (x + z) dS where S is the part of the cylinder y + z2 = 4 with x E [0, 9].

A:

Q: Evaluate the double integral: To L 0 y x7 +1 y¹/3 x7 dx dy.

A: The given integral is: I=∫08∫y132yx7+1dxdy   So, The limit of the x varies from y13 to 2. The limit…

Q: Evaluate the double integral x° dA, where D = {(x, y) : 1 < æ < e,0 < y < In x}.

A:

Q: Consider the integral 3 4х f (x, y) dy dx 0, Evaluate the integral for f (x, y) = 5x²y

A: Given Data: Integrand: ∫03∫04xfx, ydydx Function: fx, y=5x2y3 Integrate the function. ∫03∫04xfx,…

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

A:

Q: Evaluate the triple integral x dV where E is the solid bounded by the paraboloid x = E : 6y² + 6z²…

A:

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 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 triple integral, 2xy dV, where the intergral is bounded by the parabolic cylinders y =…

A: The given triple 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 triple integral a dV where E is the solid bounded by the paraboloid a = 10y² + 102² and…

A:

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

A:

Q: evaluate the iterated integral.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

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

A:

Q: 3 The integral ³³ g(x, y) dxdy is equivalent 3 to ₁ ³x g(x, y) dydx

A:

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

A:

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

A:

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

A:

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

A:

Q: Evaluate the triple integral x dV where E is the solid bounded by the paraboloid x = 6y² + 6z² and x…

A: To evaluate the triple integral ∬∫ExdV where E is the solid bounded by the paraboloid…

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

A:

Q: Evaluate the double integral for R: 0<y<1,0<x<y² . Sly e*dxdy .

A:

Q: Evaluate the double integral (x2 + 6y) dA, where D is bounded by y = x, y = x³, and x > 0. Answer:

A: We have to find the value of the integral

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

A:

Q: Set up the iterated (triple) integral for the integral ]]] xy¹z³ dV where S is the tetra- S hedron…

A: We will find limits of variable and then find value of integral

Q: Evaluate the double integral. dA, D = {(x, y) |0Sx< 5,0 < ys Vx} x2 + 1

A:

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

A:

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. r2y (8 + 11x2 + 7y²) dx dy ly

A: From the given problem: I=∫02∫y2y8+11x2+7y2dxdy=∫028x+11x33+7y2xy2ydy

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

A: