Rewrite the iterated integrals in the order dzdydx 11-y? 1-y SS S f(x, y, z)dædzdy 00

Q: Evaluate the integral below, where H is the solid hemisphere x2 + y2 + z² < 36, z 2 0. SSS#(7 – x² –…

A: To find the integral    ∫∫H∫7-x2-y2 dV where H is the solid hemisphere x2+y2+z2≤36, z≥0.

Q: I.Evaluate the ff. iterated integrals. rd/2 ptan y sec y 1. x'cos' ydxdy

A: Please see the answer below.

Q: Evaluate the integrals: B:S, S' S'(x² + y² + z²)dz dy dx

A: ∫01∫01∫01x2+y2+z2 dz dy dx

Q: Evaluate the double integral / (a (x² ,2 + 8y) dA, where D is bounded by y = x, y = x°, and x > 0.

A:

Q: evaluate the triple iterated integral.

A: Integrate with respect to r first

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

A:

Q: evaluate the iterated integral.

A: Evaluate: ∫-10∫-11 x+y+1 dx dy

Q: Evaluate the following integral. In 3 Vz In (öy) ex+y? -z dx dy dz 1 1 In (5y) In 3 Vz In (öy) ex+y…

A:

Q: Rewrite the iterated integrals in the order dydzdx 11-z- 1-z SS S f(x,y, z)dxdydz

A: Let's find.

Q: Evaluate the triple integral. II y av, where E {(x, y, z) | 0 s x s 5, 0 s y s x, x - y szS x + y}

A: Here, we have to evaluate the triple integral

Q: dy dr x+ y 33. a dz dy x² + y 34.

A: .

Q: Write out (but do not compute) 5 other iterated integrals that are cquivalent IT [ f(r,y, 2)dz dz…

A: Given:     Limit: ( 0-4 , 0 - y2 , 0 - y )  f(x,y,z) dx dz dy

Q: Rewrite the iterated integrals in the order dzdydx 11-y? 1-y SS S f(x,y, z)dædzdy So So" o f(z, y,…

A: Please refer to the image below

Q: Evaluate the double integral. dA, D = {(x, y) | 0 < x < 9, 0sys Vx} ID x² + 1

A: The double integral is given by:

Q: Evaluate the integral b. 0 (z sin x + z cos y)dzdydx

A:

Q: Rewrite the iterated integrals in the order dzdxdy 1 1-x² SS S f(x, y, z)dydzdx 1-x 0 0

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Q: Evaluate the iterated integral. *T/4 4 - r rz dz dr d0 Jo Jo

A:

Q: Express the iterated integral fo SY² d as a non-iterated (i.e. single) integral in Y/1-y² terms of…

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Q: Evaluate the iterated integral. 1 z y SS§ 9ze=v² dr dy dz

A:

Q: ate the double integral of f(x, y) = x over the regic b D a a

A: Introduction: Integration is a method of bringing separate parts to form a whole. We find a function…

Q: Rewrite the iterated integrals in the order ddzdy 11-z 1-z SS S f(1,y, z)dydzdr

A: ∫01∫01-z2∫01-zf(x,y,z) dydzdx To Find: Rewrite the integral in the order dxdzdy.

Q: 1- Assume that x, y € R and z = x + iy € C .Calculate the following integrals using the given…

A: a) Given ∫0∞lnx1+x2dx ∫0∞lnx1+x2dx=12∫-∞∞lnx x-ix+idx=122πi Resi=πiln i2i=π2ln i=π2ln1+π2 i=π20+π2…

Q: Evaluate the iterated integrals a. (x-y)dydx b. cos y dxdy

A:

Q: Set up a double integral to find the z = x? + y? %3! %3D z = 0

A: We are asked  to set up double integral to find the volume.

Q: Write an equivalent integral with the given order of integration 1/2 el-472 1-2z c9(2) pk(1,2) |…

A:

Q: dA, D = {(x, y): 0 <x < 4, 0 <ys vã x² + 1 D

A:

Q: Evaluate the integral ff, (x + y) dA, where R = {(x,y): 1<x² + y² < 4, x< 0}. %3D

A:

Q: Which of the following is a valid triple integral? -Зу O f S"L* 3 dydzdx +y? O L* L*** 3 dzdydx 0.…

A:

Q: Evaluate the double integral. IL sy? da, D= {(x, y) I -1 s y s 1, -y – 2sxsy}

A:

Q: Evaluate the iterated integral: I 2² In(y) dy dæ

A: evaluate the integral ∫-22∫12x2 lny dy dx

Q: Evaluate the iterated integral. 16-y² ST Jo (x + y) dx dy

A:

Q: Evaluate the iterates integrals r*dA D = {(r, y) : 1<r< e, 0< y S In(x)} %3D

A: We will use simple Integration rules to solve this question.

Q: What does the following integral calculate? f(x, y, z)dV E

A:

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

A:

Q: Evaluate the iterated integral. T/4 '3 '3-r rz dz dr de

A:

Q: Evaluate the double integral + 2y) dA, where D is bounded by y = x, y = = x°, and x > 0. 3 Answer:

A:

Q: Then the double integral of f(x, y) over D is f(x, y)dædy

A:

Q: Which among the following is an improper integral? 1 A x[In?(3x) – 4] Inx x[In*x- 1] ` .0.5 1 dx…

A:

Q: Evaluate the double integral x* dA, where D = {(x, y) : 1 < x < e,0< y< In x}. %3D

A: The solution is given as

Q: Evaluate the iterated integral. '2 (z (x + z 19xz dy dx dz /o Jo Jo

A: GIVEN DATA : Iterated Integral ∫02∫0z∫0x+z19xz dy dx dz Let the given integral is I=∫02∫0z∫0x+z19xz…

Q: What does the following integral compute? //SE f(x, y, z)dV, where f(x,y,z) is not constant. E

A: In the given integral if the function f(x,y,z) is constant then it calculates the volume.

Q: 1. Express the integral S S f(x,y, z) dzdxdy as an iterated integral in the other five different…

A: I1=∫02∫0y3∫0y2f(x,y,z) dz dx dy0≤y≤20≤x≤y30≤z≤y2I2=∫08∫0x3∫0y2f(x,y,z) dz dy dxx=y3,y=x30≤y≤x3y=0…

Q: Use the substitution formula to evaluate the integral. the integral from 0 to 1 (8y^2-y+1)^-1/3…

A: From the given integral, Let, 8y^2-y+1 = t ----(1)Now differentiating (1), 16y -1 dy = dt32y -2 dy =…

Q: The double integral f(x)g(y)dydx ,where a,b.c, and C d are constants, is equal to

A:

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

A:

Q: Evaluate the iterated integral. In(x) xe Y dy dx dz 2z J3 Jo

A:

Q: Evaluate the iterates integrals 2) r*dA D = {(x, y) : 1 < a <e, 0< y S In(x)}

A:

Q: Evaluate the integral using any appropriate In2y dy y + 8y In y In ?y dy =] %3D y+8y In 3y (Турe…

A: Given : ∫ln2yy+8yln3ydy

Q: Evaluate the iterated integral 3r'y drdy

A: