Write other flve iterated integrals tiat are egual to rf (x,y,z) dz dy dx GOMAGE

Q: Y – 5x |dA 100 cos x + y

A: We have to evaluate the double integral ∬100cosy-5xx+ydxdy over the region D where the region D is a…

Q: Evaluate the integral, AP where, E lies between spheres +y + z = 2 and a + y + = 3. for a 20

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Q: 0. Everlueik he integral (ez)Esmz dz, where Ci12|=1, by any and two methods Compare the geselts.

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Q: Calculate the iterated integral. (x + y)? dx dy Jo Jo

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Q: Verify Green's Theorem by evaluating both integrals ON aM | y? dx + -x² dy dA ax ay for the given…

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Q: Evaluate the iterated integral. It/2 y/6 sin y dz dx dy Jo Jo

A: Given  ∫0π/2∫06y∫03ysinydzdxdy

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

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Q: Verify Green's Theorem by evaluating both integrals aN | y? dx + x2 dy = dA ax ду for the given…

A: Gshhsg

Q: Choose five other iterated integrals that are equal to the given iterated integral. r2 f(х, у, 2) dz…

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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: Evaluate the iterated integral. 1 1I 11ze- dx dy dz O Jo Jo

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Q: Write two iterated integrals that equal ∫∫R ƒ(x, y) dA, whereR = {(x, y): -2 ≤ x ≤ 4, 1 ≤ y ≤ 5}.

A: Given: R={(x,y):-2≤x≤4 , 1≤y≤5} To determine: The two iterated integrals that equal to ∫R∫ f(x,y) dA

Q: Verify Green's Theorem by evaluating both integrals y? dx + x² dy Ne dA ду ax for the given path. C:…

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Q: The improper integral A 1 B 0 C St edx is

A: To solve the improper integration.

Q: Y – 5x |dA x + y 100 cos

A: We have to evaluate the double integral ∬ 100cosy-5xx+ydxdy over the region D where D is the…

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

A: Given: ∫08∫04∫01(x+y+z)dxdzdy

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

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

A: The given integral is: ∫01∫01-y2∫01-y f(x, y, z) dx dz dy

Q: Evaluate the integral, (x - y) dV E where, E lies between spheres r + y? + z2 = 1 and r + y² + 2? =…

A: Evaluate the integral ∭Ex−ydV, where E lies between spheres x2+y2+z2=1 and x2+y2+z2=2 for y≥0. For…

Q: Evaluate the iterated integral. 2 8 (x +y + z) dx dz dy Jo Jo Jo

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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: evaluate the Indi chorces Jof u blv (use c for the donstant of ntegrato integral Using entegration…

A: Let u and dv

Q: Evaluate the integral Sr 8ry dA, where Ris the triangle 8x + y 0, y > 0.

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Q: Rewrite the iterated integrals in the order dzdyda 11-y? 1-y SS Sf(,y, z)dadzdy 0 0

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

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

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Q: Calculate the iterated integral. 16 4 xp Ap Y dy + y

A: Final answer is 285ln(2)

Q: ots) Evaluate the following contour integrals: Sc (z² – z + 2) dz, C is quarter circle connecting i…

A: Given  ∫(z2-z+2)dz, C is a quarter circle connecting i to 1C∮(z2+z)(z-3i)2, C:|z|=5C

Q: BY ! INSTRUCT LIC HDD UD 3. Evalnate. the following.deuble.integrals.by.converting to Cenu ...…

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

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Q: Evaluate the triple iterated integral. T/2 r cos é dr de dz Jo

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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: Evaluate the iterated integral. SI[ *y+zcos(z')dxdydz

A: Integrate the integration in given order one by one.

Q: Evaluate the integral. integral from 0 to 2 and integral from 2 to y2 and integral from 2 to z…

A: ∫xn dx=xn+1n+1+C

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

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

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Q: Evaluate the iterated integral. 3 (2z fIn(x) '3 xe-Y dy dx dz Jo

A: ∫13∫02z∫0ln(x)x e-y dy dx dz

Q: 3) Evalnate the iterated integral oy Cer the to palar corrdinate, 2x-x a) hny? dy dx

A: Introduction: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Evaluate the iterated integral. SIT stad dy dx dz 5ze

A: Answer and explanation is given below...

Q: Write five other iterated integrals that are equal to S, L f(x,y,z)dz dx dy.

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Q: Calculate the double integral of f(x, y) over the triangle indicated in the following fhgure y 4 3…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Calculate the double integral of f(x, y) over the triangle indicated in the following figure: f(x,…

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

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Q: Evaluate the integral over the rectangle R: (a) |/ ev dA, 0 < ¤ < In 2, 0 < y < In 2 R (b) dA, 0 < x…

A: As we know that; The Power rule; ∫xndx=xn+1n+1+C ; n≠-1 And ∫eax+bdx=1aeax+b+C   (a). Given:…

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. J. J, J vz dx dz dy A 45 в) 34 (© 47/3 D) 5

A: Topic = Integration

Q: Evaluate the iterated integral 3r'y drdy

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

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