Evaluate J₁ 1 E x² + y² + z² x² + y² +2²= 25 in the first octant. dV, where E lies between the spheres x² + y² + z² = 1 and =

Q: 2. Let D be the half-disc in the xy-plane given by x +y <9. 2. Calculate e-?+v}dA Select one: a.…

A: Let  D  be the half-disc  in the xy planegiven  by  x2+y2&lt;9calculate ∫∫D  e-x2+y2  dA

Q: Use spherical coordinates. Evaluate III. (x² + y2) dv, where E lies between the spheres x² + y² + z²…

A: Evaluate the triple integrals conversion yo spherical co-ordinates

Q: The complex function fla)=ulx.y) + ¿elx.y) Con be differentiated ony point Tin complex opoce The…

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Q: Write the sphere equationil odi lo anoitaupo ontemeeg bas Totoov bnif (d) x2 + y? + z2 + 2x - 4y –…

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Q: 1. Set up [ƒƒ ƒ (x, y, z) dV on the portion of the sphere x² + y² + 2² ≤ 4, with x ≥ 0,3 ≥ 0 and z ≤…

A: The given portion of the sphere x2+y2+z2≤4, with x≥0, y≥0 and z≤0. We have to set up the triple…

Q: Let H be the segment of the hyperbola x-y°= | Connecting (1,0) to (2, J3). Evaluate the line,…

A: Given  H be the segment of hyperbola x2-y2=1 connecting the points (1,0) to (2,3)  we have to…

Q: solve for no. 4 and 5

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Q: 4. Let C be the unit circle in the xy-plane, and S be the boundary of the square with side 1,…

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Q: Use spherical coordinates. Evaluate (6 – x2 - y?) dv, where H is the solid hemisphere x2 + y² + z² <…

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Q: e2z Evaluate a dz, where C is a circle with (z+1)* centre at origin, |z| = 3.

A: Given integral is ∮Ce2z(z+1)4dz Where C is  |Z| = 3

Q: baphress -4i in esponenial form reio the Qunge OLOC2TI in

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Q: 2. Triangle FGH with verlices F(1,8), G(5, 7), and H(2, 3): y-x F' G' H' - 177

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Q: Describe the quarter globe in space polar coordinates. K := {(x, Y, z) E R³ : x² + y² + z² < 169, x…

A: We are given the quarter globe by K = x, y, z∈ℝ3 : x2+y2+z2≤169, x≤0, z≤0. Let x=r sin θ cos φ, y=r…

Q: 8. let C be the curue space ret) = (e*,2et ,2et ),0s ts lnca) the rength of C is

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Q: Let -{) -() -E) --() by and 7 1 b2 ba Find conditions on bi, b2, by such that E span{at, a, .

A: NOTE: Refresh your page if you can't see any equations. . write all basis vectors in the matrix…

Q: II. 2 + y?) dv. JE

A: Given: x2+y2+z2=1 and x2+y2+z2=4 To Evaluate: ∫∫∫E(x2+y2) dv

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Q: Which of the following is a parameterization for the portion of the elliptical paraboloid octant?…

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Q: 10) Use Green's Theorem to eualuate S+10ny +y?)dx + l6xy+ 5a²) dy Toxy+ sa?) dy where C is the…

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Q: 2 € C: |Re 2| < 2 < 2

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Q: In ARST, SV bisects y ZRST. Find the coordinates of point T in terms of a. S (a, a) 2a T?, ?) V (2,…

A: Given that, Let ∠TSV=θ and ∠VSR=θ(∵SV is angle bisector)

Q: Evaluate [[[ =*dxcydz over the sphere x +y² +=² =1.

A: to find:- to evaluate the given integral.

Q: please answer fully on paper and make sure its correct please i keep getting different answers

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Q: Use spherical coordinates. JIS z dv, where E lies between the spheres x2 + y2 + z² = 9 and x² + y² +…

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Q: If o is the sphere of radius 2 centered at the origin, then (x² + y² + z³) d$ =

A: Given the sphere