它们也称 Use spherical coordinate to evaluate Vr² + y² + z² dz dy dx. 0,

Q: Use spherical coordinates to evaluate /R Vx2 + y² + z² dV , where B is the ball x² + y? + z? < 10 В

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Q: 2 Convert this ntegral From rectangular Coordinte to Spherical Coordina tes (Donot eval vate the…

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Q: Use spherical coordinates to evaluate f[[, 3e(a+y´+z²)°/² dV, where E is the region inside the…

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Q: y³ /r² + y² + z²dzdrdy

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Q: Use spherical coordinates to evaluate 2π FT S 2-r r+z 0 (r² +2²) ³/ rdz dr de.

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Q: V4-y? '8-x²-y² By converting to spherical coordinates, evaluate 2? dz dx dy.

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Q: Problem. Use the spherical coordinatas, I= psin o cos 0, y= psin osin 0, z= pcos o; p = r +y° +z, dV…

A: Let us first analyse E to get the limit values of integration. We are given that E is the solid…

Q: Evaluate fff 1- x2 - y2-z2 dx dy dz where V is the volume of the sphere x? + y? + z2 = a? by…

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Q: Use spherical coordinates. |II (2 – x² – y²) dV, where H is the solid hemisphere x? + y2+ z² s 9, z…

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Q: Use spherical coordinates. |II (1 - x² - y²) dv, where H is the solid hemisphere x2 + y2 + z? s 25,…

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Q: VI-y? rz²+y? I = f(x, y, z) dz dx dy.

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Q: 4-x² –y² b.) z dz dy dx -VI¬x² J /3x²+3y? from Cartesian coordinates to spherical coordinates.

A: We need to find the geometry of the given integral.  Then find the limits in terms of spherical…

Q: In changing variables to spherical coordinates, the dV in I| f(x, y, z) dV becomes p cos o dp do de.…

A: By using formulaes for change of integral from Cartesian to spherical

Q: Jo Jo Jo 5. Use spherical Coordinates to evaluate Av16 -r² 00O00

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Q: (x, y, :) (p, 0, ) p² sin(o [Practice] Demonstrate the fact that the Jacobian when we convert from…

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Q: Use spherical coordinates to evaluate -VE 0 Vx? + y? +z? dz dx dy

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Q: (a) Express the following points in cylindrical and spherical coordinates: (i) P(1, -4, -3); and…

A: We need to find cylindrical and spherical coordinates.

Q: 1. Set up (but do not integrate) SSS,r+ ydV in spherical coordinates, where D is the solid…

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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: 2. Let W be the region where x2 + y? + z2 2. Use spherical coordinates to find I (2? + y? + 2?)-i…

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Q: Use spherical coordinates. SIL Evaluate |I| (x² + y2 + z²)² dV, where B is the ball with center the…

A: We need to evaluate the following triple integration ∫∫∫Bx2+y2+z22dV Where, B is the ball with…

Q: Use spherical coordinates. SI. Evaluate Vx2 + y2 + z2 dV, where E lies above the cone z = Vx2 + y2…

A: The spherical coordinate system is a polar coordinate system used to translate cartesian plane to…

Q: 20.Evaluate The intcaral below by changing to spherical coordinates. 100-4 100-x-4 10 -10

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Q: (a) Express the following points in cylindrical and spherical coordinates: (i) P(l, -4, -3); and…

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Q: Evaluate the spherical coordinate integ A1 8 sin o | ? sin d dp dɖp de do de 0 0 512 2 O A. -

A: Here we have to calculate I= ∫0π∫0π∫08 sinϕ ρ2 sinϕ dρ dϕ dθ

Q: 1) Converting Cartesian to spherical x +y + (z - 1)? = 1

A: The relationship between cartesian and spherical coordinates are :

Q: (d) r2 + x? = 9 in cylindrical coordinates (e) pcos(o) = 1 in spherical coordinates %3D

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Q: Use spherical coordinates. Evaluate y²z² dV, where E lies above the cone o = 1/3 and below the…

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Q: O Convert this Entegral From rectangular Coordinate to Spherical Coordina tes (Donot eval vate the…

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

Q: A cone in cylindrical coordinates has the equation z = Vx2 + y? , so in spherical coordinates its…

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

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Q: Use spherical coordinates to evaluate the triple integral / x² + y² + z² d mere E is the ball: æ² +…

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Q: 48. Use spherical coordinates to evaluate y'Vx +y +z dz dx dy

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Q: (x, y, :) = p° sin(ø [Practice] Demonstrate the fact that the Jacobian (P, 0, 4) when we convert…

A: In changing the coordinates from cartesian to spherical polar coordinates: x=ρ cosθ sinφy=ρ sinθ…

Q: By changing to spherical coordinate, evaluate (a) z' Vx² + y² +z² dz dy dx (b) " ST* E x² + y° +z?…

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Q: (b) To change from spherical coordinates to Cartesian coordinates we use the equations x =r cos 0, y…

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Q: Use spherical coordinates. Evaluate //| y²z2 dv, where E lies above the cone o = 1/3 and below the…

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Q: 9-y2 18-22-y? Example 3 Convert a2 + y? + z? dz dx dy into spherical 1²+y? coordinates.

A: Given that: ∫03∫09-y2∫x2+y218-x2-y2x2+y2+z2  dz dx dy

Q: Use spherical coordinates. I/| y? dv, where E is the solid hemisphere x2 + y2 + z? s 4, y > 0.…

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Q: Evaluate | xz dz dy dx by changing to spherical coordinates.

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Q: Answer true or false in spherical coordinates X,Y,z J p² sin p

A: Given: Jx,y,zρ,φ,θ=ρ2sinφ As we know that; The cylindrical coordinates; x=ρsinφcosθ,…

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

A: Consider the given integral ∫∫∫Ex2+y2dV, where E lies between the spheres x2+y2+z2=4  and…

Q: Find the Cartesian coordinates (x,y,z) of a point in space such that its spherical coordinates…

A: Let us consider the point P whose spherical co-ordinates is ρ,θ,φ and satisfies the equation  ρ=θ=φ…

Q: c) Use spherical coordinate to evaluate V1-x2 1 Vx2 + y? + 22 dz dy dr.

A: The given problem is to evaluate the given triple integral using spherical coordinates, we have to…

Q: Use spherical coordinates. Evaluate (2 - x2 - y2) dV, where H is the solid hemisphere x2 + y? + z2 <…

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Q: Evaluate the spherical coordinate integral. 7/2 7/3 8 sec 8 sec o Q sin o cos o do do de 5 sec o

A: We have to find the value of given integral.

Q: Use spherical coordinates. Evaluate /| y² dV, where E is the solid hemisphere x2 + y² + z² s 9, y 2…

A: first convert x,y,z coordinates into hemispherical coordinates than perform integral  detailed…

Q: Find an equation for the paraboloid z = x2 + y? in spherical coordinates. (Enter rho, phi and theta…

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Q: Use spherical coordinates. y2 + z2 where E is enclosed by the sphere x2 + y? + z = 49 in the first…

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Q: Use spherical coordinates. Evaluate y² dV, where E is the solid hemisphere x2 + y² + z² s 9, y 2 0.

A: Given  solid hemi sphere is   ;      x2+y2+z2≥  9   , y ≥0