Change from rectangular to spherical coordinates. (Let p 2 0, 0 s 0s 2n, and 0 so Sn (a) (0, –7, 0) (p, 8, $) = ( 7, - 3π 3π 4' 4 (b) (-1, 1, -V2) (p, 0, $) = ( 7, - 2' 2

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Q: 6. Find the rectangular coordinates of the point (, 5, 7) which is in spherical coordinates. 5T T

A: Any spherical co‐ordinate r,θ,ϕ can be  converted to rectangular co‐ordinates   x,y,z  by…

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A: By integral, x2+y2⩽z⩽43-x2-y2----1 0⩽y⩽43/2-x2------2 0⩽x⩽43/2----------3

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Q: Which of the following is the rectangular coordinates of the point which is given by cylindrical…

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Q: Change from rectangular to spherical coordinates. (Letp2 0, 0 ses 2n, and 0 sp S n.) (a) (0, 5/3, 5)…

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Q: Find a spherical coordinate equation for the sphere x². + y? + (z – 1)2 = 1 Select one: а. p = cos Ø…

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Q: Change from rectangular to spherical coordinates. (Let p 2 0, 0sos 2n, and 0 sos n.) (a) (0, 7, -7)…

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Q: Find the spherical equation of the Cartesian equation x? + y2 +(z - 46)² = 46². O a. rho = 46…

A: The Cartesian equation is  x2+y2+(z-46)2=462

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A: Rectangular coordinates to Spherical coordinates:                       x=ρ sin ϕ cos θy=ρ sin ϕ sin…

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Q: The spherical coordinate equation of (x – 4)² + y² + z? = 16 is p= 8sinØcose

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Q: Problem 2. Express the function x² – y? 3 2xyz it x² + y² j+xk F = in terms of the coordinates p, 4,…

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Q: 18-22-y2 Example 3 Convert x2 + y? + z? dz dx dy into spherical coordinates.

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Q: 1. Consider a point in Cartesian coordinates given by (-2,2√/3, 4). (a) Find a corresponding…

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Q: 18-2-y Example 3 Convert 2² + y² + z² dz dz dy into spherical coordinates.

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Q: Q.No 05: Find the expressions for the spherical harmonics Y30 (0, 9) and Y3,+1(0, 9). Y30 (0, 9) =…

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Q: 1-For spherical polar coordinate system Zr Zr (2² exp(- 2a 1 Z. -) sin OCosø 42 `a а Jy„V„dV = 8_ =?…

A: For spherical polar co-ordinate system ψpx=142Za32exp-Zr2aZrasinθcosϕTo find:∫ψpxψpxdV=δxx

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Q: Find a spherical coordinate equation for the sphere x² + y² + (z – 1)² = 1 Select one: a. Non of…

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