Convert the equation written in Spherical coordinates into an equation in Cartesian coordinates Csc p= 2 cos e +4 sin 8 Oa. (x-2) +(y- 4)° +(= – 1)° = 16 Ob. r+y +(=-2) = x+ y (r-2) +(v-4)+= =0 Od. x +y +x+2y Oe. P+y'+2r+4y %3D

Q: Find the spherical equation of the Cartesian equation x2 + y? +(z - 17)2 = 172. o a. rho = 17…

A: Find the spherical equation of the Cartesian equation x2 + y2 +(z-17)2 = 172. Here i attached…

Q: Convert to spherical coordinates. √9-x2 3 St. Sort So √x² + y² [x² + y² (1) Z aretan, dzdy dx

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Q: Match the surface to its corresponding equation in spherical coordinates. |p = 4 cos() 1.5 -1 -0.5 0…

A: To match the given surface to their given Equation in spherical coordinates.

Q: V18-x2-y Convert (x² + y + z?)dzdxdy into spherical coordinates. 2n/3 3V2 4 p* cos pdpdpdO /2 -n/2

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Q: 2² dz dx dy By converting to spherical coordinates, evaluate

A: Given:  ∫02∫04-y2∫x2+y28-x2-y2z2dzdxdy we need to find following integeral by using spherical…

Q: 3. Given the function, W=x²+y²-z?, using spherical coordinates equations, find the aw aw dw and дө

A: It is given that, w=x2+y2-z2 It is known, that cartesian coordinates can be written in spherical…

Q: Q3//A:- Verify that dV = p² sin p dp d0 do when using spherical coordinates.

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

Q: How do you find the spherical coordinates of the following problem?

A: Given, Triple integral is

Q: In spherical coordinates, if u is a spherical wave, i.e. u=u(r,t), then the wave equation becomes du…

A: Given equation: 1r2∂∂rr2∂u∂r=1c2∂2u∂t2 ....i First Let V=ru ⇒u=Vr substitute this value of u in…

Q: 6. By converting to spherical coordinates, evaluate 22 dz dx dy. 0.

A: triple integral

Q: Find the spherical equation of the Cartesian equation x2 + y2 +(z - 37)2 = 37². a. rho = 37 cos…

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Q: For spherical polar coordinate system (3² exp(x)sin Cosø 4/2 `a 1 -Zr,„Zr. 2a a |W„Y„dV = 8¸ = ? px…

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Q: Write the equations in cylindrical coordinates. (a) 2x2 - 5x + 2y2 + z2 = 7 8,2 +z? – 5r cos(0) =7…

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Q: Write the equation z = 4-√√x² + y² in spherical coordinates. Op=4-tan(d) 4 P = cos(p) + sin(0)…

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Q: Convert the point (x, y, z) = (- 4, 1, 5) to spherical coordinates. Give answers as positive values,…

A: Given point (x y z) = ( -4 1 5)

Q: 1. Describe the graphs of the equation (a) r = cos 20 in cylindrical coordinates. (b) p= sec otan 0…

A: First change cylindrical and spherical coordinates system to Cartesian coordinates system

Q: In spherical coordinates equation for the paraboloid z = 2- x - y is p(cos o- psin? $) = 2 Select…

A: We have to find out  spherical coordinate

Q: Change each of the following points from rectangular coordinates to spherical coordinates and…

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Q: Eliminate the parameter from the parametric equations: x = 3 sin t y = 2+ cos t The resulting…

A: Given :                Consider the parametric equations :                       x = 3 sin t…

Q: Find an equation in spherical coordinates for the equation given in rectangular coordinates. x2. +…

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Q: Convert the equation written in Spherical coordinates into an equation in Cartesian coordinates Csc…

A: We Use the relations between both the coordinates and find the answer.

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

A: The spherical coordinates are given by  x=ρcosθsinφy=ρsinθsinφz=ρcosφ The given equation is…

Q: Find an equation for the paraboloid z = x2 + y2 in spherical coordinates. (Enter rho, phi and theta…

A: The equation of the paraboloid z = x2+y2                                       ........(1) To…

Q: 4-22-y2 Compute y? Vx2 +y? + z² dz dx dy by converting to spherical 4-x2- coordinates.

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Q: 8. Find the position vector T(t), velocity vector v (t),acceleration a (t), and the speed for the…

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Q: Find the spherical equation of the Cartesian equation x2 + y? +(z - 99)² = 992. o a. rho = 198 cos…

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Q: p = 4 cos 0 sin

A: Given: ρ=4cosθsinϕ To Find: Give the corresponding equation in Cartesian coordiantes considering…

Q: Write the equations in spherical coordinates 3x+4y+7z=1

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Q: Transform C = cos p a, - sin p a, + cos p sin p az into spherical coordinates and then at P (2, T/4,…

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Q: Write the equation in spherical coordinates. 2x2 - 3х + 2y2+ 22? (a) = 0 3p(p sin(p)cos (0)) 2 2х +…

A: Consider the following spherical coordinates.

Q: Eliminate the parameter from the parametric equations: æ = 3 sin t y = 2+ cos t The resulting…

A: Given: x=3sint                                                                   ..1y=2+cost…

Q: The equation p = 2 cos 0 sin o in spherical coordinate defines a sphere of center P and radius R,…

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Q: Convert the equation written in Spherical coordinates into an equation in Cartesian coordinates. csc…

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Q: Find an equation in spherical coordinates for the equation given in rectangular coordinates. x2 + y2…

A: The equation in rectangular coordinate is given by x2+y2+z2-3z = 0…

Q: x = 4 cos t and y = 4 sin t 0sts 4

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Q: Convert the Cartesian equation Z z = 6-√√36-x² - y² into spherical coordinates.

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Q: Consider the spherical equation given by p sponding equation in Cartesian coordinates. 4 cos sin o.…

A: The given spherical equation is ρ=4cosθsinϕ To convert the spherical equation to cartesian…

Q: Translate the spherical equation into cylindrical coordinates Equation: tan2(φ) = 1

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Q: please don't skip any steps

A: Given, ∫03∫09-x2∫09-x2-y2x2+y2+z2dzdydx

Q: Find the Cartesian form of the equation in spherical coordinates given by p = 2 cos p.

A: We have to solve above question and find cartesian form

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

A: Given  Y3,0θ,φ=716π5cos3θ-3cosθY3,±1θ,φ=2164πsinθ5cos2θ-1e±iφ

Q: 5. Use spherical coordinates to evaluate LIVE √√= ²+ y² + 2² dz dy dr.

A: Given ∫-44∫-16-x216-x2∫x2+y24x2+y2+z2 dzdydx

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

Q: Change the spherical equation below into cylindrical coordinates! tan2(Φ) = 1

A: Any point in the cylindrical coordinate system is represented as r,θ,z . Any point in the spherical…

Q: Q7. Convert the rectangular coordinates to both Spherical and cylindrical coordinates; A (-1, 1,…

A: x,y,z=-1,1,-2 r=x2+y2+z2 r=-12+12+-22 r=1+1+2 r=4 r=2 . θ=tan-1yx θ=tan-11-1 θ=135  degree θ=3π4…