Find the spherical equation of the Cartesian equation x? + y? +(z - 56)2 = 56?. o a. rho = 56 sin(phi) o b. rho = 112 cos (phi) O c.rho = 112 sin(phi)

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: b.) √4-1²-² √3x²+3y² TEN nates. z dz dy dx from Cartesian coordinates to spherical coordi-

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Q: 1) Use spherical coordinates to evaluate 4-x² -y² 4-x2-y2 4-y² LaSNa- y²/x² + y² + z² dzdxdy

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

Q: 6. (a) (2/3, 2, 1) (b) (4, 3, 2)

A: We have to find the cylindrical coordinates

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

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Q: write the equation in spherical coordinates a) 3x2 − 4x + 3y2 + 3z2 = 0

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

A: Given, Triple integral is

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

Q: 4-x²-y² 1 Evaluate ²4-y² So coordinates. x²+y²+z² dzdxdy by using spherical or cylindrical

A: Here we can use spherical coordinates to find the value of the integral. In spherical coordinates…

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: Convert the rectangular equation to an equation in cylindrical coordinates and to an equation in…

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Q: Q1. L is) Find the rectangular coordinates for the point (1,, 4,4) which is given in spherical…

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Q: Which of (a)–(c) is the equation of the cylinder of radius R in spherical coordinates? Refer to…

A: According to the given information it is required to write the equation of the given cylinder in…

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

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Q: Write the equation in spherical coordinates. (a) 5z2 = 8x2 + 8y2 (b) x2 + 3z2 = 7

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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: 5. Given the parameter 7, constants a and c, show that the parametric equations: X(+) = (cosh () –…

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Q: This question has several parts that must be completed sequentially. If you skip a part of the q…

A: We have to find

Q: write the equation (a) in cylindrical coordinates and (b) in spherical coordinates, please? x^2 -…

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

A: Explanation of the answer is as follows

Q: Express the point given in Cartesian coordinates in spherical coordinates (p, 0, ¢). Note: you…

A: given cylinderical coordinates (a) 946,942,922 (B) -946,942,922 (c) 946,-942,922 claim- convert into…

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

A: We have to convert spherical coordinate into Cartesian coordinates.

Q: Write the equation in spherical coordinates. (a) 5z2 = 8x2 + 8y2 (b) x2 + 3z2 = 7

A: Any point in the rectangular coordinate system is represented as x, y, z. Any point in the spherical…

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: 5. Find the spherical coordinates of the point with rectangular coordinates (2, –2, 2/2).

A: We have to convert rectangular coordinates to spherical coordinates.

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 equation z = 1 x² 1 is given in Cartesian coordinates. Convert the equation to spherical V 3 3…

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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: 1) Use spherical coordinates to evaluate 4-y² c4-x²-y² 4-x2-y2 Li L y²/x² + y² + z² dzdxdy

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Q: Convert the rectangular equation to an equation in cylindrical coordinates and spherical…

A: Solution: The objective is to convert the rectangular equation to an equation cylindrical…

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 cylindrical coordinates. (a) 7x2 - 8x + 7y2 + z2 = 7 (b) z = 2x2 – 2y²

A: We have to find cylindrical form of the given equation.

Q: 5. Find the rectangular coordinates of the point (2, 5, ) which is in spherical coordinates.

A: Please note that as per guidelines I am answering the first one that is number 5 only.

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

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Q: Jo Jo Jo x + 2 5. Use spherical coordinates to evaluate AV16-1² 00O00 ..law

A: By using spherical coordinate

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

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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 the spherical equation of the Cartesian equation x2 + y? +(z - 23)2 = 23?. o a. rho = 23 cos…

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Q: Write the equation in spherical coordinates. (a) 5z2 = 8x2 + 8y2 (b) x2 + 3z2 = 7

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

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Q: Vrite the equation in spherical coordir (a) 5z2 = 8x2 + 8y? %3D

A: In this question, the cartesian coordinate system is transformed into the spherical coordinate…

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: The Cartesion Coordinates and and sPherical Coordinates Can be related to cylindrical 月True D False

A: We have to solve given problem:

Q: Match the equation (written in terms of cylindrical or spherical coordinates)  = 5, with its graph.

A: Solution: Consider the general equation of the sphere is x-a2+y-b2+z-c2=r2 we have a relationship…

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: YouTrylt 4 Find the spherical coordinates of the point with rectangular coordinates 3 3

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Q: (6) Let P be the point (1, 1,1) in Cartesian coordinates.

A: our objective is to find the coordinates of p in different co-ordinate system.

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

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

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