Find the spherical equation of the Cartesian equation x2 + y? +(z - 23)2 = 23?. o a. rho = 23 cos (phi) o b. rho = 46 sin(phi) O c.rho = 23 sin(phi) o d. rho = 46 cos (phi)

Q: Find the spherical equation of the Cartesian equation x2 + y2 +(z - 81)2 = 812. o a. rho = 81 cos…

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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…

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

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Q: Find an equation in rectangular coordinates for the cylindrical equation r = 5 cos(0)

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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: Write the equation in spherical coordinates. (a) 7z2 = 5x2 + 5y2 (b) x2 + 2z2 = 7

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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: Find the spherical equation of the Cartesian equation x? + y? +(z - 56)2 = 56?. o a. rho = 56…

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Q: 5. Use spherical coordinates to evaluate /16--2² Not √16¬x² / √x² +yª √x² + y² + z² dz dy dr.

A: The given problem is to evaluate the given triple integral by converting the Cartesian coordinates…

Q: and an equation in cylindrical coordinates for the equatic = 25x²+25y²-2

A: topic:- coordinate system

Q: find an equation in spherical coordinates for the equation given in rectangular coordinates x^2 +…

A: We have to find spherical coordinates form

Q: Write the equations in cylindrical coordinates. (a) 7x + 5y +z 2 z-2-(5 sin(0) +7 cos(8)) (b) -3x-3y…

A: To convert the given equation to cylindrical coordinates we have to put the value., x = rcosθ y =…

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: 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: For spherical polar coordinate system 1 Z -Zr Zr 3/2 4/2 a exp(-()sin OCoso 2a px a V WmdV = 8 = ?…

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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: 4-72-2 2. z dz dy dx 3r2+3y2 from Cartesian coordinates to spherical coordinates.

A: Given Integral is converted from Cartesian to Spherical Coordinates

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: Write the equation in spherical coordinates. (a) z2  = x2 + y2

A: Given the equation:

Q: Write the equations in cylindrical coordinates. (a) 3x² – 6x + 3y2 + z² = 5 z = 7x2 – 7y2

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

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Q: II. Determine the number of solutions of the right Spherical triangle 1. b= 42°18' B = 42°18'

A: Given: b=42°18' B=42°18'   To determine: The number of solutions of the given right spherical…

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

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Q: please don't skip any steps

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

Q: 4-x²-y² ) Use spherical coordinates to evaluate ,L /x² + y² + z²dzdydx.

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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: Answer TRUE or FALSE Cartesian coordinates equations of x² +(y-1)² =1 is r=2 sin0 in cylindrical…

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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: 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: 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…