Convert the rectangular coordinate equation z = 19x? + 9y? into cylindrical and separately 9x² spherical coordinates: (a) Converting to cylindrial coordinates and isolating z , the equation is (b) Converting to spherical coordinates and isolating ¢ , the equation is

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: 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: Plot the point whose cylindrical coordinates are given. then find the rectangular coordinates of the…

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Q: Convert the point from rectangular coordinates to spherical coordinates. 13. (4,0,0) 14. (J3.1.2/3)

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Q: Convert from spherical to cylindrical coordinates (2, π/3, π/6)

A: Spherical to cylindrical (r,θ,ϕ)->(ρ,θ,Ζ)ρ=r sinϕθ=θz=r cosϕ

Q: Convert the spherical coordinates (4, 3'6, to cylindrical coordinates.

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Q: Convert the rectangular coordinate equation z = 9 into cylindrical and separately spherical…

A: To convert from rectangular coordinates (x, y, z) to cylindrical coordinates (r, θ, z), we will use…

Q: 9. Convert the rectangular coordinates (-1,2, –1) to spherical coordinates

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Q: Describe the position of the point (2, 0°, 30°) given in spherical coordinates.

A: The rectangular coordinates (x, y, z) and the spherical coordinates, (r, θ, ɸ) of a point are…

Q: Consider a point in Cartesian coordinates given by (-2, 2v3, 4). (a) Find the corresponding…

A: Given,

Q: Consider the Cartesian coordinate point (3,5, –7) Convert to spherical coordinates.

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

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Q: Consider the spherical coordinate point (3,1,) Convert to cylindrical coordinates.

A: we have the spherical coordinate point and convert into cylindrical coordinates

Q: 16-y Convert (z² + y² + z²)dzdrdy into spherical coordinates.

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Q: Consider a point in Cartesian coordinates given by (3√3, -3, -8). Find a corresponding spherical…

A: Solve the following

Q: Write the equations for converting from cylindrical torectangular coordinates. In what situation…

A: Part (a) When to use: If you have a problem with cylindrical symmetry Example: the magnetic field…

Q: . Convert the Cartesian coordinates (2, 2, 2) to Cylindrical and Spherical Coordinates

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Q: convert from rectangular to spherical coordinates.  (√2/2 ,√2/2 ,√3)

A: Consider the given rectangular coordinate point x, y, z=22, 22, 3 We have to convert it into…

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: 1. Convert the following from Cartesian Coordinates to Cylindrical and Spherical Coordinates: (a)…

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Q: C) Convert the equation 5x2 + 2y2 = 3z to spherical coordinates. %3D

A: Use the relation between and spherical coordinate and cartesian coordinates.

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

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

A: Given the equation:

Q: Convert the following from Spherical Coordinates to Cylindrical and Cartesian Coordinates: (a) (2, -…

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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 from rectangular to spherical coordinates. (√3, 0, 1)

A: To convert rectangular to spherical coordinates: 3,0,1 Solution: Point in rectangular coordinate is…

Q: Convert the point from rectangular coordinates to cylindrical coordinates and spherical coordinates.…

A: Given the rectangular coordinates as -3,3,-4 To find the cylindrical coordinates and spherical…

Q: convert from rectangular to cylindrical coordinates. (3, 3√3, 2)

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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: Convert the point from rectangular coordinates to cylindrical coordinates. 11. (0,5,1) 12.…

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Q: 2. Convert the cylindrical coordinates [2, 1/6, –2] to Cartesian coordinates and to spherical…

A: We have to find the coordinates

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: Which of the following is the spherical coordinates of the point (0, v3, 1) which is given by…

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

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Q: Translate the spherical equation below into both cylindrical and rectangular coordinates.…

A: Let x=r sinφ cosθ, y=r sinφ sinθ, z=r cosφ. Notice that xz=tanφ cosθ and yz=tanφ sinθ. Further,…

Q: Convert the cylindrical point (r, 0, z) = ( 3, 4 to rectangular coordinates. - 10

A: Here I am attaching image so that you understand each and every step.

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: Find the rectangular coordinates of the point, whose cylindrical coordinates are given. (а) (3, п,…

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Q: YouTrylt 3 Find the rectangular and cylindrical coordinates of the point with spherical ( 2, 7 /…

A: To convert the spherical to rectangular and cylindrical coordinates

Q: Find an equation equivalent to x²+ y² + 2z²+ 2z - 5 =0 in spherical coordinates.

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Q: Convert the point (x, y, z) = (0, - 3, - 2) to spherical coordinates. Give answers as positive…

A: To convert the given point into spherical coordinates (x,y,z)=(0,-3,-2)

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: 1. Convert the point (1,1, v2) from Cartesian to spherical coordinates. (a) (Vz. vz) (b) (1.#.v2)…

A: Option A is correct answer. Explanation is given below.

Q: C) Convert the equation 5x2 + 2y2 3z to spherical coordinates. %3D

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 11. Convert the cylindrical coordinates (4,,-2) to rectangular coordinates

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Q: Convert the rectangular equation x2 + y2 = 4y to an equation in (a) cylindrical coordinates and (b)…

A: Given- x2+y2=4y To find- An equation in (a) cylindrical coordinates and (b) spherical coordinates.…

Q: Convert the rectangular coordinates to both Spherical and cylindrical coordinates; A (-1, 1, −√2)

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Q: Convert the rectangular equation x2 + y2 + z2 − 2z = 0 to an equation in (a) cylindrical coordinates…

A: (a) Convert to  cylindrical coordinates as follows: Substitute x=rcosθ,y=rsinθ,z=z.…

Q: Consider the Cartesian coordinate point (3,5, –7) Convert to cylindrical coordinates.

A: we have to convert the Cartesian coordinates into cylindrical coordinates

Cylindrical Coordinate System

The distance from a selected reference axis, the direction from the axis relative to a selected reference direction, and also the distance from a selected reference plane perpendicular to the axis area unit, all accustom outline purpose positions in a cylindrical reference frame. Counting that the aspect of the reference plane faces the purpose, the latter distance is expressed as a positive or negative variety.