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

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 rectangular coordinates of the point whose cylindrical coordinates are given. a) (3, pi,…

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Q: Describe how the surface with spherical equation p²(1 + A cos² ¢) = 1 depends on the constant A.

A: Given : ρ2(1+Acos2ϕ)=1To describe: How the surface with spherical equation  ρ2(1+Acos2ϕ)=1depends on…

Q: 5. a) Convert points P(1,3,5), T(0,–4,3), and S(-3,-4, –10) from Cartesian to cylindrical and…

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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: Given the point (V3, ,-1) in cylindrical coordinates, what are the spherical coordinates (p, p, 0)…

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Q: If the spherical coordinates (p, 0, ) of a point P are (1, 0,), then the Cartesian (rectangular)…

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

A: The spherical coordinates of the point x, y, z is ρ, θ, ϕ where ρ = x2+y2+z2 θ = cos-1zr ϕ = tan-1yx

Q: A point has cylindrical coordinates (r, 0, z) = (2, ,2/3). co .Convert to spherical coordinates.…

A: Given cylindrical coordinate is r,θ,z=2,π6,23 ∴ r=2  θ=π6z=23

Q: "s): The cylindrical coordinates of the point that has spherical coordinates (5, п /4,2п/3)is

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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: Consider a point in Cartesian coordinates given by (3√√/3, −3, −8). (a) Find a corresponding…

A: The given Cartesian coordinates are: (x,y,z)=(33,-3,-8) Now, the Cylindrical coordinates is given…

Q: 2. Convert 1,1, 2 |from rectangular coordinates to spherical coordinates. a. e. я я 2. 4' 2 4' 4 (2)…

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Q: If we convert the point (p, 0, 6) = (6,7/6, 5T/6) from spherical to cartesian coordinates, we obtain

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Q: 2.1 Convert the following Cartesian points to cylindrical and spherical coordinates: (a) P(2,5, 1)…

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Q: 9. Show that for a ± 0, the equation p = 2a sino cos 0 in spherical coordinates describes a sphere…

A: Given :  The equation ρ = 2 a sin ϕ  cosθ  .   To determine: The equation ρ = 2 a sin ϕ  cosθ  in…

Q: Express the following points in cylindrical and spherical coordinates: (а) Р(1, — 4, — 3) | (b) Q(3,…

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

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Q: Which of the following is the spherical coordinates of the point (0, 3, 1) which is given by…

A: In spherical coordinates  r= sqrt(x2+y2+z2). Theta= arctan (sqrt(x2+y2)/z). phi = arctan(y/x)

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

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Q: 1. Convert the point (-1,1, v2) from Cartesian to spherical coordinates. (a) (VZ. VZ) (b) (1., vZ)…

A: To convert the point (-1,1,√2) from cartesian coordinates to spherical coordinates.

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

A: We have to find the coordinates

Q: (d) Convert the following point from rectangular to spherical coordinates: -3/6 -3/6 -3 2 (р, 6, Ф)…

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Q: Which of the following is the spherical coordinates of the point (1, /3, 2/3) which is given by…

A: Explained below

Q: p = 4 cos 0 sin

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

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

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Q: a) Convert points P(1, 3, 5), T(0, -4, 3), and S(-3, -4,-10) from Cartesian to cylindrical and…

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Q: Find the rectangular, cylindrical and spherical coordinates of point P shown in the figure.

A: Spherical coordinates is Rectangular coordinates is cylindrical coordinates is

Q: Convert the point (x, y, z) = ( – 5, 1, – 1) to 6. spherical coordinates. Give answers as positive…

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Q: Identify the surface whose equation in spherical coordinates is given by p = 2 cos o %D

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Q: Which of the following is the spherical coordinates of the point (0, V3, 1) which is given by…

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Q: Find the Cartesian coordinates of the point (6, 4. VIT) given in cylindrical coordinates

A: First we have to determine (r,∅,z) then calculate respective Cartesian co-ordinates

Q: Find an equation in spherical coordinates whose graph is the parapoloid Z=(X^2)+(Y^2)

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

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Q: Convert the point (z, Y, z) = (5, – 5, 1) to spherical coordinates. Give answers as positive values,…

A: The given point is                               (x, y, z)=(5, -5, 1). Cartesian to spherical…

Q: Find the rectangular coordinates of the point (G) which is in spherical coordinates.

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

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

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Q: 9. Convert from cylindrical to spherical coordinates (a) ( /3 , t/6, 3) (b) (1, t/4, -1) (c) (2,…

A: According to our guidelines, In case of questions with multiple subparts we are supposed to answer…

Q: Convert the following point from rectangular to spherical coordinates: -5/2 -5/6 -5/2 4 4 (p, 0, 4)…

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Q: Which of the following is the spherical coordinates of the point (0, V3, 1) which is given by…

A: We will use the conversation formulae from rectangular to spherical coordinates.

Q: Convert the following point from rectangular to spherical coordinates: ( -3/2 -3/6 (p, 0, $) =…

A: The given rectangular coordinates are x,y,z=-322, -362, -32

Q: Čonvert the point (x, y, z) = (1, – 5, 3) to - spherical coordinates. Give answers as positive…

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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: Convert the following point from spherical to rectangular coordinates: (17) - 4 4 (x, y, z) =

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Q: (a) Convert points P(1, 3, 5), T(0, -4, 3), and S(-3,-4,-10) from Cartesian to cylindrical and…

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