Convert from rectangular to spherical coordinates (a) (1, /3, -2) (b) (1, -1, /2) (c) (0, 3/3 , 3) (d) (– 5/3 , 5, 0)

Q: Convert the point from cylindrical coordinates to rectangular coordinates. 9. (-7,0,5) 10. ()

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Q: Cartesian to cylindrical and spherical coordinate

A: Given point p(0, -4, 3) The relation between rectangular co-ordinates (x, y, z) and cylindrical…

Q: Explain how spherical coordinates are used to describe a point in ℝ3.

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Q: Convert the coordinates P, (3,"/2,n) from spherical coordinates to cylindrical coordinates.

A: Any point on the spherical coordinate system is represented by (ρ, θ, φ). Any point on the…

Q: Find the spherical coordinates of the point that has rectangular coordinates (x, y, z) = (4,−4, 4 √…

A: Find the spherical coordinates of the point that has rectangular coordinates (x, y, z) = (4,−4, 4 √…

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 point (ρ , θ , φ) =(3, π/6 , π/3)from spherical to cylindrical coordinates

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

Q: Sketch the set of points (described in spherical coordinates). ρ = 2, 0 ≤ φ ≤ π/2

A: GIVEN we need to sketch ( spherical coordinates)  condition ρ = 2, 0 ≤ φ ≤ π/2

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: Convert the point from cylindrical coordinates to rectangular coordinates.

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Q: Convert from spherical to rectangular coordinates. (3, 0, π/2)

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Q: 12. Convert the rectangular coordinates (-1,3,5) to cylindrical coordinates

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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: Convert the point (1, π/3 , 1) from cylindrical to spherical coordinates. Show solutions. Choices:…

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Q: Convert the point from rectangular coordinates to spherical coordinates. (4, 0, 0) (p, e, 4) = (

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Q: What are the formulas for the conversion of rectangular to cylindrical coordinates?

A: We have to write conversion formula for the conversion of rectangular to cylinderical coordintaes.

Q: Convert the point from spherical coordinates to rectangular coordinates. (6. ) (x, y, z) =

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Q: Mathematically proven that the planet is spherical in shape?

A: A planet is round because of gravity. A planet's gravity pulls equally from all sides. Gravity pulls…

Q: What are the cylindrical coordinates of the point whose spherical coordinates are (3, 5, 1)? r = 0 =…

A: Given: spherical coordinates ρ,θ,φ, here ρ=3,θ=5φ=π6 To find : cylindrical coordinates r, θ, z

Q: Convert from rectangular to cylindrical coordinates. (1, √3, 7)

A: Given: 1,3,7 To convert rectangular form to cylindrical co-ordinate.

Q: Convert the point(/6, 2) from cylindrical to spherical coordinates.

A: The cylindrical coordinates is given. We know that the cylindrical coordinate of a point in the…

Q: 1. Convert | 1,-/3, 3 from rectangular coordinates to cylindrical coordinates

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Q: Convert from rectangular to cylindrical coordinates (a) (4 /3 ,4, -4)

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Q: 2. Convert the following from Spherical Coordinates to Cylindrical and Cartesian Coordinates: (b)…

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Q: Provide the equation of a sphere of radius 5, centered at the origin, in: 1. rectangular coordinates…

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Q: Find the position of a point given as (5, 2π/3, 2) in cylindrical coordinates, in cartesian and…

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Q: Convert the point (x,y,z)=(3,−1,−3) to spherical coordinates. Give answers as positive values,…

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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: 2. Convert the point (V6, , V2 ) from cylindrical to spherical coordinates. (a) (V2,플, ) (b) (vz. )…

A: Option C is correct answer.

Q: Express cylindrical coordinates in terms of spherical coordinates

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Q: Find the rectangular coordinates of the point, whose cylindrical coordinates are given. (a) (4, n/4,…

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Q: Convert the point from rectangular coordinates to cylindrical coordinates. (6v2, -6V2, 4) (r, 0, z)…

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Q: Convert the point (x,y,z)=(−3,−3,5) to spherical coordinates. Give answers as positive values,…

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Q: Convert from cylindrical to spherical coordinates.

A: Given cylindrical coordinate (4,0,4) Now compare above coordinate with cylindrical coordinate (r, θ…

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: 1.Convert (0,√3,−1) from Cartesian coordinates to spherical coordinates.

A: We will find spherical coordinates from cartesian coordinated.

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

A: We have to find the coordinates

Q: Consider the Cartesian coordinate point (3,2,1) Convert to cylindrical coordinates.

A: Given: The cartesian coordinates 3,2,1 To determine: The cylindrical coordinates corresponding to…

Q: The point given below is in spherical coordinates. Convert the point to cylindrical coordinates. (4,…

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Q: Find the rectangular coordinates of the point whose spherical coordinates are given. (a) (1, 0, 0) -…

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Q: Convert the point from cylindrical coordinates to spherical coordinates. (-4.플 ) (р, 6, ф) %3D

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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: Convert the point (x, y, z) = (- 5, – 2, 4) to spherical coordinates. Give answers as positive…

A: We have to find the spherical coordinate

Q: 5. Convert from rectangular to cylindrical coordinates (b) (-5,5,6) (c) (0,2,0) (d) (4, -4 /3,6 )

A: We have to convert the rectangular coordinates to cylindrical coordinates.

Q: Convert the rectangular equation x2 + y2 + z2 = 27 to an equation in (a) cylindrical coordinates and…

A: Given: Rectangular equation x2 + y2 + z2 = 27

Q: Convert the point from rectangular coordinates to cylindrical coordinates. (7, –7, 2) ( 0,7,2 (r, 0,…

A: Given point is (7,-7,2) The rectangular coordinates are related to the cylindrical coordinates by…

Q: Convert the point (x, y, z) = (-4, 1, 2) to spherical coordinates. Give answers as positive values…

A: Given ' (x, y, z) =(-4,1,2).

Q: Show the derivation of formula for the conversion from spherical coordinates to rectangular…

A: Rectangular coordinates can be written in spherical coordinates as follows: x=ρ cos θ sin ϕy= ρ sin…