The following points are given in cylindrical coordinates; express each in rectangular coordinates and spherical coordinates. Cylindrical (r, 0, z) (1, 45°, 9) (3-4) ( (0, 45°, 9) Rectangular (x, y, z) Spherical (ρ, θ, φ) DIC DIC

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

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Q: Which of the following is the cylindrical coordinates of (-1, -/3,2)? O a. (2, 품, 2) O b.(2, – 5, –…

A: Explanation of the answer is as follows

Q: Suppose that a point P has, respectively, spherical coordinates, rectangular coordinates, and…

A: The coordinates of point P is given as , Rectangular coordinates = x,y,z Spherical coordinates =…

Q: Convert the point (p, 0, þ) = (2V2, 4' 6 2v2. 플, 증) to rectangular coordinates (x, y, z). What is…

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Q: Verify that dV = p sin o dp de dy when using spherical coordinates. %3D

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Q: Convert the following point from rectangular to cylindrical coordinates: (4, –4v3, 10). (r, 0, z) =

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Q: cimals to at least one decimal place,

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Q: At the point C(6, 22°,5), a vector A is expressed in cylindrical coordinates as 20ar - 30ao+ 18 az.…

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Q: Convert the point (x, y, z) = (5, -1, 5) to cylindrical coordinates. Give answers either as…

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Q: (a) Plot the point with cylindrical coordinates (2, 27/3, 1) and find its rectangular coordinates.

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Q: Convert the point (x, y, z) = (2, 1, — 4) to cylindrical coordinates. Give answers either as…

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

A: Solution:-

Q: (b) Convert from Cartesian coordinates to spherical coordinates. Give exact answers (no decimals),…

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Q: Change from rectangular to spherical coordinates. (a) (0, -√3, 1) (p.0.0) =(√10 (6) (4.4, 4√6)…

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Q: Change the following spherical coordinates to cylindrical coordinates (4, π/3, π/3).

A: We have to change the spherical coordinates (4 , π/3 , π/3) to cylindrical coordinates.

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