Which of the following is the spherical coordinates of the point (1, /3, 2/3) which is given by rectangular coordinates? О a.(2, п/2, п/3) O b. (4, п/3, п/3) О с (2, п/3, п/6) O d. (4, 1/2, 1/6) О e. (4, п/3, п/6)

Q: Convert the following point from rectangular to cylindrical coordinates: (-2, 2v3, 10). (r, 0, z) :

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

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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: Explain why in spherical coordinates the graph of = c is a half-plane and not an entire plane.

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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: 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: Which of the following is the rectangular coordinates of the point which is given by cylindrical…

A: Cylindrical (ρ,θ,z) to cartesian (x,y,z) conversion formula is -: x = ρ × cosθ  y = ρ × sinθ  z = z…

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

A: Cartesian (x,y,z) to spherical (r,δ,θ) conversion formula.   r = (x2+y2+z2)1/2 δ = tan-1(z/(x2+y2))…

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: Sketch the solid that has the given description in spherical coordinates           0 ≤   ≤ 2 , /4 ≤…

A: Concept: Calculus helps in understanding the changes between values that are related by a function.…

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

A: We are asked to convert  to spherical coordinates.

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

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Q: Convert to spherical coordinates and evaluate: 4-x2-y2 4-x2 -4²+x²+z?)² dzdy dx

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

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Q: Convert the point (x, y, z) = (2,2v3, 4) to spherical %3D coordinates (p, 0, 4).

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

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Q: Convert the following point from rectangular to cylindrical coordinates: (-2/3, 2, 3). (r, 0, 2)

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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: Identify the surface whose equation in spherical coordinates is given by p= 8 cos o

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Q: 5. Evaluate /9 z² y² yVx² + y? + z² dzdrdy by converting to spherical coordinates.

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Q: Evaluate by changing to spherical coordinates: /2–x²-y² xydzdydx x²+y2

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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: Derive the formula for the distance between points P1(p1,q1,z1) and P2(p2,q2,z2) given in spherical…

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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 rectangular coordinates of the point which is given by cylindrical…

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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: What are the rectangular coordinates of the point whose spherical coordinates are (1,,)? x = 0 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…

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Q: The following points are given in cylindrical coordinates; express each in rectangular coordinates…

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

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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: 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: Identify the surface whose equation in spherical coordinates is given by p = 8 cos %3D

A: The given equation in the spherical polar co-ordinates is ρ=8cosϕ. In spherical polar co-ordinates,…

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: 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: 5. Convert the integral 9-x2 9-x²-y² Vx? + y? + z² dzdydx to spherical coordinates then evaluate.

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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 point (x, y, z) : (5, 3, – 1) to spherical coordinates. Give answers as positive values,…

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Q: Which of the following is the rectangular coordinates of the point which is given by cylindrical…

A: Cylindrical to rectangular transformation is made by following rule,

Q: Find the formula for the distance between the points P1(a1,b1,c1) and P2(a2,b2,c2) given in…

A: First write the given coordinates in spherical coordinates. a1=r cosθsinϕb1=r…

Q: YouTrylt 4 Find the spherical coordinates of the point with rectangular coordinates 3 3

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

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