5. Find the spherical coordinates of the point with rectangular coordinates (2, –2, 2/2).

Q: Sketch the set of points (described in spherical coordinates). ρ = 4

A: Sketch the set of points (described in spherical coordinates). ρ = 4

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

A:

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

A:

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

A:

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: (3, 7 ) Convert the spherical point (p, 0, $) to Cartesian coordinates.

A:

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)…

A:

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

A:

Q: 2. Convert the point (V6, , v2 ) from cylindrical to spherical coordinates. (12등, ) (b) (vZ;. )…

A:

Q: Graph the surface whose spherical equation is p = 1– sino.

A: We use maple software to graph the given surface.

Q: Find the spherical coordinates of the point with Cartesian coordinates (4, −4, 4√6)

A:

Q: 8-a2-y By converting to spherical coordinates, evaluate 2² dz dx dy

A: Let us consider the rectangular coordinates (x,y,z) then the relation between spherical coordinate…

Q: What are the rectangular coordinates of the point whose spherical coordinates are (1, ½π, π) ? x = Y…

A:

Q: Convert the spherical point (p, 9, 0) into rectangular coordinates. (8, 0, z) (0 8-

A:

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

A:

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

A:

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

A:

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

A:

Q: The spherical coordinates of a point P are given by (2,). The rectangular coordinates of the point P…

A:

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

A:

Q: Find the rectangular coordinates of the point P with cylindrical coordinates (r, θ, z) = (5, 5π/4,…

A: Given, cylindrical coordinates (r, θ, z) = (5, 5π/4, 6)

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

A:

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

A:

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

A:

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

A:

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

A:

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

A:

Q: Express the point (x, y, z) = (-2, 2, 2/2) in spherical coordinates.

A:

Q: 2. Convert the point (V6, , v2) from cylindrical to spherical coordinates. (e) (2VZ,품, 끌) (d) (vZ )…

A: The solution is given as

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

A:

Q: find the spherical coordinate of that point has rectangular coordinates RADIA RAQIA UNIVERSITY (x,…

A: Given point in rectangular coordinates, (x, y, z)=(2, -2, 2)

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

A:

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

A:

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…

A:

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

A:

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

A:

Q: The spherical coordinates of a point P are given by (2, coordinates of the point P are -). The…

A: The relationship between the rectangular co-ordinate  (x,y,z) of the point P and its spherical…

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

A:

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: 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: 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

A:

Q: Identify the surface whose equation in spherical coordinates is given by p= 6 cos

A:

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

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