roblem 1: onvert from rectangular to polar form: a) 2 + 2v3i b) 3- 4i =) V3 - i

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.

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Q: Convert the following point from spherical to rectangular coordinates: 5, 3'3 - (x, Y, z) = Usage:…

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Q: 9. Convert the rectangular coordinates (-1,2, –1) to spherical coordinates

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

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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: Consider the point (1, 7/4, t/3) in spherical coordinates. (a) Plot the point, labeling each length…

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

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

Q: pont are 2u3,-205) Find two sits of polar oordinates for the point with the rectang ular coordinates…

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Q: convert from spherical to rectangular coordinates  (5,3π/4 ,π/4)

A: 5, 3π4, π4Spherical coordinates:(r, θ, ϕ)

Q: express in polar coords with: Cりり me point whose Ty-Coords are a.r>o and OsoL2

A: Introduction: The polar coordinates r,θ of rectangular coordinates (x,y) in two-dimensional…

Q: 1-Write two examples about converting from polar form (r.) to rectangular form (x,y)

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

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Q: Convert the rectangular coordinates (5,-5√3) to polar form. Letr> 0and 0 <0<2TT.

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Q: What are the rectangular coordinates of the point with polar coordinates (r, 0) = (2, 45°)?

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

A: x,y,z=0,2,3We have to calculate the spherical coordinates.As we know that cartesian to spherical…

Q: Convert from polar coordinates to rectangular (2.5, 17?/ 4 ).

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Q: Draw the polar region {(r, θ): 1 ≤ r ≤ 2, 0 ≤ θ ≤ π/2}. Why is it called a polar rectangle?

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: convert from rectangular to spherical coordinates.  (√2/2 ,√2/2 ,√3)

A: Consider the given rectangular coordinate point x, y, z=22, 22, 3 We have to convert it into…

Q: Convert the point from rectangular coordinates to spherical (3, 0, 0) (p, 8, 4) = ( %3D

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Q: Transform (0, 5, 2) from rectangular into spherical form (here z is any negative number).

A: given rectangular coordinates is of the form (x, y, z) are (0,5,z) Now we are going to find…

Q: Convert (–1, /3, 2/3) from rectangular to spherical coordinates

A: GIven coordinates are -1, 3, 23 We need to convert these to spherical coordinates  For rectangle…

Q: If a point is represented as (x,y) in the Cartesian plane and (r,0) in the polar plane, then 0 = tan…

A: A point in cartesian plane is (x,y) and (r,θ) in the polar coordinate, then θ=tan-1yx.

Q: convert from rectangular to spherical coordinates.  (1, 1, 1)

A: To convert: From rectangular 1,1,1 to spherical. Concept used: Convert rectangular coordinate x,y,z…

Q: 2- Write two examples about converting from rectangular (x,y) to polar form(r.)

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Q: 23) convertthe Polar Coordinate (3,315) to rectaugular coondinate

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Q: Cannot solve

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Q: Find the rectangular coordinates of the point whose spherical coordinates are given. (a) (3, 0, 0)…

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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: What is the minimum angle of rotation (in degrees) that will carry the six-sided star onto itself: I…

A: It is a 6 sided star that means it will redivided into 3 parts:⇒ we divide 360°( full rotation ) by…

Q: Write down the parametric equetions |3D 4=6-t in cartesion Form

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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: The rectangular coordinates for the polar points [4, is 2 o (-4, 0) (0, 4) o (0, -4) o (4, 0)

A: We have to find

Q: Convert (5, t/6, t14) from spherical to rectangular coordinates.

A: Solution is given below

Q: In rectangular coordinates, each point in the plane is named by a unique ordered pair, (x, y). That…

A: yes you are correct. In polar coordinates system we can assume a point as (r,theta)

Q: Please help me with this problem

A: Parametric equation:

Q: Convert from rectangular to spherical coordinates 3 3 2 (p, 6, ф) %3D

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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: 1. Convert from polar coordinates to rectangular (−3,360°)

A: Note:-  second question is incomplete so we solve question 1 for you please repost other question…

Q: * Convert (5, /6, w/4) from spherical to rectangular coordinates.

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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: Plot uie points with polar coordinates (3, –n) and -6, 3 *) using the pencil. 2 4. 6.

A: The polar co-ordinates are of the form (r,θ)  To plot the polar points it is necessary to find  θ…

Q: 5) (2,0°) -3 (4) 7) 4 ---22 -1 2 + 21 -1 D | x

A: We know that if r, θ is the polar coordinates then the rectangular coordinates is r cos θ, r sin θ.

Q: What are the polar coordinates of the rectangular coordinates (2, –2/3)? (2, ) 11T 6 (4, ) 57 3 (4,…

A: we have given the rectangular coordinates which is in quadrant 4 . We have to find the polar…

Q: Convert the ordered pair in polar coordinates to rectangular coordinates.

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Q: Convert the point from spherical coordinates to rectangular coordinates. 9, Tt, 2 (х, у, 2) %3

A: There are three coordinate systems and one coordinate system can be converted to other using the…

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

A: Consider the provided question, Given, Cartesian coordinate point (3, 2, 1). We need to convert into…

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

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