Convert from polar to rectangular coordinates: (a) (3, 플) (zy) 6. (b) (3, 풍) (zy) ) (c) (2, 플) (1,y)

Q: Convert from polar to rectangular coordinates (0, 7/7) (Round your answer to 2 decimal places where…

A: Part iGiven,            0,π2

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

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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: Convert the point -5.0. 5) from rectangular coordinates to spherical coordinates. ㅇ (V10,0, 풍) 15.0.…

A: Convert point from rectangular to spherical coordinates : Suppose point in rectangular coordinates…

Q: Convert the point from spherical coordinates to rectangular coordinates. (9, - =) (x, y, z) =

A:

Q: Convert the point from cylindrical coordinates to rectangular coordinates.

A:

Q: Convert the point from rectangular coordinates to cylindrical coordinates.

A: Convert the point from rectangular coordinates to cylindrical coordinates.(1,√3,4)

Q: What is a cycloid? What are typical parametric equations for cycloids? What physical properties…

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Q: Convert the point (r, 0) from Polar to Rectangular Coordinates (x, y). 1. (3, 7/6)

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Q: Convert the point from spherical coordinates to rectangular coordinates. (.) ',ה ,8 (x, y, z) =

A: Convert the point from spherical coordinates

Q: How do I rewrite the cartesian equation y = 5x2 as a polar equation? r(θ) = ???

A: Concept: In polar coordinates, x=rcosθ,y=rsinθ and x2+y2=r2 Here, the objective is to express the…

Q: 9. Identify the surface whose equation in spherical coordinates is given by

A: We have to solve given to problem:

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

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Q: Convert the point (−7, 0, 5) from cylindrical coordinates to rectangular coordinates

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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 rectangular coordinates to spherical coordinates. (-1, 2, 1)

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Q: Convert the rectangular equation (z+3)´ + (y + 13)*= 178 into a polar equation. No spaces. Use @for…

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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 the point from cylindrical coordinates to spherical coordinates. 4 (ρ, θ, φ)

A: Explained below

Q: .CI. 5. Convert rectangular equation; y2 - 8x - 16 = 0 to polar equation. r =?

A:

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: Use parametric equations to derive the formula for the surface area of a sphere of radius a.

A: We know that parametric equations of the sphere, x=acosθsinϕy=asinθsinϕz=acosϕ So parametric vector…

Q: Find parametric equations for a circle of radius 2, centered at (3, 5).

A: Solution:Given    radius of the circle=r=2centre of the circle(h,k)=(3,5)To find the parametric…

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

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Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. x= 5 y= f10…

A: Write the following parametric equation in cartesian equation

Q: Convert from cylindrical to spherical coordinates.

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

Q: rt the point from rectangular coordinates to spherical (-3, -3, V2) 1) , 4) =

A:

Q: What are the rectangular coordinates of the point whose spherical coordinates are (2, 응까, -3짜) ? x =…

A:

Q: What is the polar equation of a circle of radius Va? + b centered at (a, b)?

A: General equation of a circle is given by - x-h2+y-k2 = r2              ..............(1)where,h, k =…

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

A: Solution is given below

Q: Convert the point (√3, 1, 0) from Cartesian to spherical coordinates.

A:

Q: Explain how a pair of parametric equations generates a curve in the xy-plane.

A: Our Aim is to explain the fact that how a pair of parametric equationsgenerates a curve in the…

Q: Please help me with this problem

A: Parametric equation:

Q: Convert the point from spherical coordinates to rectangular coordinates. (2플) (х, у, 2) -

A:

Q: Convert the point (2, −2, −4) from rectangular coordinates to cylindrical coordinates.

A: We have to convert the rectangular coordinates of coordinate 2, -2, -4 to cylindrical coordinates.…

Q: 3. What is the parametric equation for the line through the point (1,2,3) parallel to the y - axis?

A:

Q: Describe in polar coordinates the line segment that has "(x, y) = (3, 1)" and "(x, y) = (6, 2)" as…

A: The cartesian to polar form can be written as: (r,θ) Where, r=x2+y2 and θ=tan-1yx

Q: Determine the parametric equations of the path of a particle that travels the circle:

A: Given,        (x-4)2+(y-3)2=49 Time interval is 0≤t≤2π

Q: Convert the point (-√3,0. √√3) from rectangular coordinates to spherical coordinates.

A:

Q: Convert the point from cylindrical coordinates to spherical coordinates. (6, 7, 8) (р, в, ф) -

A: Given: Now, we need to convert the point from cylindrical coordinates to spherical coordinates. We…

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…