Find the rectangular coordinates of the point, whose cylindrical coordinates are given. (a)    (8, ?/4, 3) (b)    (6, −?/3, 7)

Q: Convert the point from cylindrical coordinates to rectangular coordinates. 9. (-7,0,5) 10. ()

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Q: Cartesian to cylindrical and spherical coordinate

A: Given point p(0, -4, 3) The relation between rectangular co-ordinates (x, y, z) and cylindrical…

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: onvert the point from rectangular coordinates to cylindrical ordinates and to spherical coordinates.…

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

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

Q: Find parametric equations and a parameter interval for the motion of a particle that starts at the…

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Q: Convert the point (1, π/3 , 1) from cylindrical to spherical coordinates. Show solutions. Choices:…

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Q: 1. Convert the point (-1,1, v2) from Cartesian to spherical coordinates.

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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: Write the equations for converting from cylindrical torectangular coordinates. In what situation…

A: Part (a) When to use: If you have a problem with cylindrical symmetry Example: the magnetic field…

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 (a) cylindrical coordinates and (b) spherical…

A: To Determine: convert the point from rectangular coordinates (8, 8, 1) a) cylindrical coordinates b)…

Q: Convert from rectangular to cylindrical coordinates. (1, √3, 7)

A: Given: 1,3,7 To convert rectangular form to cylindrical co-ordinate.

Q: Plot the point whose cylindrical coordinates are given. Then find the rectangular coordinates of the…

A: a)Given Cylindrical coordinates 9,-π2,2 Plot the points in graph Cylindrical coordinates is of the…

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

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Q: Find parametric equation of the line passing through point (4,2) and parallel to vector 7 = -i+5j.

A: Given: A line passes through the point (4, 2). The line is parallel to the direction vector…

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

A: Explained below

Q: Express cylindrical coordinates in terms of spherical coordinates

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

A: The Cartesian coordinate system provides a straightforward way to describe the location of points in…

Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

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Q: Convert the point from rectangular coordinates to cylindrical coordinates. (9, 3/3, -7) (r, ө, z)

A: We have to find

Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

A: The given equation of circle at (a,0) is The general parametric equation of circle is where x,y…

Q: Convert from cylindrical to rectangular coordinates. (0, π/5, 1/2)

A: x=r cos θy=r sin θcoordunates are 3,π/4,1

Q: find parametric equations for the lines with the given description.  Perpendicular to the yz-plane,…

A: To find parametric equation perpendicular to yz plane passes through (0,0,2)

Q: Convert from cylindrical to spherical coordinates.

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

Q: Find an equation for the plane y=3 in cylindrical coordinates

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

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Q: If point P has rectangular coordinates (-1, /3, -12), then its cylindrical coordinates are (r, 0, 2)…

A: I am attaching image so that you understand each and every step.

Q: Write the equation of a sphere of radius 3 in all three coordinates--cartesian, cylindrical, and…

A: It is given that the radius of sphere is 3 .We have to find the equation of sphere in all three…

Q: Find parametric equations of the line containing the .point (2, 3,-1) and normal to the plane x+…

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Q: Find the rectangular coordinates of the point, whose cylindrical coordinates are given. (а) (3, п,…

A: Given cylindrical coordinatesa  3,π,3eb 5,3π/2, 5

Q: Convert the point from cylindrical coordinates to rectangular coordinates. 3, 4 2 (х, у, 2) 3D

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Q: Find parametric equations for the line that passes through the point  (5, 2) and is parallel to the…

A: we have to find parametric equations for the line that passes through the point  (5, 2) and is…

Q: Find parametric equations for the lines in The line through the point (3, -2, 1) parallel to the…

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Q: 6. Find the distance between the point (- 3, 2, 1) and the line with parametric equations x = 3 –…

A: Consider a point on the line (3-2t, 1-t, -3t) which is the foot of the perpendicular to the point…

Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

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Q: (3,-를기 (b)

A: Solution is below

Q: Find parametric equations for the line formed by the intersection of planes x+y-z=3 and 3x-y+3z=5.

A: First we find a point on the intersection of these planes with the plane z=0. And next find the…

Q: spherical coordinates arc

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Q: Find parametric equation of a helix radius 5 from a point (5, 0 ,0) to a point (0, 5, 1)

A: Given that the radius of the helix is R=5. We know that the parametric equation of helix is given…

Q: Convert the point from rectangular coordinates to cylindrical coordinates. (6, 2/3, -6) (r, 0, z) =

A: Conversion can be done as below :

Q: Find the parametric equations of the line that is perpendicular to the plane 2x +y +3z = 4 and goes…

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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: Find the distance between point A(3, 4, 4) and the line of parametric equations x = -1-t, y = -t, z…

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