coordinates. (Let r ≥ 0 and 0 ≤ ? ≤ 2?.) (a)    (−3, 3, 3) (b)    (−7, 7(31/2), 7)

Q: Convert the point from cylindrical coordinates to rectangular coordinates. (9, T, 8) (x, у, 2) %3D

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Q: The conversion formulas from cylindrical coordinates (r,θ, z) to rectangular coordinates (x, y,…

A: The conversion formulas from cylindrical coordinates r, θ, z to rectangular coordinates x, y, z are…

Q: The cylindrical coordinates of the point with rectangular coordinates (-V2, -v2, v2) are (v2, , V2).…

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Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

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

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Q: Express the point given in Cartesian coordinates in cylindrical coordinates (r, 0, z). A (예), 에(¥),…

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Q: Convert from rectangular to cylindrical coordinates. (6, 2 /3,3) (Use symbolic notation and…

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Q: The location of a point on the Cartesian coordinate system (x,y,z) is (4,5,6). Using the location in…

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Q: Convert the point from rectangular coordinates to cylindrical coordinates. (7, -7, 2) (r, 0, z) = (

A: Given x = 7, y = -7, z = 2

Q: Find parametric equations for the path of a particle that moves along the circle x2 + (y – 2)² = 64…

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Q: expressed in cylindrical coordinates, is (v2, -7, 0). What are the Cartesian (rectangular) coor 1,…

A: We will express the cylindrical coordinates in Cartesian coordinates.

Q: Change from rectangular to cylindrical coordinates. (a) (3, 3, 4) (r, 0, z) =

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: uestion 4 Find an equation of the sphere that passes through the origin and whose center is (-6, –…

A: Given equation of sphere passes through origin and centre at (-6,-7,6) Now we have to find the…

Q: Change from rectangular to cylindrical coordinates. (Let r > 0 and 0 < 0 < 27.) (a) (-6, 6, 6) 3n…

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Q: Find parametric equations of the normal line to x² the surface z = + y? 4 at the point (2, -3, 10)

A: Given curve

Q: Use cylindrical coordinates to evaluate V9-x² r9-x²-y² a² dz dy dx -3 J- 9-x² Jo Do not forget to…

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Q: Change from rectangular to cylindrical coordinates. (a) (0, -4, 5) (r, 0, z) = (b) (-7,7/3, 3) (r,…

A: The relation between the Rectangular coordinates x, y, z and Cylindrical coordinates r, θ, z is…

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

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Q: Find the distance between the skew lines with parametric equations x = 3 + t, y = 1 + 6t, z = 2t,…

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Q: Change from cylindrical coordinates to rectangular coordinates 0 =- 3 O None of the others O y = -3…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find a set of parametric equations for the line passing through the point (7, o, 9) that is parallel…

A: Parametric equation of line in 3D

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. (6v2, -6V2, 4) (r, 0, z)…

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Q: Find the sphere's center and radius. 9x2 + 9y? + 9z2 – 18x + 54y + 74 = 0 center (x, y, z) radius

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Q: 1. (x² + y² +z²)®/2: cylindrical, spherical, or Cartesian? List the conversion factors needed to…

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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: the Cartesian coordinates of the point with cylindrical coordinates (r, 0, z) = (4, T,6) %3D (x, y,…

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

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Q: Convert the point from rectangular coordinates to cylindrical coordinates. 11. (0,5,1) 12.…

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

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Q: Change from rectangular to cylindrical coordinates. (Let r 2 0 and 0 s 0 s 2t.) (a) (4, -4, 5) (42,…

A: a). Given rectangular coordinates are

Q: Find parametric equations for the line through the point (0, 2, 2) that is parallel to the plane x +…

A: Here we have to find the parametric equation of the line through the point 0,2,2 that is parallel to…

Q: Change from rectangular to cylindrical coordinates. (Let r 2 0 and 0 < 0 < 2n.) (a) (5, –5, 2) (b)…

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

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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 cylindrical coordinates to rectangular coordinates. 3, 4 2 (х, у, 2) 3D

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Q: One set of cylindrical coordinates of the point with the rectangular coordinates (2, 2, 4) is:…

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Q: Volumes Find the volumes of the solids in Exercises 43-48. 43. 44. z 1-r z = 4 - 4 (x² + y?) ano z =…

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Q: Convert the point from rectangular coordinates to cylindrical coordinates., (9, 3/3, -8) (r, 0, z) =

A: Cylindrical coordinate - r,θ,z where, r=x2+y2   and   θ=tan-1yx.

Q: 2. Rotating around a vertical axis: y = 4x -x2, y = 3 and rotated about x = 1.

A: We have to find point of intersection and draw the region bounded , Then rotate the region about x=1…

Q: 2. Use parametric equations to derive the formula for the lateral surface area of a right circular…

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Q: One set of cylindrical coordinates of the point with the rectangular coordinates (2, 2, 4) is:…

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Q: Change from rectangular to cylindrical coordinates. (Let r 2 0 and 0 s 0 s 2.) (a) (-1, 1, 1) -,1 4…

A: a) We use the rectangular to cylindrical coordinate formula r2=x2+y2r2=(-1)2+12r2=2r=2…

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

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Q: Determine the points of intersection of the line with parametric equations L: x= 2t + 7 , y= 3t - 1,…

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Q: Convert the point from rectangular coordinates to cylindrical coordinates. (7, –7, 2) ( 0,7,2 (r, 0,…

A: Given point is (7,-7,2) The rectangular coordinates are related to the cylindrical coordinates by…

Q: Give an equation of a sphere of radius 5, centered at the origin, in: 1. rectangular coordinates 2.…

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Q: | If the relation between the cylindrical coordinates xi and the rectangular Cartesian coordinates…

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Q: (3) Find parametric equations for the line of intersection of the planes. x + y - z = 2 and y + z =…

A: Given equation of the planes are  x+y-z=2     y+z=0 we rewrite them as x+y-z-2=0, and    0x+y+z=0…