Sets in cylindrical coordinates Identify and sketch the following sets in cylindrical coordinates.
11.
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- 2 Sketch the parametric surface x = Vu“ +v , y = u, z = v. luarrow_forwardThe following points are given in cylindrical coordinates; express each in rectangular coordinates and spherical coordinates. Cylindrical (r, 0, z) (1, 45°, 9) (3, 1,-4)|( 2 (0, 45°, 9) (5,, 12) ( 6 (1,2,0) 3π 4 -1 -6 Rectangular (x, y, z) DIC DIC DIC DIC DIC DIC Spherical (ρ, θ, φ) Crookarrow_forwardIdentify the center and radius for each. r? + y? = 49 x² + y? = 324 x² + (y + 2) = 64 (r + 2)² + y² = 64 (1 – 5)² + (y – 3)² = 144 (z+1) + (y – 10)? = 100 :: Center: (0, 2), r = 8 : Center (-1, 10), r = 10 : Center: (-2, 0), r = 8 :: Center: (1, – 10), r = 10 :: Center: (0, 0), r = 18 : Center: (5, 3), r = 12 : Center: (2, 0),r = 8 : Center. (0, 0), r = 7 : Center (-5,-3), r = 12 : Center (0, -2), r = 8arrow_forward
- Convert the following point from cylindrical to rectangular coordinates: (10.-) 4 (x, y, z) Usage: To enter a point, for example (x, y, z), type "(x, y, z)".arrow_forwardFind a parametric representation of the cone /3x² + 3y² Z. = in terms of parameters p and 0, where (p, 0, p) are spherical coordinates of a point on the surface. X = Edit y = Edit Edit =2arrow_forwardExpress the plane z = x in cylindrical and spherical coordinates.arrow_forward
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