Cylindrical and Spherical Coordinates - Math
1Cylindrical and Spherical Coordinates 2We can describe a point, P, in three different Coordinatesx = r cos r = x2 + y2y = r sin tan = y/xz = zz = zSpherical Coordinatesx = sin cos = x2 + y2 + z2y = sin sin tan = y/xz = cos cos = x2 + y2 + z2z3Easy Surfaces in Cylindrical Coordinatesa) r =1b) = /3c) z = 4Easy Surfaces in Spherical Coordinatesa) =1b) = /3c) = /44EX 1Convert the Coordinates as indicateda) (3, /3, -4) from Cylindrical to ) (-2, 2, 3) from Cartesian to 2Convert the Coordinates as indicateda) (8, /4, /6) from Spherical to ) (2 3, 6, -4) from Cartesian to 3Convert from Cylindrical to Spherical Coordinates . (1, /2, 1)7EX 4Make the required change in the given ) x2 - y2 = 25 to Cylindrical ) x2 + y2 - z2 = 1 to Spherical ) = 2cos to Cylindrical 4Make the required change in the given equation (continued).
2 We can describe a point, P, in three different ways. Cartesian Cylindrical Spherical Cylindrical Coordinates x = r cosθ r = √x2 + y2 y = r sinθ tan θ = y/x z = z z = z Spherical Coordinates
Download Cylindrical and Spherical Coordinates - Math
Information
Domain:
Source:
Link to this page:
Please notify us if you found a problem with this document: