6. Convert from cylindrical to rectangular coordinates (a) (4, π/6, 3) (b) (8, 3π/4, -2) (c) (5, 0, 4) (d) (7, t, -9) 7. Convert from rectangular to spherical coordinates (a) (1,√3,-2) (b) (1,-1, √√2) (c) (0, 3√3, 3) (d) (-5√3, 5, 0) 8. Convert from spherical to rectangular coordinates (a) (5, π/6, π/4) (b) (7, 0, π/2) (c) (1, л, 0) (d) (2, 3π/2, π/2) 9. Convert from cylindrical to spherical coordinates (a) (√3, π/6, 3) (b) (1, π/4, -1) (c) (2, 3π/4, 0) (d) (6, 1, -2√3) 10. Convert from spherical to cylindrical coordinates (a) (5, π/4, 2π/3) (b) (1,7π/6, л) (c) (3, 0, 0) (d) (4 7/6 π/2)

6. Convert from cylindrical to rectangular coordinates (a) (4, π/6, 3) (b) (8, 3π/4, -2) (c) (5, 0, 4) (d) (7, t, -9) 7. Convert from rectangular to spherical coordinates (a) (1,√3,-2) (b) (1,-1, √√2) (c) (0, 3√3, 3) (d) (-5√3, 5, 0) 8. Convert from spherical to rectangular coordinates (a) (5, π/6, π/4) (b) (7, 0, π/2) (c) (1, л, 0) (d) (2, 3π/2, π/2) 9. Convert from cylindrical to spherical coordinates (a) (√3, π/6, 3) (b) (1, π/4, -1) (c) (2, 3π/4, 0) (d) (6, 1, -2√3) 10. Convert from spherical to cylindrical coordinates (a) (5, π/4, 2π/3) (b) (1,7π/6, л) (c) (3, 0, 0) (d) (4 7/6 π/2)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?

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