Exercises 38–43 are made feasible through the use of appropriate software for graphing in polar, cylindrical, and spherical coordinates. (Note: When using software for graphing in spherical coordinates, be sure to check the definitions that are used for the angles φ and θ .)
(a) Graph the curve in R2 whose polar equation is r = θ.
(b) Graph the surface inR3 whose cylindrical equation is r = θ.
(c) Graph the surface in R3 whose spherical equation is ρ = φ.
(d) Graph the surface in R3 whose spherical equation is ρ = θ, where
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