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 (This curve is known as a nephroid, meaning “kidney shaped.”)
(b) Graph the surface inR3 whose cylindrical equation is
(c) Graph the surface in R3 whose spherical equation is
(d) Graph the surface in R3 whose spherical equation is
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