Parametrized Surfaces Just as you describe curves in the plane parametrically with a pair of equations x = f(t), y = g(f) defined on some parameter interval I, you can sometimes describe surfaces in space with a triple of equations x = f(u, v), y = g(u, v), z = h(u, v) defined on some parameter rectangle a < us b, c < v s d. Many computer algebra systems permit you to plot such surfaces in para- metric mode. (Parametrized surfaces are discussed in detail in Section 16.5.) Use a CAS to plot the surfaces in Exercises 77-80. Also plot several level curves in the xy-plane. 77. x = u cos v, y = u sin v, z = u, 0

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