Solved: Parametrized Surfaces Just as you describe curves

Chapter 13, Problem 78CE

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Parametrized Surfaces Just as you describe curves in the plane parametrically with a pair of equations x=f(t),y=g(t) 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 Many computer algebra systems permit you to plot such surfaces in parametric mode. (Parametrized surfaces are discussed in detail in Section 15.5.) Use a CAS to plot the surfaces in Exercises 77–80. Also plot several level curves in the xy-plane.

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