Investigation Consider the function on the intervals and (a) Find a set of parametric

Chapter 13, Problem 35

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Investigation Consider the function on the intervals and (a) Find a set of parametric equations of the normal line and an equation of the tangent plane to the surface at the point (b) Repeat part (a) for the point (c) Use a computer algebra system to graph the surface, the normal lines, and the tangent planes found in parts (a) and (b). (d) Use analytic and graphical analysis to write a brief description of the surface at the two indicated points.

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