Investigation Consider the function in Exercise 14.(a) Sketch a graph of the function

Chapter 15, Problem 54

(choose chapter or problem)

Investigation   Consider the function in Exercise 14.

(a) Sketch a graph of the function where u is held constant at u = 1. Identify the graph.

(b) Sketch a graph of the function where v is held constant at \(v=2 \pi / 3\). Identify the graph.

(c) Assume that a surface is represented by the vector-valued function r = r(u, v). What generalization can you make about the graph of the function if one of the parameters is held constant?

Text Transcription:

v=2 pi/3

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