Investigation Use a computer algebra system to graph thetorusfor each set of values of
Chapter 15, Problem 53(choose chapter or problem)
Investigation Use a computer algebra system to graph the torus
r(u, v) = (a + b cos v) cos ui + (a + b cos v) sin uj + b sin vk
For each set of values of a and b, where \(0 \le u \le 2 \pi\) and \(0 \le v \le 2 \pi\). Use the results to describe the effects of a and b on the shape of the torus.
(a) a = 4, b = 1
(b) a = 4, b = 2
(c) a = 8, b = 1
(d) a = 8, b = 3
Text Transcription:
0 <= u <= 2 pi
0 <= v <= 2 pi
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