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Problem 8. Sketch each parametrized curve r(t) on an interval including the point P. Sketch T and N at P. (A rough sketch is fine - in fact, you are not required to actually compute T or N.) a. r(t) = (cost, sin t), P = = (1, 0). b. r(t)=(t, et), P = (1,0). c. r(t) = (cost, sint, t), P = (-1, 0, π). d. r(t) = (sint, cost, t), P = (0, −1/π,π).

Problem 8. Sketch each parametrized curve r(t) on an interval including the point P. Sketch T and N at P. (A rough sketch is fine - in fact, you are not required to actually compute T or N.) a. r(t) = (cost, sin t), P = = (1, 0). b. r(t)=(t, et), P = (1,0). c. r(t) = (cost, sint, t), P = (-1, 0, π). d. r(t) = (sint, cost, t), P = (0, −1/π,π).

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Problem 8. Sketch each parametrized curve r(t) on an interval including the point P. Sketch T and N at P. (A rough sketch is fine - in fact, you are not required to actually compute T or N.) a. r(t) = (cost, sin t), P = = (1, 0). b. r(t)=(t, et), P = (1,0). c. r(t) = (cost, sint, t), P = (-1, 0, π). d. r(t) = (sint, cost, t), P = (0, −1/π,π).
Transcribed Image Text:Problem 8. Sketch each parametrized curve r(t) on an interval including the point P. Sketch T and N at P. (A rough sketch is fine - in fact, you are not required to actually compute T or N.) a. r(t) = (cost, sin t), P = = (1, 0). b. r(t)=(t, et), P = (1,0). c. r(t) = (cost, sint, t), P = (-1, 0, π). d. r(t) = (sint, cost, t), P = (0, −1/π,π).
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