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).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 20E
Question
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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