ind parametric equations for the line th o the given curve at the indicated point r(t) = e-(cos t)i+e-(sin t)j + А. A. x = 1- t, y = t, z = 1 - x = t, y = -t, z = 1 С. C. r=t - -1 2 -1+ B.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 20T
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5. Please read description and solve the problems
Find parametric equations for the line that is tangent
to the given curve at the indicated point.
r(t) = e-(cos t)i+e*(sin t)j+ e-k, t = 0
A. x = 1 - t, y=t, z = 1-t
%3D
В.
x = t, y= -t, z = 1
C. x = t, y = -1, z = 1+t
С.
D. x = -t, y =t – 1, z = t
Transcribed Image Text:Find parametric equations for the line that is tangent to the given curve at the indicated point. r(t) = e-(cos t)i+e*(sin t)j+ e-k, t = 0 A. x = 1 - t, y=t, z = 1-t %3D В. x = t, y= -t, z = 1 C. x = t, y = -1, z = 1+t С. D. x = -t, y =t – 1, z = t
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