Find dy dx and dx2 and find the slope and concavity (if possible) at the given value of the parameter. (If an answer does not exist, enter DNE.) Parametric Equations x = et, y = e-t Point t = 3

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 45CT
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Question
Find dy
dx
and
dx2
and find the slope and concavity (if possible) at the given value of the parameter. (If an answer does not exist, enter DNE.)
Parametric Equations
x = et, y = e-t
Point
t = 3
Transcribed Image Text:Find dy dx and dx2 and find the slope and concavity (if possible) at the given value of the parameter. (If an answer does not exist, enter DNE.) Parametric Equations x = et, y = e-t Point t = 3
Expert Solution
Given,

Calculus homework question answer, step 1, image 1

Differentiating with respect to t, we get

Calculus homework question answer, step 1, image 2

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