Let C be a curve with the parametric equations à = − ln(t + 1); y = sint, t = [0, 1]. a. Set-up the integral that will give the length of C. b. Determine (algebraically) if C is concave up or down at the point where t = 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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Let C be a curve with the parametric equations à = − ln(t + 1); y = sint, t = [0, 1].
a. Set-up the integral that will give the length of C.
b. Determine (algebraically) if C is concave up or down at the point where t = 0.
Transcribed Image Text:Let C be a curve with the parametric equations à = − ln(t + 1); y = sint, t = [0, 1]. a. Set-up the integral that will give the length of C. b. Determine (algebraically) if C is concave up or down at the point where t = 0.
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