4. Consider the curve given by r(t) = (e-t cos(t), e-t sin(t), 1- e-t), t = [0, 2π]. (a) Find the arc length L of this curve. (b) Find the points (if any) where the curve is parallel to the z-axis?
4. Consider the curve given by r(t) = (e-t cos(t), e-t sin(t), 1- e-t), t = [0, 2π]. (a) Find the arc length L of this curve. (b) Find the points (if any) where the curve is parallel to the z-axis?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 97E
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