Consider the curve where a is the last digit of your exam number. (a) Compute=7 (t) at t € [0, +∞). (b) Find the tangent line at the point (aπ, 3,0). (c) Find the length of the curve when t € [0, 2π]. (t) = ((a + 1)t, 3 cos (2t), 3 sin(2t)) with t= [0, +∞0).

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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Consider the curve
where a is the last digit of your exam number.
(a) Compute(t) at t = [0, +∞).
dt
(b) Find the tangent line at the point (añ, 3,0).
(c) Find the length of the curve when t = [0, 2π].
r(t) = ((a + 1)t, 3 cos (2t), 3 sin(2t)) with t€[0,+∞).
Transcribed Image Text:Consider the curve where a is the last digit of your exam number. (a) Compute(t) at t = [0, +∞). dt (b) Find the tangent line at the point (añ, 3,0). (c) Find the length of the curve when t = [0, 2π]. r(t) = ((a + 1)t, 3 cos (2t), 3 sin(2t)) with t€[0,+∞).
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