Consider the curve where a =0 (a) Compute(t) at t = [0, +∞). (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, +∞).
Consider the curve where a =0 (a) Compute(t) at t = [0, +∞). (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, +∞).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Consider the curve
r(t) = ((a + 1)t, 3 cos (2t), 3 sin(2t)) with t€[0,+∞).
where a =0
d
(a) Compute = 7 (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].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb3eb6f5-ad7a-4565-9bbe-4e7695b0b0f2%2F9d7ea883-42d2-4053-820c-59500a508f9f%2Fld1jkvl_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the curve
r(t) = ((a + 1)t, 3 cos (2t), 3 sin(2t)) with t€[0,+∞).
where a =0
d
(a) Compute = 7 (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].
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