Consider r(t) = (2t, 3 sint, 3 cost). a. Find the equation of the tangent line to the curve at the point ( b. Find the unit tangent vector T(t) when t = 3 Find the length of the curve from t to +- 2 π 3√√2 3√/2 22 2
Consider r(t) = (2t, 3 sint, 3 cost). a. Find the equation of the tangent line to the curve at the point ( b. Find the unit tangent vector T(t) when t = 3 Find the length of the curve from t to +- 2 π 3√√2 3√/2 22 2
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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Transcribed Image Text:Consider r(t) = (2t, 3 sint, 3 cost).
a. Find the equation of the tangent line to the curve at the point (
b. Find the unit tangent vector T(t) when t = 3
C. Find the length of the curve from t = 1 to t = 3
π 3√/2 3√2.
:)
}
2' 2 2
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