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

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.3: Implicit Differentiation

Problem 29E

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Question

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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