Problem 7. Consider the curve parametrized by F(t) = (3t², 2t³), t = [0,√3]. (a) Find the unit tangent vector T (t).

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
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Problem 7. Consider the curve parametrized by r(t) = (3t², 2t³), t € [0, √3].
(a) Find the unit tangent vector T(t).
(b) Find the length of the curve.
Transcribed Image Text:Problem 7. Consider the curve parametrized by r(t) = (3t², 2t³), t € [0, √3]. (a) Find the unit tangent vector T(t). (b) Find the length of the curve.
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