(a) Find the unit tangent vector on the curver(t) = [cos(t), -t, -4sin(3t)] when t = 0.(b) Evaluate the integral1S² (-4²7 +38²³7 • 31 ²7 F) α²4ti +dt3t+10

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Answered: (a) Find the unit tangent vector on the…

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 26E

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(a) Find the unit tangent vector on the curve r(t) = [cos(t), -t, -4sin(3t)] when t = 0. (b) Evaluate the integral 1 √(-4² 7 + 3²³²7 + 3² + 1 F) d² k 0 3t+1