Let ~r(t) = hsint - tcost,t',cost + tsinti.(a) Find the unit tangent to this curve when t = n/2. (b) Find the arclength of this curve from t =0 to t = 3.

Given that r(t)=hsint-tcost,t2,cost+tsint a)find the unit tangent of this curve at t=π2 b) find the…

Answered: Let ~r(t) = hsint - tcost,t,cost +…

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Let ~r(t) = hsint - tcost,t,cost + tsinti. (a) Find the unit tangent to this curve when t = n/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.

Chapter5: Graphs And The Derivative

Section5.1: Increasing And Decreasing Functions

Problem 44E: Where is the function defined by f(x)=ex increasing? Decreasing? Where is the tangent line...

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Question

Let ~r(t) = hsint - tcost,t',cost + tsinti.
(a) Find the unit tangent to this curve when t = n/2.

(b) Find the arc
length of this curve from t =0 to t = 3.

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