#1, Given the plane curve ŕ (t) =(x(t), y(t))=(-sint, 2 cos²+)=ㅠ(a) Find the exact coordinates ofthe point Po on the curve when5π and sketch it. (Note.t=6The approximate x-coordinate is 3.86).y4 5x5 6 7 8 ×Find the velocity vector √(t)==(t) (for any moment of time t),(c) Find the exact components ofthe velocity vector v(t) when t=5π.Sketch it, on the graph, applied 6at the point Po. (Note (2) (4.2,1.73)(d) Find the equation of the tangentline to the curve at Po. Use exact values.

Step 1: Step 2: Step 3: Step 4:

Answered: #1, Given the plane curve ŕ (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

Problem 26E

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