#1, Given the plane curve ŕ (t) = (x(t), y(t))=(-sint, 2 cos²+) = ㅠ (a) Find the exact coordinates of the point Po on the curve when 5π and sketch it. (Note. t= 6 The approximate x-coordinate is 3.86). y 4 5 x 5 6 7 8 × Find the velocity vector √(t)= =(t) (for any moment of time t), (c) Find the exact components of the velocity vector v(t) when t=5π. Sketch it, on the graph, applied 6 at the point Po. (Note (2) (4.2,1.73) (d) Find the equation of the tangent line to the curve at Po. Use exact values.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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#1, Given the plane curve ŕ (t) =
(x(t), y(t))=(-sint, 2 cos²+)
=
ㅠ
(a) Find the exact coordinates of
the point Po on the curve when
5π and sketch it. (Note.
t=
6
The approximate x-coordinate is 3.86).
y
4 5
x
5 6 7 8 ×
Find the velocity vector √(t)=
=(t) (for any moment of time t),
(c) Find the exact components of
the velocity vector v(t) when t=5π.
Sketch it, on the graph, applied 6
at the point Po. (Note (2) (4.2,1.73)
(d) Find the equation of the tangent
line to the curve at Po. Use exact values.
Transcribed Image Text:#1, Given the plane curve ŕ (t) = (x(t), y(t))=(-sint, 2 cos²+) = ㅠ (a) Find the exact coordinates of the point Po on the curve when 5π and sketch it. (Note. t= 6 The approximate x-coordinate is 3.86). y 4 5 x 5 6 7 8 × Find the velocity vector √(t)= =(t) (for any moment of time t), (c) Find the exact components of the velocity vector v(t) when t=5π. Sketch it, on the graph, applied 6 at the point Po. (Note (2) (4.2,1.73) (d) Find the equation of the tangent line to the curve at Po. Use exact values.
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