PART A Let x(t) = 5 cos(t) and y(t) = 3 sin(t) At t = 6, x(6)= = y(6) = speed (6) PART B Now, if we let r(t) = 5 cos(2t) and y(t) = = 3 sin(2t), we have the same path: And at t (3) = = = = = 3 y (3) Do you see how it's the same point as PART A? speed (3) = Is speed in PART B slower or faster than the speed in PART A? Select an answer ✓ ELLIPSE 2 ELLIPSE 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
PART A
Let x(t) = 5 cos(t)
and y(t) = 3 sin(t)
At t = 6,
x(6)= =
y(6)
=
speed (6)
PART B
Now, if we let r(t) = 5 cos(2t) and y(t) =
=
3 sin(2t), we have the same path:
And at t
(3) =
=
=
=
=
3
y (3)
Do you see how it's the same point as PART A?
speed (3) =
Is speed in PART B slower or faster than the speed in PART A?
Select an answer ✓
ELLIPSE
2
ELLIPSE
2
Transcribed Image Text:PART A Let x(t) = 5 cos(t) and y(t) = 3 sin(t) At t = 6, x(6)= = y(6) = speed (6) PART B Now, if we let r(t) = 5 cos(2t) and y(t) = = 3 sin(2t), we have the same path: And at t (3) = = = = = 3 y (3) Do you see how it's the same point as PART A? speed (3) = Is speed in PART B slower or faster than the speed in PART A? Select an answer ✓ ELLIPSE 2 ELLIPSE 2
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