6. For each of the following curves: sketch the graph of the oriented curves, find x'(0) and add a plot of that vector to your graph. (a) x(t) = (-3 cost) (b) bet), t€ [0] (Hint: what relation do x and y satisfy?) (3 cos t = (360st), 5 sin t x(t) = 6 te [0,27] (Hint: what relation do x and y satisfy?)
6. For each of the following curves: sketch the graph of the oriented curves, find x'(0) and add a plot of that vector to your graph. (a) x(t) = (-3 cost) (b) bet), t€ [0] (Hint: what relation do x and y satisfy?) (3 cos t = (360st), 5 sin t x(t) = 6 te [0,27] (Hint: what relation do x and y satisfy?)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![6. For each of the following curves: sketch the graph of the oriented curves, find x'(0) and add a plot
of that vector to your graph.
(a) x(t)
= (-³
=
(b) x(t) = =
3 sin t
), t≤ [047] (Hint: what relation do z and y satisfy?)
-3 cost
3 cos t
5 sin t
"
6
t = [0, 2π] (Hint: what relation do x and y satisfy?)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3306ea0d-0f79-489f-b4ee-38af79ef2243%2Fb7b65dd2-b977-4819-b87a-ee97118c45f7%2F3gup9g7_processed.png&w=3840&q=75)
Transcribed Image Text:6. For each of the following curves: sketch the graph of the oriented curves, find x'(0) and add a plot
of that vector to your graph.
(a) x(t)
= (-³
=
(b) x(t) = =
3 sin t
), t≤ [047] (Hint: what relation do z and y satisfy?)
-3 cost
3 cos t
5 sin t
"
6
t = [0, 2π] (Hint: what relation do x and y satisfy?)
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