For each plotted curve, find parametric equations that describe it: (write letters in corresponding boxes; there will be one unused set of equations) (a) r(t) = 1²-1, y(t)=t+1, -2≤t≤2 (b) r(t) = 2 cost, y(t) = 1-4 cos²t, 0≤t≤a (c) r(t) = t², y(t) = sin(t²), 0≤t≤2 y(t)=2 sint, (d) r(t) = 2 cost, (e) r(t) = 2 sint, (f) r(t) = 2 cost, (g) r(t) = 2 cost, 0≤tsa y(t) = 2 cost, 0≤tsa y(t) = 4 sint-3, 0≤t≤a y(t) = 4 sint - 2, 0≤t≤a Page 10
For each plotted curve, find parametric equations that describe it: (write letters in corresponding boxes; there will be one unused set of equations) (a) r(t) = 1²-1, y(t)=t+1, -2≤t≤2 (b) r(t) = 2 cost, y(t) = 1-4 cos²t, 0≤t≤a (c) r(t) = t², y(t) = sin(t²), 0≤t≤2 y(t)=2 sint, (d) r(t) = 2 cost, (e) r(t) = 2 sint, (f) r(t) = 2 cost, (g) r(t) = 2 cost, 0≤tsa y(t) = 2 cost, 0≤tsa y(t) = 4 sint-3, 0≤t≤a y(t) = 4 sint - 2, 0≤t≤a Page 10
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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Transcribed Image Text:For each plotted curve, find parametric equations that describe it:
(write letters in corresponding boxes; there will be one unused set of equations)
(a) r(t) = 1²-1, y(t)=t+1, -2≤t≤2
(b) r(t) = 2 cost, y(t) = 1-4 cos²t, 0≤t≤a
(c) r(t) = t²,
y(t) = sin(t²), 0≤t≤2
y(t)=2 sint,
(d) r(t) = 2 cost,
(e) r(t) = 2 sint,
(f) r(t) = 2 cost,
(g) r(t) = 2 cost,
0≤tsa
y(t) = 2 cost, 0≤tsa
y(t) = 4 sint-3, 0≤t≤a
y(t) = 4 sint - 2, 0≤t≤a
Page 10
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