Consider the parametric equations below. x = t2 - 3, y = t + 4, -3sts 3 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases. у 8 8 6 4 -6 -4 -2 -4 -2 4 6 y y 8 8 X -6 -2 2 4 -4 -2 4 6 (b) Eliminate the parameter to find a Cartesian equation of the curve. for 1 s ys7
Consider the parametric equations below. x = t2 - 3, y = t + 4, -3sts 3 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases. у 8 8 6 4 -6 -4 -2 -4 -2 4 6 y y 8 8 X -6 -2 2 4 -4 -2 4 6 (b) Eliminate the parameter to find a Cartesian equation of the curve. for 1 s ys7
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:Consider the parametric equations below.
x = t2 - 3, y = t + 4,
-3 <t< 3
(a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases.
y
y
8
8
4
4
2
X
-6
-4
-2
4
.4
-2
6
y
y
8
8
6.
2
6
-4
-2
4
-4
-2
4
(b) Eliminate the parameter to find a Cartesian equation of the curve.
for 1 < y < 7
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