Consider the parametric equations below. x=t²-5, y =5-4t, -3 ≤ t ≤4 (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 -5 -10 15 10 5 -5 -10 -5 5 y 10 5 -10 10 5 X X (b) Eliminate the parameter to find a Cartesian equation of the curve. for -11 ≤ y ≤ 17 -10 -5 y 15 10 5 -5 -10 -5 15 10- 5 -10- 5 10 5 X X
Consider the parametric equations below. x=t²-5, y =5-4t, -3 ≤ t ≤4 (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 -5 -10 15 10 5 -5 -10 -5 5 y 10 5 -10 10 5 X X (b) Eliminate the parameter to find a Cartesian equation of the curve. for -11 ≤ y ≤ 17 -10 -5 y 15 10 5 -5 -10 -5 15 10- 5 -10- 5 10 5 X X
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 = t²5, y = 5-4t, -3 ≤t≤4
(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
-10
15
10
5
- 10
-5
5
y
10
5
-10
10
5
X
X
(b) Eliminate the parameter to find a Cartesian equation of the curve.
for -11 ≤ y ≤ 17
-10
y
15
10
5
-10
-5
15
10
5
-10
5
10
5
X
X
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