1. (a) Sketch a curve represented by the parametric equations x = 1 - t² and y = 1+t. Then find a rectangular-coordinate equation for the curve by eliminating the parameter.
1. (a) Sketch a curve represented by the parametric equations x = 1 - t² and y = 1+t. Then find a rectangular-coordinate equation for the curve by eliminating the parameter.
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
Transcribed Image Text:1.
(a) Sketch a curve represented by the parametric equations x = 1-t and
y = 1+ t. Then find a rectangular-coordinate equation for the curve by
eliminating the parameter.
(b) Find parametric equations for the line of slope 2 that passes through the
point (3,5).
2.
(a) Sketch the graph of the parametric curve
x = 3 sin(t) + 3
y = 2 cos(t)
(0 <t < T)
(b) Eliminate the parameter t in part (a) to obtain an equation for this curve
in rectangular coordinates.
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