parametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter. 1. x 3t- 1, y= 2t + 1 2. x = 212, y = r + 1 12 3. x = , y = 2 4. x = 12 +t, y = r² - t 5. x = Ji, y =1- 2 6. x = i, y= 3 -t
parametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter. 1. x 3t- 1, y= 2t + 1 2. x = 212, y = r + 1 12 3. x = , y = 2 4. x = 12 +t, y = r² - t 5. x = Ji, y =1- 2 6. x = i, y= 3 -t
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

Transcribed Image Text:In Exercises 1-16, sketch the curve represented by the
parametric equations (indicate the orientation of the curve),
and write the corresponding rectangular equation by
eliminating the parameter.
1. x 3t 1, y 2t + 1
2. x = 212, y = p + 1
12
3. x = , y=
4. x = 12 + t, y= 1? - t
5. x = Ji, y = t - 2
6. x = i, y = 3 - t
In Exercises 41-44, plot the point given in polar coordinates and
find the corresponding rectangular coordinates of the point.
41. (3.5)
117
42.
In Exercises 45 and 46, the rectangular coordinates of a point
are given. Plot the point and find two sets of polar coordinates
of the point for 0 s0 < 2T.
45. (4, -4)
46. (-1, 3)
In Exercises 59-62, convert the rectangular equation to polar
form.
59. (x2 + y)2 = ax?y
60. x2 + y? - 4.x = 0
%3D
62. (2² + y%{uwctan2)" = a²
61. x2 + y2 = a²( arctan
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