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.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 12T
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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.
Notes
梦
P
303
5/21/
41
iort sc
AA
delete
home
80
backspace
num
lock
%D
home
K
enter
BNM
pause
7 shift
elt
ctri
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. Notes 梦 P 303 5/21/ 41 iort sc AA delete home 80 backspace num lock %D home K enter BNM pause 7 shift elt ctri
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