1. Express the given parametric curve by an equation in x and (a) x = 8t²-5, y = 2t - 1, for t€ (-∞0, +∞0) (b) x=2 sint +1, y = 3 cost-2, for 0 ≤ t ≤ (c) x=2 sint + 1, y = 4 sint +3, for 0 ≤ t ≤ 2π 2

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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1. Express the given parametric curve by an equation in x and y, and then sketch the curve.
(a) x = 8t²-5, y = 2t - 1, for t€ (-∞0,
+∞0)
(b) x=2 sint + 1, y = 3 cost-2, for 0 ≤ t ≤ 2
(c) x=2 sint + 1, y = 4 sint + 3, for 0 ≤ t ≤ 2π
Transcribed Image Text:1. Express the given parametric curve by an equation in x and y, and then sketch the curve. (a) x = 8t²-5, y = 2t - 1, for t€ (-∞0, +∞0) (b) x=2 sint + 1, y = 3 cost-2, for 0 ≤ t ≤ 2 (c) x=2 sint + 1, y = 4 sint + 3, for 0 ≤ t ≤ 2π
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