2. Consider the parametric equation r(t) = (1 – t°, t(1 – t)) where –1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2.
Consider the parametric equation r(t) = (1 – t°, t(1 – t2)) where –1 <t<1.
(a) Plot this curve by hand.
(b) What is the first value of t and last value of t so that this path is traversed in a
counterclockwise direction?
(c) Find the area inside this curve.
Transcribed Image Text:2. Consider the parametric equation r(t) = (1 – t°, t(1 – t2)) where –1 <t<1. (a) Plot this curve by hand. (b) What is the first value of t and last value of t so that this path is traversed in a counterclockwise direction? (c) Find the area inside this curve.
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