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. Let C be the curve parameterized by r(t) = (t(1 – t)(1+t), t(1 – t)(2 − t)) where t = [0, 1]. (Note that C is a closed curve: r(0) = r(1) = (0,0).) Use Green's theorem to find the area of the region bounded by C.

. Let C be the curve parameterized by r(t) = (t(1 – t)(1+t), t(1 – t)(2 − t)) where t = [0, 1]. (Note that C is a closed curve: r(0) = r(1) = (0,0).) Use Green's theorem to find the area of the region bounded by C.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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1. Let C be the curve parameterized by r(t) = (t(1 – t)(1 + t), t(1 – t)(2 t)) where t = [0, 1]. (Note that C is a closed curve: r(0) = r(1) = (0,0).) Use Green's theorem to find the area of the region bounded by C.
Transcribed Image Text:1. Let C be the curve parameterized by r(t) = (t(1 – t)(1 + t), t(1 – t)(2 t)) where t = [0, 1]. (Note that C is a closed curve: r(0) = r(1) = (0,0).) Use Green's theorem to find the area of the region bounded by C.
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