Calculus by the Light of the Moon Problem

# Calculus by the Light of the Moon Problem - GROUP WORK I...

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Unformatted text preview: GROUP WORK I, SECTION I l.4 Calculus by the Light of the Moon Ah, the crescent moon. It shines bright in the night sky, causing people all over the world to experience it in their own personal way. Long-time married couples remember all the evenings spent in love, and kiss gently. Thieves and murderers curse its revealing light as they go about their horrid business. Astronomers, kind and scholarly, foray into observations of its dark shadow, subconsciously hoping to learn more about their own. And mathematicians think of ways to model it and ﬁnd its area. I. Describe and graph the polar curves r = 2 cos 6 and r = «[2: 2. Compute the area of the region inside r = 2 cos 0 and outside r = ﬂ 3. Compute the area of the region inside r 2 \/§ and outside r = 2 cos 0. 624 ...
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