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# exam1W10 - MATH 216 FIRST MIDTERM EXAM Please write your...

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MATH 216 FIRST MIDTERM EXAM February 15, 2010 Please write your name: Section: The test contains 8 problems worth 100 points total. To get the full credit you have to show your work . 14 Problem Points Score 12 1 2 3 4 12 5 12 14 6 7 12 Total 100 8 12 12 Typeset by A M S -T E X 1

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Name: ( 12 points ) 1. Problem. Find all solutions y ( x )o fthed i±erent ia lequat ion y ± = y 2 sin x. 2
Name: ( 12 points ) 2. Problem. Match the equations below with their slope felds on the next page. 1 .y ± =s in x Figure 2 ± y Figure 3 ± = yx Figure 4 ± = y/x Figure 5 ± = x 2 + y 2 Figure 6 ± = y 2 - x 2 Figure 3

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E 0 y(x) x F 0 y(x) x C 0 y(x) x D 0 y(x) x A 0 y(x) x B 0 y(x) x 4
Name: ( 14 points ) 3. Problem. Arumorisspreadinginavillageof1400people. Initially , 350 people picked up the rumor on the radio and after t days altogether x ( t )peop le have heard the rumor. In 10 days, 560 people heard the rumor. How many people will have it heard in 20 days? Assume that the rate at which x ( t )growsisproport iona ltotheproducto fthe number of people who have heard the rumor and the number of people who haven’t.

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exam1W10 - MATH 216 FIRST MIDTERM EXAM Please write your...

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