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Unformatted text preview: t t t y t v and its position when t = 1 is 5 ) 1 ( = y . a. On what interval(s) (of time t ) is y increasing? On what interval(s) is y decreasing? b. What is the position (value of y ) when t = 5? c. What is the particle's acceleration when t = 1? Name Page 2 of 3 Hour Test 2 Teaching Assistant 22 October 2009 4. a. Sketch the region that lies in the first quadrant and is bounded by the line x y + = 4 , the yaxis, and the parabola 2 2 x y + = . b. Calculate the area of the region described in part a . Name Page 3 of 3 Hour Test 2 Teaching Assistant 22 October 2009 ANSWERS 1. a. ) sin( ) ( ' 2 x e x F x= , ( 29 ) cos( ) sin( 2 ) ( ' ' 2 x x e x F x +=b. i. C x x +4 4 1 ii. 2 iii. 2 1 2. π 3 108 = r , 3 108 = l , 216 3 108 ' '= V is negative, so we have found a maximum. 3. a. Increasing on ) 3 1 , ( ∞and on ) , 1 ( ∞ . Decreasing on ) 1 , 3 1 ( b. 85 ) 5 ( = y c. 2 ) 1 ( ' ' = y 4. a. . b. 3 16 = A...
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 Fall '08
 N/A
 Math

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