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Unformatted text preview: curves. a b Ex . Find the area of the region bounded by the parabolas 2 x y = and 2 2 x x y= . First find the intersection (endpoints). Look at the graph to determine which function is ) ( x f and which is ) ( x g . Ex . Find the area of the region enclosed by 2 y x = and 2= x y . Draw a sketch because we have two separate regions. [ ] ∫ ∫ ∫== b a b a b a dx x g dx x f A dx x g x f A ) ( ) ( ) ( ) ( 1 A 2 A (Note: 2 possible ways: Find endpoints in terms of x and integrate dx, or find endpoints in terms of y and integrate dy.) Assign: p. 417 # 517 odds, 27; Worksheet Kinematics #1820; p.448 #517 odds, 31, 33...
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This note was uploaded on 07/12/2011 for the course MATH 241 taught by Professor Kim during the Fall '08 term at University of Illinois, Urbana Champaign.
 Fall '08
 Kim
 Calculus, Slope

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