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Unformatted text preview: 2 E 0.8241 (cos x 2 x 2 ) dx 2 < k (1.0948) k < 1.8269. 44. (a) Solve for y: } a x 2 2 } 1 } b y 2 2 } 5 1 y 2 5 b 2 1 1 2 } a x 2 2 } 2 y 5 6 b ! 1 2 } a x 2 2 } (b) E a 2 a 3 b ! 1 2 } a x 2 2 } 2 1 2 b ! 1 2 } a x 2 2 } 24 dx or 2 E a 2 a b ! 1 2 } a x 2 2 } dx or 4 E a b ! 1 2 } a x 2 2 } dx (c) Answers may vary. (d, e) 2 E a 2 a b ! 1 2 } a x 2 2 } dx 5 2 b 3 } 2 x } ! 1 2 } a x 2 2 } 1 } a 2 } sin 2 1 } a x } 4 5 2 b 3 } a 2 } sin 2 1 (1) 2 } a 2 } sin 2 1 ( 2 1) 4 5 p ab 45. By hypothesis, f ( x ) 2 g ( x ) is the same for each region, where f ( x ) and g ( x ) represent the upper and lower edges. But then Area 5 E b a [ f ( x ) 2 g ( x )] dx will be the same for each. a 2 a 1 a 3 } } 4 3 } a 3 a Section 7.2 299...
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This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.
 Spring '08
 GERMAN

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