Pre-Calc Homework Solutions 318

Pre-Calc Homework Solutions 318 - 318 8. Chapter 7 Review x...

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Unformatted text preview: 318 8. Chapter 7 Review x y 1 implies y (1 x)2 1 2 x x. 12. [ 0.5, 2] by [ 0.5, 1] 1 2 , 3 2 by [ 3, 3] The area is 0 (1 2 x x) dx x 1 . 6 4 3/2 x 3 1 2 x 2 1 0 The area is (2 sin x 0 sin 2x) dx 2 cos x 1 cos 2x 2 4. 0 13. 9. x 2y 2 implies y x . 2 [ 5, 5] by [ 5, 5] [ 1, 19] by [ 1, 4] The curves intersect at x 2.1281 2.1281 2.1281. The area is (4 x 2 cos x) dx, 8.9023. The curves intersect at x 18 18. The area is 18 4 x 3/2 which using NINT evaluates to 14. 3 0 3 x dx 2 3x 2 3 y 3 3 3 2 18, 0 or 10. 4x x 0 2y 2 dy y2 18. 0 4 implies x 4. 1 2 y 4 1, and 4x y 16 implies [ 4, 4] by [ 4, 4] 1 y 4 The curves intersect at x 0.8256 0.8256. The area is (3 0.8256 x sec2 x) dx, 2.1043. which using NINT evaluates to [ 6, 6] by [ 6, 6] 15. Solve 1 The curves intersect at (3, 5 4 5 4 cos x 2 cos x for the x-values at the two 2 3 4) and (5.25, 5). The area is ends of the region: x , i.e., dy symmetry of the area: 7 /3 5 7 or . Use the 3 3 1 y 4 4 1 2 y 4 1 2 y 4 1 y 4 1 2 y 8 38 3 1 5 dy 5 2 2 [(1 7 /3 cos x) (2 1) dx cos x)] dx 2 2 (2 cos x x 1 3 y 12 425 24 5y 4 2 2 sin x 30.375. 16. /3 7 /3 2 243 8 2 5 /3 3 [(2 5 /3 2 3 1.370. (1 cos x)] dx 11. cos x) (1 /3 2 cos x) dx 5 /3 /3 x [ 0.1, 1] by [ 0.1, 1] /4 2 sin x 3 4 3 2 1 2 x 2 2 7.653 /4 The area is 0 (x sin x) dx cos x 0 2 2 32 1 0.0155. ...
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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.

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