Pre-Calc Homework Solutions 297

Pre-Calc Homework Solutions 297 - Section 7.2 22 Solve for...

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Unformatted text preview: Section 7.2 22. Solve for y: y Now solve 4 x4 4x 2 5 4 4x 2 (x 2 4x 2 and y x4 1: 5) 1. The curves intersect at x Use the region's symmetry: 1 297 x4 1. 27. 1)(x 2 0. [ 1.5, 1.5] by [ 1.5, 1.5] The curves intersect at x = 0 and x 1. Use the area's symmetry: [(4 1 2 0 4x 2) (x 4 4x 2 1)] dx 2 5) dx 1 1 sin 0 x 2 x dx 2 2 4 2 1 2 cos x 2 2 1 2 x 2 1 0 2 2 2 0 ( x4 1 5 x 5 1 5 4 3 4 3 x 3 5x 0 0.273 5 0 28. Use the region's symmetry, and simplify before integrating: /4 104 15 6 14 15 2 3 y2 y and x y2 2 :y 4 2 0 (sec2 x /4 tan2 x) dx (sec2 x /4 23. Solve for x: x Now solve 3 y2 . 4 2 2 0 [sec2 x dx 2 x 1)] dx /4 0 4, 2. 0 2 so the curves intersect at y Use the region's symmetry: 2 29. Use the region's symmetry: /4 2 0 3 y 2 y2 dy 4 2 2 0 3 3y 2 dy 4 y3 4 2 0 2 0 (tan2 y tan2 y) dy /4 4 0 tan2 y dy /4 2 3y 2(6 24. 0 4 tan y 0 8 1 cos 2x 2 y 0 2) 4 1 4 4 /2 4 0 0.858 (2 sin x sin 2x) dx 2 cos x 2 1 2 0 2 1 2 30. 0 3 sin y cos y dy 3 3 0 2 (cos y)3/2 3 2 3 /2 0 25. Use the region's symmetry: /3 2 0 (8 cos x sec x) dx 3) 0] 6 2 /3 2 2 8 sin x 3 tan x 0 31. Solve for x: x y 3 and x y. 2[(4 3 26. [ 1.5, 1.5] by [ 1.5, 1.5] [ 1.1, 1.1] by [ 0.1, 1.1] The curves intersect at x 1 0 and x 2 y2 1 2 1. Use the area's 1 4 y 4 1 0 The curves intersect at x cross at x 1 0 and x 1, but they do not symmetry: 2 ( y 0 y 3) dy 1 2 0. x2 1 3 x 3 1 3 2 0 1 cos 2 2 x 2 x 2 dx 1 0 2 x 2 1 sin 0 4 3 4 0.0601 ...
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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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