Pre-Calc Homework Solutions 297

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

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

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 ...
View Full Document

## 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.

Ask a homework question - tutors are online