sol11-5 - 10 8 = 5 4 and 2 8 = 1 4 the solution for the...

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ANSWERS CHAPTER 11.5 MATH 132 WI01 4. ( -∞ , - 7] [2 , ) or x ≤ - 7 , x 2 18. ( -∞ , - 1) (0 , 1) or x < - 1 , 0 < x < 1 24. ( -∞ , - 0 . 5] or x ≤ - 0 . 5 28. Proof. After cutting a uniform strip of width x out of the forest we remain with an area of (1 - 2 x )(2 - 2 x ) of forest; hence we need to solve the inequality (1 - 2 x )(2 - 2 x ) = 2 - 2 x - 4 x + 4 x 2 = 2 - 6 x + 4 x 2 3 4 ⇐⇒ 4 x 2 - 6 x + 2 - 3 4 = 4 x 2 - 6 x + 5 4 0 solving the left-hand sided equation we get as solutions
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Unformatted text preview: 10 8 = 5 4 and 2 8 = 1 4 ; the solution for the inequality is then x ≤ 1 4 or x ≥ 5 4 but since we cannot cut more than a 1 2 wide strip, the second part is unus-able. Result: x ≤ 1 4 = 0 . 25 (of course, x is also positive . ..) ± Date : 01/21/2000. 1...
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This note was uploaded on 07/26/2011 for the course MATH 132 taught by Professor Staff during the Spring '08 term at Ohio State.

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