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Unformatted text preview: Douglass Houghton Workshop, Section 1, Mon 9/12/11 Worksheet Beatles 1. On Wednesday we were undecided as to whether it is always possible to dig a square hole in any triangle. Consider this particular triangle, which has been placed on a grid of unit squares: Can we dig a square hole in such a way that all four corners of the square are on the edges of the triangle? Explain why or why not. 2. Let f ( x ) = ln( x ). Sketch graphs of the following, without using a calculator: f ( x ) , | f ( x ) | , f ( x + 2) , f (3 x- 1) , e f ( x ) Which of these functions has an inverse, without restricting its domain? 3. Last time we found that when Michael Phelps dries himself off with a towel the same size as he is, then he ends up half as wet as he was before. And if the towel is twice as big as he is, hes a third as wet. But then we realized that if he just divides the big towel in half, he can get even drier....
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This note was uploaded on 01/28/2012 for the course MATH 146 taught by Professor Conger during the Winter '08 term at University of Michigan.
- Winter '08