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Unformatted text preview: Math 141, Problem Set #4 (due in class Mon., 10/3/11) Note: To get full credit for a non-routine problem, it is not enough to give the right answer; you must explain your reasoning. Stewart, section 1.5, problems 4, 12, 16, 18, 20, 28, 30, 32, 34, 36, 46, 47. • Clarification for problem 34: You must restrict yourself to functions f such that f ( x ) is defined for all x in [0 , 1]; no fair leaving f (0 . 25) undefined! • Clarification for problem 36: Since you’re trying to prove the existence of a positive number c such that c 2 = 2, it’s not legitimate to refer to √ 2 in your argument, since that assumes the existence of the very thing whose existence we’re trying to prove! • First hint for problem 47: Define u ( t ) to be the monk’s distance from the monastery t seconds after midnight on the first day, and define d ( t ) to be his distance from the monastery t seconds after midnight on the second day. Plot the functions u ( t ) and d ( t ) against the same coordinate axes. Saying that the monk is at the same point on his pathcoordinate axes....
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