Homework 3

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Homework #3, p. 135, #4, 5; bonus

75 pts + bonus

solutions to #4, 5

(4) 25 pts.

  • a few students gave acceptable functions, but even fewer showed that these functions satisfied the desired conditons.
  • I believe this was a VERY difficult problem, please don't be discouraged if you didn't get the answer correct.

(5) 25 pts.

  • students also had difficulty with this problem.
  • many students wanted to prove this by contradiction, but it's just as easy to prove in the postive way, and more elegant.
  • I think it would be very beneficial to look at the problems to both of these problems.

bonus

(in-class problem) 25 pts.

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