Do any four of the following problems.
Hard Problems1) Integrate x*sqrt(4-x2) dx in two different ways.
One way is easy, the other uses the substitution x=2sin u.
2) Page 498, #43
3) Page 521, #22
4) Page 523, #42
Really Hard Problems5) Describe in detail why Newton's method
sometiems fails for f(x)=x1/3.
6) Classify the positive functions for which the
trapezoid rule is always an over-estimate.
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Last modified: Sun Feb 9 23:12:16 EST 2003