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Assignment 1

Due: 10:00 a.m., Wednesday, Sept. 16

  1. Evaluate the following integral:

    displaymath23

    Give a floating-point (decimal) answer to at least four decimal places.

    Maple notes: Don't forget that the exponential function tex2html_wrap_inline25 is exp(x) in Maple. Don't worry if Maple doesn't seem to do anything when you first try to evaluate this integral. Use evalf() on the result anyway.

  2. Plot the function tex2html_wrap_inline27 on the interval tex2html_wrap_inline29 .

    Maple note: tex2html_wrap_inline31 is Pi in Maple.

  3. Find one solution of the equation tex2html_wrap_inline33 . Do not convert your answer to floating-point form.  
Bonus:
Your graph of f(x) should show that there are (at least) two solutions to the equation of question 3. Find another. Full marks will be given if you can give an exact answer, but some credit will be given for a floating-point answer.



Marc Roussel
Mon Aug 31 14:14:53 MDT 1998