MATH 114 – MAPLE ASSIGNMENT 1 – DUE 12 JULY 2007
Answer all of the following questions. You may work in groups of no more than three
persons to complete this assignment. One copy of the completed assignment is to be turned
in for each group. Each member of the group must sign the assignment.
You are expected to turn in a printout of a MAPLE worksheet containing the MAPLE
commands and output that you used to complete the assignment. You must also include text
explaining what you are doing (this can be typed onto the MAPLE worksheet or written by
hand on the printout). Include any hand calculations.
This assignment is due at the beginning of class on Thursday, July 12, 2007. No late
assignments will be accepted under any circumstances whatsoever. If you are not finished
with the assignment by the due date, you should turn in what you have for partial credit.
You may turn in the assignment early if you wish.
1. (5 pts. each)
(a) Use MAPLE to define the function f(x) = x+ sin2(πx). Plot this function in the
horizontal viewing window 0 ≤x≤2.
(b) Use MAPLE and the disk method to find the volume of the solid obtained by rotating
the region between the curve plotted in part (a), the x–axis and the line x= 2 about
the x–axis. If MAPLE cannot compute the integral explicitly, then give the answer
correct to ten decimal places.
(c) Use MAPLE to find the arclength of the curve you plotted in part (a). If MAPLE
cannot compute the integral explicitly, then give the answer correct to ten decimal
places.
(d) Use MAPLE to find the area of the surface obtained by revolving the curve in part
(a) about the y–axis. If MAPLE cannot compute the integral explicitly, then give the
answer correct to ten decimal places.