MATH 114 – MAPLE ASSIGNMENT 1 – DUE 29 MAY 2008
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, May 29, 2008. 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 plot the curve y=x3in the horizontal viewing window 0 ≤x≤2.
(b) Set up an integral with respect to the variable xgiving the arclength of the curve
in part (a). Use MAPLE to evaluate this integral explicitly. Use evalf to find the
approximate value of this integral.
(c) Set up an integral with respect to the variable ygiving the arclength of the curve
in part (a). Use MAPLE to evaluate this integral explicitly. Use evalf to find the
approximate value of this integral. Is this value the same as the one you found in part
(b)?
(d) Set up an integral giving the surface area of the curve in part (a) rotated about the
x–axis. Use MAPLE to evaluate this integral explicitly. Use evalf to find the approx-
imate value of this integral.