Sat Apr  3 11:03:47 EST 1999
This project is ready
The due date for project 9 is 8 Apr

General Rules for Maple projects.

1. Your name must appear on all printed pages as Maple input.
2. Assignments must be stabled (not paper clipped).
3. Maple output can be confusing if the worksheet is not executed
from top to bottom. Make sure you to execute the the worksheet
from top to bottom before printing.
4. Some Maple programs use too big font for printing. Be sure the
font size is reasonable.
5. The student version of Maple has a "smartplot", do NOT use this.
6. Include your name in the title of any plot.

This one includes animations, you need to email me a copy as well
as turn in a hard copy.

Hint: to animate f(x)=mx+b on b means
m:="nice value"; animate(f(x),x="some x-range",b="some b-range");
The nice value, and ranges should be "good" choices.
You are not limited to the animate function, you may select
a list of b values and use display(.... insequence=true) to
animate. 

Project 9. (This project can be done individually or in groups of 2)
If you do it as a group, I need each member of a group to make a statement
saying roughly what percentage each person contributed. (If everyone
agrees on the relative percentages, this can be one page with everyones
signature.)

#1-8 are "animations" of the families of functions in section 5.2.
#1 & 2: f(x) = -4.9t^2+v_0*t+y_0.
#1 Pick a "nice value" of v_0 and animate f(x) on y_0
#2 Pick a "nice value" of y_0 and animate f(x) on v_0
#3 & 4: f(x) = A sin(Bx)
#3 Pick a "nice value" of B and animate f(x) on A
#4 Pick a "nice value" of A and animate f(x) on B
#5 & 6: f(x) = e^(-(x-a)^2/b)
#5 Pick a "nice value" of b and animate f(x) on a
#6 Pick a "nice value" of a and animate f(x) on b
#7 & 8: f(x) = a(1-e^(-bx))
#7 Pick a "nice value" of b and animate f(x) on a
#8 Pick a "nice value" of a and animate f(x) on b

#9-10 [problems 8&9 in section 5.2] f(x) = e^(-ax)*sin(bx)
#9 Pick a "nice value" of b given in problem 8, and animate f(x) on a
explain the graphical significance of the parameter a.
#10 Pick a "nice value" of a given in problem 8, and animate f(x) on b
explain the graphical significance of the parameter b.