Maple #2 is due Thursday 18 January 2001

Papers which are not STAPLED will not be acepted
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

All plots need to have a title which includes your name.

Introduction to maple. Note often the expressions below are not given
in a format exceptable to Maple. For example, Maple does not understand
3x as 3*x, one must enter 3*x. Maple uses Pi for pi and does not know 
about e.

Hints: Try f:=x;g:=x^2;
plot([f,g],x=a..b,y=c..d,thickness=[1,2],linestyle=[1,2],color=[red,green]);
Try subs(x=5,g) and eval(g,x=5);
Try eqns:={x+y=A,x-y=B},A:=10;B:=0;solve(eqns,{x,y});


Do the following using maple
0. Enter your name as a comment or as maple text.
1. Find both an exact answer and an decimal approximation to 3/2 to the 100.
2. Plot the functions, cos x, 1-x^2/2, 1-x^2/2+x^4/4!, 1-x^2/2+x^4/4! - x^6/6!
on the same graph. limit x to -2pi to 2pi and y to -2 to 2. Use color,
thickness or linestyle to clearly identify which curve is which WHEN PRINTED.
3&4. Let f:=x^2*exp(-x) [and not f:=x->x^2*exp(-x)]. Use maple to find
the critical points of f and use eval or subs to find the value of f
at the critical points.
5. Clear all variables with the restart command. Then solve the problem
below by entering the equations, and then the known values and finally
solve for the unknowns. Given p and q are two numbers whose sum is S
and whose product is P. (write the two equations. Suppose S=100, P=900
find p and q. Suppose S=50, P=625 find p and q.