The first Maple Assignment Due at the beginning of class Friday 4 Sept.

0. Put your name at the top of the worksheet using Insert -> Text Input
menu options.

1. Factor 4x^2+12xy-20xz+9y^2-30yz+25z^2
2. Define a function f(x) = x^3-9x^2+23x-15. [Hint use f:=x-> ...]
3. Define functions f1(x) to be f'(x) and f2 to f''(x).
4. Solve f(x) = 0, and  f'(x) = 0 and f''(x) = 0
5. Plot f(x), f'(x) and f''(x) on same graph for x in [0, 6]
6. Find e to 100 decimal places.
7. Solve x+y+z = 3, x + y - z = 1; x-y-z=-1
8. Solve x+y+z = 3, x + y - z = 1; x+y=2 [Compare with 7.]
9. Solve x^2+y^2+z^2=4, (x-2)^2+y^2+z^2=4, x^2+(y-2)^2+z^2=4
10. How many roots did maple find in 9 and what are the values
numerically?