Math 106 Lab M. Flashman
Friday April 23rd, 2004 11:00-11:50
Part II 3-Dimensional
- Enter and graph the function
- One Function
- Estimate the definite integral of y = 4x -x2 from x=0 to x=2.
- Using left hand endpoint, n = 4, n= 10 and n =1000.
- Compare your estimated answers with the exact answer found using the FT of Calc.
- Try some of the other numerical methods on the menu.
- Using the parameter C, find an indefinite integral for y = 4x -x2
- Graph your solution and use the family feature to show some of the family of these solution.
- Use the indefinite integral feature to graph an indefinite integral for y = 4x -x2 from x=0, and then from x = 2 and x = 4.
- Compare the results of the previous two graphings.
- Two Function
- add y = x2 to your inventory.
- Find where the two graphs intersect.
the integration on the two function menu to estimate the area of the
region in the plane between these graphs with n = 4 , n= 10, and n=1000.
- Level curves
- Using Equ...implicit for z= 4x + 2y - 3xy
- Use C = 4x + 2y - 3xy then using the C animator you can see which (x,y) will give z = f(x,y) = C.
z= ax + by - cxy
- Plane ...
for x and y (animation)
family For points and segments- not functions.