Math 106  Lab   M. Flashman
Friday April 23rd, 2004 11:00-11:50

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• Starting- Download and unzip:    http://math.exeter.edu/rparris/winplot.html
• On-line help: Al Lehnen has prepared a detailed guide to Winplot
• Initial examples:

Part I.Integration

• Enter and graph the function
  
• y = 4x -x²
• One Function Menu
• Integration : Integrate
• definite
• 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.
  
• indefinite
  
• 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 Menu
• add y = x² to your inventory.
  
• Find where the two graphs intersect.
• Use 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.
• Integration  f-g
•  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. 
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Part II  3-Dimensional Functions

• Equation Menu 
• Point...
• Segment... 
• Plane ...
  
• Explicit
  z =f(x,y): cartesian coordinates
•   z= 4x + 2y - 3xy

         z= ax + by - cxy

• Misc menu
• slicer for x and y (animation)
• Inventory
• table
• family For points and segments- not functions.
  
• View menu
• box
• Btns menu

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