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Unformatted text preview: In terms of the unknown coefficients, write down the three equations defining when the parabola contains the three given points and solve for the coefficients. See the example in the posted notebook on Mathematica foundations. 3. Plot the parabola between x=0 and x=3. Look up the Plot command. You might also try to add the three points to the plot to illustrate that the parabola really does go through the points. 4. Determine the maximum point (the vertex) of this parabola. Use some calculus. The derivative of an expression can be calculated using the D function. 5. What is the area under the parabola and above the x-axis between x=0 and x=3? Look up the Integrate function....
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- Spring '11