Tutorial:Creating Dynamic Worksheets

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Creating Dynamic Worksheets

In this activity you will learn how to create a dynamic worksheet that illustrates how lower and upper sums can be used to approximate the area between a function and the x-axis.

Preparations

Construction Steps

1 Enter the cubic polynomial f(x) = -0.5x³ + 2x³ – x + 1
2 Tool New Point.gif Create two points A and B on the x-axis Template:Hint: These points will determine the interval.
3 Tool Slider.gif Create a slider for the number n (interval 1 to 50; increment 1)
4 Create uppersum = uppersum[f, x(A), x(B), n]
Note Hint: x(A) gives you the x-coordinate of point A.
5 Create lowersum = lowersum[f, x(A), x(B), n]
6 Tool Insert Text.gif Insert dynamic text Upper Sum = and select uppersum from Objects
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