Preview laboratory sketch / Mathematics

Change and accumulation

Move two points together on a parabola and watch the secant slope approach a tangent slope. Then accumulate rectangles under that slope curve and compare the total with the original change in position.

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35

Interval width and Sample point experiment

Move two points together on a parabola and watch the secant slope approach a tangent slope. Then accumulate rectangles under that slope curve and compare the total with the original change in position.

What changed

11 rectangles approximate the accumulated area. Narrower intervals expose the curve more faithfully.

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