# calculus

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For time, t, in hours, 0\le t\le1, a bug is crawling at a velocity, v, in meters/hour given by
v = \frac{5}{1 + t}.
Use \Delta t = 0.2 to estimate the distance that the bug crawls during this hour. Find an overestimate and an underestimate. Then average the two to get a new estimate.

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