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Look up Simpson’s Rule and explore the effect on this integration method of changing the strip size on the error. Also, explore the effect of changing the strip size in the left-hand and right-hand rules for integration. Compare the convergence of the integral as the strip size decreases for all … 
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This problem is related to an unsolved problem in game theory... Consider a blind cat and mouse that live on a (unit) circle. They start off in random positions then each choose a speed and start running in a random direction. On average how far will the cat run before …
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