Tsunami Arrival Times Scientists estimate the arrival times of tsunamis (seismic ocean

Chapter 7, Problem 29

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Tsunami Arrival Times Scientists estimate the arrival times of tsunamis (seismic ocean waves) based on the point of origin (a) Let f (x) be the ocean depth x miles from P (in the direction of the coast). Argue using Riemann sums that the time T required for the tsunami to travel M miles toward the coast is T = M 0 dx 15f (x) (b) Use Simpsons Rule to estimate T if M = 1000 and the ocean depths (in feet), measured at 100-mile intervals starting from P, are 13,000, 11,500, 10,500, 9000, 8500, 7000, 6000, 4400, 3800, 3200, 2000

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