Scientists estimate the arrival times of tsunamis (seismic ocean waves) based on the point of origin P
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Scientists estimate the arrival times of tsunamis (seismic ocean waves) based on the point of origin P and ocean depths. The speed s of a tsunami in miles per hour is approximately s = √15d, where d is the ocean depth in feet.
(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
(b) Use Simpson’s Rule to estimate T if M = 1000 and the ocean depths (in feet), measured at 100-mile intervals starting from P, are
Transcribed Image Text:
M - Som T = dx 15 f(x)
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