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AP Calculus AB March 12, 2009
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AP Calculus AB March 12, 2009

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A quiz and a small step forward on the Boston By The Sea problem.

A quiz and a small step forward on the Boston By The Sea problem.

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  • 1. Applications of the Integral Workshop Cal. Lab
  • 2. Greater Boston can be approximated by a semicircle of radius 8 miles with its centre on the coast. Moving away from the centre along a radius, the population density is constant for the first mile. Beyond that, the density starts to decrease according to the data given in the table, where ρ(r), thousands/mile2 , is the population density at a distance r miles from the centre. (a) Using this data and a Riemann sum, estimate the total population living in the 8 mile radius. (b) Determine a possible formula for ρ(r). Use this formula to make another estimate of the population.
  • 3. (a) Using this data and a Riemann sum, estimate the total population living in the 8 mile radius. HOMEWORK