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

1. Applications of the
Integral Workshop
Cal. Lab

7. 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.

8. (a) Using this data and a Riemann sum, estimate the total
population living in the 8 mile radius.
HOMEWORK