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The number of snowplows needed by a town is given by s(p)=0.5p−0.01p^2. snowplows where p is...

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Basic Math

The number of snowplows needed by a town is given by

s(p)=0.5p−0.01p^2. snowplows where p is the population (inthousands).

The projected population of the town t years from now isp(t)=150(1+12e^−0.02t)^-1 thousand people.

(a) Write the model for the rate-of-change of the number ofsnowplows needed t years from now.

(b) What will be the rate-of-change of the number of snowplowsneeded five years from now?

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