The below-ground volume is Vb(t) = -1.0t + 40.0 and the below-ground density is pb(t) = 1.8

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The below-ground volume is Vb(t) = -1.0t + 40.0 and the below-ground density is pb(t) = 1.8 + 0.02t.
In each of the following situations (extending Exercise 38 in Section 2.5), the mass is the product of the density and the volume. In each case, time is measured in days and density is measured in grams per cm3.
a. Find the mass as a function of time.
b. Compute the derivative.
c. Sketch a graph of the mass over the next 30 days.
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