Suppose organisms grow in mass according to the differential equation dM /dt = t n where M

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Suppose organisms grow in mass according to the differential equation

dM /dt = αtn

where M is measured in grams and t is measured in days. For each of the following values for n and α, find

a. The units of α.

b. Suppose that M(0) = 5.0 gm. Find the solution.

c. Sketch a graph of the rate of change and the solution.

d. Describe your results in words.

n = –1/2, α = 2.0

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