7. The Von Bertalanffy differential equation has successfully modelled the growth of a human tumo over time, using surface area. The model can be described the following differential equation: aV2/3-bV Note here that V describes the size of the tumor, while a, b are constants. This particular differential equation has the following solution: dV dt V(t) = († + (V(0)¹/³ – e-bt/3)³ Verify that this is a solution to the model, keeping in mind that a, b, and V(0) are all constants. 8. Physicians model the absorption rate of medicine in a body using differential equations. Let C(t) be the concentration of a drug at time t. An example of the change in concentration as a differential equation is as follows: dC dt e-t - C Find an expression for C(t), assuming that, at time 0, there is 0 milligrams of the drug in the body.

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