1. (10 Points) A particular person's cholesterol level, C (mg/dL), as a function of time, t (days), can be modeled by the following differential equation: dC dt = -0.35C 67 Please round all parts of your work to 2 decimal places (e.g. 143.128 rounds to 143.13). a.) What are the units of dC b.) For a person that with an initial cholesterol level of 240, is this person's cholesterol increasing or decreasing? By how much? Write your answer in a complete sentence and be sure to use units. c.) Determine any equilibrium points) for this model. Explain what this values) mean in the context of the problem using a complete sentence. d.) This equation is separable. What are g(t) and h(C)? (NOTE: h(C) would be called h(y) if y was our dependent variable.) d.) Solve this equation using separation of variables. Suppose C(0)=240. e.) Will the person's cholesterol level ever reach 200 mg/dL? If so, when? f.) What will happen to this person's cholesterol level after a very long time