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Question: For the demand function below, find E (p) and determine if demand is elastic or inelastic (or nei...

Show transcribed image text For the demand function below, find E (p) and determine if demand is elastic or inelastic (or neither) at the indicated price. q = 200 (105 – p^2), p = 5 Let P (t) be the population (in millions) of a certain city t-years after 1990, and suppose that P (t) satisfies the differential equation P' = 05P (t), P (a) Find the formula for P (t). P(t) = (Type an exact answer) (b) What was the initial population, that is, the population in 1990? The initial population was million. (c) What is the growth constant?

For the demand function below, find E (p) and determine if demand is elastic or inelastic (or neither) at the indicated price. q = 200 (105 – p^2), p = 5 Let P (t) be the population (in millions) of a certain city t-years after 1990, and suppose that P (t) satisfies the differential equation P' = 05P (t), P (a) Find the formula for P (t). P(t) = (Type an exact answer) (b) What was the initial population, that is, the population in 1990? The initial population was million. (c) What is the growth constant?