1. Given two functions, f1(x) = 2x and f2(x) = x2, explain what ∫20[f1(x)−f2(x)]ⅆx
represents and calculate this integral in the interval [0, 2]. Show all work.
2. Lumyn Electronics has seen stellar expansion in recent months. The company's profit, P, is currently growing exponentially at 5% each year. The rate of change of the company's profit can be modeled as 1PdP=0.05dt
. Find a general formula that expresses the profit of the company as a function of time, t.