1.Given two functions, f_{1}(x) = 2x and f_{2}(x) = x^{2}, 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.

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