Assignment:
Sketch the region bounded by the graph of the functions and find the area of the region:
1) f(x) = - x^2+ 4x + 2, g(x) = x + 2
2) f(y) = y(2 - y), g(y) = -y
3) f(x) = 3^x, g(x) = 2x + 1
Provide complete and step by step solution for the question and show calculations and use formulas.