Let f of x equals 4 minus x for x less than or equal to 4 and equals the quantity 2 times x minus 8 for x greater than 4. Use geometric formulas to evaluate the integral from x = 0 to x = 6 of f of x, dx.

In 2009, there were 1570 bears in a wildlife refuge. in 2010, the population had increased to approximately 1884 bears. if this trend continues and the bear population is increasing exponentially, how many bears will there be in 2018?