1. Determine the point(s) when the tangent to the function f(x) = e^-x(x^2 - 3x + 1) is horizontal. Provide exact values.

2. The population of Blue Jays in Southern Ontario is represented by the function P(t) = 3 t e^-t/3, where P is the population in hundreds and t is time in weeks.

a). After how many weeks are the maximum number of blue jays present?

b). Determine the absolute maximum number of Blue Jays present during the first 10 weeks?