4. Given the function y = e'x. a. Determine its y-intercept and x-intercepts. (2A1 b. Determine critical numbers, local maxima and minima, and the intervals where the function is increasing and where it is decreasing. {4A, 4C) c. Determine points of inflection, and where the graph is concave up and where it is concave down. (M) :1. Sketch a graph of the function. (2(2) 5. A particle moves along a line. Its position at time t is described by the function 3(t) = 2e"t sin 3t (t 2 0). a. Determine the velocity of the particle. (2A1 b. What is the initial velocity of the particle? (1A) c. Determine the acceleration of the particle. (2A)