PS4: Problem 1 (1 point} Find a function y = am? + bx + c. whose graph has an xintercept of 1: a yintercept of -2, and a tangent line with a slope of -1 at the y-intercept. PS4: Problem 2 Previous Problem Problem List Next Problem (1 point) For what values of a does the graph of f(x) = 2x3 -3x2 -36x - 5 have a horizontal tangent line? Answer(separate by commas): cPS4: Problem 3 Previous Problem Problem List Next Problem (1 point) At what point does the normal to y = 4 - 4x + x2 at (1, 1) intersect the parabola a second time? Answer: Note: You should enter a cartesian coordinate. The normal line is perpendicular to the tangent line. If two lines are perpendicular their slopes are negative reciprocals -- i.e. if the slope of the first line is m then the slope of the second line is -1/mPS4: Problem 4 Previous Problem Problem List Next Problem (1 point) If 39 + 3f(x) + 4x (f(x))" = 0 and f(-3) = -1, find f' (-3). f' (-3) =PS4: Problem 5 Previous Problem Problem List Next Problem (61 - 4) (1 point) Let f(I) = Find f' (x). (5x + 3) f' (@) =