Vadim von Brzeski, Math 12 De Anza College 6. (10 pts) Let f(x) = In(x + 1). (a) (7 pts) Find the equation (i.e. y = ma + b) of the line tangent to f(x) at x = 0. (b) (3 pts) Use your answer in part (a) to approximate In(0.925) to three decimal places. 7. (16 pts) A continuous random variable X has a probability density function (PDF) p(x) = k(8-2- ) on the interval [0, 4]. (a) (4 pts) Find k such that p(x) is a valid PDF. (b) (4 pts) Find P(X