MATH 16B Study Guide - Final Guide: Random Variable
Document Summary
Math 16b - spring 2009 - final exam review problems (1) let f(x, y) = 3x2 + 6xy + 4y2 + 4y. Find all maxima, minima, and saddle points of f(x, y). (2) let r = {(x, y)|0 y ln(x), 1 x e}. R (3) use two iterations of newton"s method with an initial guess of x0 = 3 to nd an approximation for. 10. (6) find (in(cid:80) notation) an in nite series that converges to y( ) = 7. y(cid:48) + 2 t y = sin t (7) a continuous random variable x has cumulative distribution function e2x2 1 x dx. 1 if x < 0 if 0 x ln 2 if x > ln(2) 0 (cid:90) e2x e4x + 6e2x + 9 dx. 0 f(x) = if x < 0 if 0 x 5 /2 if x > 5 /2 sin(x)
