(1 point) Consider the function f(x) = cos(x) + -x. 2 This function has two critical points at x = x1, x2 in [0, 2x], with x1 0. (A) List all the critical points of f (x). Note: If there are no critical points, enter 'NON E'. C] (B) Find all intervals (separated by commas if more than one) where f (x) is increasing. Pay attention to endpoints! Note: Use 'INF' for ca, '-INF' for oo, and use 'U' for the union symbol. If there is no interval, enter 'NONE'. Increasing: E] (0) Find all intervals (separated by commas if more than one) where f (x) is decreasing. Pay attention to endpoints! Decreasing: E] (D) List the x values of all local maxima of f(x). If there are no local maxima, enter 'NONE'. x values of local maxima = E] (E) List the x values of all local minima of f (x). If there are no local minima, enter 'NONE'. x values of local minima = E] (F) Find all intervals where f (x) is concave up. Concave up: E] (G) Find all intervals where f (x) is concave down. Concave down: E] (1 point) The rate of transmission in atelegraph cable is observed to be proportional to x2 ln(1/x) where x is the ratio of the radius of the core to the thickness of the insulation (0