(1 point) Water is poured into a vessel in the form of a right circular cone with vertex down at a rate of 8 cm3lmin. The cone height and radius of the cone are 40 cm and 12 cm respectively. Find the rate at which the water level is rising when the water is 23 cm from the vertex. Answer: E] cm/min Find the rate of rise of the level when the vessel is quarterly filled. Answer: E] cmlmin (1 point) Referring to the graph above, which of the following statements is comect: O A. f " (3:) changes sign from + to - OB. f\"(x} 0 for all x 1 (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 'NONE'. C] (B) Find all intervals (separated by commas if more than one) where f (x) is increasing. Pay attention to end points! Note: Use 'INF' for co, '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 'NON E'. 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]