14 DETAILS LARCALC11 2.5.006. Find dy/dx by implicit differentiation. 812 - 212 = 25 ty/dx Submit Answer 15 DETAILS LARCALC11 2.5.011 Find dy/ dx by implicit differentiation x7yB -y=x dy /dx = Submil Answer 16 DETAILS LARCALC11 2.6.013. The radius r of a sphere is increasing at a rate of 9 inches per minute. (a) Find the rate of change of the volume when r = 11 inches. in. 3/min (b) Find the rate of change of the volume when / = 34 inches. In. /min Submit Answer 17 DETAILS LARCALC11 3.3.031. Consider the following function (a) Find the critical numbers of r. (Enter your answers as a comma-separated list.) (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using Incerv er does not exist, enter DNE.) increasing decreasing (c) Apply the First Derivative Test to identify the relative (If an answer does not exist, enter ONE.) relative maximum (x x) = relative minimum (x. ) =