(14) A spherical balloon is being deflated at a rate of 5cm3/ sec. At the instance when the balloon 327 contains 3 -cm of gas, how fast is its radius decreasing? (Recall: V = =ar*) 916 - x (15) Find the limit: lim T-+00 13+1 (16) Consider the function f(x) = 23 - 12x2 + 36. = r(x - 6) with derivatives f'(x) = 3(x -2)(x -6) f"(x) =6(x - 4). Find the intervals of increase and decrease, the local maximum and minimum, the intervals of concavity and inflection points. Use all this information to sketch the graph of f. (17) If f is a differentiable function, state the definition of f'(I)