(1) For f(x) = 223 - 3x2 + 3x + 5 (a) Find the domain of f(x) (b) Find all critical numbers of f(x) (c) Use the Second Derivative Test to compute relative maximum and/ or relative minimum values of f (x) (d) Use the Second Derivative Test to compute the intervals where f (x) is concave up and concave down (e) Use the Second Derivative to find all inflection point(s)(2) For f(r:) : 5172 3111 |17 + 2| (a) Find the domain of f (1') (10) Use the Second Derivative Test to compute relative maximum and/or relative minimum values of f (T) (3) Find any critical numbers for f and then use the Second Derivative Test to decide Whether the critical numbers lead to relative Inaxirna or relative minima. (a) f(.r) : .772 6x 2. (b) f(a7) 2:172 12:17 + 36. (4) Find the point of diminishing returns (93,31) for the given functions, Where (R(:C), represents revenue (in thousands of dollars) and :1: repre sents the amount spent on advertising (in thousands of dollars). (a) R(m) : 5000 7 4:65 + 72752 + 2001', 0 g a: g 10. (b) R(:c) : 0.5:c3 + 6:132 + 7.851;, 0 g x g 8. (0) RM) : 0.8;r3 + 2.7.772 + 9.7:, 0 g :27 g 4. (5) The percent of concentration of a certain drug in the bloodstream 2? hours after the drug is administered is given by 2t t2 + 1' (a) Find the time at which the concentration is a maximum. K05) (b) Find the maximum concentration