Answer question numbers #6,#12,#14,#16,#20 include full steps and solutions with explation of your answers.
In Problems 1-4, find all critical points and determine whether they are relative maxima, relative minima, or horizontal points of inflection. 17. Given y 6400x 18xnd the absolute maximum and minimum for y when (a) 0x 50 and (b) 0 s xS 100. In Problems 18 and 19, use the graphs to find the following items. (a) vertical asymptotes (b) horizontal asymptotes (e) lim (d lim) 18 3, f(x) = 1-3x + 3x2-x3 f(x) = +1 In Problems 5-10: (a) Find all critical values, including those at which f(x) is undefined. (b) Find the relative maxima and minima, if any exist. (c) Find the horizontal points of inflection, if any exist. (d) Sketch the graph. y = f(x) d a 6, f(x) = 4x3-x" -2 15 8. y = 5x7-7x5-1 9, y=x2/3-1 10, y = x2/3(x-4)2 19. 11. Is the graph ofy = x4-3x3 + 2x-1 concave up or concave down at x = 2? 2. Find intervals on which the graph ofy = x4-2x3 12x + 6 is concave up and intervals on which it is concave down, and find points of inflection. 13. Find the relative maxima, relative minima, and points 9x+ 10. of inflection of the graph of yx in Problems 14 and 15, find any relative maxima, relative In Problems 20 and 14 n, and points of inflection, and sketch each graph. In Problems 20 an 15, y=2+5x3-3x5 16, Given R and any vertical asymptotes. 3x + 2 2x 21, y = 280x-x, find the absolute maximum ) 0 s x S 200 and and minimum for R when (a (b) 0 x 100
