Edit (a) If a is a constant, find all critical points of f(x) = 5ax - 2x2. Number of critical points: one NOTE: Enter the x- coordinates of the critical point . 5 a = 4 (b) Find the value of a so that f has local extrema at x = 6. a = 30a - 72 XFor x) 2 31112 a: 7 008m, and 0 g :1: S 7r, nd the value(s) of :1: for each condition listed below. NOTE: Enter the exact answers, or round to 3 decimal places if needed. (a) Number of local maxima: (b) Number of local minima: Choose one One two (C) Global maximum at 56 E (01) Global minimum at as Find the following integral, given that f (x) dx = 4. a | cf ( z ) dz = a