Please help with these questions. I can't paste the format so I attached a picture.

1 Unconstrained optimization in one variable Consider the function f(l') = x3 63:2 + 5, Where x E [ 5,5] a) Find the critical values in x. b) For each critical value, is it a maximum or a minimum? In the range at e [ 5, 5], is each critical value a local or global maximum/ minimum? c) Graph the function and label the critical values. 2 Unconstrained optimization in one variable, part II Consider the function 2 f(m)=amam Where m> 0 a) Find the value of m that maximizes f(m) for a given value of a. b) Let cc(a) be the maximum at chosen for a given value of a, and let 9(a) = f (x(a)) be the function representing f at the maximum 36* = w(a) for a given value of a. Calculate 9(a) and g'(a). c) Use the envelope theorem to calculate g'(a), and conrm that you get the same answer as in b)