(a) Let f be defined on [3,45] with f(3) = 50 and H45) = 2. If f is continuous on the interval (3,45), is it true that there must be some number c E (3,45) such that e) = 10? If you believe it is true, justify your reasoning. If you believe it is false, show it with an example. (b) Let g be some function such that 9(2) = 1 and 1126 w = 6. Find the value of 1im2gr[:r). Please > 3 justify a\" your reasoning