(1 point) If f(1) = 14, f' is continuous, and ( f' (t ) at = 23, what is the value of f (5)? Answer:(1 point) If f (x) = (49- t2) el dt, find the largest interval on which f is increasing. Answer (in interval notation): | VI(1 point) Suppose that F(x) = / f(t) at, where at3 f ( t ) = V7+ 25 du. u Find F" (2). F"(2) =(1 point) Let if x 3 and g(x ) = / f (t)dt Determine the value of each of the following: (a) g(-4) = (b) g(-2) = (c) g(1) = (d) g(4) = (e) The absolute maximum of g(x) occurs when x = and is the value It may be helpful to make a graph of f(a) when answering these questions.(1 point) Find a function f and a number a such that f (t) 2+ -dt = 5x-1 a +6 f (ac) = a =