I need help on these 5 calculus questions:

Question 16 (1 point) Let f(x) be a function that is continuous for all x and satisfies: f(0) = 5, f(1) = -1, f(4) = 1, f(16) = Vx Let g(x) = f(t) dt. What is the value of g' (16)? 2 O 0 8 2 O 1Question 17 (1 point) The graphs of three functions are given below: f (in blue), g (in green), and h (in red). These functions are continuous on(0, co). Assume that the graphs continue in the same way as x goes to infinity (i.e. green stays on top, blue in the middle, red on the bottom). Suppose f in convergent. Which of the following do you know to be TRUE by the Comparison Test? 10 1.0 Oh(x) converges Oh(x) diverges O g(x) diverges O g(x) convergesQuestion 18 (1 point] 1 2(x1l3) dx 8 The improper integral/ 0 O converges to 2/3 0 converges to 3 O converges to 3/2 0 converges to 1 O diverges Question 19 (1 point) The Taylor polynomial of degree 2, centred at a: = 0, for the function y = 1925: is: (a) 1 + a: + 3:2. (b) 1 + 22: + 42:2. (c) 1 + 2(2: 2) + 2(23 2)\". (d) 1 + 22: + 21:2. (e) None of the above.