PLEASE HELP WITH 1-3, SHOW ALL WORK THANK YOU!

1. (3 marks) Suppose that 9"(35) = 2 7 6st 7 sin(:r) and that g'(0) = 4 and 9(0) 2 1. Find g(:c) and explain your reasoning. 2. (a) (2 marks) Evaluate the Riemann sum for f(:1:) = 4272 i 37 taking the sample points to be right endpoints and a = 0, b = 4 and n = 4. (b) (1 mark) Evaluate 4 / (4:162 * 3)d9: o by using a similar scheme as in part (a) but taking the limit as n a 00. 3. (3 marks) If f and g are continuous functions with r f 3f(:c)d:c = 36 4 and 4 / 5g(a:)da: = 721, 1 nd /1 [M20 1 4f(a:) , M9 1 (x 1 1mm