please help to solve the true or false questions (3-5) and multiple choice (6). Thank you.

Question 3 (1 point) Saved If f is defined on the interval (15, 30), then Sis f (x)dx = - fo f (x)dx a) True ( b) False Question 4 (1 point) Saved If f is defined on the interval [8, 13), then S' f (x)dx = [& f (x)dx + [of (x)dx a) True Ob) False Question 5 (1 point) Saved If f is defined on the interval (6, 20], then Sof ( x) dx = 13 f ( x) dx - 13 f (x)dx a) True b) FalseQuestion 6 (1 point) A factory has installed a new process that will produce an increased rate of revenue (in thousands of dollars per year) of R(1) = 200 - 0 .5 et+1 where t is time measured in years. The new process produces additional costs (in thousands of dollars per year) at the rate of C (1) = 2 e'+1 Find the net total savings. Note: Round up all the decimal numbers in all the steps not just the final answer. Example: if you get (3+1.005 = 3+2 = 5) or (50 + 1.5= 50+2 = 52) round it up to 2 in any step of the calculations. ( a) 4 Ob) 170 O c) 435 O d) 536 O e) 763 MacBook Air