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5. [20 Points] The velocity of a certain particle in the time period 0 g t g 8 was given by \"(t) = 4 1 and in the time period 8 g t g 20 it was v(t) = 2:1: 20. Find the displacement. if this particle in the time period 4 g t g 10. 6. [16 Points] Suppose that f, g, f' and g' are continuous. State whether the following statements are True or False. (a) I: mm = If f(-r)dr- (b) If a 1: x) g b for all :r e [0, 2022] then 20220. 3 [02m f(2:)d:c 3 20225. (c) 1qu = no Na) (d) If f'(:r) = g'(2:) then jf'(:r:)d:r = 9(1) + C for some constant C