section 5.9 solutions

V 1 f x ba b a x 1 7 a v 2 3 x 1 1 3 3 bn1

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Unformatted text preview: ; A. V. = 7 3 9 b x=0 5. A. V. = 1, x = 0, π , 2π f (x) dx = a 13. A. V. = 1 f (x ) b−a b a = x = ±1 7. A. V. = 2 , 3 x =1± 1 3 √ 3 bn+1 − an+1 (n + 1)(b − a) f (b) − f (a) b−a 19. (a) The terminal velocity is twice the average velocity. (b) The average velocity during the first 1 t seconds is one-third of the average velocity during the next 1 t 2 2 seconds. b 21. Suppose f (x) = 0 for all x. Then, since f is continuous, either f (x) > 0 on (a, b) or f (x) < 0 on (a, b). In either case, a 23. (a) v(t ) = at , x(t ) = 1 at 2 + x0 2 25. (a) M = 24 (b) A. V. = 4 √ 7 − 1 ; xM (b) Vav...
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