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9. For the function F (x) = ; In(t) dt, evaluate F /(2). O 2 In(2) O In(2) O 4 In(2) ( 8 In(2) 6
9. For the function F (x) = ; In(t) dt, evaluate F /(2). O 2 In(2) O In(2) O 4 In(2) ( 8 In(2) 6 10. If g(x) = = 4 and h(x) = gr(x), evaluate f_ h(x) da. O 2 O 6 O O O -9 11. 3 8 13 18 f (x) 6 8 3 8 The table above gives values for the function f . Find the trapezoidal approximation for the area under f on the interval [3, 18] with 3 intervals of equal length. 90 360 180 O 45 O 10T 4 6 8 5. 10 f ( x) 12 26 44 66 fi(E) 6 8 10 12 14 34 62 98 8 12 16 20 The above table gives selected values for f (x), f /(x), 9 (x), and g /(x). Using these values, evaluate ff (g/( f (x)) fu(x)) dx. O 68 O 34 64 O 256 O 4815. Use a left and right Riemann Sum to approximate the area under this curve on the interval [-3, 4] . Graph of f AV 2 1-4 -2 12 4 0 Which gives an underestimate? Overestimate? O Left is an overestimate, right is an underestimate. O Both are overestimates. O Both are underestimates. O It depends on the size of the rectangles used. O Left is an underestimate, right is an overestimate.13. The graph of f \"(at-j on the interval [5, 5: is shown below. On which of the following intervals is the graph of f {a} concave down? Graph of "I" l" o {0.51 o r 411} o m: a} o [ 5.. 4: O[5-. 2] 14. The velocity {L' {f]] of a particle was measured at certain times {t} and recorded in the table below. What is the average acceleration of the particle on the interval [3:11]? t [I 3 5 '3 11 so} 3 15 11 o
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