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What is the total change of f(x), if f'(x) = 3x + 1, over the interval [1, 5]? Find the total change of f(x) between x = 0 and x = 2, when dx 4 = 2x2 - 3x. O -40 O -2 40 O -2 10 = O 42.5 O 45 What is the total change of f(x), if f'(x) = cos(3x), over the interval [0, r]? Use integration to find f(3), if ~ = 3x2, and f(0)= O -22 0 -1 O 27 0 0 O 32 O O 37 An object is moving along a horizontal path shown in the graph. Find the total change of f(x) between x = 1 and x = 4, when df O 2.597 O 2.386 INWAU O 1.386 O 0.386 What is the displacement of the object for the time interval [0, 5]? Displacement is 7. O Displacement is 3. nfearnx-suc/getindex/tokery/646837448050cacoedea Displacement is -3. O Displacement cannot be determined from the information given. Calculus A can is dripping out water at a rate of I'(t) = , cm'/sec. If the can held 20 cm' of water at time t = 1, what formula describes the amount of water remaining at time t = 4? If f(x) = 3x + 2, which equation describes the average value of f(x) over the interval [1, 4)? Do not evaluate the integral. . H Si ( 3x + 2) dx o v(3) = 20 - S & di ofi ( 3x - 2) dx o v(3) = 1 - ff & dt . To So ( 3x + 2 ) dx ofi ( 3x - 2) dx o v (3) = -20 + Si & di 4 45 46 47 48 49 5 o v (3 ) = 20 + Si & di Tom is running a race. Between time t = 0 min and t = 10 min, his speed is 3 miles an hour; between time t = 10 min and t = 30 min, h speed is 5 miles an hour. How far has he run? O 2.167 miles If f(x) = 3x3 + 6x, which equation describes the average rate of change of f(x) over the interval [1, 4]? O 2.833 miles 0 3(4) +6(4)]-[3(1)2+6(1)] 3 miles 4- 1 O 3.5 miles Ali (3x2 - 6x) dx 1 40 41 42 43 44 45 46 47 4 ofi ( 3 x 2 + 6.x) dx 0 3(4) +6(4)+(3(1)2+6(1)] 4+-1 1 44 45 46 47 48 49 50 MacBook Air