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Unformatted text preview: (a) Find the displacement d 1 traveled by the particle during the time interval given above. (Give your answer as an improper fraction.) d 1 = m (b) Find the total distance d 2 traveled by the particle during the time interval given above. d 2 = m 11 ) Water flows from the bottom of a storage tank at a rate of r ( t ) liters per minute. Find the amount of water R that flows from the tank during the first 10 minutes. R = liters 12 ) Suppose that a volcano is erupting and readings of the rate r ( t ) at which solid materials are spewed into the atmosphere are given in the table. The time t is measured in seconds and the units for r ( t ) are tonnes (metric tons) per second. T 1 2 3 4 5 6 r ( t ) 2 10 28 36 48 56 60 (a) Give upper and lower estimates for the total quantity Q (6) of erupted materials after 6 seconds. Q (6) = tonnes (lower estimate) Q (6) = tonnes (upper estimate) (b) Use the Midpoint Rule to estimate Q (6). Q (6) = tonnes...
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