HW_5_4_mod

HW_5_4_mod - (a) Find the displacement d 1 traveled by the...

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Student Name: Sections 5.4 (Due: Tuesday, 11/20) Description : This homework will help you understand indefinite integrals. You need to know how indefinite integrals differ from definite integrals. Show all work to get full credit. 1 ) Find the general indefinite integral. 2 ) Find the general indefinite integral. 3 ) Find the general indefinite integral. 4 ) Find the general indefinite integral. 5 ) Find the general indefinite integral. 6 ) Evaluate the integral. 7 ) Evaluate the integral. 8 ) Evaluate the integral. (Give your answer as an improper fraction.) 9 ) Consider the given parabola. The area of the region that lies to the right of the y -axis and to the left of the parabola (the shaded region in the figure) is given by the following integral. (Turn your head clockwise and think of the region as lying below the curve x = 6 y - y 2 from y = 0 to y = a = 6 .)
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Student Name: Find the area A of the region. A = 10 ) The velocity function v ( t ) (in meters per second) is given for a particle moving along a line.
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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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HW_5_4_mod - (a) Find the displacement d 1 traveled by the...

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