6. A particle is moving along a line so that its velocity is v(t) = +3 - 9t2 + 15t + 10 feet per second at time t. [Calculator] A. What is the displacement of the particle on the time interval 0 S t $ 5 ? B. What is the total distance traveled by the particle on the time interval 0 $ t $ 5 ? 7. The total number of documents Hayden has uploaded to his oogle Drive account is in creasing at a rate of r(t) = 8 - 1.2t files per week, where t is the time in weeks. Explain the meaning of the expression: 8 -1.2t dt = 1713. The volume of the solid generated by revolving the region bounded by the curves y = _, x = 0, y = 1, and y = 3 about the y-axis equals A. 3 B. C. D.Consider the graphs of y = x2 and y = 8 - 2x shown in the picture at right. The two curves intersect at (2,4). Region R is bounded by the two curves and the y-axis. Region S is bounded by the two curves and the x-axis. A. Find the area of R. R (2, 4 ) 3- 2- S B. Find the area of S. C. Find the volume of the solid obtained when region R is rotated about the x-axis. D. Find the volume of the solid generated if cross sections perpendicular to the x-axis in region S are squares