Question: 26. A small car accelerates from rest at 2 + 3Vt mph per second for 6 seconds, where t is in seconds, and continues at

26. A small car accelerates from rest at 2 + 3Vt mph per second for 6 seconds, where t is in seconds, and continues at a constant velocity after that. What is the car's velocity after 12 seconds? A 41.4 mph B 53.5 mph C 48.3 mph D 52.1 mph 27. The base of a solid is the region enclosed by y = ex, the x-axis, the y-axis, and the line x = In 3. Cross sections perpendicular to the x-axis are squares. Write an integral that represents the volume of the solid. In 3 e B [ (in 3)2 e 2x dx c jin3 ex dx D It So ex dx 28. The base of a solid is the region enclosed the x-axis, y = tan x, and the line x = #. Cross sections perpendicular to the x-axis are isosceles right triangles with one leg in the plane of the base. Write an integral that represents the volume of the solid. A - Ja tan?x dx B Stan x dx c Satan x dx D - So tan x dx 29. Which of the following integrals represents the volume of the solid obtained by rotating the region bounded by the graph of y = -Vx, the x-axis, and the line x = 4 about the x-axis. An Soyz dy Br Joyz dy CTS. (-Vx)2dx DRS. ( - Vx)2 dx 30. Find the volume of the solid formed by rotating the region bounded by the graph of y = Vx + 1, the y-axis, and the line y = 3 about the y-axis. A 6.40 cubic units B 20.106 cubic units C 50.378 cubic units D 100.531 cubic units
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