Hello, I am completely stumped by some of these problems, and have no where else to get help, can anyone help me with these problems? Any help would be greatly appreciated. Thank you very much. 1. The function v(t)=12t(squared) - 16t is the velocity in m/sec of a particle moving along the x-axis, where t is measured in seconds. Use analytic methods to find the particles displacement for 0<(greater than or equal to)t<(less than or equal to)5. (round to nearest 10m). (Note: just t is squared in the equation, and it's 0 to 5 including both 0 and 5) (I got 120m but it doesn't seem right) 2. A certain spring obeys Hooke's Law and requires a force of 10N to stretch it 8cm beyond its natural length. How much work would be done in stretching it to 12cm beyond its natural length? (Note: I got 90N*m but I'm not sure if it's right) 3. Find the area of the region enclosed by y=sin2x and y=cosx for -(negative)PI/2 greater than or equal to X less than or equal to PI/6. (I got -4.5 which seems completely wrong ) These next two I had no idea how to do 4. The base of a solid is the region between the line y=4 and the parabola y=x(squared). THe cross sections perpendicular to the x-axis are semi-circles. Find the volume of the solid. 5. A region is bounded by the lines: y=(square root of)X , y= X-2, and y=0. Find the volume of the solid generated by rotating this region about the x-axis. THanks again for any help, sorry if it is too much.