MAT112 Calculus 2 Sample Test #2

Prof. Porter


  1. Find the area between the curves y = -x and y = and above the x-axis.
  2. Find the volume of the solid that results when the region enclosed by the curves  and  and x > 0 is rotated about the y-axis
  3. Find the Volume by Cylindrical Shells for the solid generated by rotating the region enclosed by y = x (4 – x) and y > 0 about the y-axis
  4. If an object is thrown from a building and the height is given by h = -16t2+32t+48 then how much distance does the object travel before hitting the ground?
  5. What is the surface area of an egg that is generated by revolving the curve about the x-axis
  6.  Evaluate the integral: