MAT112 Calculus 2 Sample Test #2

Prof. Porter

- Find the area between the curves y = -x and y =
_{}and above the x-axis. - 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 - 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
- If an object is thrown from a building and the height is
given by h = -16t
^{2}+32t+48 then how much distance does the object travel before hitting the ground? - What is the surface area of an egg that is generated by
revolving the curve
_{}about the x-axis - Evaluate the integral:
_{}

Given:

_{}

_{}

_{}

_{}