Math 126-101 CRN 31611
Summer 2015
Quiz 7, June 16
Carter
Name
1. Find the lateral surface area of the cone that is obtained
the line segment
p
R b by rotating
y = x/2 of 0 ≤ x ≤ 4 about the x-axis. Recall, A = a 2πf (x) 1 + (f 0 )2 dx.
2. A bag of sand originally weighing 144 lbs was lifted at a constant rate. As it rose, sand
also leaked out at a constant rate. The sand was half gone by the time the bag had
been lifted to 15 feet. How much work was done in lifting the sand this far?
3. Compute
Z
2
2te−t dt.
Name