EXAM 3
Math 106
December 4, 2008
Name
You must show all your work. Partial credit will be given.
1. Use the right-hand sum to estimate the area between the graph of f(x) = x2−2 and the
horizontal axes on the interval [2,4]. Use n= 10 rectangles. (8 pts)
2. Based on data from November 22 to 24, 2002, the flow rate of the Snake River near Irwin,
Idaho, at noon may be modeled by
f(t) = −50t2+ 100t+ 1050
cubic feat per second, where tis the number of 24-hour periods since noon on November 22,
2002. How much water (in gallons) past by this point near Irwin, Idaho between noon on
November 22, 2002 and noon on November 24, 2002? Use a left-hand sum and n= 12 to
approximate this quantity of water. (8 pts)
