NAME:
Math 106 - Quiz 3 - September 25, 2006
Instructions: Show all of your work and circle your final answers. Calculators are allowed, but notes and
books are not.
1. (13 pts.) Consider the region bounded by the curves y=ex,y= 0, x= 0, and x= 1.
(a) Integrating in x, calculate the area of the given region.
(b) Integrating in y, set up the appropriate integral(s) that would calculate the area of the given
region. (You do not need to evaluate the integrals.)
2. (7 pts.) Let f(x) = 2
3x3/2. Calculate the arc length of y=f(x) from x= 1 to x= 3.