Quiz II and KeyJuly 19, 2007MAC 2312S Hudson1) [30 points] Find the average value off(x) = sec(x) tan(x) on the interval [0, π/3].2) [40 points] Find the volume of the solid that results when this region is revolved aroundthey-axis;y=x2-1,x= 2 andy= 0.3) [30 points] Evaluate the integral using integration by parts:x e3xdx.Remarks and Answers:The average grade was about 66/100.The scale for Quiz 2is: A’s = 80-100, B’s 70-79, etc. Since the drop date is next week, I’ve also computed asemester average for each student, based on the 2 quiz grades and Exam 1. HW will beincluded later. The average of the averages is approx 75/100. This is a little higher thanfor Exam I, mainly because averages below 50 are not included. The current scale for yoursemester average is: A’s 85-100, B’s 75-84, C’s 65-74, etc. I wrote your average and lettergrade in the upper right corner of your Quiz 2.1) 3/π. This was exercise 7.6.6. Many people forgot thatsec(x) tan(x)dx= sec(x) +C.Or that sec(π/3)-sec(0) = 2-1 = 1.2) 9π/2. This was exercise 7.2.20 in the disk/washer chapter, but it’s easier with shells.
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