Midterm IILaurence Field — Math 152, Section 32 — February 21, 2013Instructions:This midterm has 8 questions for a total of 100 points. The value of eachquestion is stated. Please show your working. No books, notes or calculators are allowed.You have 50 minutes.1.10Find the average value of the functionf .x/Dsec214xon the intervalOE0;.2.10Consider a rod whose density at each point is proportional to the square root of thedistance from the rod’s left endpoint. Where is the rod’s center of mass?3.15Find the area enclosed between the curvesyDx2andxD jy2j.4.15Find the volume obtained by revolving around thex-axis the region enclosed betweenthe the curvesyDx2andyDp2x2.5.15Find the volume obtained by revolving the region bounded by the curves
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