MATH 211 Final: MATH 211 Amherst F12M211 2802 29MCCFinal

• School: Amherst College
• Department: Mathematics and Statistics
• Course: MATH 211
• Professor: All

Document Summary

You may not use books, notes, calculators, cell phones or any other aids. You must explain your answers clearly and completely to get full credit. Answers involving sine, cosine or tangent of angles that are multiples of , . Follow directions carefully: if the question tells you to use a particular method or de nition, then you must use it in order to get credit. Zzr: (10 points) let e be the region in r3 that lies above the plane z = 0, below the cone z =px2 + y2 and inside the sphere x2 + y2 + z2 = 9. Calculate the volume of e: (10 points) let r be the region bounded by the lines x + y = 1, x + y = 4, x y = 1, and x y = 1. Use an appropriate change of variables to calculate the integral (x + y)2ex y da.