MATH 211 Final: MATH 211 Amherst F10M13 2801 29BenedettoFinal

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

Document Summary

If you wish, you may also attempt the three optional bonus questions. Little or no credit may be awarded, even when your answer is correct, if you fail to follow instructions for a problem or fail to justify your answer. Simplify your answers whenever possible, and write legibly. If you need more space, use the back of any page. Find an equation for the plane that contains the point (0, 3, 0) and the line. ~r(t) = (cid:10)4 t, 1 + 2t, 3t(cid:11): (15 points). 25xy x2 + y2 if (x, y) 6= (0, 0), 12 if (x, y) = (0, 0). (2a). Compute the directional derivative d~uf (0, 0), where ~u = (cid:10)3/5, 4/5(cid:11). (2b). Compute zzd y da: (20 points) let e be the solid lying inside the sphere x2 + y2 + z2 = 2 and above the cone z = px2 + y2 in the rst octant.