MATH 211 Final: MATH 211 Amherst F16M211 2801 29FinalZhang

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

Document Summary

The answer in (a) is useful here: (10 points) (a) (5 points) evaluate the double integral. Z y cos(x2)dxdy. (b) (5 points) rewrite the following triple integral in the order dzdxdy. y z z. 0 f (x, y, z)dxdzdy: (10 points) (a) (5 points) evaluate the triple integral. X2+y2 xzdzdydx by changing to cylindrical coordinates rst. (b) (5 points) compute zzze x2 + y2 + z2 = 1 and above the cone z = zdv where e is the solid region inside the sphere. 3px2 + y2: (10 points) the ellipse 4x2 + 9y2 = 36, in the counterclockwise direction. (a) (5 points) use green"s theorem to compute zc (b) (5 points) evaluate the line integral zc. ~f d~r where ~f = h2xyz, x2z, x2yi and c is the polygonal line segment from (0, 0, 0) to (1, 0, 0) and then from (1, 0, 0) to (1, 1, 1).