MATH 241 Study Guide - Midterm Guide: Ds 3

• School: University of Maryland
• Department: Mathematics
• Course: MATH 241
• Professor: ALL

Document Summary

Put a box around the result of a computation. No calculators, no book, no notes: (25 points) Let f be the vector eld in the plane de ned by the rule. F(x, y) = (1 + yexy + 3x2y, xexy + x3 + 2y) and let r(t) be the oriented curve from the origin to the point (1, 1) given by the rule r(t) = (t2, t3), Let be the unit sphere, with the outward normal orientation, and let f be the vector. Eld f(x, y, z) = (x3, y3, z3). F n ds : (25 points) Let d denote the unit box with the bottom side missing (the eight corners of the box are all the vectors you can make using 0 and 1 as coordinate entries). Let d have the orientation given by outward normal vectors, and let c be the boundary of d with the induced orientation.