MATH 2E Study Guide - Final Guide: Sine Wave
Document Summary
Math2e - practice final: evaluate r rr(x y)/(x+y)da, where r is the region with vertices (0, 2), (1, 1), (2, 2), and (1, 3). 1: evaluate rc xydx + ydy, c is the sine curve y = sin x, 0 x /2. 2: f(x, y, z) = eyi + (xey + ez)j + yezk, (a): show that f is conservative, (b): evaluate rc f dr, where c is the line segment from (0, 2, 0) to (4,0,3). 3: evaluate rc x2ydx + ln 1 + y2dy, where c is the triangle from (0, 0) to (2, 2) to (0, 2) to (0, 0). 6: evaluate rc f dr, where f(x, y, z) = xyi + yzj + zxk and c is the triangle with vertices (1, 0, 0), (0, 1, 0), and (0, 0, 1), oriented counterclockwise as viewed above.
