MATH 241 Midterm: MATH 241 UIUC Math241_Exam4_9AM_Spring10

• School: University of Illinois
• Department: Mathematics
• Course: MATH 241
• Professor: All

Document Summary

1ver1. (a) sketch the region d, in the rst quadrant of r2, enclosed by the curves y = y = x and y = 3x. (b) compute the area of d. 1ver1. (a) sketch the region d, in the rst quadrant of r2, enclosed by the curves y = y = x and y = 4x. (b) compute the area of d. 2ver2. (a) state the divergence form of green"s theorem. (b) compute the outward ux of the radial force eld f(x, y) := (x, y) across the circle of radius 2 centered at the origin. 2ver2. (a) state the divergence form of green"s theorem. (b) compute the outward ux of the radial force eld f(x, y) := (x, y) across the circle of radius 3 centered at the origin. 3ver1. (a) state the formula at the conclusion of stokes" theorem. (b) let s be the portion of the sphere x2 + y2 + z2 = 2 with z 1.