MATH 241 Midterm: MATH 241 UIUC Math241_Exam4_2PM_Spring10

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

Document Summary

1ver2. (a) sketch the region d, in r2, enclosed by the curves 2x + y = 1, 2x + y = 3, y 3x = 0 and y 3x = 1. (b) compute the area of d. 1ver2. (a) sketch the region d, in r2, enclosed by the curves x + 2y = 0, x + 2y = 4, y 3x = 1 and y 3x = 2. (b) compute the area of d. Let f(x, y) := (sin x, x2y3) and c be the triangle in the plane with corner points (0, 0), (2, 0) and (2, 2). Find the counterclockwise circulation of f around c. Let c be the triangle in the plane with corner points (0, 0), (2, 0) and (2, 2). Com- pute zc sin x dx + x2y3 dy. Assume n points in the negative z-direction on s. Suppose that y = f (x), where f is a di erentiable function.