MAC 2313 Final: Final-Exam-Review-MAC-2313-1

• School: University of Florida
• Department: Math-Calculus & Precalculus
• Course: MAC 2313
• Professor: All

Document Summary

The formula sheet (page l34-10) will be provided on the test. The review below is not designed to be comprehensive, but to be representative of the topics covered on the exam: find div ~f and curl ~f . 1 + x2 , arctan(x), 2z(cid:29: a vector eld ~f , a curve c and a point. S (x2z + y2z)ds, where s is the part of the plane z = 4 + x + y that lies inside the cylinder x2 + y2 = 4. (2) zz. ~f d~s, where ~f = hxz, 2y, 3xi and s is the sphere x2 + y2 + z2 = 4. ~f d~s, where ~f = hx2, xy, zi and s is the part of paraboloid z = x2+y2. ~f d~s = 0. (5) the area of the region bounded by the positively oriented, piecewise.