MATH 241 Study Guide - Midterm Guide: Cylindrical Coordinate System, Spherical Coordinate System, Saddle Point
10 Jan 2019
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Answer each question on a separate answer sheet. Be sure your name, section number, and problem number are on each answer sheet, and that you have copied and signed the honor pledge on the rst answer sheet. The point value of each problem is indicated. The exam is worth a total of 100 points. In problems with multiple parts, whether the parts are related or not, the parts are graded independently of one another. Be sure to go on to subsequent parts even if there is some part you cannot do. Please leave answers such as 5 2 in terms of radicals and do not convert to decimals. 4 y4: (25 points) find the points on the curve g(x, y) = 5x2 from, the origin. 6xy + 5y2 = 16 that are closest to, and furthest: (20 points) evaluate by reversing the order of integration: Z x sin(y2) dy dx: (30 points, 10 per part)
