MTH 254 Midterm: MTH 254 Oregon State Midtermwarmup

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31 Jan 2019
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M a th 2 5 4 h s p rin g 0 1 m id term s tu d y g u id e. This page gives rst a topical outline of signi cant elements of the course. There follows some guided problems to help you test your understanding and computational facility. I and type ii: double integrals in polar coordinates, triple integrals in rectangular, cylindrical, and spherical coordinates, applications of multiple integrals: area, volume, mass, center of mass and centroid. Problem 1 use words to describe what the rectangular coordinates x, y, and z represent for a point (x, y, z) in r3. Problem 2 draw a picture to show what the cylindrical coordinates r, , and z represent for a point (r, , z) in r3. Describe the set of all points (r, , z) for which r = 2.