MAC 2313 Midterm: MAC 2313 FIU Exam f12k
15 Feb 2019
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The surface z2 x2 y2 = 1 is a hyperboloid of two sheets. If f (x, y) is continuous on the disk x2 + y2 1, and is not constant, then it has a. The distance traveled by a particle from time t = 0 to t = 1 is the norm of the displacement vector. Stoke"s thm is a standard method for computing the work done on a particle moving on a simple closed curve. The set in r2 where x2 + y2 > 0 is simply-connected: [15pts] use green"s thm to nd the work done by the force eld. Hints to save you some time: neither extrema occurs on the. They occur on the interior and/or the coordinate axes. Also, this problem is taken from ch 13. 8 (max/min). You may include a picture, but also explain the ideas in words.
