MAT 307 Midterm: MAT 307 SBU Fall 10 Exam 2
31 Jan 2019
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There are 6 problems on 5 pages in this exam (not counting the cover sheet). You may use a calculator if you wish, provided your calculator does not do calculus. How- ever, it is unlikely to be of much help. Do all of your work in this exam booklet, and cross out any work that the grader should ignore. You may use the backs of pages, but indicate what is where if you expect someone to look at it. Books, extra papers, and discussions with friends are not permitted. You have about 79 minutes and 47 seconds to complete this exam. Calculate the gradient of f when x = 0 and y = Write the equation of the plane tangent to the surface z = f (x, y) at the point(cid:18)0, A particle is moving along the curve (t) = (cid:28) . 2 change of f (x, y) along this curve when t = /2. cos t,
