MATH 126 Final: MATH 126 UW Final Exam Winter 2018

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31 Jan 2019
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Ta"s name: check that your exam contains 8 problems on 8 pages, this exam is closed book. 2 11 sheet of notes and a ti-30x iis calculator: unless otherwise speci ed, you should give your answers in exact form. (for example, 2 are in exact form and are preferable to their decimal approximations. ) Do not use scratch paper: raise your hand if you have a question. P q p r. (c) compute the point on the line given in part (a) that is closest to the point r( 1, 0, 1). Page 2 of 8: (12 points) consider the curve given by the vector function r(t) = (cid:28)t2 1, 2t, t3. Let s be the solid beneath z = 12xy2 and above z = 0, over the rectangle [0, 1] [0, 1]. Find the value of m > 1 so that the plane y = mx divides s into two pieces with equal volume.