MATH 126 Final: MATH 126 UW Final Exam Winter 2016

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31 Jan 2019
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Ta"s name: check that your exam contains 8 problems, this exam is closed book. 2 11 sheet of hand-written notes and a: 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. Let l be the line that passes through (1, 0, 2) and (6, 5, 7). Find the (x, y, z) point of intersection of the line l and the plane p . At time t = 1, the bug leaves the curve and follows the path of the tangent line. Find the (x, y, z) coordinates where the bug"s tangent line path would intersect the xy-plane. Page 3 of 8: (12 points) consider the polar curve given by the polar function r = 2 + sin( ).