MATH 126 Final: MATH 126 UW Final Exam Fall 2017
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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. Page 1 of 8: (12 points) below are a series of multiple choice questions. You do not need to show your work. (a) let p be the plane given by the equation 2x + y z = 5. Which of the following best describes c: a cone b. an elliptic paraboloid c. a hyperboloid of two sheets d. none of these (c) suppose |a b| = |a||b| > 0. Page 3 of 8: (12 points) find and classify all critical points of f (x, y) = 2x3 + 9xy2 + 15x2 + 27y2.
