MATH 126 Final: MATH 126 UW Final Exam Winter 2012
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Ta"s name: this exam contains 9 problems. Check that you have a complete exam: this exam is closed book. 2 11 sheet of notes and a non-graphing, scienti c calculator. Do not share notes or calculators: 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. ) Page 1 of 9: (10 points) indicate whether each of the following is true or false. You do not need to explain your answer. (a) A vector is an object with two properties: length and direction. (b) (c) The planes x + y + z = 0 and x + y z = 1 are parallel. If r(t) is a vector-valued function such that |r (t)| = 1, then the unit normal vector n(t) is parallel to r (t). (d) The function f (x, y) = sin(x) sin(y) has in nitely many saddle points. (e)
