MATH 126 Final: MATH 126 UW Final Exam Fall 2011
Document Summary
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 10: (10 points) indicate whether each of the following is true or false. You do not need to explain your answer. (a) (b) (c) (d) Suppose the linear approximation of a function z = f (x, y) at the point (2, 3, 5) is l(x, y) = 5. Then (2, 3) is a critical point of f (x, y). The set of points {(x, y, z) : x2 + y2 = 4} is a circle. The dot product projuv u is zero for any two vectors u and v in r3.
