MATH 126 Final: MATH 126 UW Final Exam Fall 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, non-programmable, scienti c calculator. Do not share notes or calculators: give your answers in exact form. Page 2 of 9: (12 points) suppose a 3-d curve is represented by the vector function r(t) = ht2 1, Page 3 of 9: (10 points) true/false. Answer each question with a t for true or f for false. No justi cation for your answer is needed. (a) If the t and n vectors of a vector function r(t) at t = 0 are j and k respectively, then the b vector at t = 0 is i. (b) There is a function g(x, y) such that gx(x, y) = x + sin(xy) and gy(x, y) = y + sin(xy). (c) For any vectors a and b, projab must be orthogonal to b. (d) (e) (f) (g)
