MATH 215 Final: finalw08
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Well, this is it: the end of 215. This exam contains ten problems, worth a total of 100 points. Your answers for these ve questions are to be entered in the table below. Problem zero has been done (correctly) as an example. No credit will be given for unsupported answers. The use of books, calculators, cell phones, computers, notes, cheat sheets, and all similar aids is strictly prohibited. 1 sin(x: the formulae for spherical coordinates are. Problem 1. (5 points) suppose ~u = h1, 2, 3i, ~v = h1, 1, 2i, and ~w = h 2, b, ci. If ~u ~v is parallel to ~w, then b c can be: 8, 4, 0, 4, none of the above. Problem 2. (5 points) the curve c is parameterized by r(t) = hcos(t), ln(cos(t)), sin(t)i for. If f (x, y, z) = 3/x, then rc f ds is: 2, 0, 2, 4, none of the above.
