MATH 215 Final: finalf06
Document Summary
This exam contains nine 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 as an example. No partial credit will be given for the rst ve problems, so double check your work. The use of books, calculators, cell phones, computers, notes, cheat sheets, and all similar aids is strictly prohibited. Problem 0. (0 = 0 + 0 points) (a) (0 points) which of the following statements might, in stephen. Debacker"s opinion, be useful for this exam: sin2(x) + cos2(x) = 1 and cos(2x) = cos2(x) sin2(x, sin(2x) = 2 sin(x) cos(x) and sin2(x) = 1 + cos(2x: cos2(x) , the formulae for spherical coordinates are. Problem 2. (10 = 5 + 5 points) (a) (5 points) consider the curve c parametrized by r(t) = ht cos(t) sin(t), 2t2, t sin(t) + cos(t)i for 3 t 4.
