MATH 230 Final: Math 230 230FinalS2014Draft5
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Be deducted if the majority of your answers are not boxed: usually, vector valued functions will be in bold, cross out any part of your answers that you do not want graded. Total: (15pts) let v(t) = (2 e t) i + cos( t) j + k be the velocity of a particle with initial position r(0) = (1, 0, 3). 0 z 2 y sin(x2) dx dy: (10pts) given. Zc (2x4 + 2xy) dx + (2xy y4) dy: (20pts) for each of the following vector elds f: i determine if the vector eld f is a conservative eld. If f is conservative, then nd a function f such that f = f. ii evaluate the line integral of f along the curve c. F dr. (a) f(x, y) = (x2 y2) i + (y2 x2) j. C is the line segment from (1,0) to (2,2). i determine if the vector eld f is a conservative eld.
