MATH 272 Final: MATH 272 Amherst S14M272 2801 Leise 29Final

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Show your work, and justify all your answers to avoid partial or complete loss of points. Partial credit will be given for solutions on the right track that might not be complete. Therefore it is recommended that you attempt all problems. The problems are organized by section, not by order of di culty: find the length of the curve r(t) = et+e t, a particle moves along the curve y = x2 + x3. Find the curvature and unit tangent vector along that curve at (1, 2). If the acceleration of the particle at the point (1, 2) is a = 3, 1 , nd its tangential and normal accelerations. , t for t [0, ln 2]. (simplify fully. ) 2: let f be the following function, f (x, y) ={ xy x2+y2.

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