MATH 166 Final: MATH 166 Final Exam 12 Spring 2017

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This test is closed book and closed notes. A (graphing) calculator is allowed for this test but cannot also be a communication device (e. g. , your cellphones or tablets are not calculators). You do not need to simplify your answers unless otherwise indicated. When applying a test for convergence write what test is used (e. g. , comparison, integral, limit compar- ison, alternating series test, and so on). Show your work (legibly); answers without work and/or justi cations will not receive credit: find all vertical tangent lines to the parametric curve given by x(t) = t4 8t2, y(t) = 2t3 3t2 36t.