Test 3 - MATH 2007A Test 3 Solutions November 8...

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MATH 2007ATest 3 SolutionsNovember 8, 2013[Marks]1.Consider the parametric curve defined byx= 2t6 andy=t38.[10](a) Find thex- andy-intercepts.(b) Finddxdt,dydtand the slopedydxof the tangent at anyt.(c) Find the slopes of the tangents at thex- andy-intercepts.(d) Find the point(s) (x, y) where the tangent is horizontal or vertical.(e) Findd2ydx2and the intervals oftwhere the curve is concave up/down.Solution:

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