2007Test3Solutions - MATH 2007A Test 3 Solutions November 9...

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Calculus: Early Transcendental Functions
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Chapter 13 / Exercise 32
Calculus: Early Transcendental Functions
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MATH 2007ATest 3 SolutionsNovember 9, 2017[Marks]1. Evaluate the improper integral or show that it diverges.[8]
002. Consider the parametric curvex= 2t2+ 6t,y=t2+ 4t.[6](a) Finddydx.(b) Findd2ydx2.
3. Consider the parametric curvex= 2t,y= 2t3-3t2.[10](a) Finddydx.(b) Find the value(s) oftand the corresponding point(s) (x, y) where the tangent ishorizontal.(c) Find the equation of the tangent line att= 2.(d) Findd2ydx2.(e) Find the intervals oftwhere the graph is concave up and the intervals where itis concave down.
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Calculus: Early Transcendental Functions
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Chapter 13 / Exercise 32
Calculus: Early Transcendental Functions
Edwards/Larson
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