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Lecture

10.2 Calculus with Parametric Curves Question #3 (Medium)

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Department
Mathematics
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MAT136H1
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all

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10.2 Parametric Equations & Polar Coordinates Calculus With Parametric Curves Question #3 (Medium): Concavity Based on the 2 ND Derivative of Parametric Equations Strategy Concavity is determined by the second derivative. When the second derivative is positive, it is concave up; and when the second derivative is negative, it is concave down. Given for parametric ( ) equations, its second derivative is given by . Notice the numerator where derivative of is taken with respect to parameter , while it is still divided by . Once the
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