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Lecture

10.2 Calculus with Parametric Curves Question #4 (Medium)

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Department
Mathematics
Course
MAT136H1
Professor
All Professors
Semester
Winter

Description
10.2 Parametric Equations & Polar Coordinates Calculus With Parametric Curves Question #4 (Medium): Horizontal & Vertical Tangents for Parametric Curve Strategy Tangent line is horizontal when its slope is equal to . Since , tangent line is horizontal when the numerator component Tangent line is vertical when its slope is undefined, meaning the denominator is equal to . Thus, for parametric equations, it is when . Sample Question Find the points on the curve where the tangent is horizontal and vertical. , Solution In order to find horizontal and vertical tangents, first and need to be determined. and For horizontal tangents,
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