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Lecture

# 10.2 Calculus with Parametric Curves Question #2 (Medium)

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School
University of Toronto St. George
Department
Mathematics
Course
MAT136H1
Professor
all
Semester
Winter

Description
10.2 Parametric Equations & Polar Coordinates Calculus With Parametric Curves Question #2 (Medium): Finding the Equation of the Tangent Strategy Any equation of a tangent line follows after linear slope intercept equation form: So the goal is to find the slope and at the given parameter value , plug into each of the parametric equations for coordinate. Then rearrange the equation to find the last value which is the -intercept. Then by the definition of equation, leavand but only fill in theand . Sample Question Find the equation of the tangent to the curve at the point that corresponds to the given parameter value. , , Solution Any equation of tangent is given by a linear equation:
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