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Lecture

# 10.1 Curves Defined by Parametric Equations Question #4 (Medium)

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

Description
10.1 Parametric Equations & Polar Coordinates Curves Defined by Parametric Equations Question #4 (Medium): Parametric Equations for Circle & Ellipse Strategy Given that and representing a unit circle with radius , shift of units in the - direction and units in the -direction is represented by and . This is a circle with radius centered at where If and where then it is an ellipse centered at the origin, with radius stretch of from the origin about the -direction and stretch of radius by in the -direction. Like the circle, the center of the ellipse can shift by by being added unto the parametric equations for and . Sample Question Describe the motion of a particle with position as varies in the given interval. , , Solution The parametric equations
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