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Lecture

# 10.1 Curves Defined by Parametric Equations Question #2 (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 #2 (Medium): Converting Parametric Equations into Cartesian Equation Strategy If the interval for parameter is not given, based on the parametric equations, make intuitive decision about the reasonable interval for t. Then create a table of values for , , and , using simple integers for preferably. Then plot the graph. To convert the parametric equations into Cartesian equations, write the expression for in terms of or , based on one of the parametric equations, then substitute that expression into the other parametric equation. Sample Question 1) Sketch the curve based on the parametric equations. Show with an arrow the direction the curve is traced as t increases.
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