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10.5_bzat4e

# 10.5_bzat4e - Section 10.5 Parametric Equations Plane...

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Section 10.5 Parametric Equations

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Plane Curves and Parametric Equations

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Graphing Plane Curves

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2 Find the values of the plane curve defined by the parametric equations: x=t 2 1 y=3t for -3 t 3 t - + 2 t x=t 2 1 y=3t (x,y) -3 -2 -1 0 1 2 3 t - +
2 Graph the plane curve defined by the parametric equations: x=t 2 1 y=3t for -3 t 3 Use the information from the previous slide. t - + Example

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Eliminating the Parameter
Finding and Graphing the Rectangular Equation of a Curve Defined Parametrically

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Example 2 For the following parametric equations, eliminate the parameter t. x=t 2 1 y=3t for -3 t 3 t - +
Example Sketch the plane curve represented by the parametric equations x=3 1 y=2 for 0 t by eliminating the parameter. t t + -4 -3 -2 -1 1 2 3 4 5 -4 -3 -2 -1 1 2 3 4 x y

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Example 2 2 Sketch the plane curve represented by the parametric equations x=3cos y=sin for 0 t by eliminating the parameter. sin cos 1 t t t t π + = -4 -3 -2 -1 1 2 3 4 5 -4 -3 -2 -1 1 2 3 4 x y
Finding Parametric Equations

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