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PARAMETRIC EQUATIONS AND POLAR COORDINATES

10. PARAMETRIC EQUATIONS AND POLAR COORDINATES. PARAMETRIC EQUATIONS & POLAR COORDINATES. So far, we have described plane curves by giving: y as a function of x [ y = f ( x )] or x as a function of y [ x = g ( y )]

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Parametric Equations

Parametric Equations. Section 1.4. Relations. The key question: How is a relation different from a function ? . A relation is a set of ordered pairs (x, y) of real numbers. The graph of a relation is the set of points in a plane that correspond to the ordered pairs of the relation.

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MODULE 8 Parametric Equations

MODULE 8 Parametric Equations. Parametric Equation. An equation where the x and y variables are defined in terms of a third variable t These equations will give you the position of an object at a given time t

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Section 11.1

Section 11.1. Curves Defined by Parametric Equations. PARAMETRIC CURVES. Suppose that x and y are both given as functions of a third variable t (called a parameter ) by the equations x = f ( t ) y = g ( t )

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PARAMETRIC EQUATIONS AND POLAR COORDINATES

RELATED RATES PROBLEMS

Parametric Equations

MODULE 8 Parametric Equations

Section 11.1