'Parametric curve' diaporamas de présentation

Intro

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EDITING

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10.1

Parametric Functions. 10.1. In chapter 1, we talked about parametric equations. Parametric equations can be used to describe motion that is not a function. If f and g have derivatives at t , then the parametrized curve also has a derivative at t.

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In other words, at time t , the particle is located at the point

In other words, at time t , the particle is located at the point. Sketch the curve with parametric equations. CONCEPTUAL INSIGHT The graph of a function y = f ( x ) can always be parametrized in a simple way as c ( t ) = ( t , f ( t ))

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Laboratory No. 4

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10.1

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6.3

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Parametric Representation of Curves

Parametric Representation of Curves. Lesson 9.4. Parametric Representation. Define variables (x,y) to be each functions of some other variable usually t for t ime So x = g(t) and y = h(t) The calculator has a parametric mode. Parametric Mode on Calculator.

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1.4 Parametric Equations

1.4 Parametric Equations. Date Calculus AB Ms. Brewer. Vocab/Formulas. Relation: set of ordered pairs (x,y) of real numbers. If x and y are functions of t (the parameter), you can use parametric mode in a calculator. Example 1: Graph the half parabola using the parametric equations.

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Sec 11.1 Curves defined by Parametric Equations

Sec 11.1 Curves defined by Parametric Equations. DEFINITIONS : A parametric curve is determined by a pair of parametric equations : x = f ( t ), y = g ( t ), where f and g are continuous on an interval a ? t ? b . The variable t is called a parameter .

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10.1 Parametric Equations

10.1 Parametric Equations. Parametric Curve: ( f(t) , g(t) ) Parameter: t x = f(t) y = g(t). Ex 1: A cool problem!.

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True or False: The exact length of the parametric curve {image} is {image} .

True or False: The exact length of the parametric curve {image} is {image} . True False. 1. 2. 3. 4. Find the distance traveled by a particle with position ( x, y ) as t varies in the given time interval. Compare with the length of the curve. {image}. {image} {image} {image} {image}.

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