Parametric Function: Let x = 3 cos t and y = 2 sin t. If you draw an xy-graph for

Chapter 4, Problem 4

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Parametric Function: Let x = 3 cos t and y = 2 sin t. If you draw an xy-graph for various values of t, the result is called a parametric function. The elliptical path traced on the floor by a pendulum that is free to swing in any direction is an example of such a function. Put your grapher in parametric mode. Enter x = 3 cos t and y = 2 sin t. Use a window with x- and y-ranges like those shown in Figure 4-1a. Use a t-range of 0 to 2 , with a t-step of 0.1. Plot and sketch the graph. Does the graph really seem to be an ellipse?

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