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12. Let a and b be positive real numbers. You have probably seen the equation + (y k)? a = 1 that generates an ellipse,

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12. Let a and b be positive real numbers. You have probably seen the equation + (y k)? a = 1 that generates an ellipse, centered at (h, k), with a horizontal axis of length 2a and a vertical axis of length 2b. a. Explain why the vector function r defined by r(t) = (a cos(t), bsin(t)). 0

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