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The solutions(x,y)of the equationx 2 + 16y 2 = 16form an ellipse as pictured below. Consider the pointPas pictured, withx-coordinate2. (a) Lethbe a small non-zero

The solutions(x,y)of the equationx²+ 16y²= 16form an ellipse as pictured below. Consider the pointPas pictured, withx-coordinate2.

(a) Lethbe a small non-zero number and form the pointQwithx-coordinate2+h, as pictured. The slope of the secant line throughPQ, denoteds(h), is given by the formula

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