Let T and N be the tangent and normal lines to the ellipse x2/9 + y2/4 = 1 at any point P on the ellipse in the first quadrant. Let xT and yT be the x- and y-intercepts of T and xN and yN be the intercepts of N. As P moves along the ellipse in the first quadrant (but not on the axes), what values can .:xT, yT, xN, and yN take on? First try to guess the answers just by looking at the figure. Then use calculus to solve the problem and see how good your intuition is.
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Essentials Of Statistics
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Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
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Single Variable Calculus: Early Transcendentals
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Mathematics: A Practical Odyssey
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