Let and be the tangent and normal lines to the ellipse at
Chapter 3, Problem 3.797(choose chapter or problem)
Let and be the tangent and normal lines to the ellipse at any point on the ellipse in the first quadrant. Let and be the - and -intercepts of and and be the intercepts of . As moves along the ellipse in the first quadrant (but not on the axes), what values can , , , and 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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