Here is a calculus problem from a class i teach. The problem itself illustrates the benefits of recognizing the fluidity and openness one can take in mathematics as the direct approach is ugly and messy but there is a simpler and elegant indirect way of solving this one too. Enjoy.

Find the equation of the line tangent to the ellipse b^2*x^2 + a^2*y^2 = a^2*b^2 in the first quadrant that forms with the coordinate axes the triangle of smallest possible area (a & b are positive constants)

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## BMAD

Here is a calculus problem from a class i teach. The problem itself illustrates the benefits of recognizing the fluidity and openness one can take in mathematics as the direct approach is ugly and messy but there is a simpler and elegant indirect way of solving this one too. Enjoy.

Find the equation of the line tangent to the ellipse b^2*x^2 + a^2*y^2 = a^2*b^2 in the first quadrant that forms with the coordinate axes the triangle of smallest possible area (a & b are positive constants)

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