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An ellipse is defined by 12 =1, a2b. Use the Lagrange multiplier technique to compute (a) the biggest circle that will fit inside the ellipse

An ellipse is defined by 12 =1, a2b. Use the Lagrange multiplier technique to compute (a) the biggest circle that will fit inside the ellipse and (b) the smallest circle that completely encloses the ellipse. Figure 8

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