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Sea la semiesfera f (I, y) = VR2 - 12 - 32. considera la restriction 9 (T, y) = -x - y - 3c, donde

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Sea la semiesfera f (I, y) = VR2 - 12 - 32. considera la restriction 9 (T, y) = -x - y - 3c, donde 9(J, y) es un plano que corta a la semiesfera. Asume que Ry cson numeros reales conocidos. (a) Calcula los valores dexeydonde la semiesfera y el plano se intersectan. Calcula el valor del multiplicador de Lagrange necesario para obtener este resultado. (b) Encuentro la relacion entre Ry c tal que f(x, y) = c en el punto de intersection calculado en (a)

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