Advanced Math Archive: Questions from July 12, 2023
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Sea f(x,y,z)=(x^4y^2z^5)/40. Entonces ∇f =
<(x^3y^2z^5)/10,(x^4yz^5)/20,(x^4y^2z^4)/8> ,
y Duf(2,−1,1) en la dirección de 〈2,2,−1〉 es ?
No sé cómo hacer esta última parte, ¿alguie
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Considere el problema del flujo de calor
ut = kuxx − hu, 0 < x < 1, t > 0,
u(0, t) = u(1, t) = 1, t > 0,
u(x, 0) = g(x), 0 ≤ x ≤ 1,
donde k, h > 0. Encuentre la solución de esta
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