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1.- Dada la función y = x3 - 4x2 + 5x, hallar la ecuación a las tangentes a dicha curva en el punto de abscisa x = 2 y el área limitada por la curva y el segmento de la recta OA.
2.- Dada la parábola y = x2 y la recta y = a·x calcular a para que el área del recinto limitado por ambas líneas valga 36 u2.
3.- Dados los puntos A(-1, -1) y B(1, 3) hallar la ecuación de la pendiente que pasando por el origen tenga por cuerda el segmento AB. Determinar el área del segmento parabólico limitado por dicha parábola y el eje X.
4.- Dada la curva y = x (x2 + bx + c) se pide: a) determinar b y c para que presente un máximo en x = 1 y un mínimo en x = 3; b) hallar el área limitada por la curva y el eje OX.
5.- Calcular el área de la región limitada por las parábolas y2 = 4x e y2 = x + 3 (Hacer representación gráfica del problema) [A = 8 u2]
6.- Hallar el área del recito limitado por las funciones:
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Enviado por: Joselu Idioma: castellanoPaís: España