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1.- Dada una función g continua tal que:
a.- g ( 1 ) = 5
b.-
c.- f ( x ) =
a.- Demuestre que
b.- Determinar
2.- Hallar los valores extremos ( máximos y/o mínimos), si existen de:
F( x ) =
3.- Hallar el área de la figura limitada por la hipocicloide e el eje x.
4.- Hallar el área comprendida en el interior del círculo R = cos ( ) y por fuera de la cardioide R = 1 - cos ( ).
5.- Demuestre que las áreas de las regiones encerradas por la curva y el eje x, entre raíces consecutivas forman una progresión geométrica.
6.-.- Los promotores de una feria de distrito estiman que si las puertas se abren a la 9:00 a.m., horas después los visitantes entran a la feria a una razón de personas por hora. ¿Cuántas personas entrarán a la feria entre las 10:00 a.m. y el mediodía?
7.- Hallar la longitud de un arco de la cicloide:
18.- Demuestre que :
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Enviado por: John Arenas Riquelme Idioma: castellanoPaís: Chile