Question

Пожалуйста, номер 97.2

Answer 1

$frac{x^2}{9}-frac{y^2}{4}=1; ; ,; ; frac{y^2}{4}=frac{x^2}{9}-1; ; ,; ; y^2=frac{4}{9}cdot (x^2-9)\\x=3; ,; ; x=6; ,; ; y=0\\\V=pi intlimits^b_a, f^2(x), dx=pi intlimits^6_3frac{4}{9}cdot (x^2-9), dx=frac{4pi }{9}cdot (frac{x^3}{3}-9x)Big |_3^6=\\=frac{4pi }{9}cdot (72-54-(9-27))=frac{4pi }{9}cdot 36=16pi$