\[\boxed{\text{363\ (363).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[y = - x^{2} - 8x + 10\]
\[1)\ \lbrack - 5;\ - 3\rbrack\]
\[y( - 5) = - 25 + 40 + 10 = 25\]
\[y( - 4) = - 16 + 32 + 10 = 26\]
\[y( - 3) = - 9 + 24 + 10 = 25\]
\[Ответ:y_{\max} = 26.\]
\[2)\ \lbrack - 1;0\rbrack\]
\[y( - 1) = - 1 + 8 + 10 = 17\]
\[y(0) = 10\]
\[Ответ:y_{\max} = 17.\]
\[3)\ \lbrack - 11;\ - 10\rbrack\]
\[y( - 11) = - 121 + 88 + 10 =\]
\[= - 23\]
\[y( - 10) = - 100 + 80 + 10 =\]
\[= - 10\]
\[Ответ:\ y_{\max} = - 10.\]