Question

допоможіть будь ласка алгебра 11 клас​

Answer 1

Объяснение:

$\displaystyle\\y=\frac{4}{5} x^3\ \ \ \ \ \ \ \ A(1;\frac{1}{5})\ \ \ \ \ \ \ \ F(x)=?\\\\\\F(x)=\int\limits\frac{4}{5} {x^3} \, dx=\frac{4}{5}*\frac{x^4}{4} =\frac{x^4}{5}+C.\\\\\\A(1; \frac{1}{5} )\ \ \ \ \ \ \ \ \Rightarrow\\\\\\\frac{1}{5} =\frac{1^4}{5} +C\\\\\\\frac{1}{5}=\frac{1}{5} +C\\\\\\C=0\ \ \ \ \ \ \ \ \Rightarrow\\\\F(x)=\frac{x^4}{5}+0=\frac{x^4}{5}. \\\\\\OTBET:\ F(x)=\frac{x^4}{5}.$