Question

Answer 1

Chọn B

Answer 2

\(f\left(x\right)=\int f'\left(x\right)dx=\int\left(3x^2-e^x+1-m\right)dx=x^3-e^x+\left(1-m\right)x+C\)

\(\left\{{}\begin{matrix}f\left(0\right)=2\\f\left(2\right)=1-e^2\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}-1+C=2\\8-e^2+2\left(1-m\right)+C=1-e^2\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}c=3\\2\left(1-m\right)+C=-7\end{matrix}\right.\) \(\Rightarrow2\left(1-m\right)=-10\)

\(\Rightarrow m=6\)