invisible war歌詞

《invisible war》的歌詞如下:

Verse 1:

The war is invisible

It’s all around us

In the air we breathe

In the things we buy

Chorus:

But we don’t see it

We don’t feel it

It’s a war that’s fought

In our minds and hearts

Verse 2:

The bombs are silent

No sound is heard

Except the ones inside

That we can’t ignore

Chorus:

But we don’t see it

We don’t feel it

It’s a war that’s fought

In our minds and hearts

Bridge:

We must stand up

And speak out loud

This is a war

That we cannot lose

Chorus:

We must see it now

We must feel it too

This is a war

That we must win

Outro:

The war is invisible

But it’s real已知函式f(x) = x^3 - 3x^2 + 9x - 2在區間[a,b]上的值域為[a,b],求a和b的值。

解:因為$f(x) = x^{3} - 3x^{2} + 9x - 2$,所以$f^{\prime}(x) = 3x^{2} - 6x + 9$,令$f^{\prime}(x) = 0$,得$x = 1$或$x = 3$,當$x \in ( - \infty,1)$時,$f^{\prime}(x) < 0$,函式單調遞減;當$x \in (1,3)$時,$f^{\prime}(x) > 0$,函式單調遞增;當$x \in (3, + \infty)$時,$f^{\prime}(x) < 0$,函式單調遞減.所以當$x = 1$時,函式取得極小值$- 2$;當$x = 3$時,函式取得極大值$9$.因為函式在區間$\lbrack a,b\rbrack$上的值域為$\lbrack a,b\rbrack $,所以$a = - 2,b = 9$.所以實數a的值為$- 2$,實數b的值為$9$.