/sci/ - Science & Math

I have some math homework, /sci/, which I'm starting right now, but I need to get it done fast. If you guys could help me with whichever of the six questions here, while I work at it over here, that'd be nice.

Thanks, /sci/!

1) Indicate the signs of f '(x), x[-2,1] of:
a) f(x)=x^2 + 1
b)f(x)=x^3

2)Using induction, prove that if n is a whole number, 3^n ≥ n.

3)Find the middle value in [a,b] of:
a)f(x)=x^2
b)f(x)=x^3
c)f(x)=x

4)Show that the volume of a pyramid with a base of b, is equal V=1/3 bh.

5)Find the area between f(x) and g(x), if it exists, for:
a)f(x)=x^2, g(x)=x^3
b)f(x)=x^2, g(x)=x

6)Discuss the movement of a particle with position x(t)=t^3 - 4t^2 +12t -9 within the first 8 seconds of movement.
a)x(t)
b)V(t)
c)a(t)