Originally Posted by **Confuzzled?**

1) For both of these functios, decide whether the function is always decreasing, the function is always increasing, or the function is sometimes increasing and sometimes decreasing.

a) x^3-3x+1

b) y=1-3x-x^3

2) Find the coordinates of the point on this curve at which the gradient is zero and determine whether the point is a local maximum or local minimum, giving reasons:

y= x^2+3/square root of x

3) A circular pipe has outer diameter of 4cm and thickness t cm.

a) show that the area of cross-section, Acm^2, is given by A= pi(4t-t^2).

b) Find the rate of increase of A with respect to t when t=1/4 and when t=1/2, leaving pi in the answer.

Can someone help me with the above? It would be much appreciated.