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.
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.