Search over 10,000 free study notes

First, you look for the difference between every number in the sequence, ie. what do you add to the first number to equal the second number? If you find that the difference is the same for every number, t...

To answer this we must remember that the derivative at a point on a curve, in this case x^2, is simply the value of the gradient of the line that just touches that point on the line. We can start by appro...

To solve this, we must use integration by parts as we can’t solve it directly. The formula for integration by parts is integral(UdV)=UV-integral(V*dU). The trick with this is to set dV=1 and to s...

This can be solved using Pythagoras. We know that the pole is 90 degrees to the floor so the height of the pole is the opposite side. The distance between Tim and the pole is therefore the adjacent and he...

whenever you move a term across the equals sign, the sign changes. So first we are going to move all of the x terms onto the left side and all of the number terms onto the right side, remembering that if ...