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Re-arrange (1) : y = 2x + 4 Square both sides: y^2 = 4x^2 + 16 Substitute (1) into (2) and simplify: 2x^2 + 9x + 4 = 0 Factorise the equation: (2x+1)(x+4) = 0 Solve for x: x = -1/2 and x = -4 Substitute t...

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...