Search over 10,000 free study notes

First of all draw the rectangle, name its sides and annotate its characteristics.
Define the data you have and what you are looking for.
Write down the general formula for the perimeter of a r...

We have our function of y = 1+2x-x² The gradient of a stationary (or turning) point is 0, in essence a peak or a trough. In order to determine the gradient, we need to differentiate our ...

Let's first consider the differential of 2^x. We know that this becomes ln(2)*2^x. We can compare this to the integrand and see that this is very clos...

Coefficient of Restitution (CoR): Speed of Approach x CoR = Speed of Seperation 4 x 0.3 = 1.2 ms^-1 Kinetic Energy (KE) Lost: KE lost = Initial KE - Final KE Initial KE = 1/2mv²      ...

Rearrage equation (1) to make y the subject of the formula. This gives y = -4x -1 .

Substitute this value of y into equation (2). This gives (-4x -1)^2 +5x^2 +2x = 0 . 

Expanding out the bra...