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First we need to use trigonometric identities to convert the sin^3(x) to a single power. This is because we cannot integrate trigonometric functions that are above the power of 1. We need to use the doubl...

First, we need to work out the length of each 'part' of string. We are told Jake cuts the string into the ratio 4:3:2 , so there are (4+3+2=9) 9 parts in total. To work out how long each part is, we calc...

The equation of a straight line is: y = mx + c
There is a 'y term', y, and an 'x term', x.
The gradient of the line, m, is the slope of the straight line. The larger the value of m, the...

To find the X intercept of an equation you can make Y = 0 and then solve for X. To find the Y intercept of an equation you can make X = 0 and then solve for YWhen you plot the equation on a graph with axi...

The fact that y is directly proportional to x gives us that y=kx, where k is some constant.Firstly, we need to find the value of this constant, using the pair of values we are given in the question. We su...