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To find velocity you differentiate displacement with respect to time

Therefore ds/dt = v = (3x2)t²-(12x2)t²+7

Implying v = 6t²-24t+7

630 = 5 x 126 126 = 2 x 63 63 = 7 x 9 9 = 3 x 3 so 630 = 2 x 3² x 5 x 7

The equation of a line is y=mx+c. The first step is to find m, which is the gradient. This is found by dividing the change in the y values, by the change in x values. So in this case, the gradient would b...

In this question, we have to find the roots of f(x) or, in other words, its zeros. This means that we have to find all of the values of x for which f(x)=0. Therefore, the first step is to write down our e...

Let us look at an example so we can see what is going on as we go through the method. Be cautious of just memorising the method; understanding it will make your life far easier.

Q: x² + ...