Search over 10,000 free study notes

To solve this question we first need to multiply the top part of the two fractions together to get the top part of the answer: 7×3=21. Then we need to multiply the bottom part of the two fractions togethe...

We differentiate here to find the gradient, dy/dx, i.e. the differenitial of y in terms of x. As the right handside is purely dependant on x, this is simple. We can just multiply through by the power, i.e...

For a curve where y = f(x) the gradient of the curve is the derivative of this equation dy/dx. Stationary points of a curve occur when the gradient of the curve is zero. Hence find the expression for dy/d...

2x-5=3x+4 Firstly, you move the +4 to the other side (-5-4=-9). The equation should now look like: 2x-9=3x. You then move the 2x to the other side (3x-2x=x) so your answer would be x=-9

Firstly, we want to start off by calculating how many litres of diesel the lorry uses when it drives for 200 miles. We know that with 1 litre of diesel, the lorry can drive for 35 miles. Knowing this, we ...