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There are some very useful rules when dealing with partial fractions 1) For every linear factor such as ax + b in the denominator, there will be a partial fraction of the form A / ax + b . 2) For every repea...

The method we use to differentiate this form of equation is called the chain rule. The chain rule is dy/dx = dy/du x du/dx We can rememeber the right way up of the terms on the right hand side by treating th...

This is a quadratic equation and as such it has zero, one or two solutions depending on the value of the discriminant (b 2 -4ac). In this equation, a=3, b=-6 and c=2 so b 2 -4ac = 36-24=12. As this is >0 ...

The easiest way to see this is with an example. So let us take the curve: x = cos(2t) , y = sin(t) with a point P where t = pi/6 The gradient at any point is equal to the derivative of y with respect to x at...

There are two ways of multiplying vectors: one gives you another vector (cross product) and the other gives you a scalar- a number, like 3, 18 or 196 352. Hence, dot product is also called the scalar product...