Search over 10,000 free study notes

While there are several ways to solve this, in this particular case I would favour the method of elimination. Since the value of y is the same and they have opposite signs, we can add the equations tog...

Since an x² is produced, we know that the factorised version will be (x+a)(x+b). To find a and b we need to consider the relationship between 2 and -8. It is going to be factorised into two brackets, d...

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 prod...

You can express tan(x) as sin(x)/cos(x). Therefore, tan(x)= sin(x)/ cos(x)The quotient rule can be applied here as there is a function of x in the numerator and denominator.Quotient Rule: (v*(du/dx) - u*(...

Algebra is the enemy of many a student, but I'm here to show you that this (and many more concepts in maths!) really aren't that bad. 

For this problem, we need to ...