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This kind of question is an application of differentiation. If t represents time, any derivative with respect to t is a rate of change. For example, if h represents the depth of water in a cubicle con...

Suppose we have completed the square on y=ax^2+bx+c and attained y=a(x+p)^2+q, where a,b,c,p,q are real numbers with 'a' not equal to zero and p,q can be...

The quadratic formula is the formula that solves any quadratic equation. So, keeping things general, let's begin with a completely general quadratic equation:

ax²+bx+c=0
...

Firstly put the equation into the the form (x+a)(x+b) this will make things easier later on.

Therefore, an equation such as (x+1)² would become (x+1)(x+1)

Next expand the br...

Any geometric series is defined by an initial term a, and a common ratio b. This means that we start with a and multiply by b to get eac...