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Standard form (sometimes called standard index form), is a way of writing out numbers.
It is especially useful when it comes to VERY large or VERY small numbers, which normally would take lots of tim...

Whenever there is an equation in the form f(x)=u/w, the quotient rule tells us that:

   f '(x)= [w(du/dx)-u(dw/dx)]/v²  *It looks complecated but if you break it down, it is si...

First you must show that the statement on the right hand side is true for n=1:
Σ_i=0 i² when n=1, is equal to 1²=1
(1/6)(1+1)(1+2)=(1/6)(2)(3)=1
This means t...

To differentiate X^a, where a is any real number, you multiply X by a, and subtract 1 from the power.
i.e. d(X^a)/dX=aX^a-1

simulatneous equations are solved by eliminating one of the unknowns such as x or y. there are a number of ways to do this such as substitution or subtraction/addition. For this example we will use subtra...