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Maths
A Level

What is a parametric equation?

A parametric equation is one that is defined in terms of a single parameter, usually called t.
This means that, instead of the standard geometric equation, where y and x are defined by each other, e....

Answered by James B. Maths tutor
4465 Views

What is a complex number?

A complex number is one that is made up of a complex and real part, they can all be written as:
a+bi, where a and b are real numbers.
The thing that makes the number "complex" is "...

Answered by James B. Maths tutor
4483 Views

What is a moment and how do I calculate it?

A moment is the turning force that is exerted at right angles (perpendicular) to a pivot.
For example, on a see-saw, the moments would be the forces exerted on each end by the people sat on it. If th...

Answered by James B. Maths tutor
9307 Views

Differentiate F(x)=(25+v)/v

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...

Answered by Nathaniel S. Maths tutor
3258 Views

How to prove that (from i=0 to n)Σi^2= (n/6)(n+1)(2n+1), by induction.

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

Answered by James B. Maths tutor
18723 Views

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