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Maths
A Level

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 "...

JB
Answered by James B. Maths tutor
4792 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...

JB
Answered by James B. Maths tutor
10328 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...

NS
Answered by Nathaniel S. Maths tutor
3551 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...

JB
Answered by James B. Maths tutor
19461 Views

How do you differentiate X to the power of a?

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

JB
Answered by James B. Maths tutor
14039 Views

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