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Maths
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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
11358 Views

What is "Standard Form"?

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...

JB
Answered by James B. Maths tutor
20950 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
3810 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
20120 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
15892 Views

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