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What is the difference between LCM and HCF?

LCM stands for Lowest Common Multiple , and HCF stands for Highest Common Factor . The key to telling the difference between these two things is knowing the difference between a multiple and a factor . A mul...
JC
Answered by Joe C. Maths tutor
123661 Views

find the integral of 1+3 root x

now for any integral the method to deal with it is look for the easiest method, things can get trickier later down the line but always start by looking for the easy solution. this example allows us to see it...
HD
Answered by Harry D. Maths tutor
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The element of a cone has length L. For what height H (with respect to L) will the volume of the cone be the largest?

This is a good exercise to introduce student to the idea of derivatives and their possible practical use. Firstly, I should draw the cone and notice that its volume is equal to 1/3 pi H*R 2 (where R - radius...
MK
Answered by Max K. Maths tutor
4626 Views

Consider the arithmetic sequence 5,7,9,11, …. Derive a formula for (i) the nth term and (ii) the sum to n terms. (iii) Hence find the sum of the first 20 terms.

We can easily identify the first term (5) The common difference can be found by subtracting the n th term from the (n+1) th term 7-5=9-7=11-9=2 Therefore: U 1 =5 and d=2 The IB formula booklet provides the g...
JN
Answered by Jan Niklas F. Maths tutor
7835 Views

Differentiate y=(3x-1)/(2x-1)

First, recognise that the function is a fraction and recall the quotient rule. y=u/v dy/dx=(vu'-uv')/v 2 , where u' and v' is the derivative of u and v respectively. Then, apply the rule. u=3x-1, v=2x-1 u'=3...
MM
Answered by Martin M. Maths tutor
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