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How can I recognise when to use a particular method for finding an integral?

Often the question will ask you to use a particular method to integrate something, but sometimes they will not and you will have to recognise for yourself the best way to do it. There is often more than o...

LC
Answered by Lloyd C. Maths tutor
3872 Views

Calculate 7.6 x 32.5

Treat both numbers as whole numbers - i.e 76 x 325 (remember at the end that there are still decimals!) 76 x 325 = 24,700 ( This will be explained by using the two lines by 1st method or method that the s...

JH
Answered by James H. Maths tutor
3312 Views

x = 0.436363636... (recurring). Prove algebraically that x can be written as 24/55.

We need to multiply x by powers of 10 in order to get the recurring part on its own after the decimal point, and then be able to eliminate it. 10x = 4.363636... and 1000x = 436.363636...So subtracting we ...

JP
Answered by Joanna P. Maths tutor
27987 Views

solve x^2 - 2 < 2

Change the inequality to an equalsx2 -2=2solve as normalx2 -2=2-2x2 -4=0factorise(x-2)(x+2)=0so x=-2 and x=2However, how do you know if the answer is bigger or smaller tha...

AM
Answered by Alicia M. Maths tutor
3504 Views

A cylinder of base radius 2x and height 3x has the same volume as a cone of base radius 3x and height h. Find h in terms of x.

The equation for the volume of a cylinder is (1/2)pi(r2)*H, where r is the radius and H is the height of the cylinder. For the cylinder given, the volume is therefore (1/2)pi(...

GF
Answered by Georgie F. Maths tutor
6750 Views

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