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Use the binomial series to find the expansion of 1/(2+5x)^3 in ascending powers of x up to x^3 (|x|<2/5)

We want to rearrange the expression to the form (1+y)^n so we can use the general result: (1+y)^n=1+ny+[n(n-1)/2]y^2+[n(n-1)(n-2)/3!]y^3+... 1/(2+5x)^3 = (2+5x)^-3 = [2(1+5x/2)]^-3 = (2^-3)(1+5x/2)^-3 usi...

SJ
Answered by Saskia J. Maths tutor
12749 Views

Describe one of the differences between the criminal law and civil law systems

One of the main differences between the two systems would be regarding the parties to the case. In a civil law claim, there would be a claimant and a defendant (both generally individuals or companies) wh...

JM
Answered by Jared M. Law tutor
2144 Views

How do you form the subjunctive in French?

To form the subjunctive, we must look at the third person plural conjugation of the verb (the 'they' form). You remove the -ent ending and replace it with new subjuntive endings (-e, -es, -e, -ions, -iez,...

KW
Answered by Katherine W. French tutor
1987 Views

What is the process of freeze-thaw weathering?

This is where water enters the cracks on rocks and then during time of decreased temperatures the water freezes. As it freezes, the water expands which places a lot of pressure on the rocks around it. Thi...

AR
Answered by Annabel R. Geography tutor
4804 Views

White paint costs £2.80 per litre. Blue paint costs £3.50 per litre. White paint and blue paint are mixed in the ratio 3 : 2 Work out the cost of 18 litres of the mixture.

Amount of paint needed:

White paint = (18 ÷ 5) × 3 = 10.8 litres

Blue paint = (18 ÷ 5) × 2 = 7.2 litres 

Cost of white paint = 10.8 x £2.80 = £30.24

Cost of blue paint = 7.2 x ...

JM
Answered by Jared M. Maths tutor
3607 Views

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