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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 using ...
SJ
Answered by Saskia J. • Maths tutor
15063 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, -e...
KW
Answered by Katherine W. • French tutor
2780 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. This p...
AR
Answered by Annabel R. • Geography tutor
5814 Views

Why did Henry VIII break from the Roman Catholic Church?

First of all Henry VIII wanted a son to continue his line and create a dynasty. He previously had only had one daughter (Princess Mary) to his now old wife Catherine of Aragon. As she was past child bearing ...
AR
Answered by Annabel R. • History tutor
15896 Views

differentiate y=(5x-2)^5

25(5x-2)^4
MK
Answered by Miss K. • Maths tutor
4984 Views