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Why did William the Conqueror succeed in the Battle of Hastings

Fortune, Energy, Leadership, Tactics. This anagram is the most useful way to remember how and why the Battle of Hastings was won by William the Conquerer. Although Harold Godwinson was in an advantageous pos...
HG
Answered by Hannah G. • History tutor
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Evaluate the following integral: (x^4 - x^2 +2)/(x^2(x-1)) dx

This type of question appears over-complicated with limited options, but one must not fear! At first, the numerator seems to be of a higher degree than the denominator (x^4 compared to x^2), but from the fir...
NH
Answered by Nicholas H. • Maths tutor
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Differentiate the function f(x) = 3x^2/sin(2x)

Using the product rule, f=uv, df = (vu'-uv')/v^2. we first set u = 3x^2 and v = sin(2x). u' = 6x, v'=2cos(2x) Therefore, vu' = 6x sin(2x). uv' = 6x^2 cos(2x), v^2 = 4cos^2(2x) Therefore the differential is [...
KS
Answered by Kilian S. • Maths tutor
6577 Views

Comment on whether an increase in saving will reduce inflation

If there is an increase in saving, then assuming that income stays exactly the same, this will mean that there is a fall in spending as we are saving a higher proportion of our income - or in other words our...
JK
Answered by James K. • Economics tutor
6908 Views

Solve algebraically the simultaneous equations: x^2+y^2 = 25 and y-3x=13

To answer this question, we need to make y the subject of the second equation. We can do this through simple rearrangement: y-3x=13 so y=13+3x Now that we have y on its own, this means we can substitute for ...
JK
Answered by James K. • Maths tutor
8885 Views