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Describe the key features of the Truman Doctrine

The Truman Doctrine was created by President Truman in March 1947, in response to the perceived communist and authoritarian threat in Turkey and Greece. In a speech to Congress, Truman stated that "it m...
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Answered by Mary R. • History tutor
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Explain the need for enzymes in digestion.

Enzymes increase the rate of digestion. At body temperature it would be too slow without them. Enzymes break down large insoluble molecules into small soluble molecules so that they can be absored into the b...
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Answered by Caroline O. • Biology tutor
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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...
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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...
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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 [...
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Answered by Kilian S. • Maths tutor
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