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What is the context for the presentation of service in The Tempest?

A key context for the presentation of service in The Tempest is that of Elizabethan/Jacobean colonialism. Explorations of the New World had received fresh impetus in the period during which Shakespeare wo...

Answered by Will T. • English Literature tutor

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Use integration by parts to find the integral of x sin(3x)

Firstly we remind ourselves of the integration by parts formula. The formula used to integrate u dv/dx with respect to x = uv - the integral of v du/dx with respect to x.
So the first thing we have t...

Answered by Marnie S. • Maths tutor

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F(X)= 4/(x-3) g(x)= (x+2)/x solve fg(a)= 1

4/(x-3)*(x+2)/x= 4x+8/ x²-3x
sub in a for x4a+8/a²-3athen equate to 1: 4a+8/a²-3a=1Times the bottom half of the equation up4a+8=a²-3aThe move the 4a+8 acr...

Answered by Esther J. • Maths tutor

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Calculate the percentage composition by mass of Lithium Sulfate, Li2SO4.

(Taken from GCSE WJEC Additional Science Book- First Published in 2012) and I have adapted the answer given.Relative atomic masses: Li = 7 ; S= 32 ; O=161) Calculate molecular mass of lithium sulfate (Li2...

Answered by Elinor L. • Chemistry tutor

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Complete the square and hence sketch the graph of f(x) = x^2 + 2x + 7

Consider (x + 1)^2, where we halved the coefficient of x to obtain 1. This gives us x^2 + 2x + 1, which looks similar to our function, except it differs by a constant value of 6, hence, by adding 6 to (x ...

Answered by Jordan P. • Maths tutor

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