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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 would...
WT
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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 to decide...
MS
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/ x 2 -3x sub in a for x4a+8/a 2 -3athen equate to 1: 4a+8/a 2 -3a=1Times the bottom half of the equation up4a+8=a 2 -3aThe move the 4a+8 across to get a 2 -7a-8=0Factorise (a+1) (a-8)
EJ
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 (Li2SO4...
EL
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 + 1...
JP
Answered by Jordan P. Maths tutor
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