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“The Treaty of Versailles was a fair settlement” How far do you agree with this statement?

I agree with the statement “The Treaty of Versailles was a fair settlement” to a certain extent. I know that Germany had been unmerciful during the war leading to thirty seven million casualties. Therefore “...
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Answered by Isabel D. • History tutor
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Let Curve C be f(x)=(1/3)(x^2)+8 and line L be y=3x+k where k is a positive constant. Given that L is tangent to C, find the value of k. (6 marks approx)

SO when we see the word tangent we should be thinking about rate of change. Recall that the line being a tangent means they meet and have the same derivative at this point OR we find k such that f(x)-y=0 has...
GJ
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Using Figure 5, assess whether the decision to install the machine (used in production in an independent fast food shop) will be beneficial for the business and the workers.

It is stated that the production of burgers can be split into different stages following the installation of the machine. This allows for the division of labour and the subsequent specialisation of workers w...
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Answered by Stefan D. • Economics tutor
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Given that f(x) = 1/x - sqrt(x) + 3. Find f'(1).

We are given that f(x) = 1/x - sqrt(x) + 3. Here, f(x) represents a function. A function is a relation or expression involving one or more variables. We are able to differentiate f(x) in order to find the gr...
Answered by • Maths tutor
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[based on MAT 2018 (G)] The curves y = x^2 + c and y^2 = x touch at a single point. Find c.

If helpful draw a diagram to see what is going on, but keep the time in mind! From your sketch it should be apparent that c must be positive and that the single point of contact of the curves is above the x-...
Answered by • MAT tutor
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