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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 ...

Answered by Gurbir J. • Further Mathematics tutor

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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 worker...

Answered by Stefan D. • Economics tutor

2354 Views

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...

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...

Answered by • MAT tutor

1708 Views

What is the difference between 'qui' and 'que' in subordinate clauses?

'Qui' and 'que' are relative pronouns, both meaning either 'who' or that'/'which'. The problem is that the French grammar works differently to English grammar when it comes to relative pronouns, meaning a...

Answered by Annie H. • French tutor

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