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Let C : x^2-4x+2k be a parabola, with vertex m. By taking derivatives or otherwise discuss, as k varies, the coordinates of m and, accordingly, the number of solutions of the equation x^2-4x+2k=0. Illustrate your work with graphs

Write y=x2-4x+2k. And m:= (xm, ym) for the coordinates of our vertex. We deduce that x is exactly the value of x for which y'=2x-4=0, because m is a minimum p...

Answered by Massimiliano V. Maths tutor
2705 Views

When should I use the subjunctive?

The subjunctive in French is a special verb form (called a mood) which is used to express doubt or uncertainty, for example following phrases such as 'je ne pense pas que', 'je doute que', 'je ne crois pa...

Answered by Christopher M. French tutor
1415 Views

Why does Sodium Chloride have a high melting point?

Sodium Chloride has a high melting point, as it has a giant ionic lattice hence has strong electrostatic forces of attraction between oppositely charged ions, which requires lots of energy to overcome the...

Answered by Vithullan S. Chemistry tutor
33807 Views

What are your top tips for the interview process?

The main thing to remember for Oxbridge interviews is to enjoy them! They are an incredible opportunity to talk one-to-one with an expert in your subject, so you can use the time to ask them questions abo...

Answered by Bridget T. Oxbridge Preparation tutor
1209 Views

To what extent was the Treaty of Versailles the most important result of the First World War?

To answer any question in history we need to pull out key terms from the wording of the question. In this question, 'Treaty of Versailles' and 'most important result' are the key terms, so keep them at th...

Answered by Lucy T. History tutor
2691 Views

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