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A curve is described by the equation (x^2)+4xy+(y^2)+27=0. The tangent to the point P, which lies on the curve, is parallel to the x-axis. Given the x-co-ordinate of P is negative, find the co-ordinates of P.

Firstly, implicitly differentiate the function to find dy/dx in terms of y and x: dy=dx = (-x-2y)/(2x+y). Secondly, set this equal to zero to obtain an expression of y in relation to x or vice versa: x=-2...

RP
Answered by Rahul P. Maths tutor
8763 Views

How do you know whether to use a or à in a sentence?

If can replace a with 'avait' for instance they you do not need an a with apostrophe. i.e je vais à la cantine. (the sentence would not make sense if you were to replace à with avait hence you need 'à' an...

DO
Answered by Dominique O. French tutor
2301 Views

How do you engage with critics in an essay?

This is a key skill which confuses a lot of people and really marks out A* candidates. It needn’t be all that difficult and with eight techniques you can have it in the bag. Firstly, try to consider criti...

SO
Answered by Skye O. English tutor
12512 Views

What are the half equations representing the changes of Pb2+ and Br- in the electrolysis of lead bromide?

Pb2+ + 2e- -> Pb 2Br- -> Br2 + 2e- Lead ions undergo reduction (gain of electrons) at the negative electrode to form solid lead. Bromide ions undergo oxidation (loss of electrons) at the positive el...

SF
Answered by Sophie F. Chemistry tutor
41412 Views

How absolute was the monarchy under Louis XIV?

I would begin tackling this question with the student by asking them to define the term 'absolutism', as defining the parameters of the question is essential for higher level History. 'Absolutism by negot...

ON
Answered by Ophelia N. History tutor
2836 Views

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