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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=-2y. ...
RP
Answered by Rahul P. • Maths tutor
9146 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 critics ...
SO
Answered by Skye O. • English tutor
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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 negotiat...
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Answered by Ophelia N. • History tutor
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Derive the quadratic formula. From it, write down the determinant and explain, how is it related to the roots of a quadratic equation.

The general quadratic equation is ax^2+bx+c=0, now we need to Complete The Square, which allows us to have only one "x" term. First, divide the equation by "a", leaving us with x^2... x^2...
MK
Answered by Martin K. • Maths tutor
6929 Views

What are the major similarities between oxidative phosphorylation and non-cyclic photophosphorylation?

In terms of similarities, both processes involve generating a proton electrochemical gradient across a membrane, by pumping protons from an area of lower concentration to a higher concentration. This creates...
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Answered by Ollie W. • Biology tutor
37757 Views