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How do I break down (x-2)/((x+1)(x-1)^2) into partial fractions?

Firstly, let (x-2)/((x +1)(x-1) 2 ) = A/(x+1) + B/(x-1)+C/(x-1) 2 , where A,B and C are to be calculated. Then, multiply both sides of the equation by (x+1)(x-1) 2 which will leave an equation as follows; x-...
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Answered by Daniel O. • Maths tutor
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A curve C has the equation x^3 + 2xy- x - y^3 -20 = 0. Find dy/dx in terms of x and y.

Every term needs to be differentiated in terms of x: For the x 3 term , differentiated it becomes 3x 2 (multiply the whole term by the initial power, 3, and the reduce the power by 1 and replace it, 3 theref...
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Answered by Seb T. • Maths tutor
11476 Views

Why is the derivative of a function its gradient?

So, the easiest way to start thinking about this is by looking at straight lines. The gradient of a straight line is just its slope, which is the difference in the y values between any two points, divided by...
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Answered by Connor G. • Maths tutor
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Discuss Pedro Almodovar's creative influences and to what extent they are present within his films.

Pedro Almodovar's creative influences are clearly visible within many of his films and can be roughly divided into three categories; individual, personal and cultural. First of all, his individual influence ...
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Answered by Alice J. • Spanish tutor
8058 Views

What is the photoelectric effect?

The photoelectic effect is when photoelectrons are released from a metal that light is incident upon. The photoelectrons are only emitted when the photons of light are above a certain threshold frequency and...
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Answered by Gemma R. • Physics tutor
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