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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<...

DO
Answered by Daniel O. Maths tutor
3731 Views

White paint costs £2.80 per litre. Blue paint costs £3.50 per litre. White paint and blue paint are mixed in the ratio 3 : 2. Work out the cost of 18 litres of the mixture.

The ratio given tells us that our paint mixture of 18 litres consists of 3 + 2 = 5 parts.

Each part therefore consists of 18/5 = 3.6 litre...

VO
Answered by Vicente O. Maths tutor
3265 Views

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 x3 term, differentiated it becomes 3x2 (multiply the whole term by the initial p...

ST
Answered by Seb T. Maths tutor
10150 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...

CG
Answered by Connor G. Maths tutor
5095 Views

what is the gradient and y intercept of the equation y=7x+7

gradient =7 y intercept = 7

ME
Answered by Mohammad E. Maths tutor
3678 Views

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