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Split x^4/[(x^2+4)*(x-2)^2] into partial fractions and hence differentiate it

The answer to this question will be explained during the interview session

Answered by Arhant S. • Further Mathematics tutor

2651 Views

Sometimes, babies are born with a hole between the right and left ventricles of their heart. Why does this mean oxygenated blood cannot get around their bodies?

Higher pressure in the left ventricle (thicker wall, more contractile power) means that blood will cross from the left side of the heart to the right. This means that not as much oxygenated blood will be ...

Answered by Isobel H. • Biology tutor

3940 Views

What is the integral of x^2 sin(x) between the limits 0 and π/2

For this question, we have to integrate x²multiplied by sin(x). For integrating a product, you must use a method called integration by parts. Without bogging ourselv...

Answered by Ruth W. • Maths tutor

6611 Views

Use the chain rule to differentiate y=1/x^2-2x-1

First we will rewrite y so it is written with a power: y=1/x²-2x-1=(x²-2x-1)^-1 Now let u=x²-2x-1 => du/dx = 2x -2 Writing y in terms of u: y=u^-1 =...

Answered by Alicia P. • Maths tutor

17594 Views