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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

2724 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

4020 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

6712 Views

Explain why the moon is not pulled away from the Earth by the Sun.

The force of gravity decreases very rapidly with distance, since force is inversely proportional to distance². The Sun is much further away from the Moon than the Earth, so its gravitational a...

Answered by Alicia P. • Physics tutor

3785 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

17684 Views