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Find the intersection points between the graphs y=2x+5 and y=x^2-9.

To do this, first draw a sketch of both graphs to see roughly what kind of result we should expect to get. We know that at the intersection points, the values of x and y for both graphs must be equal. so ...

Answered by Srinivass B. • Maths tutor

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Integrate by parts x2^x

Here we will use integration by parts because we have the product of two terms, x and 2^x. Using the integration by parts formula, we have to differentiate one of these terms and integrate the other. We c...

Answered by Thomas V. • Maths tutor

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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

2816 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

4122 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

6830 Views