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Maths
A Level

Solve the equation d/dx((x^3 + 3x^2)ln(x)) = 2x^2 + 5x, leaving your answer as an exact value of x. [6 marks]

This may look complicated at first but it can be broken down into a number of simple steps...

For the left side of the equation, the d/dx tells you we are differentiating and since (x

RH
Answered by Robbie H. Maths tutor
7626 Views

How do you rationalise the denominator?

Defintions

Rationalising the denominator means rewriting a fraction so that the bottom only contains rational numbers.

Remember: A rational number is one that can be ...

JO
Answered by John O. Maths tutor
6012 Views

How would you sketch the curve of a graph?

A frequent question the comes up in the early parts of core maths is; how would you sketch the graph of a function f(x)?

Sketching just means that you would have to find some key points o...

KW
Answered by Kieran W. Maths tutor
4285 Views

What are volumes of revolution and how are they calculated?


Volumes of revolution are contructed by a fuction of x, y=f(x), rotated 360 degrees, or 2pi radians around the x asxis. For example, a function of y=2 would create a cylinder of radius 2 in its ...

JA
Answered by Jack A. Maths tutor
7801 Views

How do we solve a second order, homogeneous, linear differential equation?

First of all let's think about what this really means:

Homogeneous means that all term in the differential equation contain the dependent variable(in most cases y). The dependent variable...

AP
5183 Views

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