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Let y = x^x. Find dy/dx.

This question is suited to A2 maths students, particularly those who are doing further maths and may be looking for a challenge. In one question it tests the students ability to use implicit differentiati...

Answered by James G. Maths tutor
5091 Views

An elastic wire suspended from a workbench has a 2kg mass attached to its free end. The wire changes in length by 2cm. Calculate the elastic potential energy stored in the wire.

Using Hooke's law (F = k * e) we can find the spring constant. Rearranging for k, we find that k = (9.81 * 2)/0.02 = 981 N/m. To calculate this we needed to find the force acting on the wire (F = mg) and ...

Answered by James G. Physics tutor
1679 Views

What is an atom?

It is composed of Protons, Neutrons and Electrons.
The Proton is positively charged and is present in the central nucleus part of the atom.The Neutron has no charge and also is present in the nucleus...

Answered by Sam B. Physics tutor
1563 Views

Factorise 3x^2+15x

Firstly we need to understand what the question is asking us to do. Factorise means we need to take out the Highest Common Factor (HCF) that each term can be divided by.The two terms in this question is 3...

Answered by Hinesh C. Maths tutor
3541 Views

f(x) = (x^2 + 3)/(4x + 1) x != -1/4 find the set of values for which f(x) is increasing.

First we have to find the first derivative of f(x), we do this using the quotient rule. Once we have obtained the first derivative, we know this gives us the rate of change of f(x), we can therefore say t...

Answered by Lewis H. Maths tutor
3005 Views

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