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Consider the Matrix M: M= a b       c d  First, find the determinant. To do this, we use the formula:  det(M) = ad - bc Then plug the information into the formula used to find the inverse: 1/det(m) x   c ...

The key assumptions under traditional economic theory are that economic agents are utility-maximisers and rational in their actions. Economic agents are assumed to have compared the costs and benefits of ...

In order to integrate (cosx)^3, there is no given rule (by-parts, 'try' method, chain rule) which we can follow. We would need to split it into (cosx)^2 and cosx. Then use the identity: (sinx)^2 + (cosx)^...

As you go down group 1, the reactivity increases. This is because each element has only one electron in their outer shell, so need to lose this electron in order to react. As you go down group 1, the numb...

We can think of any solution of this equation as a string of twelve 1's and two 0's. For example, one such solution could be a=6, b=2 and c=4. In this case we would write the solution as 11111101101111. W...