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We know that both balls have the same kinetic energy, so we can write E_ka = E_kb We also know that kinetic energy is given by the equation E_k = 1/2 (mv²) and mom...

Binomial:

1. A single trial has only 2 possible outcomes: success or failure

2. A fixed number of trials, n

3. Trials are independent

...

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)^...