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Firstly, the polynomial is a cubic, and so we know what its graph looks like, hence it must have at least one real root, and a) is false. Computing a root would be time consuming, so instead we adopt a di...

We rearrange equation (1) to obtain an expression in terms of x. We then substitute this expression in place of x in equation (2), rearranging to find the numerical value of y. This value of y can then be...

As the derivative of e^x is e^x, so is the integral (plus some constant). As we wish to find the value of the integral from x = 1 to x = 2, we substitute x=2 into e^x, and from that we subtract e^x with x...

It is helpful to know here that both of these courts are for criminal purposes. A Magistrates court will typically be used for smaller crimes such as not paying your speeding fine or being caught with dru...

The most important thing to remember is that the present subjunctive (and past) is a mood rather than a tense. It doesn't refer to the time at which an action takes place but instead is used in impersonal...