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Put simply, mutually exclusive events cannot occur at the same time, e.g when tossing a coin, the result can either be heads or tails but cannot be both. Independence of events means the occurrence of one...

It is not clear what to do when starting, but we realise that by making both sides to the power of two, will lead to have an expression containing sin^2(x) + cos^2(x), which is equal to one (which will pr...

From the properties of logarithms (log_ba = log_ca / log_cb), 10log₉6 can be rewritten as 10(log₃6 / log₃9). Since log₃9 = 2, 10lo...

Firstly, we need to grasp the problem, and understand what the question is asking us to do. We are given a differential equation, and we are required to solve for y, i.e. write y as a function of x: y(x)=...

In order to answer this question, at first we need to use the method of substitution. That means, we're trying to replace x with a different variable u. Lets use the substitution of x = a tan u, then du/d...