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To start we need to set up the equation described by the question. Our answers should be in the form a + bi (where a and b are real), and since any answers are the root of 3 + 4i we can write down the fol...

To solve this problem we need a formula. Integral of y²dx multiplied by pie. First we square the questions of the curve we are given (sinx)² . Next we apply double angle formula to r...

1. Identify de Moivre's Theorem: (cos(x) + isin(x))ⁿ = cos(nx) + isin(nx) 2) Deduce the correct value of n for the given problem. In this e...

For a second order differential equation, our auxiliary equation, am²+bm+c=0, has two roots. Let's denote these roots as A and B. Note that A and B can be the same if there is a repeated root, ...

The events recorded by X occur randomly, independently, singly in space and time and at a constant average rate (an average (mean) rate proportional to the length of the interval).