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I'd start by drawing out any rectangle with an area of 20cm^2 and labelling the length and width. Any correct combination will do (i.e. 2 X 10, 4 X 5, 20 X 1 etc.). In this example, I will use 4 X 5 Then ...

First we calculate du/dx = -2x and rearrange to get dx as the subject, dx=du/(-2x). Now we change the limits of integration because we are now integrating with respect to u. So the bottom limit will be u(...

There are two ways to solve this equation. In the first method, we can simplify the quadratic by observation into two linear equations multiplied together, giving us (2x + 1)(x + 1) = 0. We can then set e...

By the quadratic formula, where a = 3, b = 5, c = 2 x = -2/3 and x = -1

The passive periphrastic is a Latin construct to express a sense of necessity in an action. It's called passive because it is expressed in a passive tense, so it's usually better to change it back to its ...