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Technically speaking, a gerund is a verbal noun and a gerundive is a verbal adjective. Gerunds and gerudnives both look very similar - the key feature in the words is a 'nd'. For example: amandi, vivendo, po...

By completing the square: ax^2 + bx + c = 0 => x^2 + (bx)/a + c/a = 0 (divide both side by a, since a is non-zero) => (x + b/(2a))^2 + c/a - (b/(2a))^2 = 0 (If this is not immediately clear, try expand...

Note: for what’s about to come, ' denotes derivative with respect to x. Method 1 (integration by parts): let I = (e^x)sin(x) dx let u = sin(x), u' = cos(x) and v' = e^x = v then integrate by parts, => I =...

The human circulatory system consists of the heart - a pump and a series of tubes - the blood vessels containing the blood. There is an atrium and a ventricle on each side of the heart and the two sides can ...

A reversible reaction is one where the reaction can occur both ways. Therefore, in a closed system where nothing can escape, some products made will always react in the reverse direction to make the reactant...