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Firstly, note the general equation for a quadratic: ax^2+bx+c. We can see that in the above equation, a=1, b=2 and c=-8. When factorising we have to consider the product ac and b. ac=1(-8)=-8 and b=2. Now...

The cases help us to identify the noun's role in the sentence and make the article of the noun change depending on the case, gender and number. Nominative is the subject of the sentence (who's doing the a...

We define gravitational potential as: the work done to bring a small "test" mass from infinity to a point. But what does this truly mean?

1. The "work done" is simply the...

The death of Edward the Confessor in early 1066 would prompt one of the most significant military campaigns in English history, the invasion of William of Conqueror. The reasons for William's invasion of ...

Taking the value at the ordinates f(1) = 13/4, f(2) = 20/4sqrt(2), f(3) = 39/4sqrt(3), f(4) = 9.5 Then the trapezium rule states the integral is approximately 1/2 * [f(1) + 2f(2) + 2f(3) + f(4)], which (u...