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look for common factors but there are not any in this case, it is a quadratic with 3 terms therefore it can be factorised into 2 brackets. First we look at the first term, since 7 is a prime number you ca...

You should write a^x as (e^lna)^x = e^xlna . ln(a) is a constant, so use the chain rule to differentiate this: lna(e^xlna) = lna(a^x)

a x b = 8i + 24j - 42k

Here, we are asked to differentiate with respect to x. That is what dy/dx stands for. So, we are only concerned with the terms involving x; that is x^3 and 2x. To differentiate you need to time x (and its...

2 + 3 + 7 = 12

6000/12 = 500

7 x 500 = 3500

(3/5) x (3500) = 2100

2100 + 2(500) = 2100 + 1000 = 3100

(3100/6000) x 100 = 52%.