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a) We compare the expansion given to the standard binomial expansion (remembering the powers of k).(1+kx)ⁿ=1+n(kx)+(n(n-1)/2)(kx)²+...As this is true for all x (for which the expansi...

First, recall the Product rule: f(x)=g(x)*h(x), f'(x)=h(x)*g'(x)+h'(x)*g(x)This reveals the next step, to find the derivatives of our two subsidiary functions(g and h) d/dx * (sin4x) = 4cos(4x) , and d/dx...

Median: Order the values from lowest to highest: 45, 49, 50, 56, 56, 58, 67. Pick the middle value. Answer = 56 g.Mode: The most common value. Answer = 56 g.Mean: Add all the values up, then divide the re...

First, I would take into account the important parts of the question. I'm looking for an answer in the form of "a√10, where a is an integer". I would explain if not known that an integer is just...

I would first take into account all the variables - there are red, blue and purple counters, we know the ratio of red to blue and we know the probability of purple is 0.2.
As I know the probability t...