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y = e^2x(x²+1)^5/2

The first step is to calculate dy/dx. We can do this by splitting y into two parts and using the chain rule of differentiation:

Recall that for two lines to be skew they must satisfy two conditions:

1) They must not be parallel.

2) They must not intersect.

We shall check each condition ...

Pythagoras' Theorem states that h² = a² + b² . This is where you have...

The first step to solving this problem is to treat it as a normal quadratic equation; if you are struggling with comparing our equation to a normal quadratic, try substituting sin(x) = y into the equat...

P(2 orange sweets) = P(orange sweet) * P(orange sweet)

(6/n) * (5/(n-1)) = 1/3

30/(n(n-1)) = 1/3

90 = n(n-1)

90 = n²-n

n...