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In statistics, what is the benefit of taking a sample survey rather than a census?

Taking a sample survey is quicker, cheaper and easier to carry out than a census. 

Answered by Emma G. • Further Mathematics tutor

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Solve the second order differential equation d^2y/dx^2 - 4dy/dx + 5y = 15cos(x), given that when x = 0, y = 1 and when x = 0, dy/dx = 0

Answered by Aryan G.

Let I(n) = integral from 1 to e of (ln(x)^n)/(x^2) dx where n is a natural number. Firstly find I(0). Show that I(n) = -(1/e) + n*I(n-1). Using this formula find I(1).

Answered by Maximilian P.

How do I find the square root of a complex number?

Answered by Dan C.

The complex number -2sqrt(2) + 2sqrt(6)I can be expressed in the form r*exp(iTheta), where r>0 and -pi < theta <= pi. By using the form r*exp(iTheta) solve the equation z^5 = -2sqrt(2) + 2sqrt(6)i.

Answered by Tajmeet G.

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