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Show that (sqrt(3) + sqrt(75))^{2} = 108

The key here is to simplify the left hand side. There are two different approaches to take here, one slightly faster but both perfectly legitimate. First approach: Remember the formula (a + b)^{2} = a^{2} + ...
CB
Answered by Callum B. • Maths tutor
6692 Views

Compute the integral of f(x)=x^3/x^4+1

A basic function of integration states that: for a function f(x), the integral of f'(x)/f(x) = ln[f(x)] (the natural log of the modulus of f(x)). Take the denominator of f(x), x 4 +1. We will refer to this a...
TD
Answered by Tyla D. • Maths tutor
3885 Views

When do you use the present continuous in Italian?

The presend continuous in Italian is used for an action that is taking place at the time of speaking. For example: "sto mangiando una mela": I am eating an apple, this means that you are eating the...
CP
Answered by Chiara P. • Italian tutor
4841 Views

A curve has parametric equations x = 1 - cos(t), y = sin(t)sin(2t) for 0 <= t <= pi. Find the coordinates where the curve meets the x-axis.

If the curve is meeting the x-axis, notice that this means y = 0. So we must solve sin(t)sin(2t) = 0 for t within the given bounds. Using a trigonometric identity sin(2t) = 2cos(t)sin(t), we obtain sin 2 (t)...
CB
Answered by Callum B. • Maths tutor
16564 Views

How does Angela Carter's "The Bloody Chamber" rewrite gothic tales according to a feminist agenda?

Carter's intentions for reimagining of the Gothic genre in her 1979 collection of short stories The Bloody Chamber can be more clearly understood when considering her political motives - she was a second-wav...
AL
Answered by Alex L. • English tutor
8647 Views