If \(x = i - 3j\) and \(y = 6i + j\), calculate the angle between x and y.
The gradient of a curve at the point (-2, 0) is \(3x^{2} - 4x\). Find the equation of the curve.
If \(\alpha\) and \(\beta\) are the roots of \(x^{2} + x - 2 = 0\), find the value of \(\frac{1}{\alpha^{2}} + \frac{1}{\beta^{2}}\).
Given that \(x^{2} + 4x + k = (x + r)^{2} + 1\), find the value of k and r.
Given the statements:
p : the subject is difficult
q : I will do my best
Which of the following is equivalent to 'Although the subject is difficult, I will do my best'?