Imperialism was one of the leading causes of the First World War. European powers sought to expand their empires by acquiring colonies in Africa, Asia, and the Pacific. The competition for imperial dominance increased tensions among the major European powers.
In conclusion, imperialistic policies created rivalries and increased the tensions between European powers, which ultimately contributed to the outbreak of the First World War.
The slope of the tangent to the curve \( x = \sin\theta \) and \( y = \cos 2\theta \) at \( \theta = \frac{\pi}{6} \) is ___________.
Solve the following L.P.P. by graphical method:
Maximize:
\[ z = 10x + 25y. \] Subject to: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]