The competition for armament, also known as the arms race, was one of the main causes of the First World War. European powers engaged in a race to build and maintain powerful militaries, creating an environment of mistrust and fear that contributed to the war.
In conclusion, the intense competition for armament and the arms race between European nations contributed to an atmosphere of hostility and insecurity, making war more likely.
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: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]