The South Asian Association for Regional Cooperation (SAARC) has achieved success in various areas since its inception in 1985, despite facing challenges.
While SAARC has faced challenges due to political differences among its members, it has made notable progress in several key areas, particularly in socio-economic development and regional cooperation.
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: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]