Step 1: The map of India indicates the locations of various centers of the 1857 uprising, showing important places where revolts took place during the First War of Indian Independence.
Step 2: These places were crucial in the context of the rebellion and its spread across different parts of India and regions that now form parts of neighboring countries.
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: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]