Step 1: The British were interested in Myanmar because of its strategic location, natural resources like teak, and its potential as a market for British goods.
Step 2: Myanmar was an important part of the British Empire’s imperial ambitions in Southeast Asia, and they wanted to control its resources and trade.
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: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]