In my view, India has indeed emerged as a global leader in space research, making exceptional progress in both technological advancements and international cooperation.
In conclusion, India’s space program, spearheaded by ISRO, has positioned the country at the forefront of global space research, with notable achievements in both technological innovation and international 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: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]