The thymus gland serves as a crucial primary lymphoid organ within the immune system, situated in the upper thorax just behind the sternum.
Role of the Thymus:
(i) The thymus is vital for the development and maturation of T-lymphocytes (T-cells), which are key to adaptive immunity.
(ii) In childhood, it actively generates immune cells.
(iii) The gland undergoes involution (gradual shrinkage) starting at puberty, with its functions increasingly assumed by other immune structures like lymph nodes and the spleen.
Involution of the thymus is a normal physiological process, leading to its replacement by fatty tissue in adulthood.
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: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]