Hormones Produced by the Ovaries: The ovaries produce estrogen and progesterone, which are crucial for regulating various aspects of female reproductive health.
1. Estrogen:
(i) Facilitates the development of female secondary sexual characteristics.
(ii) Manages the menstrual cycle phases.
2. Progesterone:
(i) Supports the maintenance of the uterine lining for pregnancy.
(ii) Suppresses ovulation during pregnancy.
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: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]