Types of Reproductive Isolation:
Reproductive isolation serves as a critical mechanism that restricts gene flow between distinct species, facilitating speciation.
1. Pre-mating Isolation (Prezygotic Barriers)
Temporal Isolation: Species breed during different periods.
Mechanical Isolation: Physical differences hinder successful mating.
2. Post-mating Isolation (Postzygotic Barriers)
Hybrid Inviability: Hybrids fail to develop correctly.
Hybrid Sterility: Hybrids are incapable of reproducing (e.g., mules).
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: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]