The energy pyramid represents the flow of energy across trophic levels in an ecosystem.
Explanation:
-The producers (plants) are at the base and have the highest energy content.
-Primary consumers (herbivores) obtain energy by consuming plants.
-Secondary and tertiary consumers feed on herbivores and other carnivores.
-Energy is lost as heat at each trophic level due to metabolic activities.
Key Features of Energy Pyramid:
-Only 10percentage of energy is passed to the next trophic level (as per the 10percentage Law).
-Energy flow is unidirectional (does not recycle).
-The pyramid is always upright, as energy decreases at higher trophic levels.
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: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]