Proteins can be categorized based on their structure and function into two main types:
Fibrous Proteins (such as Keratin and Collagen)
- These are structural proteins that provide support and strength.
2. Globular Proteins (such as Hemoglobin and Enzymes)
- These proteins are crucial for carrying out various biological functions.
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: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]