The given diagram represents the female gametophyte of angiosperms. Answer the following:
(i) Name the parts - A, B, C.
(ii) Function of filiform apparatus.
(iii) Part that forms PEN.
(iv) Ploidy of antipodals. 
Draw a neat and well-labelled diagram of a transverse section of a young anther. 
Find the Derivative \( \frac{dy}{dx} \)
Given:\[ y = \cos(x^2) + \cos(2x) + \cos^2(x^2) + \cos(x^x) \]
Solve the following LPP graphically: Maximize: \[ Z = 2x + 3y \] Subject to: \[ \begin{aligned} x + 4y &\leq 8 \quad \text{(1)} \\ 2x + 3y &\leq 12 \quad \text{(2)} \\ 3x + y &\leq 9 \quad \text{(3)} \\ x &\geq 0,\quad y \geq 0 \quad \text{(non-negativity constraints)} \end{aligned} \]