1.ve graphically the systems of linear inequalities belo dicate the coordinates of the extreme points. \( \left\{\begin{array}{c}3 x+4 y \leq 12 \\ 2 x+4 y \leq 8 \\ x \geq 0 \\ y \geq 0\end{array}\right. \) 2. \( \left\{\begin{array}{c}4 x+4 y \geq 16 \\ 5 x+3 y \leq 15 \\ x \geq 0 \\ y \geq 0\end{array}\right. \)

determine \( \frac{d y}{d x} y \)

19. \( P \) and \( Q \) are distinct two-digit numbers. \( P s \) and \( Q s \) denote the sums of the digits in \( P \) and \( Q \) respectively, If \( \frac{P}{P_{s}}=\frac{Q}{Q_{s}} \), then find the minimum possible value of \( P_{s}+Q_{8} \) \( \begin{array}{llll}\text { (A) } 8 & \text { (B) } 9 & \text { (C) } 6 & \text { (D) } 3\end{array} \)

(7) \( 9 \frac{5}{6}-3 \frac{1}{4}-3 \frac{2}{3}= \)

T2.2 Consider a cylindrical nickel wire 2.0 mm in diameter, \( 3 \times 10^{4} \mathrm{~mm} \) long, with Young's modulus \( E=207 \mathrm{GPa} \). Calculate its extension when a force of 300 N is applied.

This term means body of land with water on three sides Colony Island Polis Peninsula