2. Kebarangkalian bahawa Sunny menang dalam kuiz Sains dan kuiz Matematik masing-masing ialah \( \frac{1}{3} \) dan \( \frac{1}{7} \). Cari kebarangkalian bahawa dia akan menang dalam kedua-dua kuiz itu. The probability that Sunny wins in the Science quiz and Mathematics quiz are \( \frac{1}{3} \) and \( \frac{1}{7} \) respectively. Find the probability that he will win in both quizzes.

Convert the following quadratic equations from standard form into turning point form \[ y=x^{2}+8 x-3 \] \[ y=x^{2}+12 x-5 \]

ii) A numerical integration technique [Note: the work done is given by the area under the curve]

Write the following expression in factored form. \( \begin{array}{l}9 x^{2}+17 x-2 \\ (9 x-1)(x+2) \\ (9 x+1)(x-2) \\ (3 x-1)(3 x+2) \\ (3 x+1)(3 x-2)\end{array} \)

\( 6 ; 5+x ;-6 \) and \( 6 x \) are the first four terms of a quadratic sequence.

Suppose \( \log _{a} x=5, \log _{a} y=3 \), and \( \log _{\alpha^{z}}=-1 \) Find the value of the following expression. \( \log _{e}\left(\frac{x^{2} y}{z^{3}}\right) \) 19 16 13