4 Nella funzione \( f(x)=2 x^{3}+k x^{2}+\frac{x}{3}-3 \) è \( f(1)=\frac{7}{3} \). Trova \( k \).

А ба В хотоос хоёр мотоциклтой хүн угталцан гарч є цаг яваад уулзав. Нэгдугээр хуний хурд 36 км/ цаг, хоёрдугаар хуний хурд түүнээс 10 км - ээр илуу бол хоёр хотын хоорондох зайг ол.

Given that the quadratic equation \( p x^{2}-9 q x+9 p=0 \), where \( p \) and \( q \) are constants, has two equal roots. Find \( p: q \). [2 marks.

What is the growth factor in the exponential function \( f(x) = 3(2)^{x} \)?

Simplify the expression: \( (x^{1/4}y^{1/2})^{8} \)

19 days of March 2015 . \( \begin{array}{llll}\text { (1) } ₹ 1530 & \text { (2) } ₹ 1260 & \text { (3) } ₹ 1620 & \text { (4) } ₹ 1710\end{array} \) \( x \propto \frac{1}{y} \). When \( y=6, x=14 \). What is the constant of variation ? \( \begin{array}{llll}\text { (1) } 94 & \text { (2) } 84 & \text { (3) } 82 & \text { (4) } 72\end{array} \) If \( x \) varies directly as \( y \), which number will replace the question