The new U.S. History teacher is very popular, two out of every seven students hang around his desk before each of his dasses. 1. How many students hang around his desk out of your class of thirty-five students? 2. How many students hang around his desk out of a dass of twenty- eight students? 3. If there are 32 students hanging around his desk (must be a huge desk), how many students are in the class? Enter a variable for the total number of students and use this variable to write

Solve the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) \[ 6 w+7 w^{1 / 2}-20=0 \] \( w=\square \)

(5) Resultant of two forces 6 newton and 8 newton could \( b \) \( \begin{array}{lll}\text { (a) } 20 & \text { maximum } x \\ x & \text { (b) } 15 \text { minimum } x & \text { (c) } 12\end{array} \)

54) \( \sec x+\operatorname{Cosec} x=2 \sqrt{2} \)

State any two commonly used software tools for Time Series Analysis. (2Marks) Give an expression for \( X_{t}-5 X_{t-1}+7 X_{t-2}-3 X_{t-3} \quad \) in terms of second order di fferences.

\( ( ( A \cap B ) \cup ( A ^ { \prime } \cap B ^ { \prime } ) ) ^ { \prime } \)