a) Describe the period, amplitude and phase shift of the graph.
b) Also determine the domain and range of the given function.
c) Sketch the graph
Question 2.
a) Use Cramer's rule to solve the system of linear equations.
\[
\begin{array}{r}
2 x+y-3 z=7 \\
2 y-x+3 z=0 \\
2 x+3 y+4 z=2
\end{array}
\]
b) Find a determinant equal to
\[
\left|\begin{array}{rrr}
2 & 1 & -3 \\
3 & -2 & 4 \\
1 & 2 & 3
\end{array}\right|
\]
but having zeros everywhere in the second column, except in the first row and evaluate the determina
c) If \( G=\left|\begin{array}{lll}1 & 7 & 3 \\ 4 & 2 & 9 \\ 6 & 5 & 8\end{array}\right| \) row.
Question 3.
a) Given the vectors \( \mathrm{P}=3 i+7 j \) and \( \mathrm{Q}=2 i-2 j \). Find
1. \( P+Q \)
i1. \( P-Q \)
ii. \( -3 Q \)
b) If the position vectors of \( P \) and \( Q \) are \( 3 i-2 j \) and \( 2 i+3 j \), find \( P Q \) and \( |P Q| \). Also find the direction of \( P \)
c) Find the cosine of the angle between \( \boldsymbol{P} \) and \( \mathbf{Q} \) if, \( \boldsymbol{P}=2 i+4 \boldsymbol{j}, \mathbf{Q}=\boldsymbol{j}-3 i \);
