91Ó°ÊÓ

The cofactor \(A_{34}\) of the determinant of Prob. \(16.31\) is a) 4 b) 6 c) \(-6\) d) \(-4\)

Find the adjoint matrix of \(\left|\begin{array}{rr}1 & -4 \\ 0 & 2\end{array}\right|\). a) \(\left[\begin{array}{ll}4 & 2 \\ 0 & 1\end{array}\right]\) c) \(\left[\begin{array}{ll}2 & 4 \\ 1 & 0\end{array}\right]\) b) \(\left[\begin{array}{ll}1 & 0 \\ 4 & 2\end{array}\right]\) d) \(\left[\begin{array}{ll}2 & 4 \\ 0 & 1\end{array}\right]\)

The inverse matrix of \(\left[\begin{array}{ll}2 & 3 \\ 1 & 1\end{array}\right]\) is a) \(\left[\begin{array}{rr}-1 & 3 \\ 1 & -2\end{array}\right]\) c) \(\left[\begin{array}{ll}-1 & 1 \\ -3 & 2\end{array}\right]\) b) \(\left[\begin{array}{rr}1 & -1 \\ -3 & 2\end{array}\right]\) d) \(\left[\begin{array}{rr}-2 & 3 \\ 1 & -1\end{array}\right]\)

Calculate \(\left[\begin{array}{rr}2 & -1 \\ 3 & 2\end{array}\right]\left[\begin{array}{l}2 \\ 1\end{array}\right]\) a) \(\left[\begin{array}{l}8 \\ 3\end{array}\right]\) b) \(\left[\begin{array}{l}3 \\ 8\end{array}\right]\) c) \(\left[\begin{array}{l}-3 \\ -8\end{array}\right]\) d) \([3,8]\)

Determine \(\left[\begin{array}{ll}1 & 2 \\ 2 & 1\end{array}\right]\left[\begin{array}{rr}-1 & 0 \\ 1 & 2\end{array}\right]\). a) \(\left[\begin{array}{rr}1 & 4 \\ -1 & 2\end{array}\right]\) b) \(\left[\begin{array}{rr}1 & -1 \\ 4 & 2\end{array}\right]\) c) \(\left[\begin{array}{r}1 \\ -1\end{array}\right]\) d) \(\left[\begin{array}{l}4 \\ 2\end{array}\right]\)

Solve for \(\left[x_{i}\right]\) $$ \begin{aligned} 3 x_{1}+2 x_{2} &=-2 \\ x_{1}-x_{2}+x_{3} &=0 \\ 4 x_{1}+2 x_{3} &=4 \end{aligned} $$ a) \(\left[\begin{array}{r}2 \\ 4 \\ -6\end{array}\right]\) \(\left[\begin{array}{l}2 \\ 4 \\ 8\end{array}\right]\) d) \(\left[\begin{array}{r}8 \\ 14\end{array}\right]\)

The slope of the curve \(y=2 x^{3}-3 x\) at \(x=1\) is a) 3 b) 5 c) 6 d) 8

If \(y=\ln x+e^{x} \sin x\), find \(d y / d x\) at \(x=1\). a) \(1.23\) b) \(3.68\) c) \(4.76\) d) \(6.12\)

At what value of \(x\) does a maximum of \(y=x^{3}-3 x\) occur? a) 2 b) 1 c) 0 d) \(-1\)

Where does an inflection point occur for \(y=x^{3}-3 x\) ? a) 2 b) 1 c) 0 d) \(-1\)