Determine the general solution to the linear system

$$\mathbf { x } ^ { \prime } = A \mathbf { x }$$

for the given matrix A.

$$\left[ \begin{array} { r r } { 3 } & { 13 } \\ { - 1 } & { - 3 } \end{array} \right].$$

What is the Ratio Test inconclusive for summation n=1 to infinite (-3)^n-1/n^1/2 (that is, it fails to give a definite answer)?

Determine the general solution to the linear system

$$\mathbf { x } ^ { \prime } = A \mathbf { x }$$

for the given matrix A.

$$\left[ \begin{array} { r r } { 10 } & { - 4 } \\ { 4 } & { 2 } \end{array} \right].$$

Determine the general solution to the system x' = Ax for the given matrix A.

$$\left[ \begin{array} { r r r } { 0 } & { - 3 } & { 1 } \\ { - 2 } & { - 1 } & { 1 } \\ { 0 } & { 0 } & { 2 } \end{array} \right].$$

If c and d are different positive integers and

$$4c + d = 26,$$

what is the sum of all possible values of c?

$$A \ 6 \\ B \ 10 \\ C \ 15 \\ D \ 21$$

Find general solutions of the differential equation. Primes denote derivatives with respect to $x$.

$$4 y ^ { \prime \prime } + 8 y ^ { \prime } + 3 y = 0$$

Determine the general solution to the system

$$\mathbf { x } ^ { \prime } = A \mathbf { x }$$

for the given matrix A.

$$\left[ \begin{array} { r r } { - 3 } & { - 2 } \\ { 2 } & { 1 } \end{array} \right].$$

Determine the general solution to the linear system

$$\mathbf { x } ^ { \prime } = A \mathbf { x }$$

for the given matrix A.

$$\left[ \begin{array} { r r } { - 3 } & { - 10 } \\ { 5 } & { 11 } \end{array} \right].$$

Determine the general solution to the system

$$\mathbf { x } ^ { \prime } = A \mathbf { x }$$

for the given matrix A.

$$\left[ \begin{array} { r r } { - 1 } & { 2 } \\ { 2 } & { 2 } \end{array} \right].$$

Acid or subtract. $\frac { 6 r s } { r ^ { 2 } s ^ { 2 } } + \frac { 18 r } { r ^ { 2 } s ^ { 2 } }$

Determine the general solution to the linear system

$$\mathbf { x } ^ { \prime } = A \mathbf { x }$$

for the given matrix A.

$$\left[ \begin{array} { r r } { - 6 } & { 1 } \\ { 6 } & { - 5 } \end{array} \right].$$

Of the seventeen students in Angela's class, eight play in the school band. What fraction of the total number of students in Angela's class are in the band?

Evaluate or simplify each expression without using a calculator.

$$\log 10 ^ { 7 }$$

Find the positive radian measure of the angle that the second hand of a clock moves through in the given time.

$$4 \text { minutes and } 25 \text { seconds }$$