The Solution of the System $\mathbf { X } ^ { \prime } = \left( \begin{array} { l l } 1 & - 3 \\2 & - 4\end{array} \right) \mathbf { X }$

question 40

Multiple Choice

The solution of the system $\mathbf { X } ^ { \prime } = \left( \begin{array} { l l } 1 & - 3 \\2 & - 4\end{array} \right) \mathbf { X }$ is

• A) \(\mathbf { X } = c _ { 1 } \left( \begin{array} { l }
• 3 \\
• 2
• \end{array} \right) e ^ { - t } + c _ { 2 } \left( \begin{array} { l }
• 1 \\
• 1
• \end{array} \right) e ^ { - 2 t }\)
• B) \(\mathbf { X } = c _ { 1 } \left( \begin{array} { l }
• 3 \\
• 2
• \end{array} \right) e ^ { t } + c _ { 2 } \left( \begin{array} { l }
• 1 \\
• 1
• \end{array} \right) e ^ { 2 t }\)
• C) \(\mathbf { X } = c _ { 1 } \left( \begin{array} { l }
• 2 \\
• 3
• \end{array} \right) e ^ { - t } + c _ { 2 } \left( \begin{array} { l }
• 1 \\
• 1
• \end{array} \right) e ^ { - 2 t }\)
• D) \(\mathbf { X } = c _ { 1 } \left( \begin{array} { l }
• 2 \\
• 3
• \end{array} \right) e ^ { t } + c _ { 2 } \left( \begin{array} { l }
• 1 \\
• 1
• \end{array} \right) e ^ { 2 t }\)
• E) none of the above

Identify and categorize different types of liabilities, such as known obligations, estimated liabilities, and contingencies.

Record and report long-term liabilities and their division between current and noncurrent sections on the balance sheet.

Understand the procedures for estimating liabilities and making necessary journal entries for estimated liabilities.

Comprehend payroll accounting, including calculating payroll taxes expense and net pay.

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Definitions:

Interest Rate

This represents the percentage of the principal that lenders charge borrowers for the access to assets.

Investment

Allocation of resources, usually money, in the expectation of generating an income or profit.

Stop Contact

A Stop Contact is a type of electrical contact used in stop buttons or emergency stop circuits to halt machine operation for safety.