Evaluate the Determinant $$\left | \begin{array} { c c } e ^ { 7 x } & e ^ { 4 x } \\7 e ^ { 7 x } & 4 e ^ { 4 x }\end{array} \right |$$

question 21

Multiple Choice

Evaluate the determinant $$\left | \begin{array} { c c } e ^ { 7 x } & e ^ { 4 x } \\7 e ^ { 7 x } & 4 e ^ { 4 x }\end{array} \right |$$ in which the entries are functions.

• A) \(- 3 e ^ { 11 x }\)
• B) \(\frac { 7 } { 4 } e ^ { 28 x }\)
• C) \(\frac { 4 } { 7 } e ^ { 11 x }\)
• D) \(- 3 e ^ { 28 x }\)
• E) \(- \frac { 3 } { 7 } e ^ { 11 x }\)

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Definitions:

Inflammation

the body's defensive response to injury, infection, or irritation, characterized by redness, heat, swelling, and pain.

Rheumatoid Arthritis

An autoimmune disorder that causes chronic inflammation of the joints, often leading to pain, swelling, and potential loss of function.

Scoliosis

Lateral curvature of the spine.

Lateral Curvature

Refers to a sideways curvature of the spine, commonly known as scoliosis.