In the Previous Three Problems, the Solution For $u ( t )$

question 20

Multiple Choice

In the previous three problems, the solution for $u ( t )$ is

• A) \(u _ { n } ( t ) = ( - 1 ) ^ { n } 2 L \left( e ^ { t } - e ^ { - n ^ { 2 } a ^ { 2 } t / L ^ { 2 } } \right) / ( n \pi ( 1 + n \pi / L ) )\)
• B) \(u _ { x } ( t ) = ( - 1 ) ^ { n } 2 L \left( e ^ { t } + e ^ { - n ^ { 2 } x ^ { 2 } t / L ^ { 2 } } \right) / \left( n \pi \left( 1 + n ^ { 2 } \pi ^ { 2 } / L ^ { 2 } \right) \right)\)
• C) \(u _ { x } ( t ) = ( - 1 ) ^ { n + 1 } 2 L \left( e ^ { t } + e ^ { - n ^ { 2 } x ^ { 2 } t / L ^ { 2 } } \right) / \left( n \pi \left( 1 + n ^ { 2 } \pi ^ { 2 } / L ^ { 2 } \right) \right)\)
• D) \(u _ { x } ( t ) = ( - 1 ) ^ { n + 1 } 2 L \left( e ^ { t } - e ^ { - n ^ { 2 } x ^ { 2 } t / L ^ { 2 } } \right) / \left( n \pi \left( 1 + n ^ { 2 } \pi ^ { 2 } / L ^ { 2 } \right) \right)\)
• E) \(u _ { n } ( t ) = 2 L \left( e ^ { t } - e ^ { - n ^ { 2 } x ^ { 2 } t / L ^ { 2 } } \right) / \left( n \pi \left( 1 + n ^ { 2 } \pi ^ { 2 } / L ^ { 2 } \right) \right)\)

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Definitions:

Dimension Line

A graphical representation in technical drawing, showing the direction and extent of a dimension, typically marked with arrowheads.

Straight Line

The shortest distance between two points; in geometry, it is an infinite number of points along the same direction with no curvature.

Revision Block

A part of the drawing documentation where changes and revisions are recorded.

Millimeter

A unit of length in the metric system equal to one thousandth of a meter.