If $U ( x , s ) = \mathcal { C } \{ u ( x , t ) \} \text {, then } \mathcal { L } \left\{ \frac { \partial u } { \partial x } \right\}$

question 16

Multiple Choice

If $U ( x , s ) = \mathcal { C } \{ u ( x , t ) \} \text {, then } \mathcal { L } \left\{ \frac { \partial u } { \partial x } \right\}$ is

• A) \(s U ( x , s ) - u ( x , 0 )\)
• B) \(s U ( x , s ) - u _ { x } ( x , 0 )\)
• C) \(s U ( x , s ) - s u ( x , 0 )\)
• D) \(U _ { x } ( x , s )\)
• E) \[U _ { s } ( x , s )\]

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Definitions:

Foreland Basin

A foreland basin is a structural depression that forms adjacent to a mountain range due to flexural subsidence, filling with sediments eroded from the associated orogeny (mountain-building process).

Back-Arc Rifting

A geological process in which the crust behind a volcanic arc stretches and thins, often leading to the formation of a new ocean basin.

Michigan Basin

A geological basin in the United States characterized by layers of sedimentary rock, indicative of its history as an ancient sea bed.

Continental Rifting

The process by which a continent stretches and splits along a linear belt, leading to the formation of new oceanic crust.