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Calculate the Arc Length of the Indicated Portion of the Curve

question 137

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Calculate the arc length of the indicated portion of the curve r(t) .
- r(t) =2t4i+10t4j+11t4k,1t3r ( t ) = 2 t ^ { 4 } \mathbf { i } + 10 t ^ { 4 } \mathbf { j } + 11 t ^ { 4 } k _ { , } - 1 \leq t \leq 3

Develop an understanding of object-oriented programming principles applied to Java GUI development.
Understand the lifecycle and termination of Swing programs.
Demonstrate the ability to manipulate Java Swing components to create GUIs, including adding menus and menu items.
Apply principles of the Model-View-Controller (MVC) pattern in designing GUI applications.

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