Find the Length of the Curve $$x = 3 t , y = \frac { 2 } { 3 } t 3 / 2,0 \leq t \leq 16$$

question 231

Multiple Choice

Find the length of the curve.
- $$x = 3 t , y = \frac { 2 } { 3 } t 3 / 2,0 \leq t \leq 16$$

• A) \(\frac { 98 } { 3 }\)
• B) 49
• C) \(\frac { 244 } { 3 }\)
• D) \(\frac { 196 } { 3 }\)

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Definitions:

Basalt Magma

A type of magma that is low in silica and typically originates from the upper mantle, leading to the formation of basalt rock upon cooling.

Volcanic Eruptions

A natural geologic process where magma, ash, and gases are expelled from a volcano.

Columbia Plateau

A geologic and geographic region in the Pacific Northwest of the United States, characterized by a predominately basaltic lava landscape.

Flood Basalts

Large-scale volcanic events that result in the extensive outpouring of basalt lava over vast areas, creating thick, layered volcanic rock formations.