Find the Area Between $y = ( x - 3 ) e ^ { x }$

question 36

Multiple Choice

Find the area between $y = ( x - 3 ) e ^ { x }$ and the $x$ -axis from $x = 3$ to $x = 6$ .

• A) \(\mathrm { e } ^ { 6 } - \mathrm { e } ^ { 3 }\)
• B) \(\mathrm { e } ^ { 6 } + \mathrm { e } ^ { 3 }\)
• C) \(2 \mathrm { e } ^ { 6 }\)
• D) \(2 \mathrm { e } ^ { 6 } + \mathrm { e } ^ { 3 }\)

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Definitions:

Cracks

Thin, linear fractures or separations in materials or geological formations, typically occurring without the displacement of the sides.

Subduction Zone

A zone in which subduction takes place, either referring to the actual downgoing slab and its surroundings or to the region, including Earth’s surface, above the subducting slab.

Mid-Ocean Ridge

A long mountain range on the floor of the ocean, associated with seafloor spreading.

Island Arc

A generally curved belt of volcanic islands above a subduction zone; also used as an adjective to refer to this setting.