Evaluate the Surface Integral $$\iint _ { S } 8 x z d S$$

question 116

Multiple Choice

Evaluate the surface integral.
$$\iint _ { S } 8 x z d S$$
$S$ is the part of the plane $2 x + 2 y + z = 4$ that lies in the first octant. Select the correct answer.

• A) \(I = 67\)
• B) \(I = 37\)
• C) \(I = 32\)
• D) \(I = 47\)
• E) \(I = 57\)

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Definitions:

Lava Dome

A lava dome is a mound-shaped protrusion resulting from the slow extrusion of viscous lava from a volcano.

Lava Flow

The movement of molten rock or lava released during a volcanic eruption across the Earth's surface.

Pyroclastic Flow

A fast-moving current of hot gas and volcanic materials that flows down the side of a volcano during an explosive eruption.

Sandstone

A sedimentary rock consisting of sand-sized mineral particles or rock fragments.