Let $\mathbf { F } ( x , y , z ) = x ^ { 2 } \mathbf { i }$

question 124

Multiple Choice

Let $\mathbf { F } ( x , y , z ) = x ^ { 2 } \mathbf { i }$ and let S be the boundary surface of the solid $E = \{ ( x , y , z ) \mid 0 \leq x \leq 1,0 \leq y \leq 1,0 \leq z \leq 1 \}$ . Evaluate the surface integral $\iint _ { S } \mathbf { F } \cdot d \mathbf { S }$ .

• A) \(0\)
• B) \(\frac { 1 } { 4 }\)
• C) \(\frac { 1 } { 3 }\)
• D)
• \(\frac { 1 } { 2 }\)
• E) \(\frac { 2 } { 3 }\)
• F) \(\frac { 3 } { 4 }\)

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Definitions:

Solution

The value or set of values that satisfies a given mathematical equation or inequality.

Inequality

A mathematical sentence indicating that two expressions are not equal, using symbols such as <, >, ≤, or ≥.

Solve

The process of finding the value(s) of variable(s) that satisfy an equation, inequality, or system of equations.