Let $S$ Be the Cube with Vertices $( \pm 1 , \pm 1 , \pm 1 )$

question 38

Multiple Choice

Let $S$ be the cube with vertices $( \pm 1 , \pm 1 , \pm 1 )$ . Approximate $\iint _ { S } \sqrt { x ^ { 2 } + 2 y ^ { 2 } + 7 z ^ { 2 } }$ by using a
Riemann sum as in Definition 1, taking the patches $S _ { i j }$ to be the squares that are the faces of the cube and the points $P _ { i j }$ to be the centers of the squares.

• A) \(8 ( 3 + \sqrt { 2 } )\)
• B) \(8 ( 3 + \sqrt { 7 } )\)
• C) \(8 ( 1 + \sqrt { 2 } + \sqrt { 7 } )\)
• D) \(4 ( 1 + \sqrt { 2 } + \sqrt { 7 } )\)
• E) none of these

Recognize the importance of sentence length and structure in maintaining reader interest and clarity.

Identify the role of design elements (e.g., headings, subheadings, lists) in improving document readability.

Appreciate the significance of avoiding long paragraphs and employing lists for better document structure.

Demonstrate knowledge on editing for clarity by eliminating redundancy, using active voice, and opting for simpler expressions.

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Definitions:

Production Time

The duration required to complete the manufacturing process of a product, from raw materials to finished goods.

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