Find the Area of the Surface Generated by Revolving the Curve

question 87

Multiple Choice

Find the area of the surface generated by revolving the curve about the indicated axis.
- $y = \sqrt { x } , 3 / 2 \leq x \leq 9 / 2 ; x$ -axis

• A) \(\left( \frac { 19 \sqrt { 19 } } { 6 } - \frac { 7 \sqrt { 7 } } { 6 } \right) \pi\)
• B) \(\frac { 7 \sqrt { 7 } } { 2 } \pi\)
• C) \(\left( \frac { 7 \sqrt { 7 } } { 2 } - \frac { \sqrt { 3 } } { 6 } \right) \pi\)
• D) \(\frac { 7 \sqrt { 7 } } { 6 } \pi\)

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Definitions:

Supply Chain

The entire system comprising people, organizations, resources, processes, and technology that participate in producing and selling a good, starting from supplying raw materials to manufacturing and eventually reaching the consumer.

Upstream

In supply chain and production, it refers to the early stages involving raw materials and the initial steps of manufacturing or processing.

Downstream

In the context of supply chain and business, it refers to all activities or processes that occur closer to the end-user or consumer, often including refining, selling, and distribution.

Inventory Management

The supervision of non-capitalized assets (inventory) and stock items, a component of supply chain management that involves overseeing the flow of goods from manufacturers to warehouses and from these facilities to point of sale.