Find the Area of the Surface of Revolution $\mathbf { r } ( u , v ) = 11 \sin u \cos v \mathbf { i } + 11 u \mathbf { j } + 11 \sin u \sin v \mathbf { k }$

question 23

Multiple Choice

Find the area of the surface of revolution $\mathbf { r } ( u , v ) = 11 \sin u \cos v \mathbf { i } + 11 u \mathbf { j } + 11 \sin u \sin v \mathbf { k }$ , where $0 \leq u \leq \pi$ and $0 \leq v \leq 2 \pi$ .

• A) \(121 \pi [ \sqrt { 2 } + \ln | \sqrt { 2 } - 1 | ]\)
• B) \(22 \pi [ \sqrt { 2 } + \ln | \sqrt { 2 } + 1 | ]\)
• C)\(242 \pi \left[ \sqrt { 2 } + \ln \left| \frac { \sqrt { 2 } - 1 } { \sqrt { 2 } + 1 } \right| \right]\)
• D) \(\pi [ \sqrt { 2 } - \ln | \sqrt { 2 } + 1 | ]\)
• E)\(242 \pi \left[ \sqrt { 2 } + \ln \left| \frac { \sqrt { 2 } + 1 } { \sqrt { 2 } - 1 } \right| \right]\)

Recognize the influence of social and environmental factors on the cognitive health of older adults.

Learn about global demographic trends in aging and their implications for societal health resource allocation.

Understand the distinct characteristics and progression rates of different neurocognitive disorders such as Alzheimer's disease, Parkinson's disease, and frontotemporal NCD.

Identify the main causes and symptoms associated with neurocognitive disorders.

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Definitions:

Localized Market

A market confined to a specific geographic area, where the products or services offered are tailored to the preferences of the local population.

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Duopoly

A market structure characterized by two companies controlling the majority of the market share for a good or service.

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