Use the Given Transformation to Evaluate the Integral $$\begin{array} { l } x = 10 u , y = 7 v , z = 2 w ; \\\quad \int _ { R } \int _ { \int } \int ^ { 2 } y ^ { 2 } d x d y d z\end{array}$$

question 68

Multiple Choice

Use the given transformation to evaluate the integral.
- $$\begin{array} { l } x = 10 u , y = 7 v , z = 2 w ; \\\quad \int _ { R } \int _ { \int } \int ^ { 2 } y ^ { 2 } d x d y d z\end{array}$$
where $R$ is the interior of the ellipsoid $\frac { x ^ { 2 } } { 100 } + \frac { y ^ { 2 } } { 49 } + \frac { z ^ { 2 } } { 4 } = 1$

• A) \(\frac { 16 } { 3 } \pi\)
• B) \(7 \pi\)
• C) \(\frac { 28 } { 5 } \pi\)
• D) \(\frac { 28 } { 3 } \pi\)

Recognize the implications of specific vascular disorders and conditions.

Understand mechanisms of temperature regulation and nutrient exchange in the vascular system.

Understand the employment distribution of paralegals across various sectors.

Identify the advantages and disadvantages of working for corporations, law firms, and government agencies as paralegals.

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