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) \(\frac { 28 } { 3 } \pi\)

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