Use the Given Transformation to Evaluate the Integral$$\begin{array} { l }
x = 5 u , y = 8 v , z = 9 w \
\quad \int _ { R } \iint x ^ { 2 } y ^ { 2 } z ^ { 2 } d x d y d z
\end{array}$$

Question

Use the Given Transformation to Evaluate the Integral$$\begin{array} { l } 
x = 5 u , y = 8 v , z = 9 w \
\quad \int _ { R } \iint x ^ { 2 } y ^ { 2 } z ^ { 2 } d x d y d z
\end{array}$$

Examlex · Accepted Answer

The Answer of Use the Given Transformation to Evaluate the Integral$$\begin{array} { l } 
x = 5 u , y = 8 v , z = 9 w \
\quad \int _ { R } \iint x ^ { 2 } y ^ { 2 } z ^ { 2 } d x d y d z
\end{array}$$

Use the Given Transformation to Evaluate the Integral $\begin{array} { l } x = 5 u , y = 8 v , z = 9 w \\\quad \int _ { R } \iint x ^ { 2 } y ^ { 2 } z ^ { 2 } d x d y d z\end{array}$

Definitions:

Use the Given Transformation to Evaluate the Integral x=5u,y=8v,z=9w∫R∬x2y2z2dxdydz\begin{array} { l } x = 5 u , y = 8 v , z = 9 w \\\quad \int _ { R } \iint x ^ { 2 } y ^ { 2 } z ^ { 2 } d x d y d z\end{array}x=5u,y=8v,z=9w∫R​∬x2y2z2dxdydz​

Definitions:

Use the Given Transformation to Evaluate the Integral $\begin{array} { l } x = 5 u , y = 8 v , z = 9 w \\\quad \int _ { R } \iint x ^ { 2 } y ^ { 2 } z ^ { 2 } d x d y d z\end{array}$