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AURORKA [14]
3 years ago
6

Find the jacobian of the transformation. x = 4u/v, y = 6v/w, z = 7w/u

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
4 0
\dfrac{\partial(x,y,z)}{\partial(u,v,w)}=\begin{bmatrix}x_u&x_v&x_w\\y_u&y_v&y_w\\z_u&z_v&z_w\end{bmatrix}=\begin{bmatrix}\dfrac4v&-\dfrac{4u}{v^2}&0\\\\0&\dfrac6w&-\dfrac{6v}{w^2}\\\\-\dfrac{7w}{u^2}&0&\dfrac7u\end{bmatrix}
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Answer:

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Step-by-step explanation:

4 ( 3b + 2 ) - 5b = 43     Given

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12b - 5b + 8 = 43    Combine like terms

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7b + 8 - 8 = 43 - 8     Subtraction Property of Equality

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If you add everything up then
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