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Contents Index Calc Dark Mode Prev Up Next \(\newcommand{\R}{\mathbb{R}}
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Activity 12.8.3 .
In this activity, we will look at a few familiar Jacobians and their interpretations.
(a) Find the Jacobian for the transformation given by
\(x=3s-1\) and
\(y=\frac{t}{3}+2\text{.}\) Write a couple of sentences about why the area of a region will not change with respect to this change of coordinates.
(b) Find the Jacobian when changing from rectangular to polar coordinates. Write a couple of sentences to connect to our work on double integrals in polar coordinates.
