Mathematics, 13.11.2019 04:31 alexialoredo625

Suppose a change of coordinates t: r2→r2 from the uv-plane to the xy-plane is given byx=−4v−3u−1, y=3−4u−5v.(a) find the absolute value of the determinant of the jacobian for this change of coordinates.∣∣∣∂(x, y)∂(u, v)∣∣∣=∣∣∣det⎡⎣⎢⎢⎤⎦⎥⎥∣∣∣= (b) if a region d∗ in the uv-plane has area 7.25, find the area of the region t(d∗) in the xy-plane.

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Suppose a change of coordinates t: r2→r2 from the uv-plane to the xy-plane is given byx=−4v−3u−1, y=...