Suppose a change of coordinates t: r2→r2 from the uv-plane to the xy-plane is given by x=4v−2u−3, y=−1+5u+4v.

(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 7.04, find the area of the region t(d∗) in the xy-plane. area =