Answer:
The answer is 7.25. That is there will be no change.
Step-by-step explanation:
The equations of differential vector transformation from the v-u plane to the x-y plane is given by,
where the square matrix given is the Jacobian matrix and we can evaluate it by differentiating the equation for x and y given in the question by v and u and we will obtain the following matrix,
.
Differential area transformation from v-u coordinate system to the x-y coordinate systen is given by,
where Det(J), is evaluated as below,
which we plug into the above equation to obtain,
in part b) area of the region D in the u-v plane is given as 7.25 that is dvdu=7.25 , that means according to the above equation that the area of the corresponding transformed region in the x-y plane that is dxdy will also be the same according o the above equation,So,