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.

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

1

step-by-step explanation:

it's the only multiple of both and the least

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0