We first obtain the equation of the lines bounding R.
For the line with points (0, 0) and (8, 1), the equation is given by:

For the line with points (0, 0) and (1, 8), the equation is given by:

For the line with points (8, 1) and (1, 8), the equation is given by:

The Jacobian determinant is given by

The integrand x - 3y is transformed as 8u + v - 3(u + 8v) = 8u + v - 3u - 24v = 5u - 23v
Therefore, the integration is given by:
The difference in elevation equals subtraction. In other words 39ft subtracted by 8ft equals 31ft. So New Orleans, Louisiana is 31ft ABOVE sea level compared to EL Centro, California.
X²=64
√x²=√64=8
x=8 (positive)
∛x=∛8=∛(2)³=2
∛x=2
Answer: reflection across the x-axis
vertical shrink by a factor of 1/2
horizontal shrink by a factor of 1/3
vertical shift up 4 units
<u>Step-by-step explanation:</u>


The transformed function has the following:
Negative: reflection across the x-axis
A = 1/2 vertical shrink by a factor of 1/2
B = 3 horizontal shrink by a factor of 1/3
C = 0 no horizontal shift
D = 4 vertical shift of 4 units up