The y-intercept of the function is at y = -3 so the options that don’t include it are off the table. The only possible answer is option C. Option A doesn’t work because plugging in positive values would give negative numbers within the square root which isn’t defined in the real numbers.
The area of a parallelogram is length x height.
The answer would be C. A = 12 • 8
Plug
into the equation of the ellipsoid:

Complete the square:

Then the intersection is such that


which resembles the equation of a circle, and suggests a parameterization is polar-like coordinates. Let



(Attached is a plot of the two surfaces and the intersection; red for the positive root
, blue for the negative)
15, 30, 45, 60, 75, 90, 105, 120, 135, 150
20, 40, 60, 80, 100, 120, 140, 160, 180, 200
Smallest number would be 60 because it’s the least common number in both theaters.
Let me know if I’m right,
-Hoodie