Calculus homework answer?
Identify and choose the appropriate quadric surface. (choices in the picture attached)
Choices:A.) Figure 4. Hyperboloid of one sheet
B.) Figure 5. Ellipsoid
C.) Figure 2. Hyperboloid of two sheets.
D.) Figure 1. Hyperboloid of one sheet.
E.) Figure 3. Ellipsoid.
- SlowfingerLv 61 month agoFavourite answer
B) Figure 5. Ellipsoid
x^2 / a^2 + y^2 / b^2 + z^2 / c^2 = 1
is equation of an ellipsoid.
So which one is it, Figure 3 or Figure 5?
In this general equation, a, b and c are half the length of the principal axes in x, y and z direction, respectively.
In our case, a=1, b=8, c=16, so the ellipsoid is elongated in z-direction. From picture, that is Figure 5.