Provide an appropriate response.
-Determine if the graph of the equation $f(x, y)=\sqrt{5-x^{2}-y^{2}}$ is a sphere, a hemisphere, $a$ paraboloid, or none of these.
A) Sphere
B) Hemisphere
C) Paraboloid
D) None of these

Question

Quizplus · Accepted Answer

The equation $f(x, y)=\sqrt{5-x^{2}-y^{2}}$ represents the upper hemisphere of a sphere with radius $\sqrt{5}$ centered at the origin. The square root function restricts $z$ to non-negative values, indicating only the upper half of the sphere.

Provide an Appropriate Response f(x,y)=5−x2−y2f(x, y)=\sqrt{5-x^{2}-y^{2}}f(x,y)=5−x2−y2​ Is a Sphere, a Hemisphere aaa

Provide an Appropriate Response $f(x, y)=\sqrt{5-x^{2}-y^{2}}$ Is a Sphere, a Hemisphere $a$