The part of the sphere x2 + y2 + z2 = 36 that lies above the cone z = x2 + y2 . (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of u and/or v.)

Step-by-step explanation:

Given that:

The equation of the sphere is = x² + y² + z² = 36;  &

The cone z =

The first process is to evaluate the intersection of these curves.

i.e.

2(x² + y²) = 36

Dividing both sides 2, we get;

x² + y² = 36

Suppose the parameterization of x=u, y=v;

Thus, the sphere result to:

x² + y² + z² = 36

Making z² the subject of the formula:

z² = 36 - x² - y²

Now, to evaluate z in terms of  u and v, we have:

Thus, the expected parametric representation for the surface is:

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

yes

step-by-step explanation: