I believe it would be C<span />

**Answer:**

**Step-by-step explanation:**

Given that:

Here C is the curve of intersection of the hyperbolic parabolic and the cylinder

Using Stokes' Theorem

From above ;

S = the region under the surface and above the circle

Suppose, we consider

therefore, S will be the level curve of f(x,y,z) = 0

Recall that:

is always normal to the surface S at the point (x,y,z).

∴

This implies that the unit vector

So

Also,

Similarly ;

Then:

converting the integral to polar coordinates

This implies that:

⇒

Therefore, the value of

The parametric equations for the curve of intersection of the hyperbolic paraboloid can be expressed as the equations of the plane and cylinder in parametric form . i.e

Set them equal now,

the Parametric equation of

**Answer:**

C

**Step-by-step explanation:**

The reason the numbers are negative is because he does not have that money because he has to pay it back.