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Stewart_Calc_7ET ch15sec06
MULTIPLE CHOICE
1. Find the area of the part of hyperbolic paraboloid that lies between the cylinders
and .
a.
b.
c.
d.
e.
2. Find the area of the surface. Round your answer to three decimal places.
a.
b.
c.
d.
e.
3. Find the area of the surface.
The part of the surface that lies above the xy-plane.
a.
b.
2
9
2
9
2
9
4
3
1
6
c.
d.
e.
4. Find the area of the part of the sphere that lies inside the paraboloid .
a.
b.
c.
d.
e.
5. Find the area of the surface. The part of the sphere that lies above the plane
.
a.
b.
c.
d.
e.
6. Find the exact area of the surface.
.
a.
b.
1
6
1
6
c.
d.
e.
NUMERIC RESPONSE
1. Find the area of the part of the plane that lies inside the cylinder .
2. Describe the region whose area is given by the integral.
3. Find the area of the part of the plane that lies in the first octant.
4. Find the area of the surface. The part of the surface that lies within the cylinder .
SHORT ANSWER
1. Find the area of the surface S where S is the part of the plane that lies above the
triangular region with vertices , and
2. Find the area of the surface S where S is the part of the surface that lies inside the
cylinder
3. Find the area of the surface S where S is the part of the sphere that lies to
the right of the xz-plane and inside the cylinder
4. Find the area of the surface S where S is the part of the sphere that lies
inside the cylinder
