Question

Find the volume of the area bounded by the surface z = 4 -
x^{2} on the upper side, the cylinder x^{2}+
y^{2} = 4 and the xy plane on the underside.

Answer #1

a) Find the volume of the region bounded by Z = (X2 +
Y2)2 and Z = 8 (Show all steps)
b) Find the surface area of the portion of the surface z =
X2 + Y2 which is inside the cylinder
X2 + Y2 = 2
c) Find the surface area of the portion of the graph Z = 6X + 8Y
which is above the triangle in the XY plane with vertices (0,0,0),
(2,0,0), (0,4,0)

Evaluate the area of the part of the conical surface
x2 + y2 = z2 bounded below by the
sphere x2 + y2 + z2 = 4 and above
by the plane 2x + y + 10z = 20. Derive the final form of the
integral.

find the volume of the solid below the surface z=2-square root (
1+x2+y2)and above the xy-plane
can someone help with this I am in calculus 3 ( multivariable
calculus)?

Find the surface area of the part of the sphere
x2 + y2 +
z2 = 49 that lies above the plane z
= 4.

Find the surface area of upper part of the sphere of radius a,
x2 + y2 + z2 = a2, cut
by the cone z = sqrt(x2 + y2). Show the
integral that corresponds to the surface area using spherical
coordinates.

Find the area of the surface. The part of the sphere x2 + y2 +
z2 = 64 that lies above the plane z = 3.

draw the solid bounded above z=9/2-x2-y2
and bounded below x+y+z=1. Find the volume of this
solid.

Find the volume of the solid that lies under the paraboloid
z=2x2+2y2 above the xy-plane, and inside the
cylinder x2+y2=8y

find volume lies below surface
z=2x+y and above the region in xy plane bounded by x=0 ,y=1
and x=y^1/2

Find the area of the surface.
The portion of the sphere
x2 + y2 + z2 = 400
inside the cylinder
x2 + y2 = 256
*its not 320pi or 1280pi

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