Question

draw the solid bounded above z=9/2-x^{2}-y^{2}
and bounded below x+y+z=1. Find the volume of this
solid.** **

Answer #1

Find the volume of the solid bounded by the cylinder x^2+y^2=9
and the planes z=-10 and 1=2x+3y-z

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)

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 volume of the solid generated by revolving the region
bounded by
x2−y2=16, x≥0, y=−4,y=4
about the line
x=0.

. Find the volume of the solid that is bounded above by the
surface z = 1 − 2x 2 − y 2 − 2y and below by the region inside the
the curve 2x 2 + y 2 + 2y = 1.

Find the volume (in cu units) of the solid bounded above by the
surface z = f(x, y) and below by the plane region R. f(x, y) =
3x^3y; R is the region bounded by the graphs of y = x and y =
x^2

. Find the volume of the solid bounded by the cylinder x 2 + y 2
= 1, the paraboloid z = x 2 + y 2 , and the plane x + z = 5

Find the volume of the solid bounded by the parabolic cylinders
z= y^2+1 and z=2-x^2.
***Please make it easy for me to follow along, thanks!

Lets consider the solid bounded above a sphere x^2+y^2+z^2=2 and
below by the paraboloid z=x^2+y^2.
Express the volume of the solid as a triple integral in
cylindrical coordinates. (Please show all work clearly) Then
evaluate the triple integral.

Find the volume of the solid bounded by the spheres
x^2+y^2+z^2=1 and x^2+y^2+(z-1)^2=1 bu using spherical
coordinates.

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