Question

the region enclosed by the cylinder x^2+y^2=64 and the planes z=0 and x+y+z=16

Answer #1

Now if you have any doubt then leave a comment I'll try to resolve it.

Please give me thumb's up I really need it.

Integrate f(x,y,z) = z over the region enclosed by x^2+y^2=2^2 ,
z=x^2+y^2 and z=0.

Integrate f(x,y,z) = z over the region enclosed by x^2+y^2=3^2 ,
z=x^2+y^2 and z=0.

Evaluate the surface integral (x+y+z)dS when S is part of the
half-cylinder x^2 +z^2=1, z≥0, that lies between the planes y=0 and
y=2

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

Evaluate the flux, ∬SF⋅dS , of F(x,y,z)=yzj+z^2k through the
surface of the cylinder y^2+z^2=9 , z ≥ 0 , between the planes x=0
and x=3.

Let D be the region enclosed by the cone z =x2 + y2 between the
planes z = 1 and z = 2.
(a) Sketch the region D.
(b) Set up a triple integral in spherical coordinates to ﬁnd the
volume of D.
(c) Evaluate the integral from part (b)

Verify the Divergence Theorem for the vector field F(x, y, z) =
< y, x , z^2 > on the region E bounded by the planes y + z =
2, z = 0 and the cylinder x^2 + y^2 = 1.
By Surface Integral:
By Triple Integral:

1. Find the area of the region enclosed between y=4sin(x) and
y=4cos(x) from x=0 to x=0.5π
2. Find the volume of the solid formed by rotating the region
enclosed by
x=0, x=1, y=0, y=8+x^5
about the x-axis.
3. Find the volume of the solid obtained by rotating the region
bounded by
y=x^2, y=1.
about the line y=7.

Sketch the region enclosed by x = 56 − y^ 2 and x = − y . Then
find the area of the region.

Find the center mass of the solid bounded by planes x+y+z=1, x=0
y=0, and z=0, assuming a mass density of ρ(x,y,z)=7sqrt(z)
Xcm
Ycm
Z cm

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 6 minutes ago

asked 21 minutes ago

asked 23 minutes ago

asked 29 minutes ago

asked 29 minutes ago

asked 36 minutes ago

asked 37 minutes ago

asked 43 minutes ago

asked 53 minutes ago

asked 54 minutes ago

asked 1 hour ago