- Find the volume of the soud that lies within both the cyunder x2+y2-1 and the...
(1 point Find the volume of the solid that lies within the sphere x2 + 2 + z-64 above the xy plane, and outside the cone z 8V x2 y2
(1 point Find the volume of the solid that lies within the sphere x2 + 2 + z-64 above the xy plane, and outside the cone z 8V x2 y2
Use spherical coordinates. Find the volume of the solid that lies within the sphere x2 + y2 + z2 = 4, above the xy-plane, and below the cone z =√( x2 + y2)
(1 point) Find the volume of the solid that lies within the sphere x2 +y2 .2 16, above the xy plane, and outside the cone 2
(1 point) Find the volume of the solid that lies within the sphere x2 +y2 .2 16, above the xy plane, and outside the cone 2
2. Find the area of the part of the surface of the sphere x2 + y2 + Z2-42 that lies within the paraboloid z-x2 + y2. Hints: * Complete the square for ×2 + y2 + Z2-42+ (it is a sphere with center (0, 0,) Find the intersection to determine the region of integration
2. Find the area of the part of the surface of the sphere x2 + y2 + Z2-42 that lies within the paraboloid z-x2 + y2....
Find the volume of the solid that lies inside the sphere x2 + y2 + 2 = 18 and outside of the cylinder 22 + y2 = 2 (Note: Remember to type pi for . Also keep fractions, for example write 1/2 not 0.5.) V=
orientation. Find the volume of the piece of the sphere x2 + y2 + z2-1 which lies both inside the cylinder x2 + y2-1/2 and inside the first coordinate octant (that is, x,y,z 2 0). 4. 5. For the vector field F (2x(y +2)-y2-Z2), what is the surface integral of this field over the unit-radius
plane, and outside the cone z-5V x2 (1 point Find the volume of the solid that lies within the sphere x2 ,2 + z2-25, above the x (1 point) Find the mass of the triangular region with vertices (0,0), (1, 0), and (0, 5), with density function ρ (x,y) = x2 +y.
plane, and outside the cone z-5V x2 (1 point Find the volume of the solid that lies within the sphere x2 ,2 + z2-25, above the x
(1...
1 point) Find the surface area of the part of the sphere x2 + y2 + z2-1 that lies above the cone z = x2+y2 Surface Area (1 point) Find the surface area of the part of the plane 2a 4y+z 1 that lies inside the cylinder 2y21. Surface Area2pi
1 point) Find the surface area of the part of the sphere x2 + y2 + z2-1 that lies above the cone z = x2+y2 Surface Area
(1 point) Find...
2. (20 pts) Find the surface area of that part of the sphere x2 + y2 + z2-4 that lies inside the paraboloid z x2 + y2.
2. (20 pts) Find the surface area of that part of the sphere x2 + y2 + z2-4 that lies inside the paraboloid z x2 + y2.
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= 1 and Find the volume inside both x2 + y2 + z2 x2 + y2 = x.