(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 sph...
(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
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...
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 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...
The region above the xy-plane that is inside both the sphere 2? + y2 + x2 = 4 and the cone 22 + y2 – 322 = 0, has density at a point given as f (x, y, z) = x2 + y2 What is the mass of the region?
3. Find the volume of the solid in the first octant that lies above the cone z = 3(x + y) and inside the sphere x2 + y2 + z2 = 42. Use spherical coordinates.
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=
5. The solid E lies above the cone z = 3V x2 + y2, inside the cylinder x2 + y2 = 4 and below the plane z = 8; see Fig.2. (a) Write the equations of those three surfaces in cylindrical coordinates and say in which horizontal plane the cone intersects the cylinder. (b) Set up a triple iterated integral in cylindrical coordinates, for this triple integral SSI r’dV
Use spherical coordinates: 36) Find the volume of the solid outside the cone z2 = x2 + y2 and inside the sphere x2 + y2 + z2 1. Sketch the drawing of the graph. Use spherical coordinates: 36) Find the volume of the solid outside the cone z2 = x2 + y2 and inside the sphere x2 + y2 + z2 1. Sketch the drawing of the graph.
3. Find the volume of the solid in the first octant that lies above the cone z = 13(x+ + y) and inside the sphere x2 + y2 + y2 = 42. Use spherical coordinates. 4. Determine if the vectorfield F(x, y) - (x + y)i + (2xy + y) is conservative If it is, find a potential function