Mathematical Scratchpad
Inner:
Completion:
where is the triangle with vertices
where is the region bounded by and
Tetrahedron in first octant bounded by coordinate planes and
Solid inside both the sphere and paraboloid
Compute
Inner: Using and
Completion:
FInd the area bounded by the cardioid
Find the area bounded by one leaf of the rose
Find area inside both
and
Find where is the region bounded by the -axis, the line and the circle
Find the volume of the solid bounded by the paraboloid and the -plane.
Find the volume inside the sphere and outside the cylinder
Find the volume inside the sphere and outside the cylinder
[This is a project problem but a hint is to write the equation of the cylinder in polar coordinates.]