A hyperbola with the equation 
is given.
Calculate the equations of both tangents to the given hyperbola at points 
and 
.
The tangent m with the equation 
intersects the asymptote with the equation 
of the given hyperbola at point P. Let 
and 
be the foci of the given hyperbola. Calculate the points 
and and write the equation of the circle through these three points.
The area bounded by the tangent t with the equation . The hyperbola is rotated about the abscissa axis by 
. Calculate the volume of the solid of revolution V.
.
.
.
and 
.
.
.
