Translate the equations and inequalities from the given coordinate system Translate the equations and inequalities from the given coordinate system (cylindrical or spherical) into equations and inequalities in rectangular coordinates. Sketch the surface for each equation in 3D-space. (a)
\phi =(3\pi )/(4),0<=\rho <=\sqrt(2)
(b)
z^(2)-r^(2)=1
(c)
z+r^(2)cos(2\theta )=0
( cylindrical or spherical ) into equations and inequalities in rectangular coordinates. Sketch the surface for each equation in 3 D - space. ( a ) \phi = 3\pi 4 , 0 <= \rho <= 2 ( b ) z 2 - r 2 = 1 ( c ) z + r 2 cos(2\theta ) = 0