Match the equation with its graph.
x = cos3(u) cos3(v)
y = sin3(u) cos3(v)
z = sin3(v)
Determine which families of grid curves have u constant and which have v constant.
u constant
each grid curve is a helix
each grid curve is a circle of radius |u| in the horizontal plane z = sin(u)
each grid curve is a vertically oriented circle
each grid curve is a circle of radius (1 − |u|) in the horizontal plane z = u
each grid curve lies in a plane z = ky that includes the x-axis
the grid curves lie in the vertical plane y = (tan3(u))x through the z-axis
