Final answer:
The equation for the plane y=5x in cylindrical coordinates is r sin(theta) = 5r cos(theta).
Step-by-step explanation:
The equation for the plane y=5x in cylindrical coordinates can be found by converting the equation from Cartesian coordinates to cylindrical coordinates.
In cylindrical coordinates, x = r cos(theta), y = r sin(theta), and z = z. So, substituting these equations into the original equation y = 5x, we get r sin(theta) = 5(r cos(theta)).
Thus, the equation for the plane y = 5x in cylindrical coordinates is r sin(theta) = 5r cos(theta).