Find an Equation for the Tangent Plane to the Ellipsoid $( x - 1 ) ^ { 2 } + 4 ( y - 2 ) ^ { 2 } + ( z - 3 ) ^ { 2 } = 17$

Essay

Find an equation for the tangent plane to the ellipsoid $( x - 1 ) ^ { 2 } + 4 ( y - 2 ) ^ { 2 } + ( z - 3 ) ^ { 2 } = 17$ at the point $( 3,1,0 )$ .