Consider the height from the prior problem h(x, y)=4x2+y2. consider the constraint relation f(x, y,z)=4x2+y2-z=0. starting at the point x=1,y=0,z=4, can we find a function x[y, z] which satisfies the relation f(x[y, z],y, z)=0 in some neighborhood of y=0,z=4? if so what are the partial derivatives of x[y, z] with respect to y (keeping z fixed) and z (keeping y fixed)?