Jrbizkit
04.11.2019 •
Mathematics
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)?
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