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Consider the equation x^3+3(y^2)+4x(z^2)-3(z^2)y=1.Show that the points(x0,y0,z0)=(-1,2,1)and(x1,y1,z1)=(-1,-1,1) both satisfy this equation.Then, showt hat this equation for x can be solved as a function of (y,z)

Consider the equation x^3+3(y^2)+4x(z^2)-3(z^2)y=1.Show that the points(x0,y0,z0)=(-1,2,1)and(x1,y1,z1)=(-1,-1,1) both satisfy this equation.Then, showt hat this equation for x can be solved as a function of (y,z) in neighborhoods of each of these twopoints. For each of these two implicit functions, calculate x/y and x/z(respectively a tpoints(y,z)=(2,1)and(y,z)=(-1,1), i.e .you have 4 quantities to calculate

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