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Find the values of constants \( a, b \), and \( c \) so that the graph of \( y=a x^{3}+b x^{2}+c x ...
Find the values of constants \( a, b \), and \( c \) so that the graph of \( y=a x^{3}+b x^{2}+c x \) has a local maximum at \( x=-3 \), local minimum at \( x=1 \), and inflection point at \( (-1,11 \) ). \[ a=\quad b=c \] (Simplify your answers. Type integers or simplified fractions.)