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(Solved): 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

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.)


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Given a function y=ax3+bx2+cx Given y(x)has point of inflection at
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