(a) (12 points) Find all numbers c in the interval (3, 4) so that the tangent...

   

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(a) (12 points) Find all numbers c in the interval (3, 4) so that the tangent line to the graph of f(x)=-3+x-3 at x = c is parallel to the line through (3, (3)) and (4, (4)). (a) (12 points) Find all numbers c in the interval (3, 4) so that the tangent line to the graph of f(x)=-3+x-3 at x = c is parallel to the line through (3, (3)) and (4, (4)).