Calculus

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Given the function defined as f(x)=x^3-(3/2)x^2-6x+10

a) Explain why f(x) must have a root between x=-3 and x=-2

b) Write an equation of the line perpendicular to the graph of f at x=0

c) Find the x and y coordinates of the point on the graph of f where the line tangent to the graph is parallel to the x-axis

Help would be GREATLY appreciated !

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