Rope-a-Dope A company manufactures rope, and the total cost of producing r feet of rope is C(r) dollars. You know that C(2000) = 800 and C"(2000) = 0.35. Write the point-slope form of the equation of the tangent line to the graph of the function. Use your tangent line equation to derive the linearization of C(r) at r = 2000. Use your linearization to estimate C(2100).

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