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Year 1960 1965197019751980 19851990 Rate 10.82 13.06 14.61 14.99 18.60 19.33 22.46 Give both an over-estimate and an under-estimate of the amount of coal produced between 1960 and 1965. Explain how you arrived at your estimates and what they mean geometrically (as an area). Particularly, show how your area relates to the graph of r(t) l 0% ) Use a Riemann sum to estimate the coal production between 1960 and 1990 and represent the sum geometrically on your graph. Could you use a different Riemann sum to estimate the coal production (this is not simply a yes or no answer, explain)? Annual coal production per year is a rate of change (i.e. derivative). Describe the function you would take the derivative of to get r(t). That is, describe a function F(t) such that and F(t) represent. F ()-r(t). The description should include whatt

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