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1. Consider the following table of values for the differentiable function f. 1.0 1.2 1.4 1.6 1.8 f(x) 5.0 3.5 2.6 2.0 1.5 (a) Estimate
1. Consider the following table of values for the differentiable function f. 1.0 1.2 1.4 1.6 1.8 f(x) 5.0 3.5 2.6 2.0 1.5 (a) Estimate f'(1.4). (b) Give an equation for the tangent line to the graph of f at x = 1.4. (c) What is the sign of f"(1.4)? Explain your answer. (d) Using the data in the table, find a midpoint approximation with 2 equal subdivisions for 1.8 [f(x) dx. 1.0
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