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5- Calculate the slope of the tangent line to f(x)=20x2 at x=2 by using the method of small intervals. In all blanks below, enter only

5- Calculate the slope of the tangent line to f(x)=20\x2 at x=2 by using the method of small intervals. In all blanks below, enter only a number rounded to 6 decimal places if needed (but do not round intermediate calculations on paper). If an answer is negative, don't forget the negative sign in front of the number, or marks will not be given! (a) what is the AROC between x= 2 and x= 2.1: (b) what is the AROC between x = 2 and x = 2.01: (c) what is the AROC between x = 2 and x = 2.001: (d) Based on the previous calculations, what's the estimate for the slope of the tangent line at x = 2

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