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7. Write down an explicit Riemann sum that gives an approximation for the curve y = a2 form (0, 0) to (1, 1) using N

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7. Write down an explicit Riemann sum that gives an approximation for the curve y = a2 form (0, 0) to (1, 1) using N = 100 pieces and evaluating the derivative at the right- hand endpoints of each subinterval. Ax= 1/100 201+ 4 (1 / 10 0 ) 24 x Worksheet 16: Riemann Sums and Arc Length 8. As N -+ 0, the Riemann sums in part (7.) approach a specific definite integral (e.g., something like S, v2 + x dx). Write down this definite integral, but do not try and compute it. 9. Generalize the result in part (8.). If y = f(x) is a differential function, then the arc length from (a, f(a)) to (b, f(b)) is given by the definite integral

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