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A Flat Metal Plate Is in the Shape Determined by the Area

Question 13

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A flat metal plate is in the shape determined by the area under the graph of f(x)=11+xf(x)=\frac{1}{1+x} between x = 0 and x = 4.The density of the plate x units from the y-axis is given by x2 grams/cm2.Write down a Riemann sum which approximates the total mass.Convert it to an integral, and evaluate the integral to 3 decimal places.  A flat metal plate is in the shape determined by the area under the graph of  f(x)=\frac{1}{1+x}  between x = 0 and x = 4.The density of the plate x units from the y-axis is given by x<sup>2</sup> grams/cm<sup>2</sup>.Write down a Riemann sum which approximates the total mass.Convert it to an integral, and evaluate the integral to 3 decimal places.

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