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7. [3/4 Points] DETAILS PREVIOUS ANSWERS MY NOTES The storage shed in the figure is the shape of a half-cylinder of radius r meters and

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7. [3/4 Points] DETAILS PREVIOUS ANSWERS MY NOTES The storage shed in the figure is the shape of a half-cylinder of radius r meters and length / meters. (a) The shed is filled with sawdust whose density (kg/ms) at any point is proportional to the distance of that point from the floor. Write a formula for the density, d, as a function of x, the distance from the floor in meters. Use lower case k as the proportionality constant. d(x) = kx (b) Write the integral needed to find the total mass of the sawdust in the shed (in kg). Use all lower case letters. dx X 0 Submit

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