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A rectangular field is to be enclosed with a fence. The available fencing material is 150 meters long and a building is on side of the field and therefore, would not need any fencing. Determine the dimension of the field that will enclose the largest areaA closed cylindrical tank is to be made with a fixed volume. Determine the tank's relative dimensions that will use the least quantity of material.Find the rate of change of the volume (V) of a sphere with respect to its radius (r) when r = 4