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How does pressure change in a combustion engine? How fast does the water level rise when filling a pool? Calculus quantifies the impact of change on areas, angles, distances, temperatures, and more.

The linear density of a rod is defined as the derivative of the mass function with respect to the position along its length. Suppose that the mass function of the rod in the above diagram at distance \(x\) meters from the left endpoint is given by \(m=f(x)=\sqrt{x}\) kg. What is the linear density of the rod at \(x=25\) in (kg/m)?

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The linear density of a rod is defined as the derivative of the mass function with respect to the position along its length. Suppose that the mass function of the rod in the above diagram at distance \(x\) meters from the left endpoint is given by \(m=f(x)=\sqrt{x}\) kg. What is the linear density of the rod at \(x=4\) in (kg/m)?

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