Calculus

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Mass of a parabolic thread.

This diagram illustrates the calculation of the mass along a parabolic curve using the function y = x2. It provides a detailed view of how the segment of the curve is analyzed to compute mass by considering the linear density at each point along the curve. The mass is computed as the product of linear density ρ(Pi) and the arc segment ΔsiΔsi​.

This diagram illustrates the calculation of the mass along a parabolic curve using the function y = x2. It provides a detailed view of how the segment of the curve is analyzed to compute mass by considering the linear density at each point along the curve. The mass is computed as the product of linear density ρ(Pi) and the arc segment ΔsiΔsi​.

This visual aids in teaching integral calculus, line integrals, and mass distribution along curves in both mathematics and physics contexts.

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