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Submarine Modeling

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Hello, I'm working on a project, and my teacher gave me something to think about, but im at a loss. He wants me to come up with an equation to model the maximum height a submarine can go underwater, if it can withstand a maximum pressure of 80kpa. I started thinking it was an integral problem, integ(dP/dz) but i'm not sure. Any help would be much appreciated.

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