The physics of "leaking" is given by a law discovered by Torricelli: We know that , where r is a constant. And we do that by pluggin in our initial values: Let us round up our little gallery of examples. Therefore, if we know T, we can get r and vice-versa. Looks good to me! Radioactive Decay Many radioactive materials disintegrate at a rate proportional to the amount present. An easy calculation gives. You wish to have 30 g at the end of 30 days. The half-life is the time span needed to disintegrate half of the material. This volume must be equal to that the water missing in the tank: In any case we need to make some assumptions to keep the case simple:

# Carbon dating using differential equation. Calculus I: Lesson 20: Exponential Growth and Decay.

The physics of "leaking" is given by a law discovered by Torricelli: We know that , where r is a constant. And we do that by pluggin in our initial values: Let us round up our little gallery of examples. Therefore, if we know T, we can get r and vice-versa. Looks good to me! Radioactive Decay Many radioactive materials disintegrate at a rate proportional to the amount present. An easy calculation gives. You wish to have 30 g at the end of 30 days. The half-life is the time span needed to disintegrate half of the material. This volume must be equal to that the water missing in the tank: In any case we need to make some assumptions to keep the case simple:

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