4-D Objects

It occurred to me how you can differentiate an equation to find how much volume it takes up if you were to rotate it on a 2-D graph. What if you were to use a form of differentiation to find how much volume it would take on a 4-D graph and how would you be able to sketch it on paper?

Easy Math Editor

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Comments

Yes it's called solids of revolution. I think you mean integrate. But yes, in 4D, i think that what you're asking is if you draw it. Take a pendulum that never stops swinging and has a cube on the end of it. If the mass doesn't remain constant, like it's stretched super easily, then you can triple integrate using the time variable and find how much mass the object has at one point in time.

Finn Hulse - 7 years, 4 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$