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Introductory Physics Homework Help
Vector calculus- region-density-mass
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[QUOTE="Chandra Prayaga, post: 6041341, member: 6922"] The attempt that you posted is too small and I cannot click on it to get a better view. But from what I can see, I suggest the following. 1. Understand, from the ranges of x, y and z given by you, the shape of the region you are interested in. In other words, answer the first question and sketch the region. In your graph, you only showed a few isolated points. You did not sketch the region in space. 2. The relevant equation posted by you is not adequate. Density = mass / volume is good only if the density is constant. In your case, the density depends on position (your equation: ρ = 1 + z). Then you must use the differential form: dm = ρ dV, and integrate this to get the total mass. It will be a triple integral. [/QUOTE]
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Vector calculus- region-density-mass
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