Some methods for finding the surface of revolution include using integration, the disk method, and the shell method. These methods involve breaking down the surface into smaller, more manageable parts and then using mathematical formulas to calculate the total surface area.Post...
An ellipsoid is an elongated sphere. To calculate its volume, first locate the center and measure the lengths of the three perpendicular axes a, b and c from that point to the surface of the ellipsoid. You can now calculate its volume: V_{ellipsoid}=\frac{4}{3}\...
Use the surface integral in Stokes' Theorem to calculate the circulation of the field \boldsymbol{F} =(y^{2} + z^{2}) \boldsymbol{i} + (x^{2} + y^{2}) \boldsymbol{j} + (x^{2} + y^{2}) \boldsymbol{k} a Find the circulation C G [ x ] d X for the vector field...
A hypsometric integral is usually calculated byplotting the cumulative height and the cumulative area under that height for individual watersheds and then taking the area under that curve to get the hypsometric integral. How do you calculate Hypsometric curve?
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I am now building a 2D structure which is half-infinite, which I should add a PML layer. Wave incident to the structure and I would like to calculate how much power it remains after passing through it. I know it is easy to use port BC to get S-parameter to get...
Definite integrals are a type of integral wherein the integration is done within a defined interval. The interval can be either open or closed, as long as one is present. Unlike indefinite integrals, where the answers are functions, the answers to definite integrals have actual values. The ...
Homework Statement Given F = xyz i + (y^2 + 1) j + z^3 k Let S be the surface of the unit cube 0 ≤ x, y, z ≤ 1. Evaluate the surface integral ∫∫(∇xF).n...
How To Calculate CG Dougal Waters/DigitalVision/GettyImages Before discussing center of gravity, let's assume a few parameters. One, that you're dealing with an object that's on the Earth's surface, not out in space somewhere. And two, that the object is reasonably small – say, not a...
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