Problem 47864. Calculate the Surface Area of an Ellipsoid

Created by David Hill

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<div style = "text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; "><div style="block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; "><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">Calculate the Surface Area of an Ellipsoid: (x/a)^2+(y/b)^2+(z/c)^2=1. Input will be a matrix [a,b,c]. Round output to four decimal places.</span></span></div></div></div>

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28 Solutions
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Last Solution submitted on Nov 30, 2022

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Rafael S.T. Vieira on 7 Nov 2022

Please, don't use the function isequal with floats. Apply a tolerance to the test suite: abs(a-b)<1e-4. My code computes the exact value for the area (using incomplete elliptic integrals of the first and second kind), and has trouble with rounding issues.

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Problem 47864. Calculate the Surface Area of an Ellipsoid

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Problem 47864. Calculate the Surface Area of an Ellipsoid

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Last 200 Solutions

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