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. The ellipsoid++= 1 can be parametrized using ellipsoidal coordinates x=asino cose, y=bsino sine, z=ccos, for 0≤0≤2 and 0 ≤ ≤. Show that the surface area S of the ellipsoid is S = "²" sino√/a²b² cos² + c²(a² sin²0 + b² cos²0) sin² $ de d$ . (Note: The above double integral can not be evaluated by elementary means. For specific values of a, b and c it can be evaluated using numerical methods. An alternative is to express the surface area in terms of elliptic integrals.5)

. The ellipsoid++= 1 can be parametrized using ellipsoidal coordinates x=asino cose, y=bsino sine, z=ccos, for 0≤0≤2 and 0 ≤ ≤. Show that the surface area S of the ellipsoid is S = "²" sino√/a²b² cos² + c²(a² sin²0 + b² cos²0) sin² $ de d$ . (Note: The above double integral can not be evaluated by elementary means. For specific values of a, b and c it can be evaluated using numerical methods. An alternative is to express the surface area in terms of elliptic integrals.5)

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter8: Complex Numbers And Polarcoordinates
Section: Chapter Questions
Problem 8CLT
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人工知能を使用せず、 すべてを段階的にデジタル形式で解決してください。 ありがとう SOLVE STEP BY STEP IN DIGITAL FORMAT DON'T USE CHATGPT 10. The ellipsoid++=1 can be parametrized using ellipsoidal coordinates x=asino cose, y=bsino sine, z=ccos, for 0≤0 ≤2л and 0 ≤ ≤л. Show that the surface area S of the ellipsoid is S = 2x "²" sino √/a²b² cos² + c²(a² sin²0 + b² cos²0) sin² $ d& d$ . (Note: The above double integral can not be evaluated by elementary means. For specific values of a, b and c it can be evaluated using numerical methods. An alternative is to express the surface area in terms of elliptic integrals.5)
Transcribed Image Text:人工知能を使用せず、 すべてを段階的にデジタル形式で解決してください。 ありがとう SOLVE STEP BY STEP IN DIGITAL FORMAT DON'T USE CHATGPT 10. The ellipsoid++=1 can be parametrized using ellipsoidal coordinates x=asino cose, y=bsino sine, z=ccos, for 0≤0 ≤2л and 0 ≤ ≤л. Show that the surface area S of the ellipsoid is S = 2x "²" sino √/a²b² cos² + c²(a² sin²0 + b² cos²0) sin² $ d& d$ . (Note: The above double integral can not be evaluated by elementary means. For specific values of a, b and c it can be evaluated using numerical methods. An alternative is to express the surface area in terms of elliptic integrals.5)
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