surface area of two connected surfaces












0














enter image description here



If you want to compute the surface area bounded by the upper hemisphere and the paraboloid, do you have to split the integral into two different surface integrals ?










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  • Hi and welcome to the Math.SE. What is precisely the problem you are dealing with? I mean: do you want a suggestion on how to proceed for the calculation of the integral shown in the picture attached to your post? Anyway, be careful when you pose a question, and always provide context in order to help other users help you.
    – Daniele Tampieri
    Dec 3 '18 at 21:00
















0














enter image description here



If you want to compute the surface area bounded by the upper hemisphere and the paraboloid, do you have to split the integral into two different surface integrals ?










share|cite|improve this question
























  • Hi and welcome to the Math.SE. What is precisely the problem you are dealing with? I mean: do you want a suggestion on how to proceed for the calculation of the integral shown in the picture attached to your post? Anyway, be careful when you pose a question, and always provide context in order to help other users help you.
    – Daniele Tampieri
    Dec 3 '18 at 21:00














0












0








0







enter image description here



If you want to compute the surface area bounded by the upper hemisphere and the paraboloid, do you have to split the integral into two different surface integrals ?










share|cite|improve this question















enter image description here



If you want to compute the surface area bounded by the upper hemisphere and the paraboloid, do you have to split the integral into two different surface integrals ?







multivariable-calculus surface-integrals






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edited Dec 4 '18 at 9:02









Kuifje

7,1082725




7,1082725










asked Dec 3 '18 at 20:50









Brandon Hernandez

1




1












  • Hi and welcome to the Math.SE. What is precisely the problem you are dealing with? I mean: do you want a suggestion on how to proceed for the calculation of the integral shown in the picture attached to your post? Anyway, be careful when you pose a question, and always provide context in order to help other users help you.
    – Daniele Tampieri
    Dec 3 '18 at 21:00


















  • Hi and welcome to the Math.SE. What is precisely the problem you are dealing with? I mean: do you want a suggestion on how to proceed for the calculation of the integral shown in the picture attached to your post? Anyway, be careful when you pose a question, and always provide context in order to help other users help you.
    – Daniele Tampieri
    Dec 3 '18 at 21:00
















Hi and welcome to the Math.SE. What is precisely the problem you are dealing with? I mean: do you want a suggestion on how to proceed for the calculation of the integral shown in the picture attached to your post? Anyway, be careful when you pose a question, and always provide context in order to help other users help you.
– Daniele Tampieri
Dec 3 '18 at 21:00




Hi and welcome to the Math.SE. What is precisely the problem you are dealing with? I mean: do you want a suggestion on how to proceed for the calculation of the integral shown in the picture attached to your post? Anyway, be careful when you pose a question, and always provide context in order to help other users help you.
– Daniele Tampieri
Dec 3 '18 at 21:00










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Yes, as the upper and bottom surfaces have different equations, they have different parametrizations, and therefore the integrals to compute the surface areas have different domains.






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    Yes, as the upper and bottom surfaces have different equations, they have different parametrizations, and therefore the integrals to compute the surface areas have different domains.






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      Yes, as the upper and bottom surfaces have different equations, they have different parametrizations, and therefore the integrals to compute the surface areas have different domains.






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        Yes, as the upper and bottom surfaces have different equations, they have different parametrizations, and therefore the integrals to compute the surface areas have different domains.






        share|cite|improve this answer












        Yes, as the upper and bottom surfaces have different equations, they have different parametrizations, and therefore the integrals to compute the surface areas have different domains.







        share|cite|improve this answer












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        answered Dec 4 '18 at 9:04









        Kuifje

        7,1082725




        7,1082725






























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