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Awan
Awan

5 chevron_right Integration chevron_right United Kingdom

Pls pls pls help with triple integral questions

I’m so confused
How to find mass for q3 and only need help to find limits for q4
Thank u

Date Posted: 5 years ago
Views: 514

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Lee Zhi Xian
Lee Zhi Xian's answer
51 answers (Tutor Details)
1st
First we use the spherical coordinate system to express an infinitesimal mass as density at a point, multiplied by the infinitesimal volume at that point. Then we convert the density into its spherical coordinates form. Then we perform the integration using appropriate limits bearing in mind we are only finding the mass of a hemisphere. Then we multiply the final answer by 2 to get the entire mass (by symmetry)
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Lee Zhi Xian
Lee Zhi Xian's answer
51 answers (Tutor Details)
Sketch the region and then identify the limits of integration