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3. Students were asking about applications of surface integrals in class last week. If S is a surface with density p(x,y,z),
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The chatge the 3. 2urface On o.003 Cos2ds S P, ds S Sphere of facdius Scm Paramet erizing r (,e)=a Sind Cosoi a sing sine- +27 6.003 Cos2ds o 003 Cos4 Igxroldødo a Cosd sind j (-a sing) k Sin Coss o K a Cos Cose i + Sind Sine it a A A - asin acos C27 a2 Sind dde 0-003 (os2 a=SCM 27 0 003 x S 2. do Using substitution -Cos 3 2K o-075 total charge in C Q= o07S27x «(-Cos- Co

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