Let er be the unit radial vector and r=x2+y2+z2−−−−−−−−−−√. Calculate the integral of F=e−rer over: (a) The upper-hemisphere of

Question

2 years ago

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Let er be the unit radial vector and r=x2+y2+z2−−−−−−−−−−√. Calculate the integral of F=e−rer over: (a) The upper-hemisphere of

x2+y2+z2=25 , outward-pointing normal (b) The region on the sphere of radius r=5 centered at the origin that lies inside the first octant x,y,z≥0 (a) ∬SF⋅dS=

Mathematics

1 answer:

user100 [1] · Answer 1 · 2023-06-11T05:54:39+03:00

user100 [1]2 years ago

3 0

Answer:

72πe⁻⁶, 81/2πe⁻⁹

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