Question
(16) (7 points) Set up an iterated integral of f (x, y, z) = x2 +...
(16) (7 points) Set up an iterated integral of f (x, y, z) = x2 + y2 + z2 over the solid region shown below. Use the spherical coordinates. N 1 y - One-eighth sphere
Answers
f(x,y,2) = x² + y² +2² we have to setup & find the integral over the region given. using spherical co-ordinat systen ok A let x=8 Cosesind y = p sinesind 2= 8 cosa x² + y2 +2²=8² oso e Ź Į asoso I søsoospel hence, J = p²sind . I= 1° they'p4 sind dpaode $=- Do Pro 112 ng 571 7 Sin& dodo h 0 0 112 (1608) (-1+0)
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