Evaluate the following integral in cylindrical coordinates. 6 213 16×2 SS S -x2 – y2 dy…
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Question “Evaluate the following integral in cylindrical coordinates. 6 213 16×2 SS S -x2 – y2 dy…”
Evaluate the following integral in cylindrical coordinates. 6 213 16×2 SS S -x2 – y2 dy dx dz e 0 0 X 6 213 16-X2 S ,-x2 – y2 dy dx dz = 0 0 x (Simplify your answer. Type an exact answer, using a as needed.)
Answer
(61252 16-22 Samoa en? ya dg. N change the cylindrical co-ordinate to the cartesion cooordinate. nar loso, yorlind, 2=2. Y= 16-nin = afya_16 7 rmagro.trrsind = 16. e91ere Le El4 r This is the limit for osriu. 1=0=> Ruso -0 = Caso 20 = 1/2 & N=282=7 Raso = 282 274050 2282 EUR) Caso 12 D = = The This is the limit of the integrala. 1/4 LOK12 = 0.226.
The volume is now 11 by MIN integral. (3-23 6 *1:4 4 masnoor Senzo o 9 t. 99-02 iji S s 11, 14 (“S”- S . Let’s see, tat 99 92. P 29x=r II. 16 2 San 2011 Te “p 8.0 92 ( – ) ozg. – S. (1- <<"] asa. 1) (" t 4 18 dzyn 1) 6. g) ) 4 (1-e16) I Creol Z ti-a-%) 4 2 g)
Conclusion
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