Question

Problem #4: F.ndS Use the divergence theorem find the outward flux of the field to vector e+7 cosxj +y? and x2 + y2 V 49 an (3y + 8z) i 2 2 k, where S is the surface of the region bounded by the F graphs of z Vx V + symbolically, Enter your answer (sqrt(2)-1)*(686/3*pi) as in these examples Problem #4 686 JT 3 Submit Problem # 4 for Grading Just Save Attempt #3 Problem #4 Attempt #1 Attempt #2 Attempt #4 Attempt #5 (V2-1)30 686 Your Answer: Your Mark 0/2x 9

Answer 1

21+7cosn F 32), e Here Ja Sas SSAv Flun div F. dv n binding partial devivalive et iv F means , Z. vespeck uith get we 1tence a ( Co) +6.82) +7cosn 22+7cos Ce Co) O 2 Z 1 X 2Jy2 Jnuy thal Also kuou we R al centrer ovigin sphere euith eguation of

Spheric al coov dinetes abouk he kuow we than ence PC,,) -Pcos >y 2Psing co3 y Psin sine

we Here 1)) sin p. ps dfd#do Ish) 1 7 .df do - cos20 343 I-cosg d e 2 34 3 CP B4 3 do 34 3 TT 34 3 T
hence flux=
343т. 4