Question

$*$*-* ? /12-** Rewrite the following integral using the order dydxdz (4 - x)/2 (12-3x -6y)/4 dzdydx 0 Select one: -S1*8*3 ayrics 5. $*$*2-43)* . ** -**-*/ Odydxdz c. None of the choices is correct answer (12-4z)/3 (12-3x - 4z)/6 d. dydxdz o PO 0 $* L*2-43/8/2-** 2z 2z e. dydxdz

Answer 1

① Rewrite the following intequal using the order 4 dy dudz (12-34-ay 을 *** de dy du 4-44 12-3x ay 4 2= 4- son de dy du n2 y 2o 250 12-34 ty 3K+ xy +42 = 12 12 41 = 12 - 42 - Bu 12 42 3n yo 30+ + 7y +92 =12 Take projection on yz-Plane y zo 12-12-30 30+ Az = 12

30+ 42= 2 z *103) 12-14 3. 3nt42 = 12 - 3 4 The limit of g voorries from otol 12 - 42-34) limit of a varries from a to 12-42 and limity z varries From o to 3 12-34-44 ss ID Yo 250 dy dudz Ja yoo 12-42 34 dz 3 12-92 Y= 12-42-34 dz dy du 070 4-1 12-34-14 3 12-12 4 dy duda o region bonded below by The 2 set up a triple istegorcel for the volume of the solid paraboloid 2=nity and above by the Sphere & th 4226 Solo, ntyr and ht+2²= 6 2= n

2= nity x+y + 2 = 6 z²= 6-w7yr 2=7J6-ut-y Here, yo z=J6wny 24442=6 = -160 Z= x²ty2 Take projection on xy - plane, zo x+y? = 6 Y = ± 6-12 The limit of z varries from tyz to 1 6-4² 42 limit of y varies from J6n2 to John and limit of x varies from so to St To son 2 Jour sortir dz dy du dz dy drej Vas