Question 1 Evaluate ff, A.n ds, where A = (x+ y²)i - 2xý + 2yzk and S is the surface of the plane 2x + y + 2z =6 in the first octant. Question2 . Show that | F.n ds = 3 where F = 4 xzî - yj + yz k 2' and S is the surface of the cube bounded by the planes, University of Misan College of Science Department of Physics Mathematics Third Year Dr. Munther x= 0, x = 1, y 0, y = 1, z = 0, z 1. S.No. Surface Outward ds normal dx dy z = 0 dx dy dx dz y = 0 1 ОАВС - k 2 DEFG k z = 1 3 OAGF 4 ВСED dx dz y = 1 dy dz | x = 1 dy dz ABDG i ОСЕF - i x = 0 F E Y

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question 1
Evaluate ff, A.î ds, where A = (x+ y?)i - 2xj + 2yzk and S is the surface of the plane
2x + y + 2z =6 in the first octant.
Question2
. Show that | F.n ds =
3
where F = 4 xzî - yj + yz k
2'
and S is the surface of the cube bounded by the planes,
2
University of Misan
College of Science
Department of Physics
Mathematics
Third Year
Dr. Munther
x= 0, x = 1, y 0, y = 1, z = 0, z 1.
S.No. Surface Outward
ds
normal
dx dy z = 0
dx dy
dx dz y = 0
1
ОАВС
- k
2
DEFG
k
z = 1
3
OAGF
4
ВСED
j
dx dz
y = 1
dy dz | x = 1
dy dz
5
ABDG
i
ОСЕF
- i
x = 0
E
D
-Y
C
Transcribed Image Text:Question 1 Evaluate ff, A.î ds, where A = (x+ y?)i - 2xj + 2yzk and S is the surface of the plane 2x + y + 2z =6 in the first octant. Question2 . Show that | F.n ds = 3 where F = 4 xzî - yj + yz k 2' and S is the surface of the cube bounded by the planes, 2 University of Misan College of Science Department of Physics Mathematics Third Year Dr. Munther x= 0, x = 1, y 0, y = 1, z = 0, z 1. S.No. Surface Outward ds normal dx dy z = 0 dx dy dx dz y = 0 1 ОАВС - k 2 DEFG k z = 1 3 OAGF 4 ВСED j dx dz y = 1 dy dz | x = 1 dy dz 5 ABDG i ОСЕF - i x = 0 E D -Y C
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