1. Evaluate [F.dr where F=xz²i+yj-x²k along the curve x = sin cos0, y = sin²0, z =cose with increasing from 0 to π/2. (a) (c) 1310910 (b) (d) 7 10 11 10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1.
Evaluate fF.dr where F=xz²i+yj-x²k along the
curve x = sin cos0, y = sin²0, z =cose with
increasing from 0 to π/2.
13
(a)
(c)
110
9
10
(b)
(d)
7
10
11
10
Transcribed Image Text:1. Evaluate fF.dr where F=xz²i+yj-x²k along the curve x = sin cos0, y = sin²0, z =cose with increasing from 0 to π/2. 13 (a) (c) 110 9 10 (b) (d) 7 10 11 10
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z = Cas 8
y = Rin20
4 = Swnl
= Sinz0
= Sinze
de=1233299265528
2 = 38
_y = Singe
x = inaJ8
18 = duit dy jtdz 1²,
+d21
12-21
1.y=1-2
1 = 2
z = Cas 8
07oto117474
221 too
$2
५०1-22
1 =
पू
2 = 211-z2
dभ =
+
वय =
2
Jaay
2/27
day =
28-4
=-2zdz
अच
(2z-423) dz
1224
711-2)
dz
7/1-
dr = 122 dर
for (222) dri+ y loy) - 2212121
(21122) 22 (122)d2 + (1-22) (22d2)
- (2224)d2
2. (231-22) +2/2-1) 2 4 + (24-23)/d2
12-25+22-22421-22
24
4
20
1
+
+22
4
+24
2
4
-273
2
-2²² +25-2²
3
7
O
+1 -1 +1 -1
6 2
T
S
3
15-10t30-60412-20
८०
330
33
Transcribed Image Text:z = Cas 8 y = Rin20 4 = Swnl = Sinz0 = Sinze de=1233299265528 2 = 38 _y = Singe x = inaJ8 18 = duit dy jtdz 1², +d21 12-21 1.y=1-2 1 = 2 z = Cas 8 07oto117474 221 too $2 ५०1-22 1 = पू 2 = 211-z2 dभ = + वय = 2 Jaay 2/27 day = 28-4 =-2zdz अच (2z-423) dz 1224 711-2) dz 7/1- dr = 122 dर for (222) dri+ y loy) - 2212121 (21122) 22 (122)d2 + (1-22) (22d2) - (2224)d2 2. (231-22) +2/2-1) 2 4 + (24-23)/d2 12-25+22-22421-22 24 4 20 1 + +22 4 +24 2 4 -273 2 -2²² +25-2² 3 7 O +1 -1 +1 -1 6 2 T S 3 15-10t30-60412-20 ८० 330 33
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