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
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
Problem 1RQ
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Question
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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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
Solution
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