Integrate f(x,y,z) = x + √y-2² over the path from (0,0,0) to (4,16,4) given by C₁: r(t)=ti+t²j, Osts4 C₂: r(t)=4i + 16j + tk, Osts 4. √(x + √y-2²) ds = C (Type an exact answer.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A
Integrate f(x,y,z) = x + √y-z² over the path from (0,0,0) to (4,16,4) given by
C₁: r(t)=ti+t²j, Osts4
C₂: r(t)=4i + 16j + tk, Osts 4.
f (x + √y-2²) ds =
с
(Type an exact answer.)
M
S
E
D
$
R
F
F5
A
G
F6
7
H
Transcribed Image Text:A Integrate f(x,y,z) = x + √y-z² over the path from (0,0,0) to (4,16,4) given by C₁: r(t)=ti+t²j, Osts4 C₂: r(t)=4i + 16j + tk, Osts 4. f (x + √y-2²) ds = с (Type an exact answer.) M S E D $ R F F5 A G F6 7 H
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