Evaluate exactly the following line integrals: a) b) c) √1+25x'y ds, where C is the curve y = x' for 0≤x≤1. dx+x² dy +(4-y2)dz, where C is a semi-circle of radius 2 that lies in the yz-plane below the y-axis, oriented in the counter-clockwise direction. F-dr, where F(x, y) = (e.e") and C is the piecewise linear path consisting of the line segments (0,3) to (3,3) to (1,1).
Evaluate exactly the following line integrals: a) b) c) √1+25x'y ds, where C is the curve y = x' for 0≤x≤1. dx+x² dy +(4-y2)dz, where C is a semi-circle of radius 2 that lies in the yz-plane below the y-axis, oriented in the counter-clockwise direction. F-dr, where F(x, y) = (e.e") and C is the piecewise linear path consisting of the line segments (0,3) to (3,3) to (1,1).
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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Transcribed Image Text:2.
Evaluate exactly the following line integrals:
a) √1+25x³y ds, where C is the curve y = x' for 0≤x≤1.
b)
c)
2² dx + x² dy +(4- y²) dz, where C is a semi-circle of radius 2
that lies in the yz-plane below the y-axis, oriented in the
counter-clockwise direction.
F.dr, where F(x, y) = (ee) and C is the piecewise linear
path consisting of the line segments (0,3) to (3,3) to (1,1).
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