calculate |(3y-VE)ds where C is the curve

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
calculate
(3y-V2)ds where C is the curve given by the arc ofthe parabola
* = y, x = 1, from A(1,0,0) toB(1,2, 4) followed by the line segment of B (1,2,4)
to C(-1,1,4)
Transcribed Image Text:calculate (3y-V2)ds where C is the curve given by the arc ofthe parabola * = y, x = 1, from A(1,0,0) toB(1,2, 4) followed by the line segment of B (1,2,4) to C(-1,1,4)
Expert Solution
Step 1

In this question, we evaluate the integral by parametrization of the curves

the integral is

c(3y-z)dsfrom A  to B by parabola and from B to C by straight line.

 

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