7_a. This question was asked before and the answer was given. (Please see the attached which has partial answer). In the given answer C_1 is considered as a line but the question says it is part of the parabola opening up. So my question is shouldn't C-1 should be y=X^2 since it is part of the parabola?Please take a look at it and give some good explanation so that I can understand this problem. Thank you. Compute each of the following line integrals.(a)x ds, where C is the portion of the parabola from (0,0) to (1, 1), followed by theline segment from (1, 1) to (-1, 4).The parabola opens upward. Step 1We have to find the value of oxds where Cis the portion of the parabola from (0, 0) to(1, 1),followed by the line segment from (1, 1) to (-1,4)This can be solved by the formula,Ses (x, y. z)ds = [" f (x (1), y (1), z (1) /(x (1)² + (v (1)° + (2 (1)* )dt→ ScS (x, y)ds = L, f (x (1), y (1) /œ (1)° + v° (1)°²dtSef (x, y, z)ds = [c, f (x, y, z)ds + fc,f (x, y, z)ds + ... + Sc,ƒ (x, y, z)ds%3Dwhere C = C U C2 U ... CnStep 2Now C'is as given in the figure:(-1,4C2(1,1)C1(0,0)

Name: 7_a. This question was asked before and the answer was given. (Please
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Description: 7_a. This question was asked before and the answer was given. (Please see the attached which has partial answer). In the given answer C_1 is considered as a line but the question says it is part of the parabola opening up. So my question is shouldn't

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Answered: Compute each of the following line…

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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7_a. This question was asked before and the answer was given. (Please see the attached which has partial answer). In the given answer C_1 is considered as a line but the question says it is part of the parabola opening up. So my question is shouldn't C-1 should be y=X^2 since it is part of the parabola?

Please take a look at it and give some good explanation so that I can understand this problem. Thank you.

Compute each of the following line integrals.
(a)
x ds, where C is the portion of the parabola from (0,0) to (1, 1), followed by the
line segment from (1, 1) to (-1, 4).
The parabola opens upward.

Step 1
We have to find the value of oxds where Cis the portion of the parabola from (0, 0) to
(1, 1),followed by the line segment from (1, 1) to (-1,4)
This can be solved by the formula,
Ses (x, y. z)ds = [" f (x (1), y (1), z (1) /(x (1)² + (v (1)° + (2 (1)* )dt
→ ScS (x, y)ds = L, f (x (1), y (1) /œ (1)° + v° (1)°²dt
Sef (x, y, z)ds = [c, f (x, y, z)ds + fc,f (x, y, z)ds + ... + Sc,ƒ (x, y, z)ds
%3D
where C = C U C2 U ... Cn
Step 2
Now C'is as given in the figure:
(-1,4
C2
(1,1)
C1
(0,0)

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