1. Evaluate the given line integral, {-y,x – y) - dR, where C is the upper part of 22 + y? = 1 from (–1,0) to (1,0). Your answer 2. Evaluate the given line integral, -y, -y) - dR, where C is the line segment from (1,0) to (–1,0). Your answer 3. Evaluate the given line integral, I (-y,x – y)-Ř'(t) dt, where C1 is the curve in No. 1 and C1+C2 C2 is the curve in No. 2.

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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1. Evaluate the given line integral,
| (-y,x – y) · dR, where C is the upper part of
x² + y? = 1 from (-1,0) to (1,0).
Your answer
2. Evaluate the given line integral,
|(-y,x – y) · dR, where C is the line segment
from (1,0) to (-1,0).
Your answer
3. Evaluate the given line integral,
Save
| (-y,x – y) R'(t) dt, where C is the curve in No. 1 and
C1+C2
C2 is the curve in No. 2.
Transcribed Image Text:1. Evaluate the given line integral, | (-y,x – y) · dR, where C is the upper part of x² + y? = 1 from (-1,0) to (1,0). Your answer 2. Evaluate the given line integral, |(-y,x – y) · dR, where C is the line segment from (1,0) to (-1,0). Your answer 3. Evaluate the given line integral, Save | (-y,x – y) R'(t) dt, where C is the curve in No. 1 and C1+C2 C2 is the curve in No. 2.
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