4. A) Find the work done by the force F (x, y) = yx²i – y²j over the curve r (t) = t’i+t*j, 0
4. A) Find the work done by the force F (x, y) = yx²i – y²j over the curve r (t) = t’i+t*j, 0
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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![4. A)
Find the work done by the force F (x, y) = ya²i – y²j over the curve
r (t) = ti+t*j, 0<t<1.
B) Evaluate the line integral
F-dr,
where F (x, y) = 2.ry²i + 2x²yj and C is a smooth curve from (1,1) to (4, 4) .](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd1b3bd1-3616-4d21-ac59-5144d594ad2b%2Fe74441e9-e0f3-4998-9ec3-403780374390%2Fl1y1ugn_processed.png&w=3840&q=75)
Transcribed Image Text:4. A)
Find the work done by the force F (x, y) = ya²i – y²j over the curve
r (t) = ti+t*j, 0<t<1.
B) Evaluate the line integral
F-dr,
where F (x, y) = 2.ry²i + 2x²yj and C is a smooth curve from (1,1) to (4, 4) .
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