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A) Find the work done by the force F (r, y) = ryři – rj over the r(t) = ti+f*j, 0st<1. B) Evaluate the line integral -dr. where F (r, y) = 2ry²i + 2r²yj and C is the part of the curve y = r² from (1, 1) to (2, 4). (Hint: Consider the conservative vector fields)

A) Find the work done by the force F (r, y) = ryři – rj over the r(t) = ti+f*j, 0st<1. B) Evaluate the line integral -dr. where F (r, y) = 2ry²i + 2r²yj and C is the part of the curve y = r² from (1, 1) to (2, 4). (Hint: Consider the conservative vector fields)

Advanced Engineering Mathematics
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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A) Find the work done by the force F (x, y) = xy²i – x²j over the r (t) = t³i+t²j, 0<t<1. B) Evaluate the line integral F•dr, C where F (x, y) = 2.xy²i + 2x²yj and C is the part of the curve y = x² from (1,1) to (2,4). (Hint: Consider the conservative vector fields)
Transcribed Image Text:A) Find the work done by the force F (x, y) = xy²i – x²j over the r (t) = t³i+t²j, 0<t<1. B) Evaluate the line integral F•dr, C where F (x, y) = 2.xy²i + 2x²yj and C is the part of the curve y = x² from (1,1) to (2,4). (Hint: Consider the conservative vector fields)
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