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2. Consider the work integral (y- x²) dr + (1– x) dy. Consider the following two paths that start at (-1,1) and end at (3,9): • (-1+4t, 1+ 8t), 0

2. Consider the work integral (y- x²) dr + (1– x) dy. Consider the following two paths that start at (-1,1) and end at (3,9): • (-1+4t, 1+ 8t), 0

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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2. Consider the work integral (y – a?) da + (1 – x) dy. Consider the following two paths that start at (-1,1) and end at (3,9): (-1+ 4t, 1+ 8t), 0<t<1 (t, t2), –1 <t<3 (a) Along which path would the field do more work on the particle? (b) Why do the two paths produce a different amount of work? (c) A particle moves from (-1, 1) to (3,9) along the first path, and then from (3, 9) back to (-1,1)
Transcribed Image Text:2. Consider the work integral (y – a?) da + (1 – x) dy. Consider the following two paths that start at (-1,1) and end at (3,9): (-1+ 4t, 1+ 8t), 0<t<1 (t, t2), –1 <t<3 (a) Along which path would the field do more work on the particle? (b) Why do the two paths produce a different amount of work? (c) A particle moves from (-1, 1) to (3,9) along the first path, and then from (3, 9) back to (-1,1)
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