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3. Find the work done by the vector field F(x, y, z) = (y + e², x + 1, xe²) on a particle travelling along the curve (shown on right) parametrized by o(t) =< sin(t) cos(t³), cos(t) sin(t³), t > with π/2 ≤ t ≤ π/2. (Hint: Find a potential funciton for F.)

3. Find the work done by the vector field F(x, y, z) = (y + e², x + 1, xe²) on a particle travelling along the curve (shown on right) parametrized by o(t) =< sin(t) cos(t³), cos(t) sin(t³), t > with π/2 ≤ t ≤ π/2. (Hint: Find a potential funciton for F.)

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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13. Find the work done by the vector field F(x, y, z) = (y + e², x + 1, xe²) on a particle travelling along the curve (shown on right) parametrized by o(t) =< sin(t) cos(t³), cos(t) sin(t³), t > with π/2 ≤ t ≤ π/2. (Hint: Find a potential funciton for F.) опло
Transcribed Image Text:13. Find the work done by the vector field F(x, y, z) = (y + e², x + 1, xe²) on a particle travelling along the curve (shown on right) parametrized by o(t) =< sin(t) cos(t³), cos(t) sin(t³), t > with π/2 ≤ t ≤ π/2. (Hint: Find a potential funciton for F.) опло
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