Determine the work done by f on moving a particle

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1. Determine whether the force F(x, y) = (2 cosx - sinx) exp (2x + 3y) i + 3 exp(2x + 3y) cos xj is conservative and, if so, find its potential.

2. Determine the work done by F on moving a particle from the point (0, 0) to the point (π/3, 1/3) along the straight line connecting these points. Find the exact expression and evaluate it then up to two decimal places.

Reference no: EM131007309

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