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Find the work done by the force field $ \textbf{F}(x, y) = x^2 \, \textbf{i} + ye^x \, \textbf{j} $ on a particle that moves along the parabola $ x = y^2 + 1 $ from $ (1, 0) $ to $ (2, 1) $.

Work done $$=\frac{7}{3}+\frac{e^{2}-e}{2}$$

Vector Calculus

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Johns Hopkins University

Harvey Mudd College

Baylor University

University of Nottingham

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