Math Problem Statement
Find the workdone by the force
F⃗ =xyi^+(y−x)j^F→=xyi^+(y−x)j^
over the straight line from
(1,1)(1,1)
to
(2,3).
Solution
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Math Problem Analysis
Mathematical Concepts
Vector Calculus
Line Integrals
Parametric Equations
Formulas
Work done W = ∫C F⃗ · d⃗r
Parameterization of a line: x(t) = 1 + t, y(t) = 1 + 2t
Theorems
Fundamental Theorem of Line Integrals
Suitable Grade Level
Undergraduate Level (Calculus III)
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