?A particle starts at the origin, moves along the \(x\)-axis to (5, 0), then along the

Chapter 14, Problem 22

(choose chapter or problem)

A particle starts at the origin, moves along the \(x\)-axis to (5, 0), then along the quarter-circle \(x^{2}+y^{2}=25, x>0, y \geqslant\) to the point (0, 5), and then down the \(y\)-axis back to the origin. Use Green's Theorem to find the work done on this particle by the force field \(F(x,y)=\left\langle\sin x,\ \sin y+xy^2+\frac{1}{3}x^3\right)\).

Equation Transcription:

 ⩾ 0,  ⩾ 0

 〈⟩

Text Transcription:

x

x^2 + y^2 = 25, x geq 0, y geq 0

y

F(x,y) = left angle sin x, sin y + xy^2 + frac{1}{3}x^3 right angle