May the force (field) be with you
Calculus
Level
3
What is the amount of work done by the particle moving in the force field \(F(x,y) = x^2\ \mathbf{i} + xy\ \mathbf{j}\) along the quartile circle \(r(t) = \cos t\ \mathbf{i} + \sin t\ \mathbf{j}\) from \( t=0 \) to \( t = \frac{ \pi}{2} \)?
Details and assumptions
Work done can be calculated using the formula \( W = \int_C F\cdot dr\).
by
Calvin Lin