Chapter 17.2, Problem 60E

Flux Consider the vector fields and curves in Exercises 57–58.

a. Based on the picture, make a conjecture about whether the outward flux of F across C is positive, negative, or zero.

b. Compute the flux for the vector fields and curves.

60. F and C given in Exercise 58

58. $F=\frac{\langle y,-2x\rangle }{\sqrt{4x^2+y^2}};$ C : $r(t)=\langle 2\cos t,4\sin t\rangle ,$ for 0 ≤ t ≤ 2π