Let f be a continuous real-valued function on R3. Suppose that for every sphere S of radius 1, the integral of f(x, y, z) over the surface of S equals 0. Must f(x, y, z) = 0 for all points (x, y, z)?

  • acealeam [he/him]
    ·
    4 years ago

    this sounds like a conservative vector field problem so im gonna say no ?