Ggiven a variable magnetic field b(r, t) = ηt4/s3ˆz [in cylindrical coordinates (s, φ, z)] where η is a constant, use ∇ × e = −∂b/∂t and ∇ · e = 0 directly to find e(r, t) in regions where the electron charge density rhoe = 0. assume that e is independent of z and φ with the boundary conditions es(s =

20 points 1. your friend, taylor, missed class today and needs some identifying solutions to systems. explain to taylor how to find the solution(s) of any system using its graph. 2. taylor graphs the system below on her graphing calculator and decides that f(x)=g(x) at x=0, x=1, and x=3. provide taylor some feedback that explains which part of her answer is incorrect and why it is incorrect. f(x)=2x+1 g(x)=2x^2+1