1. Provide the slope fields for the following first order differential equations and sketch the solution through the requested initial condition. Use a graphing utility (Desmos or Geogebra). dy = exy through (0,0) dy xy through (-2,2) dx dx2. (Gabriel's Horn) We'll be looking at a common paradox that can only be solved with improper integrals. Consider the function /(x) = = Find the volume of the shape modeled by f(x) over the interval [1,co] revolved about the x-axis b. Use a graphing utility to find the surface area of the shape modeled by f(x) over the interval [1. so] revolved about the x-axis Make sure to provide the proper set up of the integral required to find the surface area of this shape Use your answer from lund tol to state the paradox Gabriel's