(*Example HOMEWORK for PHY 711
8/28/(Subscript[2023, (Subscript[(Subscript[\[Placeholder], \[Placeholder]]), \[Placeholder]])]) Natalie Holzwarth
Problem Set 0
The purpose of this problem set is to become familiar with the use of Maple, Mathematica, or Wolfram Alpha as a tool for analyzing mathematically complex problems. Choose one of the tools to
visualize and solve the following problems.
1. Numerically find the values of x which satisfy the following equation.      x^3-x^2=7.  Use graphics to help visualize the problem.                            2. g(x)=int_0^x (exp(-s^2).   Use graphics to help you vistualize the integrand and the integral.*)

Plot[{x^3-x^2,7},{x,-1,3}]

NSolve[x^3-x^2==7,x]

Integrate[Exp[-s^2],{s,0,x}]

Plot[{Exp[-u^2],(1/2)*Sqrt[Pi]*Erf[u]},{u,0,5}]