Code the following in phython using sympy commands only please

2. For each of the following functions, find values a and b such that, on interval [a,b], the Intermediate Value Theorem holds, proving the function has at least one real root on that interval. Graph the function on the interval to visualize your result. Finally, use Python to find the root on the given interval. (a) f(x)=100ex/1000.01x2 (b) g(x)=arctan(x)+x1 (c) h(x)=ln(x)x+100x2 (Hint: Note the domain of this function)