1.i) Show that f(x)=e^x-3x^2 has a root between x=3.7 and x= 3.8
ii) Starting with x=3.8, use one application of Newtons method to find a better approximation for this root.
2.The function f(x)=sinx-2x/3 has a zero near x=1.5. Taking x=1.5 as a first approximation, use one application of...