EGM $3311$ Analysis of Engineering Systems

Homework #$1(20$ points$)$

Due on July $2,2024$

Late homework return will result in $20\%$ penalty per day.

Find the root of the equation $e^{-x^2}+sin(x)=0$ using Newton$-$Raphson algorithm. Perform two iterations from starting point $x_0=-1.$ Estimate the error. $(7$ grading points$)$

Find the root of the equation $e^{-x^2}+sin(x)=0$ using bisection algorithm. Perform two iterations using starting interval $a=-1,b=0.$ Estimate the error. $(7$ grading points$)$