Question: (a) Plot the function f(x)=e0.1x+x3+0.5x410 in MATLAB. Set the interval on the x-axis with limits 4 and +3. (5 points) (b) Apply the Newton-Raphson method

(a) Plot the function f(x)=e0.1x+x3+0.5x410 in MATLAB. Set the interval on

(a) Plot the function f(x)=e0.1x+x3+0.5x410 in MATLAB. Set the interval on the x-axis with limits 4 and +3. (5 points) (b) Apply the Newton-Raphson method to find two roots of f(x) in the interval (4,3) subject to the error tolerance 0.01%. Complete both tables below to show the relevant numerical results. (10 points) Hint: Choose the initial guesses properly according to the plot of f(x) in (a). Data table: Root-seeking sequences using Newton's method (first root) Data table: Root-seeking sequences using Newton's method (second root) Hint Formula for tolerance error % calculation: =xn1xnxn1100%,providedxn1=0

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