Worksheet #$5$: Non$-$Linear Equations

Please submit the attached answer sheet to the instructor, and submit your final Excel workbook on the eCampus assignment page.

PART $1$: CODE DEVGLOPMENT

Write three custom subroutines in VBA to find the solution for the following non$-$linear equation using the Interval Halving. Secant, Newton's, and Newton's Second methods separately.

$-\frac{x^5}{5}+\frac{2x^3}{3}+\frac{5x^2}{6}-\frac{113}{105}x-1=0$

Also, use the debugger $($Debug$.$Print$)$ to output the number of iterations required for each method Hints: The right answer falls between $-1$ and $1.$

PART $2$: ANSUERS

$2.$ Write the appropriate derivative needed for Newton's method below. You are strongly encouraged to solve this derivative by hand $($rather than a web resource$).$

$3.$ Fill out the following answer table including the solution for the non$-$linear equation $(x),$ the guess x values and number of iterations required for each method.

$\backslash$table$[[$Method$,$X$,$Guesses,Iterations$],[$Interval Halving,,$\backslash$table$[[x1=$