Question $1-$ Consider the function $f=x^6-x-1.$ Find the root using Newton's method and for loop in MATLAB. Use initial guess $x=2.$

Question $2-$ Repeat Question $1$ using while loop and error tolerance $1{10}^{-5}.$

Question $3-$ Repeat Question $1$ using for loop in MATLAB and $20$ iterations.

Question $4-$ Take any random vector with $7$ elements. Use while loop in MATLAB to find the sum of elements in the vector.

Question $5-$ Repeat Question $4$ using for loop in MATLAB.