Write a MATLAB program to evaluate the function $()=11-$ for any user specified value of x$,$ where ln is the natural logarithm. Write the program with a while loop, so that the program repeats the calculation for each legal value of x entered into the program. When an illegal value of x is entered, terminate the program. $($Any $>=1$ is considered illegal value.$)(50$ Points$)$ The harmonic mean is yet another way of calculating a mean for a set of numbers. The harmonic mean of a set of numbers is given by the equation: h$=1!+1"++1$#

y$($x$)=$ln$((1)/(1-$x$))$

for any user specified value of x$,$ where ln is the natural logarithm. Write the program with a

while loop, so that the program repeats the calculation for each legal value of x entered into

the program. When an illegal value of xx$>=1$ is

considered illegal value. harmonic mean $=($N$)/((1)/($x$\_(1))+(1)/($x$\_(2))+$cdots$+(1)/($x$\_($n$)))$

Write a MATLAB program that will read in any arbitrary number of positive input values and

calculate the harmonic mean of the numbers. Use any method that you desire to read the input

values. Test your program by calculating the harmonic mean of the four numbers $10,5,2,$ and