Aside from manipulating and analyzing data, MATLAB's built$-$in functions can also be useful for solving equations. Take the following equation as an example:

$f(x)=\frac{\sqrt[3]{x}}{x!}-e^{|sin(x)|}$

a$)$ Define an array $x$ with values from $1$ to $20$ in increments of $1.$

b$)$ Calculate the values of $f(x)$ for all values in array $x$ and assign the results to $Y.$

i$)$ Use built$-$in functions to calculate $f(x).$

ii$)$ "Hint: search "power" in doc$*$

c$)$ Find the minimum, maximum, and mean values of array $Y.$ Assign these values to $Y_{-}$min, $Y_{-}$max, and $Y_{{?}_{}}$ avg respectively.

i$)$ Before assigning those values to their respective variable, use a built$-$in function to turn $Y_{-}$min, $Y_{-}$max, and $Y_{-}$avg into fractions.

d$)$ Round all values from $Y$ to the nearest integer toward zero. Assign these values to Y$\_$round.

e$)$ Find out whether any values inside the array $Y_{-}$round are prime numbers after taking the absolute value of it$.$

i$)$ How many are there? Write the amount as a comment.

Please submit one $m-$file for this assignment. The solutions to both problems should be in the same $m-$file,