$7.$ Create a vector x with the elements,

xn $=$

$(1)$

$+1$

$2$n$1$

$,$ where n$=\{1,2,3,...,100\}$

Then, add up the elements of the version of this vector that has $100$ elements.

$2$

$8.$ Make multi plots for the following two functions in one figure as shown below. Do not forget to add

the axis labels, a title, and grid.

f$1($x$)=$ sin$(1/$x$)$ for $0\mathrm{.}01<$ x $<0\mathrm{.}1.$

f$2($x$)=$ cos$(1/$x$)$ for $0\mathrm{.}01<$ x $<0\mathrm{.}1.$

$[$Code Hint$]$:

figure

subplot$(2,2,1)$;

$$ Add your code for plotting the sin$(1/$x$)$ function

subplot$(2,2,2)$;

$$ Add your code for plotting the cos$(1/$x$)$ function

subplot$(2,2,3$:$4)$;

$$ Add your code for plotting the two functions together $($use $$hold on$)$

$9.$ Create your own function that returns the inverse of your inputs.

For example, if your input vector, r$,$ is equal to $[3,4,5].$ The output of your function must be $[1/31/4$

$1/5].$

Example:

$>>$ r $=[345]$ ;

$>>$ b $=$ your$\_$function$\_$name$($r$)$;

$>>$ b

b$=$

$0\mathrm{.}33330\mathrm{.}250\mathrm{.}2$

$10.$ Given the vector x $=[1,8,3,9,0,1],$ using for loop create a short set of commands that will

Add up the values of the elements.

$11.$ Create a $4-$by$-7$ array of random numbers $($use rand$).$ Move through the array, element by element,

and set any value that is less than $-0\mathrm{.}2$ to $0$ and any value that is greater than $($or equal to$)0\mathrm{.}2$ to $1.$

$12.$ Given x $=[4,1,6]$ and y $=[6,2,7],$ compute the following arrays

a$)$ dij $=$ xi$/(2+$ xi $+$ yj$)$

b$)$ eij $=$ reciprocal of the lesser of xi and yj

$13.$ Write a script that asks for a temperature $($in degrees Fahrenheit$)$ and computes the equivalent

temperature in degrees Celsius. The script should keep running until no number is provided to convert.

$[$Note: the function isempty will be useful here.