Complete the following problems using MATLAB to solve them. Submit your codes as an m$-$file or mlx file according to the homework requirements. Use logical function $"$if$"$ and logical operators such as $>$ or $>=$ as appropriate to check if the given parameters in one unit or the other before applying suitable conversion.

$1.)$ Given an angle in degrees or radians, determine the angle in the other units and the quadrant of the angle. Find the values for $=905,145,$ and $17$ radians.

$2.)$ Given a distance in feet or miles, calculate the distance in the other unit. Find how many miles are in $11,205ft$ and how many feet are in $248\mathrm{.}6$ miles.

$3.)$ Given mass in kilograms or slugs, calculate the other. Convert $82kg$ into slugs and $1$slug into kilograms.

$4.)$ Create a user defined function called $g$ that satisfies the following criteria:

For

For $x-$ and $x,g(x)=cos(x)$

For $x>,g(x)=-1$

Plot your results for values of $x$ from $-2$ to $+2.$ Choose your spacing to create a smooth curve.

$5.$ Create a program that first prompts the user to enter a value for $x$ and then prompts the user to enter a value for $y.$ If the value of $x$ is greater than the value of $y,$ send a message to the command window telling the user that $x>y.$ If $x$ is less than or equal to $y,$ send a message to the command window telling the user that $yx.$