Exercise $3$ Writing Functions:

$1.$ Write a function, c$->$f$,$ that will convert celsius to fahrenheit. F $=(9/5)*$ C $+32.$

$2.$ Write $3$ functions, discrim, quad$+,$ and quad$-.$ Each function will have $3$ parameters:

a$,$ b and c that represent the coefficients of a quadratic equation: $=\backslash$pm $24$

$2$

discrim will be the part of the formula: b$2-4$ac$.$

Both quad$+$ and quad$-$ will use the discrim function.

$3.$ Write a function, quadrant, with $2$ parameters: x and y that represent coordinates of a point in a

Cartesian coordinate system $($x$,$y$).$ Determine which quadrant the point is located in and return

one of the following: I, II$,$ III, IV$,$ x$-$axis, y$-$axis or origin.

$4.$ Find the difference between the square of the sum and the sum of the squares of the

first N natural numbers.

$$ The square of the sum of the first ten natural numbers is

$(1+2+...+10)^2=55^2=3025.$

$$ The sum of the squares of the first ten natural numbers is

$1^2+2^2+...+10^2=385.$

$$ Hence the difference between the square of the sum of the first ten natural

numbers and the sum of the squares of the first ten natural numbers is $3025-$

$385=2640.$

Submit on Canvas, a Scheme $(.$ss$)$ or Racket $(.$rkt$)$ source file with Exercise $3$ functions.

Document each exercise with line comments.