Assignment 0: Finger Exercises

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1. Convert each of the following expressions into Scheme:
   1. 4 + 6 + 7

   2. 5 * (5 + 9)

   3. (4 + 9) * (8 - 7)

   4. ((a * a) + (b * b)) / 2

2. Convert the following function definitions into Scheme:
   1. square(x) = x * x

   2. avg(x, y) = (x + y) / 2

   3. celc->fahr(deg) = 9/5 * deg + 32

3. Evaluate each of the following expressions. Show every step. For example:

     (sqrt (+ (* 3 3) (* 4 4)))
   = (sqrt (+ 9 (* 4 4)))
   = (sqrt (+ 9 16))
   = (sqrt 25)
   = 5
   

   1. (- (* 3 5) 20)

   2. (/ 44 (+ 8 3))

   3. (sqrt (square 6))

   4. (avg 6 10)

   5. (celc->fahr 100)