2022 Review 1

1. Multiply all of the coordinates by 5.

    m5: (Listof Posn) -> (Listof Posn)
   

2. Draw a bunch of radius 15 circles on a 400x300 empty scene.

    draw-circles: (Listof Posn) (Listof Color) -> Image
   

3. Sum the absolute value of the difference of the x and y coordinates of the posns in the list.

    sumdif: (Listof Posn) -> Number
   

4. Remove all of the zeros from a list.

    packer: (Listof Number) -> (Listof Number)
   

5. (Beware, harder.) Move all of the numbers <= 5 to the end of the list.

    mover: (Listof Number) -> (Listof Number)
   

6. Change the sign of every even number to its opposite.

    eneg: (Listof Number) -> (Listof Number)
   

7. Compute this mathematical sum.

    zeta: Number -> Number
   

   $$ \frac{1}{1^w} + \frac{1}{2^w} + \frac{1}{3^w} + \cdots + \frac{1}{1000^w} $$