CSCI 360 - Survey of Programming Languages

Fall 2014

Write Racket functions to do the following. Each solution should employ one of map, foldl, foldr, filter, or unfold/build-list:
- Given a list of numbers, return a list with each number multiplied by a constant:
```
> (mult-by 4 '(5 2 3 8))
'(20 8 12 32)
```
- Given a list, return a list of even numbers only.
```
> (even-only '(1 2 3 4 5 6))
'(2 4 6)
```
- Given a list of numbers, return the product.
```
> (product '(5 7 10))
350
```
- Create a list of multiples of x.
```
> (multiples-of 3 5)
'(15 12 9 6 3)
```
- Given a list of numbers, return the smallest value.
```
> (smallest '(5 2 20 -1 6))
-1
```
- Given a list of numbers, return the reciprocals. Skip zero if present.
```
> (reciprocals '(4 3 1 0 8))
'(1/4 1/3 1 1/8)
```
Implement merge-sort using the merge function from the previous assignment.
```
> (merge-sort '(1 3 6 2 4 9 10))
'(1 2 3 4 6 9 10)
```