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Chapter 7: 2,3,4,5,7
(Note: for #5, do not use [login to view URL] or write your own power function – see hint below; 7 requires knowing 6, which can be found in Chapter 12; do not use features we haven’t covered yet, like [login to view URL] and let rec).
Hint for #5: Any polynomial can be rewritten by factoring x out of each term as follows:
3x^3-7x^2+5x-3=-3+x\left(5+x\left(-7+x\left(3\right)\right)\right)
3
x
3
7
x
2
5
x
3
3
x
5
x
7
x
3
Extra Problem for Chapter 7:
A: What does the following function, g, do?
fun g stuff =
let
fun f (nil,y) = [y]
| f (x::rest,y) = f (rest,y) @ f (rest,x::y)
in
f (stuff,nil)
end;
Chapter 8: 3, 5, 6ab
[login to view URL] do it as student not prof.
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