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Tropical typos
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Mark
2025-01-25 09:41:12 -08:00
committed by Mark
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commit 0734b4b8a9
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src/Advanced/Tropical Polynomials/parts/02 cubic.typ
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@ -5,7 +5,7 @@
= Tropical Cubic Polynomials
#problem()
Consider the polynomial $f(x) = x^3 #tp x^2 #tp 3x #tp 6$. \
Consider the polynomial $f(x) = x^3 #tp 1x^2 #tp 3x #tp 6$. \
- sketch a graph of this polynomial
- use this graph to find the roots of $f$
- write (and expand) a product of linear factors with the same graph as $f$.
@ -43,7 +43,7 @@ Consider the polynomial $f(x) = x^3 #tp x^2 #tp 3x #tp 6$. \
#pagebreak() // MARK: page
#problem()
Consider the polynomial $f(x) = x^3 #tp x^2 #tp 6x #tp 6$. \
Consider the polynomial $f(x) = x^3 #tp 1x^2 #tp 6x #tp 6$. \
- sketch a graph of this polynomial
- use this graph to find the roots of $f$
- write (and expand) a product of linear factors with the same graph as $f$.
@ -118,10 +118,10 @@ Using the last three problems, find formulas for $B$ and $C$ in terms of $a$, $b
#solution([
$
B = min(b, (a+c)/2, (2a+d)/2)
B = min(b, (a+c)/2, (2a+d)/3)
$
$
C = min(c, (b+d)/2, (a+2d)/2)
C = min(c, (b+d)/2, (a+2d)/3)
$
])