daviddoji/CalculusWithJuliaNotes.jl
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jverzani
2024-05-22 07:55:20 -04:00
parent f710cded15
commit 771bb06aa3
50 changed files with 120 additions and 426 deletions
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quarto/limits/limits.qmd
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@@ -235,7 +235,7 @@ annotate!([(0,0+Δ,"A"), (x-Δ,y+Δ/4, "B"), (1+Δ/2,y/x, "C"),
annotate!([(.2*cos(θ/2), 0.2*sin(θ/2), "θ")])
imgfile = tempname() * ".png"
savefig(p, imgfile)
caption = "Triangle ABD has less area than the shaded wedge, which has less area than triangle ACD. Their respective areas are ``(1/2)\\sin(\\theta)``, ``(1/2)\\theta``, and ``(1/2)\\tan(\\theta)``. The inequality used to show ``\\sin(x)/x`` is bounded below by ``\\cos(x)`` and above by ``1`` comes from a division by ``(1/2) \\sin(x)`` and taking reciprocals.
caption = "Triangle ``ABD` has less area than the shaded wedge, which has less area than triangle ``ACD``. Their respective areas are ``(1/2)\\sin(\\theta)``, ``(1/2)\\theta``, and ``(1/2)\\tan(\\theta)``. The inequality used to show ``\\sin(x)/x`` is bounded below by ``\\cos(x)`` and above by ``1`` comes from a division by ``(1/2) \\sin(x)`` and taking reciprocals.
"
ImageFile(imgfile, caption)
```
@@ -1666,7 +1666,7 @@ Should `SymPy` have needed an assumption like
```{julia}
@syms a::postive
@syms a::positive
```
```{julia}