daviddoji/CalculusWithJuliaNotes.jl
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jverzani
2025-07-29 17:11:34 -04:00
parent 50cb645452
commit 8398f21b87
6 changed files with 9 additions and 9 deletions
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6
quarto/integrals/volumes_slice.qmd
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@@ -493,7 +493,7 @@ plt = let
gr()
# Follow lead of # https://github.com/SigurdAngenent/WisconsinCalculus/blob/master/figures/221/09surf_of_rotation2.py
# plot surface of revolution around x axis between [0, 3]
# best if r(t) descreases
# best if r(t) decreases
rad(x) = 2/(1 + exp(x))
trange = (0, 3)
@@ -585,7 +585,7 @@ plotly()
nothing
```
Modification of earlier figure to show washer method. The interior volumn would be given by $\int_a^b \pi r(x)^2 dx$, the entire volume by $\int_a^b \pi R(x)^2 dx$. The difference then is the volume computed by the washer method.
Modification of earlier figure to show washer method. The interior volume would be given by $\int_a^b \pi r(x)^2 dx$, the entire volume by $\int_a^b \pi R(x)^2 dx$. The difference then is the volume computed by the washer method.
:::
@@ -883,7 +883,7 @@ Consider a sphere with an interior cylinder bored out of it. (The [Napkin](http
plt = let
# Follow lead of # https://github.com/SigurdAngenent/WisconsinCalculus/blob/master/figures/221/09surf_of_rotation2.py
# plot surface of revolution around x axis between [0, 3]
# best if r(t) descreases
# best if r(t) decreases
rad(t) = (t = clamp(t, -1, 1); sqrt(1 - t^2))
rad2(t) = 1/2