daviddoji/CalculusWithJuliaNotes.jl
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use quarto, not Pluto to render pages

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jverzani
2022-07-24 16:38:24 -04:00
parent 93c993206a
commit 7b37ca828c
879 changed files with 793311 additions and 2678 deletions
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CwJ/derivatives/curve_sketching.jmd
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@@ -15,7 +15,7 @@ using Polynomials # some name clash with SymPy
```julia; echo=false; results="hidden"
using CalculusWithJulia.WeaveSupport
fig_size=(600, 400)
fig_size=(800, 600)
const frontmatter = (
title = "Curve Sketching",
description = "Calculus with Julia: Curve Sketching",
@@ -331,8 +331,8 @@ L"Just vertical asymptotes at $x=-1$ and $x=1$",
L"Vertical asymptotes at $x=-1$ and $x=1$ and a horizontal asymptote $y=1$",
L"Vertical asymptotes at $x=-1$ and $x=1$ and a slant asymptote"
]
ans = 4
radioq(choices, ans)
answ = 4
radioq(choices, answ)
```
###### Question
@@ -474,8 +474,8 @@ choices = [
"The exponential growth model",
"The limit does not exist",
"The limit is ``P_0``"]
ans = 1
radioq(choices, ans)
answ = 1
radioq(choices, answ)
```
##### Question
@@ -493,8 +493,8 @@ choices = [
"The function will have more curvature when the second derivative is large, so there needs to be more points to capture the shape",
"The function will be much larger (in absolute value) when the second derivative is large, so there needs to be more points to capture the shape",
]
ans = 2
radioq(choices, ans)
answ = 2
radioq(choices, answ)
```
##### Question
@@ -514,8 +514,8 @@ choices = [
"An informative graph only needs to show one or two periods, as others can be inferred.",
"An informative graph need only show a part of the period, as the rest can be inferred.",
L"An informative graph needs to show several periods, as that will allow proper computation for the $y$ axis range."]
ans = 1
radioq(choices, ans)
answ = 1
radioq(choices, answ)
```
Why should asymptotics matter?
@@ -526,8 +526,8 @@ L"A vertical asymptote can distory the $y$ range, so it is important to avoid to
L"A horizontal asymptote must be plotted from $-\infty$ to $\infty$",
"A slant asymptote must be plotted over a very wide domain so that it can be identified."
]
ans = 1
radioq(choices, ans)
answ = 1
radioq(choices, answ)
```
Monotonicity means increasing or decreasing. This is important for what reason?
@@ -538,6 +538,6 @@ choices = [
"For monotonic regions, a function is basically a straight line",
"For monotonic regions, the function will have a vertical asymptote, so the region should not be plotted"
]
ans = 1
radioq(choices, ans)
answ = 1
radioq(choices, answ)
```