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9 changes: 5 additions & 4 deletions project.ptx
Original file line number Diff line number Diff line change
@@ -1,17 +1,18 @@
<?xml version="1.0" encoding="utf-8"?>
<project ptx-version="2">
<targets>
<target name="html2e" format="html" xsl="acs-html.xsl" publication="publication_ed2.ptx" />
<target name="html1e" format="html" xsl="acs-html.xsl" publication="publication.ptx" />
<target name="latex" format="latex" xsl="acs-latex.xsl" />
<target name="pdf" format="pdf" xsl="acs-latex.xsl" latex-engine="xelatex" />
<target
name="proteus"
format="html"
source="main.ptx"
xsl="acs-html.xsl"
publication="publication-proteus.ptx"
platform="runestone" />
<target name="html2e" format="html" xsl="acs-html.xsl" publication="publication_ed2.ptx" />
<target name="html1e" format="html" xsl="acs-html.xsl" publication="publication.ptx" />
<target name="latex" format="latex" xsl="acs-latex.xsl" />
<target name="pdf" format="pdf" xsl="acs-latex.xsl" latex-engine="xelatex" />

<target
name="runestone"
format="html"
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2 changes: 1 addition & 1 deletion source/proteus/proteus-2-5.xml
Original file line number Diff line number Diff line change
Expand Up @@ -27,7 +27,7 @@
<matches>
<match>
<premise order="1"><m>g(x) = \dfrac{\sin(x)}{e^x}</m></premise>
<response>the quotient of <m>e^x</m> and <m>\sin(x)</m></response>
<response>the quotient of <m>\sin(x)</m> and <m>e^x</m></response> <!-- numerator denominator? -->
</match>
<match>
<premise order="4"><m>h(x) = \sin(e^x)</m></premise>
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24 changes: 0 additions & 24 deletions source/proteus/proteus-3-1.xml
Original file line number Diff line number Diff line change
Expand Up @@ -34,28 +34,4 @@
</cardsort>
</exercise>

<exercise component="proteus" label="proteus-derivs-matching" xml:id="proteus-derivs-matching" attachment="yes">
<statement>
<p>
In this section we'll learn about things called the First Derivative Test and the Second Derivative Test. It will be helpful before we begin to remind ourselves of a few facts about the relationship between a function and its first and second derivatives.
</p>
<p>
Match each of the cards on the left with every applicable property on the right.
</p>
</statement>
<matching>
<premise ref="cu prime-inc"><m>f''(x) \gt 0</m></premise>
<premise ref="cd prime-dec"><m>f''(x) \lt 0</m></premise>
<premise ref="inc"><m>f'(x) \gt 0</m></premise>
<premise ref="dec"><m>f'(x) \lt 0</m></premise>
<!-- -->
<response xml:id="inc"><m>f(x)</m> increasing</response>
<response xml:id="dec"><m>f(x)</m> decreasing</response>
<response xml:id="cd"><m>f(x)</m> concave down</response>
<response xml:id="prime-dec"><m>f'(x)</m> decreasing</response>
<response xml:id="cu"><m>f(x)</m> concave up</response>
<response xml:id="prime-inc"><m>f'(x)</m> increasing</response>
</matching>
</exercise>

</exercises>
17 changes: 11 additions & 6 deletions source/proteus/proteus-3-2.xml
Original file line number Diff line number Diff line change
Expand Up @@ -6,25 +6,30 @@
<exercise component="proteus" label="proteus-graphs-and-parameters" xml:id="proteus-graphs-and-parameters" attachment="yes">
<statement>
<p>
Open a browser and point it to <url href="https://www.desmos.com/calculator"><em>Desmos</em></url>. Choose any function you like, perhaps <m>\ln(x)</m> or <m>\sqrt{x}</m> or <m>\tan(x)</m>. In <em>Desmos</em>, enter <c>f(x)=</c> your chosen function.
In the <em>Desmos</em> window below, there is a graph of a function that you can experiment with:
</p>
<p>
In each of the parts of this activity, we'll create a new function related to <m>f(x)</m> by applying a <em>parameter</em>, which we can control with a slider. Explore with the sliders and describe how changing the value of the parameter with the slider affects the graph of the new function. Pay particular attention to the location of any critical points or inflection points.
</p>
<interactive desmos="6ax4lofe7z" width="74%" aspect="2:3" />
</p>
<ol>
<li>
<p>
In <em>Desmos</em>, enter <c>g(x) = a f(x)</c>. Explore the effect of the value of <m>a</m>.
Estimate the location of the relative minimum.
</p>
</li>
<li>
<p>
Estimate the location of the inflection point.
</p>
</li>
<li>
<p>
In <em>Desmos</em>, enter <c>h(x) = f(b x)</c>. Explore the effect of the value of <m>b</m>.
Play with the slider for <m>a</m>. What happens to the location of the relative minimum? of the inflection point?
</p>
</li>
<li>
<p>
In <em>Desmos</em>, enter <c>k(x) = f(x) + c</c>. Explore the effect of the value of <m>c</m>.
Play with the slider for <m>b</m>. What happens to the location of the relative minimum? of the inflection point?
</p>
</li>
</ol>
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8 changes: 4 additions & 4 deletions source/proteus/proteus-3-4.xml
Original file line number Diff line number Diff line change
Expand Up @@ -5,7 +5,7 @@

<exercise component="proteus" label="proteus-rectangular-field" xml:id="proteus-rectangular-field" attachment="yes">
<p>
Suppose you are building a fence around a rectangular field, and the field needs to have an area of 9000 square meters. There are many different shapes of rectangles you could consider.
Suppose you are building a fence around a rectangular field, and the field needs to have an area of 9000 square meters. There are many rectangles of different dimensions that you could consider.
</p>
<p>
<ol>
Expand All @@ -16,17 +16,17 @@
</li>
<li>
<p>
Another option you have considered is to make the field more like the shape of a piece of notebook paper. Draw a picture of what the field would look like in this case; remember, it still needs to have an area of 9000 square meters.
Another option you have considered is to make the field look like a piece of notebook paper. Draw a picture of what the field would look like in this case, labeling the measurements of your shape. Remember, the field still needs to have an area of 9000 square meters.
</p>
</li>
<li>
<p>
Draw at least one more picture of a rectangular field that is a different shape than what you’ve drawn before and would still have an area of 9000 square meters.
Draw at least one more picture of a rectangular field that is different than what you’ve drawn before and would still have an area of 9000 square meters.
</p>
</li>
<li>
<p>
Which measurements of your three fields are different? Which measurements of your three fields are the same?
Which measurements are different among your three fields? Which measurements are the same?
</p>
</li>
<li>
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4 changes: 2 additions & 2 deletions source/proteus/proteus-3-5.xml
Original file line number Diff line number Diff line change
Expand Up @@ -16,12 +16,12 @@
</li>
<li>
<p>
Draw three different pictures of the water in the water tank at three different times: at 2am, at 8am, and at 12pm.
Draw what you imagine the water in the tanks would look like at 2am, at 8am, and at 11am.
</p>
</li>
<li>
<p>
Which measurements of the amount of water are different in your different pictures? Which measurements are the same?
Which measurements of the water are different among your different pictures? Which measurements are the same?
</p>
</li>
<li>
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