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<div><font size="4" face="times new roman, times, serif"><i>La caja de un camión transportador de granos está siendo llenada con el grano proveniente de un silo a razón de <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#a«/mi»«mfrac»«mrow»«mi»#me«/mi»«/mrow»«mi»#tiempo«/mi»«/mfrac»«/math»</span> .</i></font></div> <div><i style="font-family: 'times new roman',times,serif; font-size: large;">El grano forma un cono circular recto, cuya altura es constantemente igual a <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#b«/mi»«/math»</span> del radio <span style="text-align: right;">de la bas</span><span style="text-align: right;">e.</span></i></div> <div><font size="4" face="times new roman, times, serif"><i><br /></i></font></div> <div style="text-align: center;"><img border="0" width="397" vspace="0" hspace="0" height="193" title="Arena" alt="Arena" src="http://www.elearning.jmc.usm.cl/file.php/1/RA7_3.3.png" /><br /></div> <div><br /></div> <div><font size="4" face="times new roman, times, serif"><i><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#pregunta«/mi»«/math»</span></i></font></div>
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<div><font size="4" face="times new roman, times, serif"><i>Solución:<br /><br /> <font><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#enunciado1«/mi»«/math»</span></font></i></font></div> <div><font size="4" face="times new roman, times, serif"><i><br /></i></font></div> <div><font size="4" face="times new roman, times, serif"><i><br /></i></font></div> <div style="text-align: center;"><font size="4" face="times new roman, times, serif"><i><img border="0" width="243" vspace="0" hspace="0" height="197" 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" alt="triangulo" title="triangulo" /> </i></font></div> <div style="text-align: justify;"><font size="4" face="times new roman, times, serif"><i>El volumen del cono formado por la arena en un instante <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»t«/mi»«/math»</span>, viene dado por:</i></font></div> <div style="text-align: center;"><font size="4" face="times new roman, times, serif"><i><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»V«/mi»«mo»=«/mo»«mfrac»«mn»1«/mn»«mn»3«/mn»«/mfrac»«mi»§#960;«/mi»«msup»«mi»R«/mi»«mn»2«/mn»«/msup»«mi»h«/mi»«/math»</span><br /></i></font></div> <div style="text-align: left;"><font size="4" face="times new roman, times, serif"><i>Como <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»h«/mi»«mo»=«/mo»«mi»#b«/mi»«/math»</span><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»R«/mi»«mo»§#8658;«/mo»«mi»R«/mi»«mo»=«/mo»«mi»#c«/mi»«/math»</span><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»h«/mi»«/math»</span> </i></font></div> <div style="text-align: justify;"><font size="4" face="times new roman, times, serif"><i>En consecuencia:</i></font></div> <div style="text-align: center;"><font size="4" face="times new roman, times, serif"><i><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»V«/mi»«mo»(«/mo»«mi»t«/mi»«mo»)«/mo»«mo»=«/mo»«mi»#e«/mi»«mi»§#960;«/mi»«msup»«mi»h«/mi»«mn»3«/mn»«/msup»«/math»</span> (1) con <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»h«/mi»«mo»=«/mo»«mi»h«/mi»«mo»(«/mo»«mi»t«/mi»«mo»)«/mo»«/math»</span><br /></i></font></div> <div style="text-align: center;"><font size="4" face="times new roman, times, serif"><i>Derivando la expresión (1) respecto a <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»t«/mi»«/math»</span> y buscando <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfrac»«mrow»«mi»d«/mi»«mi»h«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«/math»</span> obtenemos:</i></font></div> <div style="text-align: center;"><font size="4" face="times new roman, times, serif"><i><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfrac»«mrow»«mi»d«/mi»«mi»V«/mi»«mo»(«/mo»«mi»t«/mi»«mo»)«/mo»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mi»#f«/mi»«mi»§#960;«/mi»«msup»«mi»h«/mi»«mn»2«/mn»«/msup»«mfrac»«mrow»«mi»d«/mi»«mi»h«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«/math»</span> (2)</i></font></div> <div style="text-align: center;"><font size="4" face="times new roman, times, serif"><i><br /></i></font></div> <div style="text-align: justify;"><font size="4" face="times new roman, times, serif"><i>Sabemos que <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfrac»«mrow»«mi»d«/mi»«mi»V«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mi»#a«/mi»«mfrac»«mrow»«mi»#me«/mi»«/mrow»«mi»#tiempo«/mi»«/mfrac»«/math»</span> y <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»h«/mi»«mo»=«/mo»«mi»#d«/mi»«mi»#m1«/mi»«/math»</span> sustituyendo en (2):</i></font></div> <div style="text-align: center;"><font size="4" face="times new roman, times, serif"><i><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#a«/mi»«mfrac»«mrow»«mi»#me«/mi»«/mrow»«mi»#tiempo«/mi»«/mfrac»«mo»=«/mo»«mi»#f«/mi»«mi»§#960;«/mi»«msup»«mfenced»«mrow»«mi»#d«/mi»«mi»#m1«/mi»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mfrac»«mrow»«mi»d«/mi»«mi»h«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«/math»</span><span style="text-align: center;"> </span></i></font></div> <div style="text-align: center;"><font size="4" face="times new roman, times, serif"><i><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#a«/mi»«mfrac»«mrow»«mi»#me«/mi»«/mrow»«mi»#tiempo«/mi»«/mfrac»«mo»=«/mo»«mi»#f«/mi»«mi»§#960;«/mi»«mi»#g«/mi»«msup»«mi»#m1«/mi»«mn»2«/mn»«/msup»«mfrac»«mrow»«mi»d«/mi»«mi»h«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«/math»</span> </i></font></div> <div style="text-align: center;"><font size="4" face="times new roman, times, serif"><i><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#a«/mi»«mfrac»«mrow»«mi»#me«/mi»«/mrow»«mi»#tiempo«/mi»«/mfrac»«mo»=«/mo»«mi»#h1«/mi»«mi»§#960;«/mi»«msup»«mi»#m1«/mi»«mn»2«/mn»«/msup»«mfrac»«mrow»«mi»d«/mi»«mi»h«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«/math»</span> </i></font></div> <div style="text-align: center;"><font size="4" face="times new roman, times, serif"><i><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#i«/mi»«mo»·«/mo»«mi»#a«/mi»«mo»·«/mo»«mfrac»«mn»1«/mn»«mi»§#960;«/mi»«/mfrac»«mfrac»«mn»1«/mn»«msup»«mi»#m1«/mi»«mn»2«/mn»«/msup»«/mfrac»«mfrac»«mrow»«mi»#me«/mi»«/mrow»«mi»#tiempo«/mi»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mi»d«/mi»«mi»h«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«/math»</span> </i></font></div> <div style="text-align: center;"><font size="4" face="times new roman, times, serif"><i><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#j«/mi»«mfrac»«mn»1«/mn»«mi»§#960;«/mi»«/mfrac»«mfrac»«mi»#m1«/mi»«mrow»«mi»#tiempo«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mi»d«/mi»«mi»h«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«/math»</span> </i></font></div> <div style="text-align: center;"><font size="4" face="times new roman, times, serif"><i><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfrac»«mi»#nj«/mi»«mrow»«mi»#dj«/mi»«mo»·«/mo»«mi»§#960;«/mi»«/mrow»«/mfrac»«mfrac»«mi»#m1«/mi»«mrow»«mi»#tiempo«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mi»d«/mi»«mi»h«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«/math»</span> </i></font></div> <div style="text-align: center;"><font size="4" face="times new roman, times, serif"><i><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfrac»«mrow»«mi»d«/mi»«mi»h«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«mo»§#8776;«/mo»«mi»#k«/mi»«mfrac»«mi»#m1«/mi»«mi»#tiempo«/mi»«/mfrac»«/math»</span> </i></font></div> <div style="text-align: justify;"><font size="4" face="times new roman, times, serif"><i>Que es la velocidad con la que sube el vértice del cono de grano en el instante en que <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»h«/mi»«mo»=«/mo»«mi»#d«/mi»«mi»#m1«/mi»«/math»</span></i></font></div> <div style="text-align: left;"><font size="4" face="times new roman, times, serif"><i><br /></i></font></div> <div style="text-align: left;"><font size="4" face="times new roman, times, serif"><i><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#enunciado2«/mi»«/math»</span></i></font></div> <div style="text-align: justify;"><font size="4" face="times new roman, times, serif"><i><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#enunciado3«/mi»«/math»</span></i></font></div> <div style="text-align: center;"><font size="4" face="times new roman, times, serif"><i><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#enunciado4«/mi»«/math»</span></i></font></div> <div style="text-align: center;"><font size="4" face="times new roman, times, serif"><i><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#enunciado5«/mi»«/math»</span></i></font></div> <div style="text-align: justify;"><font size="4" face="times new roman, times, serif"><i><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#enunciado6«/mi»«/math»</span></i></font></div> <div style="text-align: center;"><font size="4" face="times new roman, times, serif"><i><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#enunciado7«/mi»«/math»</span></i></font></div> <div style="text-align: justify;"><span style="text-align: start;"><font size="4" face="times new roman, times, serif"><i><br /></i></font></span></div> <div style="text-align: center;"><br /></div>
One or multiple answers?
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Number the choices?
a., b., c., ...
A., B., C., ...
1., 2., 3., ...
i., ii., iii., ...
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WIRIS variables
Algorithm
Choice 1
Answer
#alt1
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
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33.33333%
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14.28571%
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11.11111%
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-66.66667%
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Feedback
<div style="text-align: left;"><font size="4" face="times new roman, times, serif"><i>¡Excelente!<font size="4"> </font>Sigue asÃ.</i></font></div>
Choice 2
Answer
#alt2
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
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-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
<div style="text-align: left;"><font size="4" face="times new roman, times, serif"><i>¡Excelente! Sigue asÃ.</i></font></div>
Choice 3
Answer
#alt3
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
<font size="4" face="times new roman, times, serif"> <div style="text-align: left;"><font size="4" face="times new roman, times, serif"><i>Revisa el desarrollo para identificar tus errores. ¡Tú puedes!</i></font></div></font>
Choice 4
Answer
#alt4
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
<font size="4" face="times new roman, times, serif"><i>Revisa el desarrollo para identificar tus errores. ¡Tú puedes!</i></font>
Choice 5
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
Choice 6
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
Choice 7
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
Combined feedback
For any correct response
For any partially correct response
Options
Show the number of correct responses once the question has finished
For any incorrect response
Settings for multiple tries
Penalty for each incorrect try
100%
50%
33.33333%
25%
20%
10%
0%
Hint 1
Hint text
Options
Clear incorrect responses
Show the number of correct responses
Hint 2
Hint text
Options
Clear incorrect responses
Show the number of correct responses
Created / last saved
Created
by
Admin User
on
Friday, 23 August 2013, 3:11 PM
Last saved
by
Admin User
on
Friday, 23 August 2013, 3:11 PM
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