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<Worksheet><Version major="6" minor="0"/><View-Properties><Zoom percentage="100"/></View-Properties><Styles><Layout alignment="left" bullet="none" name="Heading 3" spaceabove="0.0" spacebelow="0.0"/><Layout alignment="left" bullet="none" name="Heading 2" spaceabove="8.0" spacebelow="2.0"/><Layout alignment="left" bullet="none" name="Heading 1" spaceabove="8.0" spacebelow="4.0"/><Layout alignment="left" bullet="none" firstindent="0.0" leftmargin="0.0" linebreak="space" name="Normal" rightmargin="0.0" spaceabove="0.0" spacebelow="0.0"/><Layout alignment="centred" bullet="none" name="Maple Plot"/><Layout alignment="centred" bullet="none" linespacing="0.5" name="Maple Output"/><Font background="[0,0,0]" bold="false" family="Lucida Bright" foreground="[0,0,0]" italic="false" name="Text" opaque="false" size="12" underline="false"/><Font background="[0,0,0]" bold="true" family="Serif" italic="true" name="Heading 3" opaque="false" size="14"/><Font background="[0,0,0]" bold="true" family="Serif" name="Heading 2" opaque="false" size="16"/><Font background="[0,0,0]" bold="true" family="Serif" name="Heading 1" opaque="false" size="18"/><Font background="[0,0,0]" family="Lucida Bright" foreground="[0,0,255]" name="2D Output" opaque="false" readonly="true" size="12"/><Font background="[0,0,0]" bold="true" executable="true" family="Monospaced" foreground="[255,0,0]" name="Maple Input" opaque="false" size="12"/></Styles><Section><Title><Text-field layout="Heading 1" style="Heading 1">Uebung 4</Text-field></Title><Section><Title><Text-field layout="Heading 2" style="Heading 2">Aufgabe 1</Text-field></Title><Group><Text-field layout="Normal" prompt="&gt; " style="Maple Input"><Font italic="false" underline="false">restart;</Font></Text-field></Group><Section><Title><Text-field layout="Heading 3" style="Heading 3">a)</Text-field></Title><Group><Input><Text-field layout="Normal" style="Text"><Font executable="false">Flaeche</Font></Text-field></Input></Group></Section><Section><Title><Text-field layout="Heading 3" style="Heading 3">b)</Text-field></Title><Group><Input><Text-field layout="Normal" style="Text"><Font executable="false">Der Funktionswert gibt die Hoehenkoordinate eines Punktes</Font></Text-field></Input></Group></Section><Section><Title><Text-field layout="Heading 3" style="Heading 3">c)</Text-field></Title><Group><Input><Text-field layout="Normal" style="Text"><Font executable="false">Hoehenlinie</Font></Text-field></Input></Group></Section></Section><Section><Title><Text-field layout="Heading 2" style="Heading 2">Aufgabe 2</Text-field></Title><Section><Title><Text-field layout="Heading 3" style="Heading 3">a)</Text-field></Title><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">restart;</Text-field></Input></Group><Group><Input><Text-field layout="Normal" style="Text"><Font executable="false">Ausrechnet der Spurpunkte und verbinden dieser Punkte. 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layout="Heading 3" style="Heading 3">b)</Text-field></Title><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">restart;</Text-field></Input></Group><Group><Input><Text-field layout="Normal" style="Text"><Font executable="false">x und y null setzen, danach jeweis x null setzen (yz-ebene) und y null setzen (xz-ebene)</Font></Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">f:=(x,y)-&gt;x**2+y**2-2;</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSJmRzYiZio2JEkieEdGJUkieUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCgqJDkkIiIjIiIiKiQ5JUYwRjEhIiNGMUYlRiVGJQ==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">plot3d({f(x,y)},x=-10..10,y=-10..10);</Text-field></Input><Output><Text-field layout="Maple Plot"><Plot height="400" type="three-dimensional" 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layout="Heading 2" style="Heading 2">Aufgabe 3</Text-field></Title><Section><Title><Text-field layout="Heading 3" style="Heading 3">a)</Text-field></Title><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">restart;</Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">z:=(x,y)-&gt;exp(x*y)*(sin(x)+cos(y)):simplify(z(x,y));</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiMqJi1JJGV4cEc2JEkqcHJvdGVjdGVkR0YnSShfc3lzbGliRzYiNiMqJkkieEdGKSIiIkkieUdGKUYtRi0sJi1JJHNpbkdGJjYjRixGLS1JJGNvc0dGJjYjRi5GLUYt</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">zx:=D[1](z):simplify(zx(x,y)):simplify(zx(x,y));</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiMqJi1JJGV4cEc2JEkqcHJvdGVjdGVkR0YnSShfc3lzbGliRzYiNiMqJkkieEdGKSIiIkkieUdGKUYtRi0sKComRi5GLS1JJHNpbkdGJjYjRixGLUYtKiZGLkYtLUkkY29zR0YmNiNGLkYtRi0tRjZGM0YtRi0=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">zy:=D[2](z):simplify(zy(x,y)):simplify(zy(x,y));</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiMqJi1JJGV4cEc2JEkqcHJvdGVjdGVkR0YnSShfc3lzbGliRzYiNiMqJkkieEdGKSIiIkkieUdGKUYtRi0sKComRixGLS1JJHNpbkdGJjYjRixGLUYtKiZGLEYtLUkkY29zR0YmNiNGLkYtRi0tRjJGNyEiIkYt</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">zxx:=D[1](zx):simplify(zxx(x,y)):simplify(zxx(x,y));</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiMqJi1JJGV4cEc2JEkqcHJvdGVjdGVkR0YnSShfc3lzbGliRzYiNiMqJkkieEdGKSIiIkkieUdGKUYtRi0sKiomRi4iIiMtSSRzaW5HRiY2I0YsRi1GLSomRi5GMS1JJGNvc0dGJjYjRi5GLUYtKiZGLkYtLUY3RjRGLUYxRjIhIiJGLQ==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">zyy:=D[1](zy):simplify(zyy(x,y)):simplify(zyy(x,y));</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiMqJi1JJGV4cEc2JEkqcHJvdGVjdGVkR0YnSShfc3lzbGliRzYiNiMqJkkieEdGKSIiIkkieUdGKUYtRi0sLi1JJHNpbkdGJjYjRixGLS1JJGNvc0dGJjYjRi5GLSooRixGLUYuRi1GMEYtRi0qKEYsRi1GLkYtRjNGLUYtKiZGLEYtLUY0RjJGLUYtKiZGLkYtLUYxRjVGLSEiIkYt</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">zxy:=D[1](zx):simplify(zxy(x,y)):simplify(zxy(x,y));</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiMqJi1JJGV4cEc2JEkqcHJvdGVjdGVkR0YnSShfc3lzbGliRzYiNiMqJkkieEdGKSIiIkkieUdGKUYtRi0sKiomRi4iIiMtSSRzaW5HRiY2I0YsRi1GLSomRi5GMS1JJGNvc0dGJjYjRi5GLUYtKiZGLkYtLUY3RjRGLUYxRjIhIiJGLQ==</Equation></Text-field></Output></Group></Section><Section><Title><Text-field layout="Heading 3" style="Heading 3">b)</Text-field></Title><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">restart;</Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">s:=(t,p)-&gt;t**2*log[10](p+1)+p**2*log[10](t+1);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSJzRzYiZio2JEkidEdGJUkicEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCYqJjkkIiIjLSZJJGxvZ0dGJTYjIiM1NiMsJjklIiIiRjlGOUY5RjkqJkY4RjAtRjI2IywmRi9GOUY5RjlGOUY5RiVGJUYl</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" style="Text"><Font executable="false">1. Ebene		st, sp</Font></Text-field><Text-field layout="Normal" style="Text"><Font executable="false">2. Ebene		stt, stp, spp</Font></Text-field><Text-field layout="Normal" style="Text"><Font executable="false">3. Ebene		sttt, sttp, stpp, sppp</Font></Text-field></Input></Group></Section><Section><Title><Text-field layout="Heading 3" style="Heading 3">c)</Text-field></Title><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">restart;</Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">r:=(u,v,w)-&gt;u**3*v**3*w**3+r0**2*sqrt(Pi);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSJyRzYiZio2JUkidUdGJUkidkdGJUkid0dGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCYqKDkkIiIkOSVGMTkmRjEiIiIqJkkjcjBHRiUiIiMtSSVzcXJ0R0YlNiNJI1BpR0kqcHJvdGVjdGVkR0Y8RjRGNEYlRiVGJQ==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" style="Text"><Font executable="false">1. Ebene		ru, rv, rw</Font></Text-field><Text-field layout="Normal" style="Text"><Font executable="false">2. Ebene		ruu, rvv, rww, ruv, ruw, rvw</Font></Text-field><Text-field layout="Normal" style="Text"><Font executable="false">3. Ebene		ruuu, rvvv, rwww, ruuv, ruuw, rvvu, rvvw, rwwu, rwwv, ruvw</Font></Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">ru:=D[1](r);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSNydUc2ImYqNiVJInVHRiVJInZHRiVJIndHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSwkKig5JCIiIzklIiIkOSZGM0YzRiVGJUYl</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">rv:=D[2](r);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSNydkc2ImYqNiVJInVHRiVJInZHRiVJIndHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSwkKig5JCIiJDklIiIjOSZGMUYxRiVGJUYl</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">rw:=D[3](r);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSNyd0c2ImYqNiVJInVHRiVJInZHRiVJIndHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSwkKig5JCIiJDklRjE5JiIiI0YxRiVGJUYl</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">ruu:=D[1](ru);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSRydXVHNiJmKjYlSSJ1R0YlSSJ2R0YlSSJ3R0YlRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUsJCooOSQiIiI5JSIiJDkmRjMiIidGJUYlRiU=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">rvv:=D[2](rv);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSRydnZHNiJmKjYlSSJ1R0YlSSJ2R0YlSSJ3R0YlRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUsJCooOSQiIiQ5JSIiIjkmRjEiIidGJUYlRiU=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">rww:=D[3](rw);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSRyd3dHNiJmKjYlSSJ1R0YlSSJ2R0YlSSJ3R0YlRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUsJCooOSQiIiQ5JUYxOSYiIiIiIidGJUYlRiU=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">ruv:=D[2](ru);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSRydXZHNiJmKjYlSSJ1R0YlSSJ2R0YlSSJ3R0YlRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUsJCooOSQiIiM5JUYxOSYiIiQiIipGJUYlRiU=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">ruw:=D[3](ru);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSRydXdHNiJmKjYlSSJ1R0YlSSJ2R0YlSSJ3R0YlRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUsJCooOSQiIiM5JSIiJDkmRjEiIipGJUYlRiU=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">rvw:=D[3](rv);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSRydndHNiJmKjYlSSJ1R0YlSSJ2R0YlSSJ3R0YlRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUsJCooOSQiIiQ5JSIiIzkmRjMiIipGJUYlRiU=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">ruuu:=D[1](ruu);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSVydXV1RzYiZio2JUkidUdGJUkidkdGJUkid0dGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCQqJjklIiIkOSZGMSIiJ0YlRiVGJQ==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">rvvv:=D[2](rvv);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSVydnZ2RzYiZio2JUkidUdGJUkidkdGJUkid0dGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCQqJjkkIiIkOSZGMSIiJ0YlRiVGJQ==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">rwww:=D[3](rww);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSVyd3d3RzYiZio2JUkidUdGJUkidkdGJUkid0dGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCQqJjkkIiIkOSVGMSIiJ0YlRiVGJQ==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">ruuv:=D[2](ruu);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSVydXV2RzYiZio2JUkidUdGJUkidkdGJUkid0dGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCQqKDkkIiIiOSUiIiM5JiIiJCIjPUYlRiVGJQ==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">ruuw:=D[3](ruu);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSVydXV3RzYiZio2JUkidUdGJUkidkdGJUkid0dGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCQqKDkkIiIiOSUiIiQ5JiIiIyIjPUYlRiVGJQ==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">rvvu:=D[1](rvv);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSVydnZ1RzYiZio2JUkidUdGJUkidkdGJUkid0dGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCQqKDkkIiIjOSUiIiI5JiIiJCIjPUYlRiVGJQ==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">rvvw:=D[3](rvv);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSVydnZ3RzYiZio2JUkidUdGJUkidkdGJUkid0dGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCQqKDkkIiIkOSUiIiI5JiIiIyIjPUYlRiVGJQ==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">rwwu:=D[1](rww);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSVyd3d1RzYiZio2JUkidUdGJUkidkdGJUkid0dGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCQqKDkkIiIjOSUiIiQ5JiIiIiIjPUYlRiVGJQ==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">rwwv:=D[2](rww);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSVyd3d2RzYiZio2JUkidUdGJUkidkdGJUkid0dGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCQqKDkkIiIkOSUiIiM5JiIiIiIjPUYlRiVGJQ==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">ruvw:=D[3](ruv);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSVydXZ3RzYiZio2JUkidUdGJUkidkdGJUkid0dGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCQqKDkkIiIjOSVGMTkmRjEiI0ZGJUYlRiU=</Equation></Text-field></Output></Group></Section></Section><Section><Title><Text-field layout="Heading 2" style="Heading 2">Aufgabe 4</Text-field></Title><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">restart;</Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">z:=(x,y)-&gt;sin(x)*cos(y);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSJ6RzYiZio2JEkieEdGJUkieUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlKiYtSSRzaW5HRiU2IzkkIiIiLUkkY29zR0YlNiM5JUYyRiVGJUYl</Equation></Text-field></Output></Group><Section><Title><Text-field layout="Heading 3" style="Heading 3">a)</Text-field></Title><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">zx:=D[1](z);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSN6eEc2ImYqNiRJInhHRiVJInlHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSomLUkkY29zRzYkSSpwcm90ZWN0ZWRHRjFJKF9zeXNsaWJHRiU2IzkkIiIiLUYvNiM5JUY1RiVGJUYl</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">zy:=D[2](z);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSN6eUc2ImYqNiRJInhHRiVJInlHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSwkKiYtSSRzaW5HNiRJKnByb3RlY3RlZEdGMkkoX3N5c2xpYkdGJTYjOSQiIiItRjA2IzklRjYhIiJGJUYlRiU=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">x0:=0.9*Pi;</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSN4MEc2IiwkSSNQaUdJKnByb3RlY3RlZEdGKCQiIiohIiI=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">y0:=1.1*Pi;</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSN5MEc2IiwkSSNQaUdJKnByb3RlY3RlZEdGKCQiIzYhIiI=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">t:=(x0,y0)-&gt;zx(x0,y0)*(x-x0)+zy(x0,y0)*(y-y0)+z(x0,y0);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSJ0RzYiZio2JEkjeDBHRiVJI3kwR0YlRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUsKComLUkjenhHRiU2JDkkOSUiIiIsJkkieEdGJUY0RjIhIiJGNEY0KiYtSSN6eUdGJUYxRjQsJkkieUdGJUY0RjNGN0Y0RjQtSSJ6R0YlRjFGNEYlRiVGJQ==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">t(0.9*Pi,1.1*Pi)-z=0;simplify(%);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiMvLCoqKC1JJGNvc0c2JEkqcHJvdGVjdGVkR0YpSShfc3lzbGliRzYiNiMsJEkjUGlHRikkIiIqISIiIiIiLUYnNiMsJEYuJCIjNkYxRjIsJkkieEdGK0YyRi4kISIqRjFGMkYyKigtSSRzaW5HRihGLEYyLUY+RjRGMiwmSSJ5R0YrRjJGLiQhIzZGMUYyRjEqJkY9RjJGM0YyRjJJInpHRitGMSIiIQ==</Equation></Text-field></Output><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiMvLCpJInhHNiIkIit1XDNYISohIzUkISslNEQ4PSQhIioiIiJJInlHRiYkIitlLTpcJiohIzZJInpHRiYkISIiIiIhRjU=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">e:=(x,y)-&gt;.9045084974*x-3.181325094+0.9549150258e-1*y;</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSJlRzYiZio2JEkieEdGJUkieUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCgqJiQiK3VcM1ghKiEjNSIiIjkkRjJGMiQiKyU0RDg9JCEiKiEiIiomJCIrZS06XCYqISM2RjI5JUYyRjJGJUYlRiU=</Equation></Text-field></Output></Group></Section><Section><Title><Text-field layout="Heading 3" style="Heading 3">b)</Text-field></Title><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">plot3d({z(x,y),e(x,y)},x=0..5,y=-5..5);</Text-field></Input><Output><Text-field layout="Maple Plot"><Plot height="400" type="three-dimensional" 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xF3Q"yF3Q!F3-%%FONTG6$%*HELVETICAG"#5</Plot></Text-field></Output></Group></Section></Section><Section><Title><Text-field layout="Heading 2" style="Heading 2">Aufgabe 5</Text-field></Title><Section><Title><Text-field layout="Heading 3" style="Heading 3">a)</Text-field></Title><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">restart;</Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">u:=(p,r,t)-&gt;r**2*exp(-t**2)*(1-(p/(1+p)**2));</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSJ1RzYiZio2JUkicEdGJUkickdGJUkidEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlKig5JSIiIy1JJGV4cEdGJTYjLCQqJDkmRjAhIiIiIiIsJkY4RjgqJjkkRjgsJkY4RjhGO0Y4ISIjRjdGOEYlRiVGJQ==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">up:=D[1](u);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSN1cEc2ImYqNiVJInBHRiVJInJHRiVJInRHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSooOSUiIiMtSSRleHBHNiRJKnByb3RlY3RlZEdGNEkoX3N5c2xpYkdGJTYjLCQqJDkmRjAhIiIiIiIsJiokLCZGO0Y7OSRGOyEiI0Y6KiZGP0Y7Rj4hIiRGMEY7RiVGJUYl</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">ur:=D[2](u);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSN1ckc2ImYqNiVJInBHRiVJInJHRiVJInRHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSwkKig5JSIiIi1JJGV4cEc2JEkqcHJvdGVjdGVkR0Y1SShfc3lzbGliR0YlNiMsJCokOSYiIiMhIiJGMSwmRjFGMSomOSRGMSwmRjFGMUY/RjEhIiNGPEYxRjtGJUYlRiU=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">ut:=D[3](u);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSN1dEc2ImYqNiVJInBHRiVJInJHRiVJInRHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSwkKio5JSIiIzkmIiIiLUkkZXhwRzYkSSpwcm90ZWN0ZWRHRjdJKF9zeXNsaWJHRiU2IywkKiRGMkYxISIiRjMsJkYzRjMqJjkkRjMsJkYzRjNGP0YzISIjRjxGM0ZBRiVGJUYl</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">du:=up(p,r,t)*dp+ur(p,r,t)*dr+ut(p,r,t)*dt;</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSNkdUc2IiwoKipJInJHRiUiIiMtSSRleHBHNiRJKnByb3RlY3RlZEdGLUkoX3N5c2xpYkdGJTYjLCQqJEkidEdGJUYpISIiIiIiLCYqJCwmRjRGNEkicEdGJUY0ISIjRjMqJkY4RjRGNyEiJEYpRjRJI2RwR0YlRjRGNCoqRihGNEYqRjQsJkY0RjQqJkY4RjRGN0Y5RjNGNEkjZHJHRiVGNEYpKixGKEYpRjJGNEYqRjRGPkY0SSNkdEdGJUY0Rjk=</Equation></Text-field></Output></Group></Section><Section><Title><Text-field layout="Heading 3" style="Heading 3">b)</Text-field></Title><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">restart;</Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">x:=(r,t)-&gt;r**2*(1+cos(t)**2);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSJ4RzYiZio2JEkickdGJUkidEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlKiY5JCIiIywmIiIiRjEqJC1JJGNvc0dGJTYjOSVGL0YxRjFGJUYlRiU=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">xr:=D[1](x);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSN4ckc2ImYqNiRJInJHRiVJInRHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSwkKiY5JCIiIiwmRjBGMCokLUkkY29zRzYkSSpwcm90ZWN0ZWRHRjZJKF9zeXNsaWJHRiU2IzklIiIjRjBGMEY6RiVGJUYl</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">xt:=D[2](x);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSN4dEc2ImYqNiRJInJHRiVJInRHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSwkKig5JCIiIy1JJGNvc0c2JEkqcHJvdGVjdGVkR0Y0SShfc3lzbGliR0YlNiM5JSIiIi1JJHNpbkdGM0Y2RjghIiNGJUYlRiU=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">dx:=xr(r,t)*dr+xt(r,t)*dt;</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSNkeEc2IiwmKihJInJHRiUiIiIsJkYpRikqJC1JJGNvc0c2JEkqcHJvdGVjdGVkR0YvSShfc3lzbGliR0YlNiNJInRHRiUiIiNGKUYpSSNkckdGJUYpRjMqKkYoRjNGLEYpLUkkc2luR0YuRjFGKUkjZHRHRiVGKSEiIw==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">y:=(r,t)-&gt;r**(-1)*(1-sin(t)**2);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSJ5RzYiZio2JEkickdGJUkidEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlKiY5JCEiIiwmIiIiRjEqJC1JJHNpbkc2JEkqcHJvdGVjdGVkR0Y2SShfc3lzbGliR0YlNiM5JSIiI0YvRjFGJUYlRiU=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">yr:=D[1](y);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSN5ckc2ImYqNiRJInJHRiVJInRHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSwkKiY5JCEiIywmIiIiRjIqJC1JJHNpbkc2JEkqcHJvdGVjdGVkR0Y3SShfc3lzbGliR0YlNiM5JSIiIyEiIkYyRjxGJUYlRiU=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">yt:=D[2](y);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSN5dEc2ImYqNiRJInJHRiVJInRHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSwkKig5JCEiIi1JJHNpbkc2JEkqcHJvdGVjdGVkR0Y0SShfc3lzbGliR0YlNiM5JSIiIi1JJGNvc0dGM0Y2RjghIiNGJUYlRiU=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">dy:=yr(r,t)*dr+yt(r,t)*dt;</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSNkeUc2IiwmKihJInJHRiUhIiMsJiIiIkYrKiQtSSRzaW5HNiRJKnByb3RlY3RlZEdGMEkoX3N5c2xpYkdGJTYjSSJ0R0YlIiIjISIiRitJI2RyR0YlRitGNSoqRihGNUYtRistSSRjb3NHRi9GMkYrSSNkdEdGJUYrRik=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">z:=x(r,t)+y(r,t);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSJ6RzYiLCYqJkkickdGJSIiIywmIiIiRisqJC1JJGNvc0c2JEkqcHJvdGVjdGVkR0YwSShfc3lzbGliR0YlNiNJInRHRiVGKUYrRitGKyomRighIiIsJkYrRisqJC1JJHNpbkdGL0YyRilGNUYrRis=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">zr:=diff(z,r);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSN6ckc2IiwmKiZJInJHRiUiIiIsJkYpRikqJC1JJGNvc0c2JEkqcHJvdGVjdGVkR0YvSShfc3lzbGliR0YlNiNJInRHRiUiIiNGKUYpRjMqJkYoISIjLCZGKUYpKiQtSSRzaW5HRi5GMUYzISIiRilGOg==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">zt:=diff(z,t);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSN6dEc2IiwmKihJInJHRiUiIiMtSSRjb3NHNiRJKnByb3RlY3RlZEdGLUkoX3N5c2xpYkdGJTYjSSJ0R0YlIiIiLUkkc2luR0YsRi9GMSEiIyooRighIiJGMkYxRipGMUY0</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">dz:=zr*dr+zt*dt;</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSNkekc2IiwmKiYsJiomSSJyR0YlIiIiLCZGK0YrKiQtSSRjb3NHNiRJKnByb3RlY3RlZEdGMUkoX3N5c2xpYkdGJTYjSSJ0R0YlIiIjRitGK0Y1KiZGKiEiIywmRitGKyokLUkkc2luR0YwRjNGNSEiIkYrRjxGK0kjZHJHRiVGK0YrKiYsJiooRipGNUYuRitGOkYrRjcqKEYqRjxGOkYrRi5GK0Y3RitJI2R0R0YlRitGKw==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group></Section></Section></Section><Text-field/><Text-field/><Text-field/></Worksheet>