Änderungen von Dokument BPE 10.6 Anwendung

Zusammenfassung

• Seiteneigenschaften (2 geändert, 0 hinzugefügt, 0 gelöscht)
• Anhänge (0 geändert, 3 hinzugefügt, 0 gelöscht)
  • Kolben und Pleuel Lösung.svg
  • Kolben und Pleuel.ggb
  • Kolben und Pleuel.svg

Details

Seiteneigenschaften

Dokument-Autor

...	...	@@ -1,1 +1,1 @@
1		-XWiki.akukin
	1	+XWiki.tobiasdrostemws-tuebingende

Inhalt

...	...	@@ -24,4 +24,25 @@
24	24	Gib an, wie der Graph von {{formula}}k{{/formula}} schrittweise aus dem Graphen der in {{formula}}\mathbb{R}{{/formula}} definierten Funktion {{formula}}s: x \mapsto \sin(x){{/formula}} hervorgeht. Beurteile, ob die Reihenfolge der einzelnen Schritte von Bedeutung ist.
25	25	{{/aufgabe}}
26	26
	27	+{{aufgabe id="Kolben und Pleuel" afb="III" kompetenzen="K3,K4,K5" quelle="Jürgen Kury" zeit="13" cc="by-sa" links="[[GeoGebra>>https://www.geogebra.org/m/xfv9rccz#material/kh78n7cf]]" interaktiv="https://www.geogebra.org/m/xfv9rccz#material/kh78n7cf"}}
	28	+[[image:Kolben und Pleuel.svg||style="float: right; width:250px"]]Bei einem Schubkurbelgetriebe wird die Auf- und Abbewegung eines Kolbens in eine Drehbewegung umgesetzt. Dieses Prinzip ist das Herzstück verschiedenster Verbrennungsmotoren.
	29	+
	30	+Modelliere den Höhenverlauf des Kolbens bzw. des Punktes K in Abhängigkeit vom Winkel //x// im Bogenmaß. Der Radius des Kreises ist //5//. Die Länge des Pleuels ist //15//.
	31	+{{/aufgabe}}
	32	+
	33	+{{aufgabe id="Ebbe und Flut" afb="I, II, III" kompetenzen="K1,K2,K3" quelle="Droste" zeit="15"}}
	34	+An der Nordseeküste verändert sich der Wasserstand regelmäßig durch Ebbe und Flut. Der Verlauf kann näherungsweise mit einer trigonometrischen Funktion beschrieben werden.
	35	+An einem bestimmten Tag wird der Wasserstand h(t) in Metern über dem mittleren Niedrigwasser gemessen. t gibt die Zeit in Stunden nach 0:00 Uhr an. Der Wasserstand lässt sich näherungsweise durch folgende Funktion modellieren: {{formula}}h(t)= 3,2\cdot \sin\left(\frac{\pi}{6}(t-1)\right)+4{{/formula}}.
	36	+ (%class=abc%)
	37	+1. Bestimme aus der Funktionsgleichung: die Amplitude, die Periodenlänge, die Verschiebung in y-Richtung und die Verschiebung in x-Richtung.
	38	+1. Erläutere die Bedeutung der folgenden Werte im Zusammenhang mit Ebbe und Flut: Amplitude, Periodenlänge und die Verschiebung in y-Richtung.
	39	+1. Berechne den Wasserstand um 4:00 Uhr und um 10:20 Uhr.
	40	+1. Bestimme rechnerisch: den höchsten Wasserstand und den niedrigsten Wasserstand mit den entsprechenden Uhrzeiten in den ersten 24 h.
	41	+1. Skizziere den Graphen der Funktion im Intervall 0≤t≤24.
	42	+1. Ein Fischerboot benötigt mindestens 5,5 Meter Wasserstand, um den Hafen verlassen zu können. Berechne, in welchen Zeitraum das Boot den Hafen verlassen kann.
	43	+1. Trigonometrische Funktionen beschreiben Ebbe und Flut nur näherungsweise. Nenne mindestens zwei Gründe, warum reale Wasserstände von diesem Modell abweichen können.
	44	+1. Ebbe und Flut entstehen primär durch die Anziehungskraft des Mondes, aber die Sonne beeinflusst die Stärke der Gezeiten maßgeblich. Wenn Sonne, Mond und Erde in einer Linie stehen (Voll-/Neumond), addieren sich die Kräfte zur starken Springflut. Stehen sie im rechten Winkel (Halbmond), schwächen sich die Kräfte ab, was zu einer schwächeren Nippflut führt. Der Einfluss des Mondes ist doppelt so hoch, wie der Einfluss der Sonne. Die Funktion {{formula}}h(t)= 3,2\cdot \sin\left(\frac{\pi}{6}(t-1)\right)+4{{/formula}} beschreibt eine Springflut. Stelle einen Funktionsgleichung für eine Nippflut auf. Begründe dein vorgehen.
	45	+
	46	+{{/aufgabe}}
	47	+
27	27	{{seitenreflexion}}

Kolben und Pleuel Lösung.svg

Author

...	...	@@ -1,0 +1,1 @@
	1	+XWiki.holgerengels

Größe

...	...	@@ -1,0 +1,1 @@
	1	+15.6 KB

Inhalt

...	...	@@ -1,0 +1,1 @@
	1	+<svg version="1.1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="287" height="626"><defs><clipPath id="zbhCsqTbbFKU"><path fill="none" stroke="none" d=" M 0 0 L 287 0 L 287 626 L 0 626 L 0 0 Z"/></clipPath></defs><g transform="scale(1,1)" clip-path="url(#zbhCsqTbbFKU)"><g><rect fill="rgb(255,255,255)" stroke="none" x="0" y="0" width="288" height="627" fill-opacity="1"/><path fill="none" stroke="rgb(180,179,186)" paint-order="fill stroke markers" d=" M 43.5 0.5 L 43.5 626.5 M 43.5 0.5 L 43.5 626.5 M 232.5 0.5 L 232.5 626.5" stroke-opacity="1" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/><path fill="none" stroke="rgb(180,179,186)" paint-order="fill stroke markers" d=" M 5.5 0.5 L 5.5 626.5 M 24.5 0.5 L 24.5 626.5 M 62.5 0.5 L 62.5 626.5 M 81.5 0.5 L 81.5 626.5 M 100.5 0.5 L 100.5 626.5 M 118.5 0.5 L 118.5 626.5 M 156.5 0.5 L 156.5 626.5 M 175.5 0.5 L 175.5 626.5 M 194.5 0.5 L 194.5 626.5 M 213.5 0.5 L 213.5 626.5 M 251.5 0.5 L 251.5 626.5 M 270.5 0.5 L 270.5 626.5" stroke-opacity="0.23529411764705882" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/><path fill="none" stroke="rgb(180,179,186)" paint-order="fill stroke markers" d=" M 0.5 36.5 L 287.5 36.5 M 0.5 36.5 L 287.5 36.5 M 0.5 131.5 L 287.5 131.5 M 0.5 226.5 L 287.5 226.5 M 0.5 320.5 L 287.5 320.5 M 0.5 415.5 L 287.5 415.5 M 0.5 604.5 L 287.5 604.5" stroke-opacity="1" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/><path fill="none" stroke="rgb(180,179,186)" paint-order="fill stroke markers" d=" M 0.5 17.5 L 287.5 17.5 M 0.5 17.5 L 287.5 17.5 M 0.5 55.5 L 287.5 55.5 M 0.5 74.5 L 287.5 74.5 M 0.5 93.5 L 287.5 93.5 M 0.5 112.5 L 287.5 112.5 M 0.5 150.5 L 287.5 150.5 M 0.5 169.5 L 287.5 169.5 M 0.5 188.5 L 287.5 188.5 M 0.5 207.5 L 287.5 207.5 M 0.5 245.5 L 287.5 245.5 M 0.5 264.5 L 287.5 264.5 M 0.5 282.5 L 287.5 282.5 M 0.5 301.5 L 287.5 301.5 M 0.5 339.5 L 287.5 339.5 M 0.5 358.5 L 287.5 358.5 M 0.5 377.5 L 287.5 377.5 M 0.5 396.5 L 287.5 396.5 M 0.5 434.5 L 287.5 434.5 M 0.5 453.5 L 287.5 453.5 M 0.5 472.5 L 287.5 472.5 M 0.5 491.5 L 287.5 491.5 M 0.5 528.5 L 287.5 528.5 M 0.5 547.5 L 287.5 547.5 M 0.5 566.5 L 287.5 566.5 M 0.5 585.5 L 287.5 585.5 M 0.5 623.5 L 287.5 623.5" stroke-opacity="0.23529411764705882" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/><path fill="none" stroke="rgb(28,28,31)" paint-order="fill stroke markers" d=" M 137.5 2.5 L 137.5 626.5" stroke-opacity="1" stroke-miterlimit="10"/><path fill="none" stroke="rgb(28,28,31)" paint-order="fill stroke markers" d=" M 137.5 1.5 L 133.5 5.5" stroke-opacity="1" stroke-miterlimit="10"/><path fill="none" stroke="rgb(28,28,31)" paint-order="fill stroke markers" d=" M 137.5 1.5 L 141.5 5.5" stroke-opacity="1" stroke-miterlimit="10"/><path fill="none" stroke="rgb(28,28,31)" paint-order="fill stroke markers" d=" M 0.5 510.5 L 285.5 510.5" stroke-opacity="1" stroke-miterlimit="10"/><path fill="none" stroke="rgb(28,28,31)" paint-order="fill stroke markers" d=" M 286.5 510.5 L 282.5 506.5" stroke-opacity="1" stroke-miterlimit="10"/><path fill="none" stroke="rgb(28,28,31)" paint-order="fill stroke markers" d=" M 286.5 510.5 L 282.5 514.5" stroke-opacity="1" stroke-miterlimit="10"/><text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="38" y="526" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">–5</text><text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="230" y="526" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">5</text><text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="117" y="609" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">–5</text><text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="123" y="420" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">5</text><text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="117" y="325" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">10</text><text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="117" y="231" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">15</text><text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="117" y="136" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">20</text><text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="117" y="41" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">25</text><text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="123" y="526" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">0</text><path fill="rgb(21,101,192)" stroke="none" paint-order="stroke fill markers" fill-rule="evenodd" d=" M 137.89543693286544 167.24727409035455 L 194.6713563403643 167.24727409035455 L 194.6713563403643 34.77012880619054 L 81.11951752536659 34.77012880619054 L 81.11951752536659 167.24727409035455 L 137.89543693286544 167.24727409035455 Z" fill-opacity="0.09803921568627451"/><path fill="none" stroke="rgb(0,0,0)" paint-order="fill stroke markers" d=" M 232.52196927869687 510.039715834543 C 232.52196927869687 562.300506578516 190.1562276768384 604.6662481803744 137.89543693286544 604.6662481803744 C 85.63464618889245 604.6662481803744 43.268904587034015 562.300506578516 43.268904587034015 510.039715834543 C 43.268904587034015 457.77892509057 85.63464618889245 415.4131834887116 137.89543693286544 415.4131834887116 C 190.1562276768384 415.4131834887116 232.52196927869687 457.77892509057 232.52196927869687 510.039715834543 Z" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="rgb(0,0,0)" stroke="none" paint-order="stroke fill markers" d=" M 167.89543693286544 510.039715834543 C 167.89543693286544 502.0832211393567 164.7347317219029 494.45260375238763 159.10864036846186 488.8265123989466 L 137.89543693286544 510.039715834543 Z" fill-opacity="0.09803921568627451"/><path fill="none" stroke="rgb(0,0,0)" paint-order="fill stroke markers" d=" M 167.89543693286544 510.039715834543 C 167.89543693286544 502.0832211393567 164.7347317219029 494.45260375238763 159.10864036846186 488.8265123989466 L 137.89543693286544 510.039715834543 Z" stroke-opacity="0.6" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><text fill="rgb(0,0,0)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="16px" font-style="normal" font-weight="normal" text-decoration="normal" x="151" y="508" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">α</text><text fill="rgb(0,0,0)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="16px" font-style="normal" font-weight="normal" text-decoration="normal" x="186" y="301" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">l = 15</text><path fill="none" stroke="rgb(0,0,0)" paint-order="fill stroke markers" d=" M 204.806499634771 443.12865313263745 L 137.89543693286544 167.24727409035455" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="4"/><path fill="none" stroke="rgb(21,101,192)" paint-order="fill stroke markers" d=" M 137.89543693286544 167.24727409035455 L 194.6713563403643 167.24727409035455" stroke-opacity="0.8" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="none" stroke="rgb(21,101,192)" paint-order="fill stroke markers" d=" M 194.6713563403643 167.24727409035455 L 194.6713563403643 34.77012880619054" stroke-opacity="0.8" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="none" stroke="rgb(21,101,192)" paint-order="fill stroke markers" d=" M 194.6713563403643 34.77012880619054 L 81.11951752536659 34.77012880619054" stroke-opacity="0.8" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="none" stroke="rgb(21,101,192)" paint-order="fill stroke markers" d=" M 81.11951752536659 34.77012880619054 L 81.11951752536659 167.24727409035455" stroke-opacity="0.8" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="none" stroke="rgb(21,101,192)" paint-order="fill stroke markers" d=" M 81.11951752536659 167.24727409035455 L 137.89543693286544 167.24727409035455" stroke-opacity="0.8" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="none" stroke="rgb(21,101,192)" paint-order="fill stroke markers" d=" M 137.89543693286544 167.24727409035455 L 137.89543693286544 167.24727409035455" stroke-opacity="0.8" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="none" stroke="rgb(0,0,0)" paint-order="fill stroke markers" d=" M 137.89543693286544 510.039715834543 L 204.806499634771 443.12865313263745" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="4"/><text fill="rgb(199,80,0)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="16px" font-style="normal" font-weight="normal" text-decoration="normal" x="141" y="436" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">cos</text><path fill="none" stroke="rgb(199,80,0)" paint-order="fill stroke markers" d=" M 204.806499634771 443.12865313263745 L 137.89543693286544 443.12865313263745" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><text fill="rgb(199,80,0)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="16px" font-style="normal" font-weight="normal" text-decoration="normal" x="179" y="507" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">sin</text><path fill="none" stroke="rgb(199,80,0)" paint-order="fill stroke markers" d=" M 204.806499634771 443.12865313263745 L 204.806499634771 510.039715834543" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><text fill="rgb(199,80,0)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="16px" font-style="normal" font-weight="normal" text-decoration="normal" x="144" y="358" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">h</text><path fill="none" stroke="rgb(199,80,0)" paint-order="fill stroke markers" d=" M 137.89543693286544 443.12865313263745 L 137.89543693286544 167.24727409035455" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="rgb(21,101,192)" stroke="none" paint-order="stroke fill markers" d=" M 209.806499634771 443.12865313263745 C 209.806499634771 445.8900768817914 207.56792338392498 448.12865313263745 204.806499634771 448.12865313263745 C 202.04507588561702 448.12865313263745 199.806499634771 445.8900768817914 199.806499634771 443.12865313263745 C 199.806499634771 440.3672293834835 202.04507588561702 438.12865313263745 204.806499634771 438.12865313263745 C 207.56792338392498 438.12865313263745 209.806499634771 440.3672293834835 209.806499634771 443.12865313263745 Z" fill-opacity="1"/><path fill="none" stroke="rgb(0,0,0)" paint-order="fill stroke markers" d=" M 209.806499634771 443.12865313263745 C 209.806499634771 445.8900768817914 207.56792338392498 448.12865313263745 204.806499634771 448.12865313263745 C 202.04507588561702 448.12865313263745 199.806499634771 445.8900768817914 199.806499634771 443.12865313263745 C 199.806499634771 440.3672293834835 202.04507588561702 438.12865313263745 204.806499634771 438.12865313263745 C 207.56792338392498 438.12865313263745 209.806499634771 440.3672293834835 209.806499634771 443.12865313263745 Z" stroke-opacity="1" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/><text fill="rgb(21,101,192)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="16px" font-style="normal" font-weight="normal" text-decoration="normal" x="209" y="433" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">P</text><path fill="rgb(21,101,192)" stroke="none" paint-order="stroke fill markers" d=" M 142.89543693286544 167.24727409035455 C 142.89543693286544 170.00869783950853 140.6568606820194 172.24727409035455 137.89543693286544 172.24727409035455 C 135.13401318371146 172.24727409035455 132.89543693286544 170.00869783950853 132.89543693286544 167.24727409035455 C 132.89543693286544 164.48585034120057 135.13401318371146 162.24727409035455 137.89543693286544 162.24727409035455 C 140.6568606820194 162.24727409035455 142.89543693286544 164.48585034120057 142.89543693286544 167.24727409035455 Z" fill-opacity="1"/><path fill="none" stroke="rgb(0,0,0)" paint-order="fill stroke markers" d=" M 142.89543693286544 167.24727409035455 C 142.89543693286544 170.00869783950853 140.6568606820194 172.24727409035455 137.89543693286544 172.24727409035455 C 135.13401318371146 172.24727409035455 132.89543693286544 170.00869783950853 132.89543693286544 167.24727409035455 C 132.89543693286544 164.48585034120057 135.13401318371146 162.24727409035455 137.89543693286544 162.24727409035455 C 140.6568606820194 162.24727409035455 142.89543693286544 164.48585034120057 142.89543693286544 167.24727409035455 Z" stroke-opacity="1" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/><text fill="rgb(21,101,192)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="16px" font-style="normal" font-weight="normal" text-decoration="normal" x="145" y="160" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">K</text><path fill="rgb(21,101,192)" stroke="none" paint-order="stroke fill markers" d=" M 142.89543693286544 510.039715834543 C 142.89543693286544 512.801139583697 140.6568606820194 515.039715834543 137.89543693286544 515.039715834543 C 135.13401318371146 515.039715834543 132.89543693286544 512.801139583697 132.89543693286544 510.039715834543 C 132.89543693286544 507.27829208538907 135.13401318371146 505.039715834543 137.89543693286544 505.039715834543 C 140.6568606820194 505.039715834543 142.89543693286544 507.27829208538907 142.89543693286544 510.039715834543 Z" fill-opacity="1"/><path fill="none" stroke="rgb(0,0,0)" paint-order="fill stroke markers" d=" M 142.89543693286544 510.039715834543 C 142.89543693286544 512.801139583697 140.6568606820194 515.039715834543 137.89543693286544 515.039715834543 C 135.13401318371146 515.039715834543 132.89543693286544 512.801139583697 132.89543693286544 510.039715834543 C 132.89543693286544 507.27829208538907 135.13401318371146 505.039715834543 137.89543693286544 505.039715834543 C 140.6568606820194 505.039715834543 142.89543693286544 507.27829208538907 142.89543693286544 510.039715834543 Z" stroke-opacity="1" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/></g></g></svg>

Kolben und Pleuel.ggb

Author

...	...	@@ -1,0 +1,1 @@
	1	+XWiki.holgerengels

Größe

...	...	@@ -1,0 +1,1 @@
	1	+57.9 KB

Inhalt

Kolben und Pleuel.svg

Author

...	...	@@ -1,0 +1,1 @@
	1	+XWiki.holgerengels

Größe

...	...	@@ -1,0 +1,1 @@
	1	+14.0 KB

Inhalt

...	...	@@ -1,0 +1,1 @@
	1	+<svg version="1.1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="287" height="626"><defs><clipPath id="AHavxFtiimHc"><path fill="none" stroke="none" d=" M 0 0 L 287 0 L 287 626 L 0 626 L 0 0 Z"/></clipPath></defs><g transform="scale(1,1)" clip-path="url(#AHavxFtiimHc)"><g><rect fill="rgb(255,255,255)" stroke="none" x="0" y="0" width="288" height="627" fill-opacity="1"/><path fill="none" stroke="rgb(180,179,186)" paint-order="fill stroke markers" d=" M 43.5 0.5 L 43.5 626.5 M 43.5 0.5 L 43.5 626.5 M 232.5 0.5 L 232.5 626.5" stroke-opacity="1" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/><path fill="none" stroke="rgb(180,179,186)" paint-order="fill stroke markers" d=" M 5.5 0.5 L 5.5 626.5 M 24.5 0.5 L 24.5 626.5 M 62.5 0.5 L 62.5 626.5 M 81.5 0.5 L 81.5 626.5 M 100.5 0.5 L 100.5 626.5 M 118.5 0.5 L 118.5 626.5 M 156.5 0.5 L 156.5 626.5 M 175.5 0.5 L 175.5 626.5 M 194.5 0.5 L 194.5 626.5 M 213.5 0.5 L 213.5 626.5 M 251.5 0.5 L 251.5 626.5 M 270.5 0.5 L 270.5 626.5" stroke-opacity="0.23529411764705882" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/><path fill="none" stroke="rgb(180,179,186)" paint-order="fill stroke markers" d=" M 0.5 36.5 L 287.5 36.5 M 0.5 36.5 L 287.5 36.5 M 0.5 131.5 L 287.5 131.5 M 0.5 226.5 L 287.5 226.5 M 0.5 320.5 L 287.5 320.5 M 0.5 415.5 L 287.5 415.5 M 0.5 604.5 L 287.5 604.5" stroke-opacity="1" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/><path fill="none" stroke="rgb(180,179,186)" paint-order="fill stroke markers" d=" M 0.5 17.5 L 287.5 17.5 M 0.5 17.5 L 287.5 17.5 M 0.5 55.5 L 287.5 55.5 M 0.5 74.5 L 287.5 74.5 M 0.5 93.5 L 287.5 93.5 M 0.5 112.5 L 287.5 112.5 M 0.5 150.5 L 287.5 150.5 M 0.5 169.5 L 287.5 169.5 M 0.5 188.5 L 287.5 188.5 M 0.5 207.5 L 287.5 207.5 M 0.5 245.5 L 287.5 245.5 M 0.5 264.5 L 287.5 264.5 M 0.5 282.5 L 287.5 282.5 M 0.5 301.5 L 287.5 301.5 M 0.5 339.5 L 287.5 339.5 M 0.5 358.5 L 287.5 358.5 M 0.5 377.5 L 287.5 377.5 M 0.5 396.5 L 287.5 396.5 M 0.5 434.5 L 287.5 434.5 M 0.5 453.5 L 287.5 453.5 M 0.5 472.5 L 287.5 472.5 M 0.5 491.5 L 287.5 491.5 M 0.5 528.5 L 287.5 528.5 M 0.5 547.5 L 287.5 547.5 M 0.5 566.5 L 287.5 566.5 M 0.5 585.5 L 287.5 585.5 M 0.5 623.5 L 287.5 623.5" stroke-opacity="0.23529411764705882" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/><path fill="none" stroke="rgb(28,28,31)" paint-order="fill stroke markers" d=" M 137.5 2.5 L 137.5 626.5" stroke-opacity="1" stroke-miterlimit="10"/><path fill="none" stroke="rgb(28,28,31)" paint-order="fill stroke markers" d=" M 137.5 1.5 L 133.5 5.5" stroke-opacity="1" stroke-miterlimit="10"/><path fill="none" stroke="rgb(28,28,31)" paint-order="fill stroke markers" d=" M 137.5 1.5 L 141.5 5.5" stroke-opacity="1" stroke-miterlimit="10"/><path fill="none" stroke="rgb(28,28,31)" paint-order="fill stroke markers" d=" M 0.5 510.5 L 285.5 510.5" stroke-opacity="1" stroke-miterlimit="10"/><path fill="none" stroke="rgb(28,28,31)" paint-order="fill stroke markers" d=" M 286.5 510.5 L 282.5 506.5" stroke-opacity="1" stroke-miterlimit="10"/><path fill="none" stroke="rgb(28,28,31)" paint-order="fill stroke markers" d=" M 286.5 510.5 L 282.5 514.5" stroke-opacity="1" stroke-miterlimit="10"/><text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="38" y="526" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">–5</text><text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="230" y="526" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">5</text><text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="117" y="609" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">–5</text><text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="123" y="420" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">5</text><text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="117" y="325" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">10</text><text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="117" y="231" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">15</text><text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="117" y="136" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">20</text><text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="117" y="41" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">25</text><text fill="rgb(28,28,31)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="12px" font-style="normal" font-weight="normal" text-decoration="normal" x="123" y="526" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">0</text><path fill="rgb(21,101,192)" stroke="none" paint-order="stroke fill markers" fill-rule="evenodd" d=" M 137.89543693286544 167.24727409035455 L 194.6713563403643 167.24727409035455 L 194.6713563403643 34.77012880619054 L 81.11951752536659 34.77012880619054 L 81.11951752536659 167.24727409035455 L 137.89543693286544 167.24727409035455 Z" fill-opacity="0.09803921568627451"/><path fill="none" stroke="rgb(0,0,0)" paint-order="fill stroke markers" d=" M 232.52196927869687 510.039715834543 C 232.52196927869687 562.300506578516 190.1562276768384 604.6662481803744 137.89543693286544 604.6662481803744 C 85.63464618889245 604.6662481803744 43.268904587034015 562.300506578516 43.268904587034015 510.039715834543 C 43.268904587034015 457.77892509057 85.63464618889245 415.4131834887116 137.89543693286544 415.4131834887116 C 190.1562276768384 415.4131834887116 232.52196927869687 457.77892509057 232.52196927869687 510.039715834543 Z" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="rgb(0,0,0)" stroke="none" paint-order="stroke fill markers" d=" M 167.89543693286544 510.039715834543 C 167.89543693286544 502.0832211393567 164.7347317219029 494.45260375238763 159.10864036846186 488.8265123989466 L 137.89543693286544 510.039715834543 Z" fill-opacity="0.09803921568627451"/><path fill="none" stroke="rgb(0,0,0)" paint-order="fill stroke markers" d=" M 167.89543693286544 510.039715834543 C 167.89543693286544 502.0832211393567 164.7347317219029 494.45260375238763 159.10864036846186 488.8265123989466 L 137.89543693286544 510.039715834543 Z" stroke-opacity="0.6" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><text fill="rgb(0,0,0)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="16px" font-style="normal" font-weight="normal" text-decoration="normal" x="151" y="508" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">α</text><text fill="rgb(0,0,0)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="16px" font-style="normal" font-weight="normal" text-decoration="normal" x="186" y="301" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">l = 15</text><path fill="none" stroke="rgb(0,0,0)" paint-order="fill stroke markers" d=" M 204.806499634771 443.12865313263745 L 137.89543693286544 167.24727409035455" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="4"/><path fill="none" stroke="rgb(21,101,192)" paint-order="fill stroke markers" d=" M 137.89543693286544 167.24727409035455 L 194.6713563403643 167.24727409035455" stroke-opacity="0.8" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="none" stroke="rgb(21,101,192)" paint-order="fill stroke markers" d=" M 194.6713563403643 167.24727409035455 L 194.6713563403643 34.77012880619054" stroke-opacity="0.8" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="none" stroke="rgb(21,101,192)" paint-order="fill stroke markers" d=" M 194.6713563403643 34.77012880619054 L 81.11951752536659 34.77012880619054" stroke-opacity="0.8" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="none" stroke="rgb(21,101,192)" paint-order="fill stroke markers" d=" M 81.11951752536659 34.77012880619054 L 81.11951752536659 167.24727409035455" stroke-opacity="0.8" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="none" stroke="rgb(21,101,192)" paint-order="fill stroke markers" d=" M 81.11951752536659 167.24727409035455 L 137.89543693286544 167.24727409035455" stroke-opacity="0.8" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="none" stroke="rgb(21,101,192)" paint-order="fill stroke markers" d=" M 137.89543693286544 167.24727409035455 L 137.89543693286544 167.24727409035455" stroke-opacity="0.8" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="2.5"/><path fill="none" stroke="rgb(0,0,0)" paint-order="fill stroke markers" d=" M 137.89543693286544 510.039715834543 L 204.806499634771 443.12865313263745" stroke-opacity="0.6980392156862745" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" stroke-width="4"/><path fill="rgb(21,101,192)" stroke="none" paint-order="stroke fill markers" d=" M 209.806499634771 443.12865313263745 C 209.806499634771 445.8900768817914 207.56792338392498 448.12865313263745 204.806499634771 448.12865313263745 C 202.04507588561702 448.12865313263745 199.806499634771 445.8900768817914 199.806499634771 443.12865313263745 C 199.806499634771 440.3672293834835 202.04507588561702 438.12865313263745 204.806499634771 438.12865313263745 C 207.56792338392498 438.12865313263745 209.806499634771 440.3672293834835 209.806499634771 443.12865313263745 Z" fill-opacity="1"/><path fill="none" stroke="rgb(0,0,0)" paint-order="fill stroke markers" d=" M 209.806499634771 443.12865313263745 C 209.806499634771 445.8900768817914 207.56792338392498 448.12865313263745 204.806499634771 448.12865313263745 C 202.04507588561702 448.12865313263745 199.806499634771 445.8900768817914 199.806499634771 443.12865313263745 C 199.806499634771 440.3672293834835 202.04507588561702 438.12865313263745 204.806499634771 438.12865313263745 C 207.56792338392498 438.12865313263745 209.806499634771 440.3672293834835 209.806499634771 443.12865313263745 Z" stroke-opacity="1" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/><text fill="rgb(21,101,192)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="16px" font-style="normal" font-weight="normal" text-decoration="normal" x="209" y="433" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">P</text><path fill="rgb(21,101,192)" stroke="none" paint-order="stroke fill markers" d=" M 142.89543693286544 167.24727409035455 C 142.89543693286544 170.00869783950853 140.6568606820194 172.24727409035455 137.89543693286544 172.24727409035455 C 135.13401318371146 172.24727409035455 132.89543693286544 170.00869783950853 132.89543693286544 167.24727409035455 C 132.89543693286544 164.48585034120057 135.13401318371146 162.24727409035455 137.89543693286544 162.24727409035455 C 140.6568606820194 162.24727409035455 142.89543693286544 164.48585034120057 142.89543693286544 167.24727409035455 Z" fill-opacity="1"/><path fill="none" stroke="rgb(0,0,0)" paint-order="fill stroke markers" d=" M 142.89543693286544 167.24727409035455 C 142.89543693286544 170.00869783950853 140.6568606820194 172.24727409035455 137.89543693286544 172.24727409035455 C 135.13401318371146 172.24727409035455 132.89543693286544 170.00869783950853 132.89543693286544 167.24727409035455 C 132.89543693286544 164.48585034120057 135.13401318371146 162.24727409035455 137.89543693286544 162.24727409035455 C 140.6568606820194 162.24727409035455 142.89543693286544 164.48585034120057 142.89543693286544 167.24727409035455 Z" stroke-opacity="1" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/><text fill="rgb(21,101,192)" stroke="none" font-family="geogebra-sans-serif, sans-serif" font-size="16px" font-style="normal" font-weight="normal" text-decoration="normal" x="145" y="160" text-anchor="start" dominant-baseline="alphabetic" fill-opacity="1">K</text><path fill="rgb(21,101,192)" stroke="none" paint-order="stroke fill markers" d=" M 142.89543693286544 510.039715834543 C 142.89543693286544 512.801139583697 140.6568606820194 515.039715834543 137.89543693286544 515.039715834543 C 135.13401318371146 515.039715834543 132.89543693286544 512.801139583697 132.89543693286544 510.039715834543 C 132.89543693286544 507.27829208538907 135.13401318371146 505.039715834543 137.89543693286544 505.039715834543 C 140.6568606820194 505.039715834543 142.89543693286544 507.27829208538907 142.89543693286544 510.039715834543 Z" fill-opacity="1"/><path fill="none" stroke="rgb(0,0,0)" paint-order="fill stroke markers" d=" M 142.89543693286544 510.039715834543 C 142.89543693286544 512.801139583697 140.6568606820194 515.039715834543 137.89543693286544 515.039715834543 C 135.13401318371146 515.039715834543 132.89543693286544 512.801139583697 132.89543693286544 510.039715834543 C 132.89543693286544 507.27829208538907 135.13401318371146 505.039715834543 137.89543693286544 505.039715834543 C 140.6568606820194 505.039715834543 142.89543693286544 507.27829208538907 142.89543693286544 510.039715834543 Z" stroke-opacity="1" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10"/></g></g></svg>