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- Tyngdpunkt hos en läskburk_lärarstöd.pdf
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- Matematik: Ma 4: Derivator och integraler
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Texas Instruments
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Gymnasium
Aktivitetslängd

90 Minutes
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- TI-Nspire CX CAS
- TI-Nspire™ CAS
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TI-Nspire™ CX CAS
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Tyngdpunkt hos en läskburk

Aktivitetsöversikt

Tyngdpunkten hos en oöppnad burk läsk ligger på halva höjden. När man börjar dricka sjunker tyngd-
punkten. När burken sedan är tom ligger tyngdpunkten åter på halva höjden. Hur är det möjligt? Kommer tyngdpunkten någonsin att nå botten av burken?
Detta leder till slut till följande frågeställning: Hur beror tyngdpunktens läge på mängden läsk i burken?

Detta är en ganska utmanande CAS-intensiv aktivitet och den innehåller en hel del algebraiska omskrivningar och förenklingar av långa uttryck.

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Tyngdpunkt hos en läskburk

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