L. Locher-Ernst's Arithmetik und Algebra: Aufgaben PDF

By L. Locher-Ernst

ISBN-10: 3034859961

ISBN-13: 9783034859967

ISBN-10: 3764307749

ISBN-13: 9783764307745

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In der für q resultierenden Gleichung führe man die neue Unbekannte" = q2 ein. Die Gleichung für" dividiere man durch ,,2 und setze 1 x - - =t x 20. 21. 22. 23. 24. ' also Jetzt tausrechnen usw. ) Das Gewicht einer Hohlkugel der Wandstärke w beträgt G. Spezifisches Gewicht des Materials ist s. Äusserer Durchmesser? Mit welcher Zirkelöffnung hat man auf einer Kugel vom Radius R einen Kreis zu beschreiben, wenn dessen wahrer Radius den Wert r haben soll? Zum Beispiel R = 1 m, r = 50 cm. Eine Kugelschicht mit gleichgrossen Grenzkreisen hat die Höhe h und das Volumen n a3• Kugelradius ?

3. (x y Z)9, a ll bll cu. 4. u s, u S , vS, u 2 v 4 • 5. 2. 6. 10. 7. 0 und 4. 3. Gruppe 1. (2 u 3 + 3 V 2 )6 = ? 2. Man bestimme das vierte Glied in der Entwicklung von (5 a 2 + 3 b3 )7. 3. Man berechne die Summe aller Teiler von 2160. Locher 4 50 Prüfungsaufgaben 4. x3 + 10 x 2 + 600 x 5. x3)3 + (1 + Xl)' = ? + 98 000 für x = 23. Lösungen: 1. 64 U 18 + 576 u 16 v 2 + 2160 u 12 v 4 + 4320 u 9 v 6 + 4860 u 6 v 8 + 2916 u 3 vlO + 729 v12 • 2. 590625 a8 b9 • 3. 7440. 4. 45 500 000. 5. x 9 + 2 x 8 + 7 x 6 + 8 x 4 + 3 x 3 + 4 x 2 + 3.

A (a - 1)2 (a 2 + a + 1), a (a - 1) (a + 1) (a 2 + a + 1), a (1 - a) (1 + a) (a 2 - a + 1). 17. aB (a - 1) (a + 1)2 (a 2 + 1), a 2 (a "':"1) (a' + 1). 101'9901. 5·13'37'109,5·397·2113. Gruppe F: 1. 45, 8, 140, q r, pr, p q, r, (p + q) r, p q + q r + r p. 2. 2 und 5, 4 und 10, ... bzw. 7 und 8 und 12, 14 und 16 und 24, .... 6 • n n + l' 7 1 10. , . __ ~~-t2)__ • 4 (n + 1) (n + 2) 1 11. , . 8 1 12. 'nI (n • n 2nD' + 1) 9 . (3 n + 2) (n - 1) 4 n (n + 1) 1 13. ,. n. ::t-~~~_ 987 + 1597 x . 21 + 34 x' 610 + 987 x .

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Arithmetik und Algebra: Aufgaben by L. Locher-Ernst


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