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Beliebte Aufgaben

Rang	Thema	Aufgabe	Formatierte Aufgabe
139001	Löse die Operation auf der Funktion	f(g(4))	$f (g (4))$
139002	Löse die Operation auf der Funktion	(1,-9) , (2,-15) , (3,-29) , (-1,3)	$(1, - 9)$ , $(2, - 15)$ , $(3, - 29)$ , $(- 1, 3)$
139003	Löse die Operation auf der Funktion	g(x)=x-9 , f(x)=(x+2)(x-1) , (g/f)(2)	$g (x) = x - 9$ , $f (x) = (x + 2) (x - 1)$ , $(\frac{g}{f}) (2)$
139004	Löse unter Verwendung einer inversen Matrix	-3x+4y=3x-2y=-4/3	$- 3 x + 4 y = 3 x - 2 y = - \frac{4}{3}$
139005	Löse unter Verwendung einer inversen Matrix	4x+2y=102x-3y=-7	$4 x + 2 y = 102 x - 3 y = - 7$
139006	Löse unter Verwendung einer inversen Matrix	5x+4y=8 , 6x-3y=33	$5 x + 4 y = 8$ , $6 x - 3 y = 33$
139007	Löse unter Verwendung einer inversen Matrix	x-2y+3z=114x+y-z=42x-y+3z=10	$x - 2 y + 3 z = 114 x + y - z = 42 x - y + 3 z = 10$
139008	Bestimme den Definitions- und Wertebereich	y=5^x	$y = 5^{x}$
139009	Bestimme den Definitions- und Wertebereich	y = square root of x+8	$y = \sqrt{x + 8}$
139010	Vereinfache die Matrix	[[-5,1],[-4,-5]]*([[5,-4,2],[-6,3,-6]]+[[3,-5,2],[5,5,3]])	$[\begin{array}{c} - 5 & 1 \\ - 4 & - 5 \end{array}] \cdot ([\begin{array}{c} 5 & - 4 & 2 \\ - 6 & 3 & - 6 \end{array}] + [\begin{array}{c} 3 & - 5 & 2 \\ 5 & 5 & 3 \end{array}])$
139011	Vereinfache die Matrix	[[4,2,3]]*[[-1,4],[0,2],[5,6]]+[[8,-5]]	$[\begin{array}{c} 4 & 2 & 3 \end{array}] \cdot [\begin{array}{c} - 1 & 4 \\ 0 & 2 \\ 5 & 6 \end{array}] + [\begin{array}{c} 8 & - 5 \end{array}]$
139012	Vereinfache die Matrix	[[-7,6,x],[3,y,-4]]=[[m,6,-3],[n,2,p]]	$[\begin{array}{c} - 7 & 6 & x \\ 3 & y & - 4 \end{array}] = [\begin{array}{c} m & 6 & - 3 \\ n & 2 & p \end{array}]$
139013	Vereinfache die Matrix	table[[x,y],[1,4],[2,8],[3,12]]	$\begin{array}{c} x & y \\ 1 & 4 \\ 2 & 8 \\ 3 & 12 \end{array}$
139014	Vereinfache die Matrix	3[[2x,-4y],[x+1,3y-2]]	$3 [\begin{array}{c} 2 x & - 4 y \\ x + 1 & 3 y - 2 \end{array}]$
139015	Vereinfache die Matrix	4[[1,3],[2,6]]+[[0,4],[-1,6]]	$4 [\begin{array}{c} 1 & 3 \\ 2 & 6 \end{array}] + [\begin{array}{c} 0 & 4 \\ - 1 & 6 \end{array}]$
139016	Vereinfache die Matrix	table[[x,y],[-7.5,12],[-3.5,0],[-1,-7.5]]	$\begin{array}{c} x & y \\ - 7.5 & 12 \\ - 3.5 & 0 \\ - 1 & - 7.5 \end{array}$
139017	Vereinfache die Matrix	5[[2,3,4],[9,-1,-7],[11,5,-3]]	$5 [\begin{array}{c} 2 & 3 & 4 \\ 9 & - 1 & - 7 \\ 11 & 5 & - 3 \end{array}]$
139018	Berechne das Integral	Integral über (3x^2+2x) nach x	$\int (3 x^{2} + 2 x) d x$
139019	Vereinfache die Matrix	1/3[[27,-9],[-15,24]]	$\frac{1}{3} [\begin{array}{c} 27 & - 9 \\ - 15 & 24 \end{array}]$
139020	Schreibe als einen Satz von Linearfaktoren	x^5-3x^4+4x^3-32x+48	$x^{5} - 3 x^{4} + 4 x^{3} - 32 x + 48$
139021	Schreibe als einen Satz von Linearfaktoren	x^3-5x^2+12x+18	$x^{3} - 5 x^{2} + 12 x + 18$
139022	중심이 (0,0) 이고 (-4,6) 를 지나는 원 구하기	(0,0) , (-4,6)	$(0, 0) (- 4, 6)$
139023	Bestimme das Produkt	f(x)=x^2-81g(x)=(x-9)^-1(x+9)	$f (x) = x^{2} - 81 g (x) = {(x - 9)}^{- 1} (x + 9)$
139024	Bestimme das Produkt	f(x)=8x+9 g(x)=2x-5	$f (x) = 8 x + 9$ $g (x) = 2 x - 5$
139025	Zeichne die Schnittmenge (und)	6x-21>=-3 , 14x+11<-17	$6 x - 21 \geq - 3$ , $14 x + 11 < - 17$
139026	Finde die maximale Anzahl reeller Nullstellen	F(x)=x^3-3x^2+2	$F (x) = x^{3} - 3 x^{2} + 2$
139027	Bestimme den Grad	theta=(14pi)/9	$θ = \frac{14 π}{9}$
139028	Bestimme den Grad	cos(0)=( Quadratwurzel von 3)/2	$\cos (0) = \frac{\sqrt{3}}{2}$
139029	Bestimme den Grad	sin(x)=1/3	$\sin (x) = \frac{1}{3}$
139030	Bestimme den Grad	tan(x)=3/5	$\tan (x) = \frac{3}{5}$
139031	Bestimme den Grad	x=arctan(13/10)	$x = \arctan (\frac{13}{10})$
139032	Berechne die abschnittsweise Funktion	f(-4)=x^2-5,x<3; 2x+5,x>3	$f (- 4) = {\begin{cases} x^{2} - 5, x < 3 \\ 2 x + 5, x > 3 \end{cases}$
139033	Berechne das Bereichsmittel	91 , 92 , 93 , 97 , 96 , 92	$91$ , $92$ , $93$ , $97$ , $96$ , $92$
139034	Berechne das Bereichsmittel	93 , 94 , 95 , 99 , 98 , 94	$93$ , $94$ , $95$ , $99$ , $98$ , $94$
139035	Berechne das Bereichsmittel	20 , 23 , 28 , 14 , 13 , 24 , 18 , 11	$20$ , $23$ , $28$ , $14$ , $13$ , $24$ , $18$ , $11$
139036	임의의 변수 x로 표현된 해 구하기	3x+6y-z=6x+y+3z=4	$3 x + 6 y - z = 6 x + y + 3 z = 4$
139037	임의의 변수 x로 표현된 해 구하기	x-3y+10z=62x-y+3z=5	$x - 3 y + 10 z = 62 x - y + 3 z = 5$
139038	임의의 변수 x로 표현된 해 구하기	x-2y+7z=62x-y+3z=8	$x - 2 y + 7 z = 62 x - y + 3 z = 8$
139039	임의의 변수 x로 표현된 해 구하기	x-2y+9z=72x-y+4z=5	$x - 2 y + 9 z = 72 x - y + 4 z = 5$
139040	임의의 변수 x로 표현된 해 구하기	x-3y+7z=92x-y+2z=5	$x - 3 y + 7 z = 92 x - y + 2 z = 5$
139041	임의의 변수 x로 표현된 해 구하기	x-3y+7z=72x-y+2z=5	$x - 3 y + 7 z = 72 x - y + 2 z = 5$
139042	임의의 변수 y로 표현된 해 구하기	3/16x-1/2y=5/16-9x+24y=-15	$\frac{3}{16} x - \frac{1}{2} y = \frac{5}{16} - 9 x + 24 y = - 15$
139043	임의의 변수 y로 표현된 해 구하기	5x+6y=3 , 10x+12y=6	$5 x + 6 y = 3$ , $10 x + 12 y = 6$
139044	임의의 변수 y로 표현된 해 구하기	2x-3y=4-4x+6y=-8	$2 x - 3 y = 4 - 4 x + 6 y = - 8$
139045	임의의 변수 y로 표현된 해 구하기	3x+3y=46x+6y=2	$3 x + 3 y = 46 x + 6 y = 2$
139046	Bestimme die Wahrscheinlichkeit mithilfe des z-Scores	0<z<2.00	$0 < z < 2$
139047	임의의 변수 z로 표현된 해 구하기	4x-3y+z=0x+y=0-12x+9y-3z=0	$4 x - 3 y + z = 0 x + y = 0 - 12 x + 9 y - 3 z = 0$
139048	임의의 변수 a로 표현된 해 구하기	a_n=n-5	$a_{n} = n - 5$
139049	임의의 변수 b로 표현된 해 구하기	4p^2+bp+16=0	$4 p^{2} + b p + 16 = 0$
139050	임의의 변수 b로 표현된 해 구하기	4p^2+bp+9=0	$4 p^{2} + b p + 9 = 0$
139051	임의의 변수 b로 표현된 해 구하기	p^2+bp+9=0	$p^{2} + b p + 9 = 0$
139052	임의의 변수 x로 표현된 해 구하기	3x+5y-z=9 , x+y+2z=4	$3 x + 5 y - z = 9$ , $x + y + 2 z = 4$
139053	임의의 변수 r로 표현된 해 구하기	v=pir^2h	$v = π r^{2} h$
139054	Ermittle den Wertebereich	20x+4	$20 x + 4$
139055	Ermittle den Wertebereich	2e^x-1	$2 e^{x} - 1$
139056	Ermittle den Wertebereich	Quadratwurzel von x-4	$\sqrt{x} - 4$
139057	Bestimmen der Faktoren mithilfe des Faktor-Theorems	100x^3-200x^2-81x+162 ; x-2	$100 x^{3} - 200 x^{2} - 81 x + 162$ ; $x - 2$
139058	Finde das absolute Maximum und Minimum im Intervall	f(x)=6x^4-2x^2+5x-1 , [0,1]	$f (x) = 6 x^{4} - 2 x^{2} + 5 x - 1$ , $[0, 1]$
139059	Finde das absolute Maximum und Minimum im Intervall	f(x)=8x^4-3x^2+5x-2 ; [0,1]	$f (x) = 8 x^{4} - 3 x^{2} + 5 x - 2$ ; $[0, 1]$
139060	Bestimmen der Faktoren mithilfe des Faktor-Theorems	x^3-8x^2+17x-30 ; x-6	$x^{3} - 8 x^{2} + 17 x - 30$ ; $x - 6$
139061	Bestimmen der Faktoren mithilfe des Faktor-Theorems	x+4 , x^3+5x^2-2x-24	$x + 4$ , $x^{3} + 5 x^{2} - 2 x - 24$
139062	10th 항 구하기	2 , 10 , 50 , 250 , 1250 , 6250 , 31250 , 156250	$2$ , $10$ , $50$ , $250$ , $1250$ , $6250$ , $31250$ , $156250$
139063	5th 항 구하기	1 , 9 , 17 , 25	$1$ , $9$ , $17$ , $25$
139064	5th 항 구하기	-4/243 , 4/81 , -4/27	$\frac{- 4}{243}$ , $\frac{4}{81}$ , $\frac{- 4}{27}$
139065	5th 항 구하기	1 , 3 , 6 , 10	$1$ , $3$ , $6$ , $10$
139066	Bestimme die mögliche Anzahl reeller Nullstellen	5x^4-4x^3+44x^2-36x-9	$5 x^{4} - 4 x^{3} + 44 x^{2} - 36 x - 9$
139067	Bestimme die mögliche Anzahl reeller Nullstellen	x^3-3x^2+x-3	$x^{3} - 3 x^{2} + x - 3$
139068	Bestimme die mögliche Anzahl reeller Nullstellen	x^3-x^2+9x-9	$x^{3} - x^{2} + 9 x - 9$
139069	Bestimme die mögliche Anzahl reeller Nullstellen	x^3+2x^2-5x-6	$x^{3} + 2 x^{2} - 5 x - 6$
139070	6th 항 구하기	1 , 4 , 9 , 16	$1$ , $4$ , $9$ , $16$
139071	6th 항 구하기	1/81 , 1/27 , 1/9 , 1/3 , 1	$\frac{1}{81}$ , $\frac{1}{27}$ , $\frac{1}{9}$ , $\frac{1}{3}$ , $1$
139072	5th 항 구하기	810 , 270 , 90	$810$ , $270$ , $90$
139073	5th 항 구하기	-80 , -40 , -20	$- 80$ , $- 40$ , $- 20$
139074	5th 항 구하기	6 , 12 , 18	$6$ , $12$ , $18$
139075	5th 항 구하기	8 , 10 , 12 , 14	$8$ , $10$ , $12$ , $14$
139076	6th 항 구하기	2 , 5 , 8 , 11 , 14	$2$ , $5$ , $8$ , $11$ , $14$
139077	6th 항 구하기	1.5 , 0.9 , 0.3 , -0.3	$1.5$ , $0.9$ , $0.3$ , $- 0.3$
139078	6th 항 구하기	10 , -5 , 5/2 , -5/4 , 5/8	$10$ , $- 5$ , $\frac{5}{2}$ , $- \frac{5}{4}$ , $\frac{5}{8}$
139079	6th 항 구하기	10 , -5 , 5/2 , ...	$10$ , $- 5$ , $\frac{5}{2}$ , $\dots$
139080	6th 항 구하기	18 , 6 , 2 , 2/3	$18$ , $6$ , $2$ , $\frac{2}{3}$
139081	6th 항 구하기	12 , 14 , 16 , 18	$12$ , $14$ , $16$ , $18$
139082	6th 항 구하기	12 , 19 , 26 , 33	$12$ , $19$ , $26$ , $33$
139083	6th 항 구하기	-3 , 3 , 9 , 15 , 21	$- 3$ , $3$ , $9$ , $15$ , $21$
139084	6th 항 구하기	20 , 60 , 180 , 540	$20$ , $60$ , $180$ , $540$
139085	6th 항 구하기	3 , -6 , 12 , 4 , 20	$3$ , $- 6$ , $12$ , $4$ , $20$
139086	6th 항 구하기	2 , 8 , 18 , 32 , 50	$2$ , $8$ , $18$ , $32$ , $50$
139087	5th 항 구하기	144 , 36 , 9 , 2.25	$144$ , $36$ , $9$ , $2.25$
139088	5th 항 구하기	2 , 13 , 24 , 35	$2$ , $13$ , $24$ , $35$
139089	5th 항 구하기	10 , 12 , 14 , 16	$10$ , $12$ , $14$ , $16$
139090	5th 항 구하기	12 , 5 , -2 , -9	$12$ , $5$ , $- 2$ , $- 9$
139091	5th 항 구하기	13 , 15 , 17 , 19	$13$ , $15$ , $17$ , $19$
139092	5th 항 구하기	3 , 3/5 , 3/25	$3$ , $\frac{3}{5}$ , $\frac{3}{25}$
139093	5th 항 구하기	-2 , -8 , -32	$- 2$ , $- 8$ , $- 32$
139094	5th 항 구하기	-48 , 12 , -3 , 3/4	$- 48$ , $12$ , $- 3$ , $\frac{3}{4}$
139095	5th 항 구하기	31 , 25 , 19	$31$ , $25$ , $19$
139096	5th 항 구하기	-4 , -12 , -36 , -108	$- 4$ , $- 12$ , $- 36$ , $- 108$
139097	5th 항 구하기	30 , -60 , 120 , -240	$30$ , $- 60$ , $120$ , $- 240$
139098	8th 항 구하기	10 , 20 , 40 , 80 , 160 , 320 , 640	$10$ , $20$ , $40$ , $80$ , $160$ , $320$ , $640$
139099	8th 항 구하기	2 , 6 , 12 , 20 , 30 , 42	$2$ , $6$ , $12$ , $20$ , $30$ , $42$
139100	8th 항 구하기	2 , 6 , 18 , 54 , 162 , 486	$2$ , $6$ , $18$ , $54$ , $162$ , $486$