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Rang	Thema	Aufgabe	Formatierte Aufgabe
1101	Finde die Asymptoten	f(x)=(2x^2+1)/x	$f (x) = \frac{2 x^{2} + 1}{x}$
1102	Löse durch Anwendung der Quadratformel	4x^2-4x=11	$4 x^{2} - 4 x = 11$
1103	Löse durch Anwendung der Quadratformel	5x=3x^2+1	$5 x = 3 x^{2} + 1$
1104	Löse durch Anwendung der Quadratformel	7x^2+71x+72=0	$7 x^{2} + 71 x + 72 = 0$
1105	Berechne die Quadratwurzel	Quadratwurzel von 6	$\sqrt{6}$
1106	Berechne die Quadratwurzel	Quadratwurzel von 15	$\sqrt{15}$
1107	?의 함수로 표현하기	sin(x)=( Quadratwurzel von 2)/2	$\sin (x) = \frac{\sqrt{2}}{2}$
1108	y의 함수로 표현하기	x^2+y^2=25	$x^{2} + y^{2} = 25$
1109	x의 함수로 표현하기	x+y^3=8	$x + y^{3} = 8$
1110	y의 함수로 표현하기	y=x^2+0.2sin(50x)	$y = x^{2} + 0.2 \sin (50 x)$
1111	y의 함수로 표현하기	y = square root of x-4	$y = \sqrt{x - 4}$
1112	Faktor	x^3-3x^2+12x-10	$x^{3} - 3 x^{2} + 12 x - 10$
1113	Faktor	x^3+5x^2-25x-125	$x^{3} + 5 x^{2} - 25 x - 125$
1114	Faktor	u^2v^2-225	$u^{2} v^{2} - 225$
1115	Faktor	x^(-3/2)+2x^(-1/2)+x^(1/2)	$x^{- \frac{3}{2}} + 2 x^{- \frac{1}{2}} + x^{\frac{1}{2}}$
1116	Faktor	n^2-8n-72	$n^{2} - 8 n - 72$
1117	Faktor	csc(x)^3-csc(x)^2-csc(x)+1	$\csc^{3} (x) - \csc^{2} (x) - \csc (x) + 1$
1118	Faktor	a^12-b^3	$a^{12} - b^{3}$
1119	Faktor	(x+2)^2-(x+2)-42	${(x + 2)}^{2} - (x + 2) - 42$
1120	Faktor	12x^3+18x	$12 x^{3} + 18 x$
1121	Faktor	x^4+3x^2-40	$x^{4} + 3 x^{2} - 40$
1122	Faktor	x^4-2x^3+13x^2-32x-48	$x^{4} - 2 x^{3} + 13 x^{2} - 32 x - 48$
1123	Faktor	x^3-8x^2+17x-10	$x^{3} - 8 x^{2} + 17 x - 10$
1124	Faktor	x^3-5x^2+3x-2	$x^{3} - 5 x^{2} + 3 x - 2$
1125	Faktor	2x^3-9x^2-6x+5	$2 x^{3} - 9 x^{2} - 6 x + 5$
1126	Faktor	20x^3-8x^2-5x+2	$20 x^{3} - 8 x^{2} - 5 x + 2$
1127	Faktor	27s^3-64t^3	$27 s^{3} - 64 t^{3}$
1128	Faktor	2x^2+6x-1	$2 x^{2} + 6 x - 1$
1129	Faktor	(x^2+2)^(5/2)+2x(x^2+2)^(3/2)+x^2 Quadratwurzel von x^2+2	${(x^{2} + 2)}^{\frac{5}{2}} + 2 x {(x^{2} + 2)}^{\frac{3}{2}} + x^{2} \sqrt{x^{2} + 2}$
1130	Faktor	(3x+2)^2+8(3x+2)+12	${(3 x + 2)}^{2} + 8 (3 x + 2) + 12$
1131	Bestimme den Grad	y	$y$
1132	Bestimme den Grad	(8pi)/5	$\frac{8 π}{5}$
1133	Bestimme den Grad	(9pi)/10	$\frac{9 π}{10}$
1134	제IV사분면에서의 다른 삼각함수 값 구하기	sin(x)=-( Quadratwurzel von 3)/2	$\sin (x) = - \frac{\sqrt{3}}{2}$
1135	제IV사분면에서의 다른 삼각함수 값 구하기	cos(x)=8/17	$\cos (x) = \frac{8}{17}$
1136	제III사분면에서의 다른 삼각함수 값 구하기	cot(x)=12/5	$\cot (x) = \frac{12}{5}$
1137	제I사분면에서의 다른 삼각함수 값 구하기	sin(x)=4/7	$\sin (x) = \frac{4}{7}$
1138	제I사분면에서의 다른 삼각함수 값 구하기	sin(x)=1/3	$\sin (x) = \frac{1}{3}$
1139	Finde die Asymptoten	y=sin(x)	$y = \sin (x)$
1140	Ermittle die Nullstellen und ihre Multiplizitäten	2x^2(x-1)(x+2)^3(x^2+1)^2	$2 x^{2} (x - 1) {(x + 2)}^{3} {(x^{2} + 1)}^{2}$
1141	Finde die Asymptoten	y=4/x	$y = \frac{4}{x}$
1142	Finde die Asymptoten	y=4^x	$y = 4^{x}$
1143	Finde die Asymptoten	y=(x^3)/(x^2+4)	$y = \frac{x^{3}}{x^{2} + 4}$
1144	Finde die Asymptoten	y=(1/2)^x	$y = {(\frac{1}{2})}^{x}$
1145	y 구하기	y^(4/5)=34	$y^{\frac{4}{5}} = 34$
1146	x 구하기	sin(x)cos(x)=1/4	$\sin (x) \cos (x) = \frac{1}{4}$
1147	x 구하기	sin(x) = square root of 3-sin(x)	$\sin (x) = \sqrt{3} - \sin (x)$
1148	x 구하기	sin(x)+cos(x)=1	$\sin (x) + \cos (x) = 1$
1149	x 구하기	sin(3x)=( Quadratwurzel von 2)/2	$\sin (3 x) = \frac{\sqrt{2}}{2}$
1150	x 구하기	sin(x/2-pi/4)=1/2	$\sin (\frac{x}{2} - \frac{π}{4}) = \frac{1}{2}$
1151	x 구하기	tan(2x)- Quadratwurzel von 3=0	$\tan (2 x) - \sqrt{3} = 0$
1152	x 구하기	x+10/x=7	$x + \frac{10}{x} = 7$
1153	x 구하기	x+1/x=2	$x + \frac{1}{x} = 2$
1154	x 구하기	x+(4x)/(x-3)=12/(x-3)	$x + \frac{4 x}{x - 3} = \frac{12}{x - 3}$
1155	x 구하기	x+2=15/x	$x + 2 = \frac{15}{x}$
1156	x 구하기	7 logarithmische Basis 4 von 0.6x=12	$7 \log_{4} (0.6 x) = 12$
1157	x 구하기	cos(x/2)=( Quadratwurzel von 2)/2	$\cos (\frac{x}{2}) = \frac{\sqrt{2}}{2}$
1158	x 구하기	natürlicher Logarithmus von 1/e=x	$\ln (\frac{1}{e}) = x$
1159	x 구하기	cot(x)+1=0	$\cot (x) + 1 = 0$
1160	x 구하기	cot(x/2)=0	$\cot (\frac{x}{2}) = 0$
1161	x 구하기	cot(x)cos(x)^2=2cot(x)	$\cot (x) \cos^{2} (x) = 2 \cot (x)$
1162	x 구하기	csc(x)=2/( Quadratwurzel von 3)	$\csc (x) = \frac{2}{\sqrt{3}}$
1163	x 구하기	csc(x) = square root of 2	$\csc (x) = \sqrt{2}$
1164	x 구하기	natürlicher Logarithmus von x+ natürlicher Logarithmus von x+6=1/2* natürlicher Logarithmus von 9	$\ln (x) + \ln (x + 6) = \frac{1}{2} \cdot \ln (9)$
1165	x 구하기	natürlicher Logarithmus von x^2-x = natürlicher Logarithmus von 6	$\ln (x^{2} - x) = \ln (6)$
1166	x 구하기	natürlicher Logarithmus von 4+x=2	$\ln (4 + x) = 2$
1167	x 구하기	natürlicher Logarithmus von x+9 = natürlicher Logarithmus von x+ natürlicher Logarithmus von 9	$\ln (x + 9) = \ln (x) + \ln (9)$
1168	x 구하기	natürlicher Logarithmus von x+3 = natürlicher Logarithmus von x+ natürlicher Logarithmus von 3	$\ln (x + 3) = \ln (x) + \ln (3)$
1169	x 구하기	natürlicher Logarithmus von x-3+ natürlicher Logarithmus von x+4=1	$\ln (x - 3) + \ln (x + 4) = 1$
1170	x 구하기	natürlicher Logarithmus von x-2- natürlicher Logarithmus von x+2 = natürlicher Logarithmus von x-1- natürlicher Logarithmus von 2x+1	$\ln (x - 2) - \ln (x + 2) = \ln (x - 1) - \ln (2 x + 1)$
1171	x 구하기	x^2-7x-10=-2x-4	$x^{2} - 7 x - 10 = - 2 x - 4$
1172	x 구하기	Logarithmus von x-2+ Logarithmus von x+5=2 Logarithmus von 3	$\log (x - 2) + \log (x + 5) = 2 \log (3)$
1173	x 구하기	Logarithmus von x+7=1	$\log (x + 7) = 1$
1174	x 구하기	sec(x)=-(2 Quadratwurzel von 3)/3	$\sec (x) = - \frac{2 \sqrt{3}}{3}$
1175	x 구하기	logarithmische Basis x- Logarithmus von 2x-1=0	$\log (x) - \log (2 x - 1) = 0$
1176	x 구하기	\|x+4\|=\|2x+1\|	$\| x + 4 \| = \| 2 x + 1 \|$
1177	x 구하기	Logarithmus von x=x^2-1	$\log (x) = x^{2} - 1$
1178	x 구하기	logarithmische Basis 3x+7+ Logarithmus von x-2=1	$\log (3 x + 7) + \log (x - 2) = 1$
1179	x 구하기	8x^2+14x=0	$8 x^{2} + 14 x = 0$
1180	x 구하기	Logarithmus von x^2-3x=1	$\log (x^{2} - 3 x) = 1$
1181	x 구하기	Logarithmus von 1-x = Logarithmus von 10	$\log (1 - x) = \log (10)$
1182	p 구하기	-5p-8=-(2p-2)+5(-8-p)	$- 5 p - 8 = - (2 p - 2) + 5 (- 8 - p)$
1183	t 구하기	(t-1)(t-4)=(t+1)^2	$(t - 1) (t - 4) = {(t + 1)}^{2}$
1184	z 구하기	z/5=3/10z+7	$\frac{z}{5} = \frac{3}{10} z + 7$
1185	a 구하기	h=bt+1/2*(at^2)	$h = b t + \frac{1}{2} \cdot (a t^{2})$
1186	y 구하기	y^5-18y^4+6y^3=0	$y^{5} - 18 y^{4} + 6 y^{3} = 0$
1187	y 구하기	y+6/y=5	$y + \frac{6}{y} = 5$
1188	Vereinfache	(e^x+e^(-x))(e^x-e^(-x))-(e^x-e^(-x))^2	$(e^{x} + e^{- x}) (e^{x} - e^{- x}) - {(e^{x} - e^{- x})}^{2}$
1189	Vereinfache	-(3/2+5/2i)+(5/3+11/3i)	$- (\frac{3}{2} + \frac{5}{2} \cdot i) + (\frac{5}{3} + \frac{11}{3} \cdot i)$
1190	Vereinfache	(x^(5/2)+y^(5/2))(x^(5/2)-y^(5/2))	$(x^{\frac{5}{2}} + y^{\frac{5}{2}}) (x^{\frac{5}{2}} - y^{\frac{5}{2}})$
1191	Vereinfache	(2x-5)(x^2-x+1)	$(2 x - 5) (x^{2} - x + 1)$
1192	x 구하기	x/(2x+7)-(x+1)/(x+3)=1	$\frac{x}{2 x + 7} - \frac{x + 1}{x + 3} = 1$
1193	x 구하기	x^(-2/3)=4	$x^{- \frac{2}{3}} = 4$
1194	x 구하기	2x^2-2.10x-0.48=0	$2 x^{2} - 2.1 x - 0.48 = 0$
1195	x 구하기	7-3e^(-x)=2	$7 - 3 e^{- x} = 2$
1196	x 구하기	5(1.2)^(3x-2)+1=7	$5 {(1.2)}^{3 x - 2} + 1 = 7$
1197	Vereinfache	(1-2i)^2-(1+2i)^2	${(1 - 2 i)}^{2} - {(1 + 2 i)}^{2}$
1198	Vereinfache	(a^2b^8c^5)^2(a^5c^2)^3(a^-2bc^-1)^3	${(a^{2} b^{8} c^{5})}^{2} {(a^{5} c^{2})}^{3} {(a^{- 2} b c^{- 1})}^{3}$
1199	Vereinfache	(a^3b^12c^2)^2(a^5c^2)^3(b^5c^4)^0	${(a^{3} b^{12} c^{2})}^{2} {(a^{5} c^{2})}^{3} {(b^{5} c^{4})}^{0}$
1200	Vereinfache	(3AB)^-1(A^2B^-1)^2	${(3 A B)}^{- 1} {(A^{2} B^{- 1})}^{2}$