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Rang	Thema	Aufgabe	Formatierte Aufgabe
301	Bestimme den Definitionsbereich	x/( Quadratwurzel von x-6)	$\frac{x}{\sqrt{x - 6}}$ $\frac{x}{\sqrt{x - 6}}$
302	x 구하기	logarithmische Basis 5 von x-5+ logarithmische Basis 5 von x+15=3	${log}_{5} (x - 5) + {log}_{5} (x + 15) = 3$ $\log_{5} (x - 5) + \log_{5} (x + 15) = 3$
303	Vereinfache	e^(3 natürlicher Logarithmus von x)	$e^{3 ln (x)}$ $e^{3 \ln (x)}$
304	Vereinfache	(-2+i)(3-6i)	$(- 2 + i) (3 - 6 i)$ $(- 2 + i) (3 - 6 i)$
305	Vereinfache	(u^(3/2))^(4/5)	${(u^{\frac{3}{2}})}^{\frac{4}{5}}$ ${(u^{\frac{3}{2}})}^{\frac{4}{5}}$
306	Vereinfache	csc(x)sin(x)	$csc (x) sin (x)$ $\csc (x) \sin (x)$
307	Vereinfache	sin(x)tan(x)	$sin (x) tan (x)$ $\sin (x) \tan (x)$
308	Vereinfache	sin(x)cos(x)sec(x)csc(x)	$sin (x) cos (x) sec (x) csc (x)$ $\sin (x) \cos (x) \sec (x) \csc (x)$
309	Vereinfache	Kubikwurzel aus 135	$\sqrt[3]{135}$ $\sqrt[3]{135}$
310	Vereinfache	1+1/(1+1/(1+x))	$1 + \frac{1}{1 + \frac{1}{1 + x}}$ $1 + \frac{1}{1 + \frac{1}{1 + x}}$
311	Vereinfache	(\|x^2\|)/(x^2)	$\frac{∣ ∣ x^{2} ∣ ∣}{x^{2}}$ $\frac{\| x^{2} \|}{x^{2}}$
312	Vereinfache	(csc(x)sin(x))/(cot(x))	$\frac{csc (x) sin (x)}{cot (x)}$ $\frac{\csc (x) \sin (x)}{\cot (x)}$
313	Vereinfache	(csc(x))/(tan(x)+cot(x))	$\frac{csc (x)}{tan (x) + cot (x)}$ $\frac{\csc (x)}{\tan (x) + \cot (x)}$
314	Vereinfache	a^(1/2)(a^(3/2)-2a^(1/2))	$a^{\frac{1}{2}} (a^{\frac{3}{2}} - 2 a^{\frac{1}{2}})$ $a^{\frac{1}{2}} (a^{\frac{3}{2}} - 2 a^{\frac{1}{2}})$
315	Vereinfache	1/(x^2+3x+2)-1/(x^2-2x-3)	$\frac{1}{x^{2} + 3 x + 2} - \frac{1}{x^{2} - 2 x - 3}$ $\frac{1}{x^{2} + 3 x + 2} - \frac{1}{x^{2} - 2 x - 3}$
316	Vereinfache	((x+h)^-2-x^-2)/h	$\frac{{(x + h)}^{- 2} - x^{- 2}}{h}$ $\frac{{(x + h)}^{- 2} - x^{- 2}}{h}$
317	Vereinfache	x/(x^2+x-2)-2/(x^2-5x+4)	$\frac{x}{x^{2} + x - 2} - \frac{2}{x^{2} - 5 x + 4}$ $\frac{x}{x^{2} + x - 2} - \frac{2}{x^{2} - 5 x + 4}$
318	x 구하기	3^x=1/9	$3^{x} = \frac{1}{9}$ $3^{x} = \frac{1}{9}$
319	x 구하기	e^(2x)-e^x-30=0	$e^{2 x} - e^{x} - 30 = 0$ $e^{2 x} - e^{x} - 30 = 0$
320	x 구하기	a^2x^2-b^2=0	$a^{2} x^{2} - b^{2} = 0$ $a^{2} x^{2} - b^{2} = 0$
321	x 구하기	Quadratwurzel von 3csc(x)-2=0	$\sqrt{3} csc (x) - 2 = 0$ $\sqrt{3} \csc (x) - 2 = 0$
322	x 구하기	Logarithmische Basis x von 125=3	${log}_{x} (125) = 3$ $\log_{x} (125) = 3$
323	x 구하기	Logarithmische Basis 5 von x=-3	${log}_{5} (x) = - 3$ $\log_{5} (x) = - 3$
324	x 구하기	logarithmische Basis 5 von x+ logarithmische Basis 5 von x+1 = logarithmische Basis 5 von 20	${log}_{5} (x) + {log}_{5} (x + 1) = {log}_{5} (20)$ $\log_{5} (x) + \log_{5} (x + 1) = \log_{5} (20)$
325	x 구하기	logarithmische Basis 2 von x+ logarithmische Basis 2 von x+2 = logarithmische Basis 2 von x+6	${log}_{2} (x) + {log}_{2} (x + 2) = {log}_{2} (x + 6)$ $\log_{2} (x) + \log_{2} (x + 2) = \log_{2} (x + 6)$
326	x 구하기	Quadratwurzel von x^2+8-3=0	$\sqrt{x^{2} + 8} - 3 = 0$ $\sqrt{x^{2} + 8} - 3 = 0$
327	x 구하기	4 Logarithmus von x-6=11	$4 log (x - 6) = 11$ $4 \log (x - 6) = 11$
328	x 구하기	x^6-6x^3+9=0	$x^{6} - 6 x^{3} + 9 = 0$ $x^{6} - 6 x^{3} + 9 = 0$
329	x 구하기	1000e^(-4x)=75	$1000 e^{- 4 x} = 75$ $1000 e^{- 4 x} = 75$
330	x 구하기	14e^(3x+2)=560	$14 e^{3 x + 2} = 560$ $14 e^{3 x + 2} = 560$
331	x 구하기	2e^(3x)=1	$2 e^{3 x} = 1$ $2 e^{3 x} = 1$
332	x 구하기	2sec(x)^2+tan(x)^2-3=0	$2 {sec}^{2} (x) + {tan}^{2} (x) - 3 = 0$ $2 \sec^{2} (x) + \tan^{2} (x) - 3 = 0$
333	x 구하기	Quadratwurzel von x-10-4=0	$\sqrt{x - 10} - 4 = 0$ $\sqrt{x - 10} - 4 = 0$
334	? 구하기	2cos(x)^2-1=0	$2 {cos}^{2} (x) - 1 = 0$ $2 \cos^{2} (x) - 1 = 0$
335	? 구하기	cos(x)=1/4	$cos (x) = \frac{1}{4}$ $\cos (x) = \frac{1}{4}$
336	? 구하기	sin(x)=1/4	$sin (x) = \frac{1}{4}$ $\sin (x) = \frac{1}{4}$
337	t 구하기	T=gr+gvt	$T = g r + g v t$ $T = g r + g v t$
338	Vereinfache	(1-sin(t))(1+sin(t))	$(1 - sin (t)) (1 + sin (t))$ $(1 - \sin (t)) (1 + \sin (t))$
339	Vereinfache	(12x^3y^3)(6x^4y^6)	$(12 x^{3} y^{3}) (6 x^{4} y^{6})$ $(12 x^{3} y^{3}) (6 x^{4} y^{6})$
340	x 구하기	Logarithmus von 8x- Logarithmus von 1+ Quadratwurzel von x=2	$log (8 x) - log (1 + \sqrt{x}) = 2$ $\log (8 x) - \log (1 + \sqrt{x}) = 2$
341	x 구하기	Logarithmus von 3x = Logarithmus von 5+ Logarithmus von x-2	$log (3 x) = log (5) + log (x - 2)$ $\log (3 x) = \log (5) + \log (x - 2)$
342	x 구하기	Logarithmus von x=-3	$log (x) = - 3$ $\log (x) = - 3$
343	x 구하기	sec(x)=0	$sec (x) = 0$ $\sec (x) = 0$
344	x 구하기	natürlicher Logarithmus von x- natürlicher Logarithmus von 2=0	$ln (x) - ln (2) = 0$ $\ln (x) - \ln (2) = 0$
345	x 구하기	sin(2x)=-( Quadratwurzel von 3)/2	$sin (2 x) = - \frac{\sqrt{3}}{2}$ $\sin (2 x) = - \frac{\sqrt{3}}{2}$
346	x 구하기	sin(x)=5/13	$sin (x) = \frac{5}{13}$ $\sin (x) = \frac{5}{13}$
347	제III사분면에서의 다른 삼각함수 값 구하기	cos(theta)=-24/25	$cos (θ) = - \frac{24}{25}$ $\cos (θ) = - \frac{24}{25}$
348	제IV사분면에서의 다른 삼각함수 값 구하기	cos(x)=24/25	$cos (x) = \frac{24}{25}$ $\cos (x) = \frac{24}{25}$
349	제III사분면에서의 다른 삼각함수 값 구하기	tan(x)=4/3	$tan (x) = \frac{4}{3}$ $\tan (x) = \frac{4}{3}$
350	제II사분면에서의 다른 삼각함수 값 구하기	sin(x)=24/25	$sin (x) = \frac{24}{25}$ $\sin (x) = \frac{24}{25}$
351	제II사분면에서의 다른 삼각함수 값 구하기	tan(x)=-15/8	$tan (x) = - \frac{15}{8}$ $\tan (x) = - \frac{15}{8}$
352	Bestimme den Grad	x	$x$ $x$
353	Finde die Asymptoten	f(x)=1/(x-5)	$f (x) = \frac{1}{x - 5}$ $f (x) = \frac{1}{x - 5}$
354	Finde die Asymptoten	f(x)=3^x	$f (x) = 3^{x}$ $f (x) = 3^{x}$
355	Finde die Asymptoten	f(x)=1/(x^2)	$f (x) = \frac{1}{x^{2}}$ $f (x) = \frac{1}{x^{2}}$
356	Finde die Asymptoten	f(x)=5^x	$f (x) = 5^{x}$ $f (x) = 5^{x}$
357	Finde die Asymptoten	f(x)=x/(x-5)	$f (x) = \frac{x}{x - 5}$ $f (x) = \frac{x}{x - 5}$
358	Ermittle den Wertebereich	f(x)=e^x	$f (x) = e^{x}$ $f (x) = e^{x}$
359	Schreibe in Normalform	(4-i)/(2-i)	$\frac{4 - i}{2 - i}$ $\frac{4 - i}{2 - i}$
360	Dividiere	(x^5+1)/(x+1)	$\frac{x^{5} + 1}{x + 1}$ $\frac{x^{5} + 1}{x + 1}$
361	Finde die Nullstellen	cos(2x)-cos(x)=0	$cos (2 x) - cos (x) = 0$ $\cos (2 x) - \cos (x) = 0$
362	Finde die Nullstellen	f(x)=x^4-3x^3-2x^2+3x-5	$f (x) = x^{4} - 3 x^{3} - 2 x^{2} + 3 x - 5$ $f (x) = x^{4} - 3 x^{3} - 2 x^{2} + 3 x - 5$
363	Bestimme die x- und y-Achsenabschnitte	y=cos(x)	$y = cos (x)$ $y = \cos (x)$
364	Bestimme die x- und y-Achsenabschnitte	y=-\|x+10\|	$y = - \| x + 10 \|$ $y = - \| x + 10 \|$
365	Löse durch Anwendung der Quadratformel	x^2-2x-15=0	$x^{2} - 2 x - 15 = 0$ $x^{2} - 2 x - 15 = 0$
366	Finde die Nullstellen mithilfe des Lemmas von Gauß	x^3-3x^2-4x+12	$x^{3} - 3 x^{2} - 4 x + 12$ $x^{3} - 3 x^{2} - 4 x + 12$
367	Finde die Nullstellen mithilfe des Lemmas von Gauß	x^3-4x^2-7x+10	$x^{3} - 4 x^{2} - 7 x + 10$ $x^{3} - 4 x^{2} - 7 x + 10$
368	Ermittle die Umkehrfunktion	f(x)=3x-6	$f (x) = 3 x - 6$ $f (x) = 3 x - 6$
369	Ermittle die Umkehrfunktion	f(x)=6x^3-3	$f (x) = 6 x^{3} - 3$ $f (x) = 6 x^{3} - 3$
370	Ermittle die Umkehrfunktion	f(x)=x-5	$f (x) = x - 5$ $f (x) = x - 5$
371	Ermittle den Scheitelpunkt	f(x)=x^2-6x+5	$f (x) = x^{2} - 6 x + 5$ $f (x) = x^{2} - 6 x + 5$
372	Ermittle den Scheitelpunkt	f(x)=x^2+4x-5	$f (x) = x^{2} + 4 x - 5$ $f (x) = x^{2} + 4 x - 5$
373	Ermittle den Scheitelpunkt	f(x)=x^2-8x+16	$f (x) = x^{2} - 8 x + 16$ $f (x) = x^{2} - 8 x + 16$
374	Ermittle den Scheitelpunkt	f(x)=2x^2+x-6	$f (x) = 2 x^{2} + x - 6$ $f (x) = 2 x^{2} + x - 6$
375	Löse durch Substitution	3x-y=7 , -3x+y=5	$3 x - y = 7$ $3 x - y = 7$ , $- 3 x + y = 5$ $- 3 x + y = 5$
376	Berechne	(3^-2+4^-2)^(-1/2)	${(3^{- 2} + 4^{- 2})}^{- \frac{1}{2}}$ ${(3^{- 2} + 4^{- 2})}^{- \frac{1}{2}}$
377	Ermittle den Wert mithilfe des Einheitskreises	cos(120)	$cos (120)$ $\cos (120)$
378	Berechne	(tan(pi/18)+tan(pi/9))/(1-tan(pi/18)tan(pi/9))	$\frac{tan (\frac{π}{18}) + tan (\frac{π}{9})}{1 - tan (\frac{π}{18}) tan (\frac{π}{9})}$ $\frac{\tan (\frac{π}{18}) + \tan (\frac{π}{9})}{1 - \tan (\frac{π}{18}) \tan (\frac{π}{9})}$
379	Berechne	cos(pi/12)	$cos (\frac{π}{12})$ $\cos (\frac{π}{12})$
380	Bestimme den Definitions- und Wertebereich	f(x)=sin(x)	$f (x) = sin (x)$ $f (x) = \sin (x)$
381	Stelle graphisch dar	y=tan(4x)	$y = tan (4 x)$ $y = \tan (4 x)$
382	Stelle graphisch dar	y=cot(4x)	$y = cot (4 x)$ $y = \cot (4 x)$
383	Stelle graphisch dar	x=-2	$x = - 2$ $x = - 2$
384	Stelle graphisch dar	y=2.4^x	$y = {2.4}^{x}$ $y = {2.4}^{x}$
385	Addieren	1/x+2	$\frac{1}{x} + 2$ $\frac{1}{x} + 2$
386	Bestimme, ob ungerade, gerade oder weder noch	f(x)=x^3-5x	$f (x) = x^{3} - 5 x$ $f (x) = x^{3} - 5 x$
387	Stelle graphisch dar	(x^2)/64-(y^2)/36=1	$\frac{x^{2}}{64} - \frac{y^{2}}{36} = 1$ $\frac{x^{2}}{64} - \frac{y^{2}}{36} = 1$
388	Bestimme den Definitions- und Wertebereich	y=cos(x)	$y = cos (x)$ $y = \cos (x)$
389	Löse durch Substitution	2x+2y-z=2 , x-3y+z=-28 , -x+y=4	$2 x + 2 y - z = 2$ $2 x + 2 y - z = 2$ , $x - 3 y + z = - 28$ $x - 3 y + z = - 28$ , $- x + y = 4$ $- x + y = 4$
390	Löse durch Substitution	x-2y+3z=7 , 2x+y+z=4 , -3x+2y-2z=-10	$x - 2 y + 3 z = 7$ $x - 2 y + 3 z = 7$ , $2 x + y + z = 4$ $2 x + y + z = 4$ , $- 3 x + 2 y - 2 z = - 10$ $- 3 x + 2 y - 2 z = - 10$
391	Löse durch Addition/Elimination	3x-4y=4 , x+3y=-3	$3 x - 4 y = 4$ $3 x - 4 y = 4$ , $x + 3 y = - 3$ $x + 3 y = - 3$
392	Ermittle den Scheitelpunkt	f(x)=4x^2-8x+3	$f (x) = 4 x^{2} - 8 x + 3$ $f (x) = 4 x^{2} - 8 x + 3$
393	Ermittle den Scheitelpunkt	f(x)=2x^2-8x+9	$f (x) = 2 x^{2} - 8 x + 9$ $f (x) = 2 x^{2} - 8 x + 9$
394	Ermittle den Scheitelpunkt	f(x)=3x^2-12x+1	$f (x) = 3 x^{2} - 12 x + 1$ $f (x) = 3 x^{2} - 12 x + 1$
395	Ermittle den Scheitelpunkt	f(x)=x^2-4x-5	$f (x) = x^{2} - 4 x - 5$ $f (x) = x^{2} - 4 x - 5$
396	Ermittle die Umkehrfunktion	f(x)=(3-x)/7	$f (x) = \frac{3 - x}{7}$ $f (x) = \frac{3 - x}{7}$
397	Bestimme den Definitions- und Wertebereich	f(x)=(x^2+x-2)/(x^2-3x-4)	$f (x) = \frac{x^{2} + x - 2}{x^{2} - 3 x - 4}$ $f (x) = \frac{x^{2} + x - 2}{x^{2} - 3 x - 4}$
398	Bestimme den Definitionsbereich	f(x) = square root of 9-x^2	$f (x) = \sqrt{9 - x^{2}}$ $f (x) = \sqrt{9 - x^{2}}$
399	Bestimme den Definitions- und Wertebereich	f(x)=x^4-8x^3+17x^2-8x+16	$f (x) = x^{4} - 8 x^{3} + 17 x^{2} - 8 x + 16$ $f (x) = x^{4} - 8 x^{3} + 17 x^{2} - 8 x + 16$
400	Faktor	cos(x)	$cos (x)$ $\cos (x)$