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Recent Popular Problems

Classificação	Tópico	Problema	Problema formatado
37501	Determina o valor exato	(tan(45 graus )+tan(30 graus ))/(1-tan(45 graus )tan(30 graus ))	$\frac{\tan (45 °) + \tan (30 °)}{1 - \tan (45 °) \tan (30 °)}$
37502	Avalie a Integral	integral de (-3/x+3e^x) com relação a x	$\int (- \frac{3}{x} + 3 e^{x}) d x$
37503	Löse das System von Equations	x^2=2y^2+18 x^2-3y^2=9	$x^{2} = 2 y^{2} + 18$ $x^{2} - 3 y^{2} = 9$
37504	Simplifique	(1+ raiz quadrada de 5)/(5+ raiz quadrada de 5)	$\frac{1 + \sqrt{5}}{5 + \sqrt{5}}$
37505	Simplifique	-3 raiz quadrada de -49+ raiz cúbica de -729+ raiz quadrada de -4-3 raiz cúbica de -64	$- 3 \sqrt{- 49} + \sqrt[3]{- 729} + \sqrt{- 4} - 3 \sqrt[3]{- 64}$
37506	Descreve a Transformação	h(x)=1/5f(x)	$h (x) = \frac{1}{5} f (x)$
37507	Avalie o Limite	limite à medida que x se aproxima de 4 da direita de x^3-cx	$lim_{x \to 4^{+}} x^{3} - c x$
37508	Resolva a Função Operação	g(x)=-x+4 ; find g(-4)	$g (x) = - x + 4$ ; find $g (- 4)$
37509	Encontre o Comprimento de a	tri{}{30}{10}{60}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 10 \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
37510	Simplifique	(2x^4y^3)/(8xy^2z^2)	$\frac{2 x^{4} y^{3}}{8 x y^{2} z^{2}}$
37511	Simplifique	(2x^5-3x^2+4)-(x^5+2x^2+7)	$(2 x^{5} - 3 x^{2} + 4) - (x^{5} + 2 x^{2} + 7)$
37512	Determina a equação com um ponto e declive conhecidos	What is the equation of the line that passes through the point (8,-8) and has a slope of -2 ?	What is the equation of the line that passes through the point $(8, - 8)$ and has a slope of $- 2$ ?
37513	Löse nach h auf	3(h-2)+1=h+4+2h	$3 (h - 2) + 1 = h + 4 + 2 h$
37514	Löse nach k auf	base do logaritmo 5 de 3k+12=3/4*( base do logaritmo 5 de 405- base do logaritmo 5 de 5)	$\log_{5} (3 k + 12) = \frac{3}{4} \cdot (\log_{5} (405) - \log_{5} (5))$
37515	Representa a função num gráfico cartesiano	f(x)=(1+1/x)^x	$f (x) = {(1 + \frac{1}{x})}^{x}$
37516	Divide utilizando a regra de Ruffini	Use synthetic division to find the result when x^3+3x^2-21x-28 is divided by x-4	Use synthetic division to find the result when $x^{3} + 3 x^{2} - 21 x - 28$ is divided by $x - 4$
37517	Avalie o Limite	limite à medida que x aproxima negative infinity de ((x+2)(x+5)(x-5))/(13(x+3)(x+5))	$lim_{x \to - \infty} \frac{(x + 2) (x + 5) (x - 5)}{13 (x + 3) (x + 5)}$
37518	Resolva a Função Operação	Given that f(x)=x^2+9x+18 and g(x)=x+3 ; find (f÷g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 9 x + 18$ and $g (x) = x + 3$ ; find $(f \div g) (x)$ and express the result in standard form.
37519	Löse das System von Equations	y=2x-10 2y=x-8	$y = 2 x - 10$ $2 y = x - 8$
37520	Multiplique	(k^2+12k+32)/(k^2+13k+40)*(k^2+5k)/(k^2+6k+8)	$\frac{k^{2} + 12 k + 32}{k^{2} + 13 k + 40} \cdot \frac{k^{2} + 5 k}{k^{2} + 6 k + 8}$
37521	Löse die rationale Gleichung nach x auf	raiz quarta de 4x-13=-15	$\sqrt[4]{4 x} - 13 = - 15$
37522	Simplifique a Expressão Radical	(2^0*2^3)/( raiz quadrada de 2)	$\frac{2^{0} \cdot 2^{3}}{\sqrt{2}}$
37523	Löse die Ungleichung nach v auf	5v+10<=-4v-17<9-2v	$5 v + 10 \leq - 4 v - 17 < 9 - 2 v$
37524	Simplifique	((ab+b^2)/3)÷((b^3)/(3a))+(a+b)/b	$\frac{a b + b^{2}}{3} \div \frac{b^{3}}{3 a} + \frac{a + b}{b}$
37525	Löse nach θ in Grad auf	cos(theta)=sin(theta)	$\cos (θ) = \sin (θ)$
37526	Determina a expressão da função inversa	f(x)=( raiz quíntupla de 3(x+8))/10	$f (x) = \frac{\sqrt[5]{3 (x + 8)}}{10}$
37527	Avalia	8-\|-6\|+3	$8 - \| - 6 \| + 3$
37528	Löse nach x auf	(x+4)/3-(x+7)/2=-1/6	$\frac{x + 4}{3} - \frac{x + 7}{2} = \frac{- 1}{6}$
37529	Löse nach A in Grad auf	-6cos(A)+8=3cos(A)+8	$- 6 \cos (A) + 8 = 3 \cos (A) + 8$
37530	Ermittle f(g(x))	f(x)=1/(x-4) , g(x)=2/x+4	$f (x) = \frac{1}{x - 4}$ , $g (x) = \frac{2}{x} + 4$
37531	Löse das System von Inequalities	x-2y>-8 x+y>=1	$x - 2 y > - 8$ $x + y \geq 1$
37532	Löse nach x auf	4=1+ raiz quadrada de x	$4 = 1 + \sqrt{x}$
37533	Fatorizar	2-(x^2+10xy+7y^2)/(x^2+4xy+4y^2)	$2 - \frac{x^{2} + 10 x y + 7 y^{2}}{x^{2} + 4 x y + 4 y^{2}}$
37534	Resolva a Função Operação	f(n)=n^2+3n g(n)=-n-3 Find f(g(3))	$f (n) = n^{2} + 3 n$ $g (n) = - n - 3$ Find $f (g (3))$
37535	Resolva a Função Operação	Let f(x)=3x-6 and g(x)=x-2 Find f/g and its domain.	Let $f (x) = 3 x - 6$ and $g (x) = x - 2$ Find $\frac{f}{g}$ and its domain.
37536	Löse die Ungleichung nach t auf	3.5+4t<=39.5	$3.5 + 4 t \leq 39.5$
37537	Fatorizar	x^4-7x^2+6x	$x^{4} - 7 x^{2} + 6 x$
37538	Escreva Usando Expoentes Positivos	4a^3b^2*3a^-4b^-3	$4 a^{3} b^{2} \cdot 3 a^{- 4} b^{- 3}$
37539	Simplifique	(1/x)^4*(1/x)^5	${(\frac{1}{x})}^{4} \cdot {(\frac{1}{x})}^{5}$
37540	Simplifique	-(6-3i)/(3+7i)	$- \frac{6 - 3 i}{3 + 7 i}$
37541	Fatorizar	ax^2-(1+ab)xy+by^2	$a x^{2} - (1 + a b) x y + b y^{2}$
37542	Löse die Ungleichung nach k auf	-8k-12<-9k	$- 8 k - 12 < - 9 k$
37543	Fatorizar	x^4-6x^3-3x^2+52x-60	$x^{4} - 6 x^{3} - 3 x^{2} + 52 x - 60$
37544	Reduza	raiz cúbica da raiz quadrada de 8	$\sqrt[3]{\sqrt{8}}$
37545	Simplifique	-(3i)^3	$- {(3 i)}^{3}$
37546	Divide utilizando a regra de Ruffini	Use synthetic division to find the result when 3x^4+10x^3+14x^2+12x+5 is divided by x+1	Use synthetic division to find the result when $3 x^{4} + 10 x^{3} + 14 x^{2} + 12 x + 5$ is divided by $x + 1$
37547	Simplifique	(2)(-2)-35÷(12-5)	$(2) (- 2) - 35 \div (12 - 5)$
37548	Löse die Ungleichung nach x auf	-3<(2x-6)/4<5	$- 3 < \frac{2 x - 6}{4} < 5$
37549	Representa a função num gráfico cartesiano	y=x+8 if x<4; 4x-4 if x>=4	$y = {\begin{cases} x + 8 & x < 4 \\ 4 x - 4 & x \geq 4 \end{cases}$
37550	Encontre a Antiderivada	f(x)=( raiz quadrada de 2x)/x+3/(x^5)	$f (x) = \frac{\sqrt{2 x}}{x} + \frac{3}{x^{5}}$
37551	Löse nach x auf	3/4x+2/8x=48/8	$\frac{3}{4} x + \frac{2}{8} x = \frac{48}{8}$
37552	Avalie Usando o Valor Fornecido	Evaluate 6+x if x=6	Evaluate $6 + x$ if $x = 6$
37553	Löse nach x auf	4/3(x-5/6)=62/9	$\frac{4}{3} (x - \frac{5}{6}) = \frac{62}{9}$
37554	Simplifique	raiz quíntupla de x^7* raiz cúbica de x^2	$\sqrt[5]{x^{7}} \cdot \sqrt[3]{x^{2}}$
37555	Representa a função num gráfico cartesiano	y=1/2(1)^x	$y = \frac{1}{2} {(1)}^{x}$
37556	Simplifique	6x^3-3y^2-z+2x^2+3y^2-7z	$6 x^{3} - 3 y^{2} - z + 2 x^{2} + 3 y^{2} - 7 z$
37557	Avalia	3z+9+14z=4z+5	$3 z + 9 + 14 z = 4 z + 5$
37558	Simplifique a Expressão Radical	raiz cúbica de (5x^3)/(49x^5)	$\sqrt[3]{\frac{5 x^{3}}{49 x^{5}}}$
37559	Ermittle die Ableitung - d/dx	6 logaritmo natural de x-2^x	$6 \ln (x) - 2^{x}$
37560	Multiplique	(x-y-z)(x+y+z)	$(x - y - z) (x + y + z)$
37561	Avalia	6*6^-1	$6 \times 6^{- 1}$
37562	Multiplique	4/3pi6^3	$\frac{4}{3} \cdot π \cdot 6^{3}$
37563	Ermittle die Ableitung - d/dx	3(4)^x+5e^x	$3 {(4)}^{x} + 5 e^{x}$
37564	Representa a função num gráfico cartesiano	(1/x)^(-)*5	${(\frac{1}{x})}^{-} \cdot 5$
37565	Ermittle die Ableitung - d/dx	-27/( raiz cúbica de x-6)	$- \frac{27}{\sqrt[3]{x - 6}}$
37566	Löse das System von Equations	x+2y=-4 4y=3x+12	$x + 2 y = - 4$ $4 y = 3 x + 12$
37567	Avalia	e^(x-1)-5=5	$e^{x - 1} - 5 = 5$
37568	Determina o m.m.c.	x , x^2	$x$ , $x^{2}$
37569	Representa a função num gráfico cartesiano	2x=-2/3y	$2 x = - \frac{2}{3} y$
37570	Determina a equação através da fórmula do declive.	(1,-1) y=3/2x+5	$(1, - 1)$ $y = \frac{3}{2} x + 5$
37571	Simplifique	raiz quadrada de -4* raiz quadrada de 2* raiz quadrada de -8* raiz quadrada de 4	$\sqrt{- 4} \cdot \sqrt{2} \cdot \sqrt{- 8} \cdot \sqrt{4}$
37572	Simplifique a Expressão Radical	9^(1/3)*81^(1/3)	$9^{\frac{1}{3}} \cdot 81^{\frac{1}{3}}$
37573	Löse nach x auf	7 2/5=2/3x-4 1/2	$7 \frac{2}{5} = \frac{2}{3} x - 4 \frac{1}{2}$
37574	Löse nach y auf	(x+2)+(2y-1)i=-1+5i	$(x + 2) + (2 y - 1) i = - 1 + 5 i$
37575	Resolva Usando a Fórmula Quadrática	(7w-10)+4=0	$(7 w - 10) + 4 = 0$
37576	Avalie a Integral	integral de 3 a 5 de (2x^2+x+4)/(x-1) com relação a x	$\int_{3}^{5} \frac{2 x^{2} + x + 4}{x - 1} d x$
37577	Escreva na Forma Padrão	(-4-7i)*(3+i)	$(- 4 - 7 i) \cdot (3 + i)$
37578	Simplifique	x^-5x^(2/3)	$x^{- 5} x^{\frac{2}{3}}$
37579	Representa a função num gráfico cartesiano	y>x 2 y<=x-2	$y > x$ $2$ $y \leq x - 2$
37580	Löse nach y auf	y=(100(0.02)+x(0.005))/(100+x)	$y = \frac{100 (0.02) + x (0.005)}{100 + x}$
37581	Löse die rationale Gleichung nach x auf	raiz quarta de 3x-5=-8	$\sqrt[4]{3 x - 5} = - 8$
37582	Representa a função num gráfico cartesiano	F(x)=1/(-x^2)	$F (x) = \frac{1}{- x^{2}}$
37583	Simplifique	( raiz cúbica de u^4)( raiz cúbica de 2u^8)	$(\sqrt[3]{u^{4}}) (\sqrt[3]{2 u^{8}})$
37584	Löse nach x auf	y=(100(0.02)+x(0.005))/(100+x)	$y = \frac{100 (0.02) + x (0.005)}{100 + x}$
37585	Determina a expressão da função inversa	y=(2x-1)^2-2	$y = {(2 x - 1)}^{2} - 2$
37586	Löse nach a auf	-2a-4+a=-a-4	$- 2 a - 4 + a = - a - 4$
37587	Löse nach x auf	1=1/x	$1 = \frac{1}{x}$
37588	Ermittle die Ableitung - d/dt	y=e^t(cos(2t)+2sin(2t))	$y = e^{t} (\cos (2 t) + 2 \sin (2 t))$
37589	Adiciona	(-6x+3)-(-2x^2+6x-10)	$(- 6 x + 3) - (- 2 x^{2} + 6 x - 10)$
37590	Simplifique	(3x+1)+( raiz quadrada de 3x-6+1)	$(3 x + 1) + (\sqrt{3 x - 6} + 1)$
37591	Löse nach x auf	3/5(x+1/6)=-23/10	$\frac{3}{5} (x + \frac{1}{6}) = - \frac{23}{10}$
37592	Löse das System von Equations	x^2+y^2=169 x^2+y=13	$x^{2} + y^{2} = 169$ $x^{2} + y = 13$
37593	Avalia	(-7-(-4))^3+2^4	${(- 7 - (- 4))}^{3} + 2^{4}$
37594	Simplifique	(2x^5-6x^2+4x^4y)/(2x)	$\frac{2 x^{5} - 6 x^{2} + 4 x^{4} y}{2 x}$
37595	Simplifique	((2+2^3)^2)/5	$\frac{{(2 + 2^{3})}^{2}}{5}$
37596	Representa a função num gráfico cartesiano	f(x^2)	$f (x^{2})$
37597	Determina a amplitude de referência	(-(7pi)/6)	$(- \frac{7 π}{6})$
37598	Resolva Fatorando	18x^3=50x	$18 x^{3} = 50 x$
37599	Determina a monotonia da função	y=5/2x^4	$y = \frac{5}{2} x^{4}$
37600	Simplifique	(x1/4)/(x1/5)	$\frac{x \frac{1}{4}}{x \frac{1}{5}}$