Mathway | Recent Popular Problems

Recent Popular Problems

Classificação	Tópico	Problema	Problema formatado
18601	Verifique a Identidade	(csc(a)+1)/(csc(a)-1)=(1+sin(a))/(1-sin(a))	$\frac{\csc (a) + 1}{\csc (a) - 1} = \frac{1 + \sin (a)}{1 - \sin (a)}$
18602	Determina a concavidade	f(x)=-3/5x^5+7x^4	$f (x) = - \frac{3}{5} x^{5} + 7 x^{4}$
18603	Löse nach x auf	2x^4=162	$2 x^{4} = 162$
18604	Escreva na Forma Inclinação-Intercepto	y+4=4/3x	$y + 4 = \frac{4}{3} x$
18605	Löse nach a auf	R=3 logaritmo de a+2+15	$R = 3 \log (a + 2) + 15$
18606	Determina o m.d.c.	35x^2y^3z^4 , 42x^2y^4z^4 , 70x^2y^5z^2	$35 x^{2} y^{3} z^{4}$ , $42 x^{2} y^{4} z^{4}$ , $70 x^{2} y^{5} z^{2}$
18607	Löse nach n auf	base do logaritmo 5 de 625=n-4	$\log_{5} (625) = n - 4$
18608	Escreva como um Logaritmo Único	1/2(4 log of x- log of square root of x^5)+ log of cube root of x^2	$\frac{1}{2} (4 \log (x) - \log (\sqrt{x^{5}})) + \log (\sqrt[3]{x^{2}})$
18609	Escreva na Forma y=mx+b	(-1,6) and (7,-2)	$(- 1, 6)$ and $(7, - 2)$
18610	Löse nach x auf	f(5)=3x^2+2x-1	$f (5) = 3 x^{2} + 2 x - 1$
18611	Avalia	3d^-4*4d^4	$3 d^{- 4} \cdot 4 d^{4}$
18612	Resolva a Função Operação	f(x)=x^2-7x+9 g(x)=-x+4 Find: f(g(x))	$f (x) = x^{2} - 7 x + 9$ $g (x) = - x + 4$ Find: $f (g (x))$
18613	Escreve na forma de Dízima	1.5rad	$1.5$ radians
18614	Löse die Ungleichung nach x auf	X^2+4x>12	$X^{2} + 4 x > 12$
18615	Simplifique	22b+7-12b-5-10b-2	$22 b + 7 - 12 b - 5 - 10 b - 2$
18616	Avalia	(-6/7)^-1	${(\frac{- 6}{7})}^{- 1}$
18617	Löse nach x auf	250=62.5 raiz cúbica de x+75.8	$250 = 62.5 \sqrt[3]{x} + 75.8$
18618	Simplifique	-w+6(5w^2-2)-6w^3-1	$- w + 6 (5 w^{2} - 2) - 6 w^{3} - 1$
18619	Representa a função num gráfico cartesiano	f(x)=1+1/2 raiz cúbica de 2-x	$f (x) = 1 + \frac{1}{2} \sqrt[3]{2 - x}$
18620	Adiciona	(x-1)/(3x+4)+(2x+9)/(3x+4)	$\frac{x - 1}{3 x + 4} + \frac{2 x + 9}{3 x + 4}$
18621	Simplifique a Expressão Radical	i^15	$i^{15}$
18622	Ermittle die Ableitung - d/dx	1/x+x	$\frac{1}{x} + x$
18623	Löse nach x auf	base do logaritmo 4 de 3x^2+1- base do logaritmo 4 de 2x+2=0	$\log_{4} (3 x^{2} + 1) - \log_{4} (2 x + 2) = 0$
18624	Divide utilizando a regra de Ruffini	Use synthetic division to find the result when 3x^4+6x^3-2x^2-3x+2 is divided by x+1	Use synthetic division to find the result when $3 x^{4} + 6 x^{3} - 2 x^{2} - 3 x + 2$ is divided by $x + 1$
18625	Resolva Usando a Fórmula Quadrática	-7x=2x^2+9	$- 7 x = 2 x^{2} + 9$
18626	Löse das System von Equations	25x^2+9y^2=225 5x+3y=-15	$25 x^{2} + 9 y^{2} = 225$ $5 x + 3 y = - 15$
18627	Resolva a Função Operação	f(x)=(x+5)^2-3 if x!=-3; -4 if x=-3 Find f(-3)	$f (x) = {\begin{cases} {(x + 5)}^{2} - 3 & x \neq - 3 \\ - 4 & x = - 3 \end{cases}$ Find $f (- 3)$
18628	Multiplique	(x^2+5x-36)/(x^2-49)*(x^2-11x+28)	$\frac{x^{2} + 5 x - 36}{x^{2} - 49} \cdot (x^{2} - 11 x + 28)$
18629	Simplifique	(3/5+3/2i)^2	${(\frac{3}{5} + \frac{3}{2} i)}^{2}$
18630	Avalia	(32^20-52^19)/((-2^6)^3)	$\frac{(3 \cdot 2^{20} - 5 \cdot 2^{19})}{{(- 2^{6})}^{3}}$
18631	Determina o declive	(-1,6) and (7,-2)	$(- 1, 6)$ and $(7, - 2)$
18632	Löse die Ungleichung nach x auf	2x^2+3x+1>=3	$2 x^{2} + 3 x + 1 \geq 3$
18633	Escreva como um Logaritmo Único	4 logaritmo de 8- logaritmo de 10	$4 \log (8) - \log (10)$
18634	Löse die Ungleichung nach p auf	-3p+2>5	$- 3 p + 2 > 5$
18635	Simplifique	( raiz quadrada de 4x)^2	${(\sqrt{4 x})}^{2}$
18636	Avalia	3(2x-5)=6x-15	$3 (2 x - 5) = 6 x - 15$
18637	Determina todas as raízes complexas	3(2x-5)=6x-15	$3 (2 x - 5) = 6 x - 15$
18638	Representa a função num gráfico cartesiano	f(x)=x^2+c,x<0; -x^2+c,x>=0	$f (x) = {\begin{cases} x^{2} + c, x < 0 \\ - x^{2} + c, x \geq 0 \end{cases}$
18639	Avalia	7+ raiz quadrada de x=12	$7 + \sqrt{x} = 12$
18640	Löse nach x auf	3(2x-1)=1/2(4x-2)+2	$3 (2 x - 1) = \frac{1}{2} (4 x - 2) + 2$
18641	Löse nach x auf	1/(x+8)+(2x)/(x-2)=(x+2)/(x-2)	$\frac{1}{x + 8} + \frac{2 x}{x - 2} = \frac{x + 2}{x - 2}$
18642	Löse nach x auf	(x+1)/(x-1)=14/20	$\frac{x + 1}{x - 1} = \frac{14}{20}$
18643	Determina o valor exato	(-2(4-1)-(2-5))+1	$(- 2 (4 - 1) - (2 - 5)) + 1$
18644	Representa a função num gráfico cartesiano	(dy)/(dx)=xy	$\frac{d y}{d x} = x y$
18645	Determina o produto	x(2x-5)	$x (2 x - 5)$
18646	Löse nach v auf	64=v^3	$64 = v^{3}$
18647	Determina o grau do polinómio, termo de maior grau e o coeficiente do termo de maior grau	2+x	$2 + x$
18648	Resolva a Função Operação	f(x)=(x^3)/7 ; find f^-1(x)	$f (x) = \frac{x^{3}}{7}$ ; find $f^{- 1} (x)$
18649	Simplifique	5^0*(5^5)/(5^-2)	$5^{0} \cdot \frac{5^{5}}{5^{- 2}}$
18650	Avalia	e^(2x)+e^x-6=0	$e^{2 x} + e^{x} - 6 = 0$
18651	Simplifique	(10a^5b^2)/(2b^7)*(4(a^2)^5)/(b^-4)	$\frac{10 a^{5} b^{2}}{2 b^{7}} \cdot \frac{4 {(a^{2})}^{5}}{b^{- 4}}$
18652	Encontre a Antiderivada	x^2e^(2x)	$x^{2} e^{2 x}$
18653	Avalie o Limite	limite à medida que x aproxima 2 de (3x^2-6x)/(6x^2+2x)	$lim_{x \to 2} \frac{3 x^{2} - 6 x}{6 x^{2} + 2 x}$
18654	Löse die Ungleichung nach x auf	((x-1)^2)/((x+1)(x-2))>0	$\frac{{(x - 1)}^{2}}{(x + 1) (x - 2)} > 0$
18655	Fatorizar	3a^2-2b-6a+ab	$3 a^{2} - 2 b - 6 a + a b$
18656	Simplifique	((5^2)/(8^2))^(-1/2)	${(\frac{5^{2}}{8^{2}})}^{- \frac{1}{2}}$
18657	Simplifique	raiz quarta da raiz cúbica de 64	$\sqrt[4]{\sqrt[3]{64}}$
18658	Determina o grau do polinómio, termo de maior grau e o coeficiente do termo de maior grau	h(x)=-2x^7+5x^4-3x	$h (x) = - 2 x^{7} + 5 x^{4} - 3 x$
18659	Determina o m.m.c.	3 and 6	$3$ and $6$
18660	Simplifique	Simplify sin(theta)+cos(theta)*cot(theta)	Simplify $\sin (θ) + \cos (θ) \cdot \cot (θ)$
18661	Löse das System von Equations	2x-3y+z=10 -x+y-z=1 5x+y+z=-7	$2 x - 3 y + z = 10$ $- x + y - z = 1$ $5 x + y + z = - 7$
18662	Avalia	-2*( raiz quadrada de 14)^2	$- 2 \cdot {(\sqrt{14})}^{2}$
18663	Descreve a Transformação	f(x)=\|3x\|-2	$f (x) = \| 3 x \| - 2$
18664	Simplifique	1/(h^7*h^3)	$\frac{1}{h^{7} \cdot h^{3}}$
18665	Divide	(-4/3)÷(-12)	$- \frac{4}{3} \div (- 12)$
18666	Löse nach x auf	9+(x+9)/x=(3x+1)/(2x)	$9 + \frac{x + 9}{x} = \frac{3 x + 1}{2 x}$
18667	Simplifique	(-5xy^2z^7)^0	${(- 5 x y^{2} z^{7})}^{0}$
18668	Simplifique	(4z^3)^2(2z^0)^-2	${(4 z^{3})}^{2} {(2 z^{0})}^{- 2}$
18669	Simplifique	3/2-6/(3v(v-5))	$\frac{3}{2} - \frac{6}{3 v (v - 5)}$
18670	Löse die Ungleichung nach x auf	-5x^2-1<=-9x-3	$- 5 x^{2} - 1 \leq - 9 x - 3$
18671	Plote graficamente usando uma tabela de valores	y=2 raiz cúbica de x	$y = 2 \sqrt[3]{x}$
18672	Simplifique	4x+9y+3(x+y)	$4 x + 9 y + 3 (x + y)$
18673	Integre Usando a Substituição u	integral de 0 a pi/6 de (sin(t))/(cos(t)^2) com relação a t	$\int_{0}^{\frac{π}{6}} \frac{\sin (t)}{\cos^{2} (t)} d t$
18674	Representa a função num gráfico cartesiano	cos(theta)<0 and sin(theta)<0	$\cos (θ) < 0$ and $\sin (θ) < 0$
18675	Determina o domínio e a amplitude	tan(arctan(x))	$\tan (\arctan (x))$
18676	Simplifique	raiz cúbica de x^2* raiz sexta de x^5	$\sqrt[3]{x^{2}} \cdot \sqrt[6]{x^{5}}$
18677	Simplifique	3(x^2+y)^0	$3 {(x^{2} + y)}^{0}$
18678	Simplifique	2x^2-8x-6+9x^2-8	$2 x^{2} - 8 x - 6 + 9 x^{2} - 8$
18679	Simplifique	((8^4)/(10^4))^(-1/4)	${(\frac{8^{4}}{10^{4}})}^{\frac{- 1}{4}}$
18680	Expanda a Expressão Logarítmica	logaritmo de (cd^2)/(fg)	$\log (\frac{c d^{2}}{f g})$
18681	Avalia	raiz quarta de (7^2)/m=( raiz quarta de 7^2)/( raiz quarta de m)	$\sqrt[4]{\frac{7^{2}}{m}} = \frac{\sqrt[4]{7^{2}}}{\sqrt[4]{m}}$
18682	Löse die Ungleichung nach q auf	2(q-3)+6<=-10	$2 (q - 3) + 6 \leq - 10$
18683	Löse nach x auf	32/(x^2-4x)-1/x=3/(x-4)	$\frac{32}{x^{2} - 4 x} - \frac{1}{x} = \frac{3}{x - 4}$
18684	Löse nach x auf	2=(32^(1/3))(2^(x/3))	$2 = (32^{\frac{1}{3}}) (2^{\frac{x}{3}})$
18685	Simplifique	(1+(2i)/n)^2	${(1 + \frac{2 i}{n})}^{2}$
18686	Representa a função num gráfico cartesiano	r=sec(theta)	$r = \sec (θ)$
18687	Löse die Ungleichung nach x auf	-2(2x-2)+5>-5x-6	$- 2 (2 x - 2) + 5 > - 5 x - 6$
18688	Avalia	3*(9-(4+2)÷2)	$3 \cdot (9 - (4 + 2) \div 2)$
18689	Simplifique	-w^2x^3(3x^5-6w^4y+4w)	$- w^{2} x^{3} (3 x^{5} - 6 w^{4} y + 4 w)$
18690	Avalia	sin(pi/4)+sin(pi/4)	$\sin (\frac{π}{4}) + \sin (\frac{π}{4})$
18691	Simplifique	(x+5)/(x^3-7x^2+12x)	$\frac{x + 5}{x^{3} - 7 x^{2} + 12 x}$
18692	Avalia	10% of 60	$10 %$ of $60$
18693	Ermittle g(h(x))	g(x)=(2x)^3 and h(x)=( raiz cúbica de x)/2	$g (x) = {(2 x)}^{3}$ and $h (x) = \frac{\sqrt[3]{x}}{2}$
18694	Fatorizar	8y^4+x^3y	$8 y^{4} + x^{3} y$
18695	Determina as raízes (zeros)	x^4-4x^3+x^2+12x-12	$x^{4} - 4 x^{3} + x^{2} + 12 x - 12$
18696	Determina o domínio e a amplitude	y=3cos(2x-pi)+5	$y = 3 \cos (2 x - π) + 5$
18697	Determina todas as raízes complexas	raiz quadrada de 2x+8-6=-4	$\sqrt{2 x + 8} - 6 = - 4$
18698	Löse die Ungleichung nach x auf	6>x	$6 > x$
18699	Avalie a Integral	integral de 0 a 1 de (x^11+11^x) com relação a x	$\int_{0}^{1} (x^{11} + 11^{x}) d x$
18700	Avalie a Integral	integral de (5x^-3-x) com relação a x	$\int (5 x^{- 3} - x) d x$