Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
5101	Find the Adjoint	[[1,3,4],[2,4,1],[1,2,3]]	$[\begin{array}{c} 1 & 3 & 4 \\ 2 & 4 & 1 \\ 1 & 2 & 3 \end{array}]$
5102	Find the Adjoint	[[2.3,3.6],[1.4,5]]	$[\begin{array}{c} 2.3 & 3.6 \\ 1.4 & 5 \end{array}]$
5103	Evaluate	( square root of 5- fourth root of 24)/( square root of 3- square root of 2)	$\frac{\sqrt{5} - \sqrt[4]{24}}{\sqrt{3} - \sqrt{2}}$
5104	Evaluate	((arctan(x^2))/2)/((1/2-x/(2 square root of 2))/(x^2- square root of 2x+1)*(x/(2 square root of 2)+1/2)/(x^2+ square root of 2x+1))	$\frac{\frac{\arctan (x^{2})}{2}}{\frac{\frac{1}{2} - \frac{x}{2 \sqrt{2}}}{x^{2} - \sqrt{2} x + 1} \cdot \frac{\frac{x}{2 \sqrt{2}} + \frac{1}{2}}{x^{2} + \sqrt{2} x + 1}}$
5105	Evaluate	( square root of 100x)/( square root of y^16)	$\frac{\sqrt{100 x}}{\sqrt{y^{16}}}$
5106	Evaluate	( square root of 14-3)/( square root of 14+3)	$\frac{\sqrt{14 - 3}}{\sqrt{14 + 3}}$
5107	Evaluate	( square root of -2 square root of -8+ cube root of -125)/( square root of 25- square root of -9)	$\frac{\sqrt{- 2} \sqrt{- 8} + \sqrt[3]{- 125}}{\sqrt{25} - \sqrt{- 9}}$
5108	Evaluate	( square root of 23+4)/( square root of 23-4)	$\frac{\sqrt{23} + 4}{\sqrt{23} - 4}$
5109	Evaluate	( square root of 27a^3bc^2)/( square root of 12ac^2)	$\frac{\sqrt{27} a^{3} b c^{2}}{\sqrt{12} a c^{2}}$
5110	Evaluate	( square root of 45x^3y^4)/( square root of 16x)	$\frac{\sqrt{45 x^{3} y^{4}}}{\sqrt{16 x}}$
5111	Evaluate	( square root of 49)/( square root of 36)	$\frac{\sqrt{49}}{\sqrt{36}}$
5112	Evaluate	( square root of 5-2 square root of 6)/( square root of 3-4 square root of 5)	$\frac{\sqrt{5} - 2 \sqrt{6}}{\sqrt{3} - 4 \sqrt{5}}$
5113	Evaluate	(13 root of mn*13 root of n^12)/(13 root of m^12)	$\frac{\sqrt[13]{m n} \cdot \sqrt[13]{n^{12}}}{\sqrt[13]{m^{12}}}$
5114	Evaluate	( fifth root of 32+3 cube root of 8)/( fourth root of 81)	$\frac{\sqrt[5]{32} + 3 \sqrt[3]{8}}{\sqrt[4]{81}}$
5115	Evaluate	1/( square root of x+ square root of y)	$\frac{1}{\sqrt{x} + \sqrt{y}}$
5116	Evaluate	13.05/( square root of 90)	$\frac{13.05}{\sqrt{90}}$
5117	Determine if d is a Proper Subset of c	c=(1.3,-1,0.6) , d=(5,6,-1)	$c = (1.3, - 1, 0.6)$ , $d = (5, 6, - 1)$
5118	Find the Adjoint	[[1,-3,0,-2],[3,-12,-2,-6],[-2,10,2,5],[-1,6,1,3]]	$[\begin{array}{c} 1 & - 3 & 0 & - 2 \\ 3 & - 12 & - 2 & - 6 \\ - 2 & 10 & 2 & 5 \\ - 1 & 6 & 1 & 3 \end{array}]$
5119	Find the Adjoint	(3A-i)^t=[[1,3],[1,0]]	${(3 A - i)}^{t} = [\begin{array}{c} 1 & 3 \\ 1 & 0 \end{array}]$
5120	Find the Adjoint	[[-15/(e^(3t)),0],[25/(e^(4t))-25/(e^(3t)),-15/(e^(4t))]]	$[\begin{array}{c} - \frac{15}{e^{3 t}} & 0 \\ (\frac{25}{e^{4 t}} - \frac{25}{e^{3 t}}) & - \frac{15}{e^{4 t}} \end{array}]$
5121	Find the Cartesian Product of A * B	A=(0,1,2) , B=(1,2,3)	$A = (0, 1, 2)$ , $B = (1, 2, 3)$
5122	Find the Cartesian Product of A * B	A=(2,1) , B=(3,4,2)	$A = (2, 1)$ , $B = (3, 4, 2)$
5123	Find the Cartesian Product of A * B	A={2,5} , B={3}	$A = {2, 5}$ , $B = {3}$
5124	Find the Cartesian Product of B * A	A=(9,1,2) , B=(3,4,1)	$A = (9, 1, 2)$ , $B = (3, 4, 1)$
5125	Find the Cartesian Product of v * u	u=(1,1,2) , v=(1,0,2)	$u = (1, 1, 2)$ , $v = (1, 0, 2)$
5126	Find the Length	-3j-4i	$- 3 j - 4 i$
5127	Find the Length	10i+3j	$10 i + 3 j$
5128	Find the Length	12i-9j	$12 i - 9 j$
5129	Find the Length	4i-5j	$4 i - 5 j$
5130	Find the Length	0.266i+1.266j	$0.266 i + 1.266 j$
5131	Find the Length	2i-j	$2 i - j$
5132	Find the Length	37i+12j	$37 i + 12 j$
5133	Find the Length	3i-4j	$3 i - 4 j$
5134	Find the Length	4i-3j	$4 i - 3 j$
5135	Solve Using an Inverse Matrix	-9x+27=8y , 3x-3y=-8	$- 9 x + 27 = 8 y$ , $3 x - 3 y = - 8$
5136	Find the Length	-5i+14j	$- 5 i + 14 j$
5137	Find the Length	5i+6j	$5 i + 6 j$
5138	Find the Length	7j-i	$7 j - i$
5139	Determine if A is a Proper Subset of B	A=(1,2,3) , B=(1,2,3)	$A = (1, 2, 3)$ , $B = (1, 2, 3)$
5140	Determine if A is a Proper Subset of B	A=(9,8,7) , B=(7,8)	$A = (9, 8, 7)$ , $B = (7, 8)$
5141	Find the Cardinality	{-4,-3,-2,-1,0,1,2,3}	${- 4, - 3, - 2, - 1, 0, 1, 2, 3}$
5142	Find the Cardinality	{7,12,17,22,27,32,42,47}	${7, 12, 17, 22, 27, 32, 42, 47}$
5143	Find the Power Set	{7,14,21,28}	${7, 14, 21, 28}$
5144	Find the Power Set	{8,9,10}	${8, 9, 10}$
5145	Find the Power Set	{9}	${9}$
5146	Find the Power Set	( log of 2x=1+ log of y-2)	${\log (2 x) = 1 + \log (y - 2)}$
5147	Find the Power Set	{w,x,y}	${w, x, y}$
5148	Find the Power Set	V={1,cos(t),cos(t)^2}	$V = {1, \cos (t), \cos^{2} (t)}$
5149	Find the Power Set	y={a,b,c,d,f}	$y = {a, b, c, d, f}$
5150	Find the Domain	2y-4x=-12	$2 y - 4 x = - 12$
5151	Find the Domain	-2x+5y=10	$- 2 x + 5 y = 10$
5152	Find the Domain	2x+y=-2	$2 x + y = - 2$
5153	Find the Domain	3x-y=5	$3 x - y = 5$
5154	Find the Domain	4x+3y=7	$4 x + 3 y = 7$
5155	Find the Domain	-5y^3*(4y^2)	$- 5 y^{3} \cdot (4 y^{2})$
5156	Find the Domain	5x-3y=6	$5 x - 3 y = 6$
5157	Find the Power Set	{45}	${45}$
5158	Find the Power Set	{6,14,11}	${6, 14, 11}$
5159	Find the Power Set	{6,7,8,9,10}	${6, 7, 8, 9, 10}$
5160	Find the Power Set	{1,8,27}	${1, 8, 27}$
5161	Find the Power Set	{11,12,13,14,15}	${11, 12, 13, 14, 15}$
5162	Find the Power Set	{1,2,3,4,5,6,7}	${1, 2, 3, 4, 5, 6, 7}$
5163	Find the Cardinality	(0,1)	$(0, 1)$
5164	Find the Cardinality	(-4,-pi/2)	$(- 4, - \frac{π}{2})$
5165	Find the Cardinality	(-4,0)	$(- 4, 0)$
5166	Find the Cardinality	(-4,-1)	$(- 4, - 1)$
5167	Find the Cardinality	(4,10)	$(4, 10)$
5168	Find the Cardinality	(4,-4)	$(4, - 4)$
5169	Find the Cardinality	(-4,5)	$(- 4, 5)$
5170	Find the Cardinality	(-4,-8)	$(- 4, - 8)$
5171	Find the Cardinality	(5,0)	$(5, 0)$
5172	Find the Cardinality	(-5,2)	$(- 5, 2)$
5173	Find the Cardinality	(5,-2)	$(5, - 2)$
5174	Find the Cardinality	(5,3)
5175	Find the Cardinality	(6,-4)	$(6, - 4)$
5176	Find the Cardinality	(6,-5)	$(6, - 5) \sqrt{7}$
5177	Find the Cardinality	(6,6)	$(6, 6)$
5178	Find the Cardinality	(8,-10)	$(8, - 10) (12 - 4)$
5179	Find the Cardinality	(-8,8)	$(- 8, 8)$
5180	Find the Cardinality	(8,9)	$(8, 9)$
5181	Find the Cardinality	(9,-8)	$(9, - 8)$
5182	Find the Cardinality	(4,3)	$(4, 3)$
5183	Find the Cardinality	a(2,1,0,1,-1)+b(-2,3,1,0,2)=(-8,8,3,-1,7)	$a (2, 1, 0, 1, - 1) + b (- 2, 3, 1, 0, 2) = (- 8, 8, 3, - 1, 7)$
5184	Find the Cardinality	A={1,2,3}	$A = {1, 2, 3}$
5185	Find the Cardinality	a={6,12,18}	$a = {6, 12, 18}$
5186	Find the Cardinality	B=(3, square root of 5,-1,0)	$B = {3, \sqrt{5}, - 1, 0}$
5187	Find the Cardinality	e=(t,w,o)	$e = (t, w, o)$
5188	Find the Cardinality	g(0)={x+4,ifx=-4}	$g (0) = {x + 4, i f x = - 4}$
5189	Find the Cardinality	H={-2,2,4,7}	$H = {- 2, 2, 4, 7}$
5190	Find the Cardinality	n={1,2,3,4}	$n = {1, 2, 3, 4}$
5191	Find the Cardinality	s=(-1,-2,1,2,-3,-4,3,4)	$s = (- 1, - 2, 1, 2, - 3, - 4, 3, 4)$
5192	Find the Cardinality	s={1,2x,x^2-4}	$s = {1, 2 x, x^{2} - 4}$
5193	Find the Cardinality	(2,4)	$(2, 4)$
5194	Find the Cardinality	(2,-6)	$(2, - 6)$
5195	Find the Cardinality	(-2,7)	$(- 2, 7)$
5196	Find the Cardinality	(2 square root of 2,3 square root of 2)	$(2 \sqrt{2}, 3 \sqrt{2})$
5197	Find the Cardinality	(20,23)	$(20, 23)$
5198	Find the Cardinality	(24,11)	$(24, 11)$
5199	Find the Cardinality	(28,40)	$(28, 40)$
5200	Find the Cardinality	(-3,-1)	$(- 3, - 1)$