Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
140601	Write as a Set of Linear Factors	x^3-9x^2+25x-21	$x^{3} - 9 x^{2} + 25 x - 21$
140602	Write as a Set of Linear Factors	x^3-9x^2+22x-12	$x^{3} - 9 x^{2} + 22 x - 12$
140603	Write as a Set of Linear Factors	x^4-10x^3-70x^2-110x-51	$x^{4} - 10 x^{3} - 70 x^{2} - 110 x - 51$
140604	Write as a Set of Linear Factors	x^4-4x^3+13x^2-36x+36	$x^{4} - 4 x^{3} + 13 x^{2} - 36 x + 36$
140605	Simplify the Matrix	[[1,0,2,7],[0,1,-2,5],[0,0,0,-3]]	$[\begin{array}{c} 1 & 0 & 2 & 7 \\ 0 & 1 & - 2 & 5 \\ 0 & 0 & 0 & - 3 \end{array}]$
140606	Simplify the Matrix	[[1,0,5,1],[0,1,-3,4],[0,0,0,0]]	$[\begin{array}{c} 1 & 0 & 5 & 1 \\ 0 & 1 & - 3 & 4 \\ 0 & 0 & 0 & 0 \end{array}]$
140607	Evaluate the Integral	integral of (3x+6)(x+2) with respect to x	$\int (3 x + 6) (x + 2) d x$
140608	Evaluate the Integral	integral of (5x^4+8x^3+9x^2+4x+3) with respect to x	$\int (5 x^{4} + 8 x^{3} + 9 x^{2} + 4 x + 3) d x$
140609	Evaluate the Integral	integral of (6x^2+4x) with respect to x	$\int (6 x^{2} + 4 x) d x$
140610	Evaluate the Integral	integral of (10+0.01x-0.001x^2) with respect to x	$\int (10 + 0.01 x - 0.001 x^{2}) d x$
140611	Simplify the Matrix	5[[6,1,2,-6]]-[[1,6,-6,6]]	$5 [\begin{array}{c} 6 & 1 & 2 & - 6 \end{array}] - [\begin{array}{c} 1 & 6 & - 6 & 6 \end{array}]$
140612	Simplify the Matrix	A=[[1,1],[2,6]]B=[[-1,9],[6,-2]]	$A = [\begin{array}{c} 1 & 1 \\ 2 & 6 \end{array}] B = [\begin{array}{c} - 1 & 9 \\ 6 & - 2 \end{array}]$
140613	Simplify the Matrix	table[[x,y],[-20,-268],[-14,-196],[-8,-124]]	$\begin{array}{c} x & y \\ - 20 & - 268 \\ - 14 & - 196 \\ - 8 & - 124 \end{array}$
140614	Simplify the Matrix	-3y[[-2x,-y],[-4y,-3x]]	$- 3 y [\begin{array}{c} - 2 x & - y \\ - 4 y & - 3 x \end{array}]$
140615	Simplify the Matrix	3[[3/2,0,-2],[3,1/2,2]]+2[[-4,5/2,2/3],[1/3,1,2]]	$3 [\begin{array}{c} \frac{3}{2} & 0 & - 2 \\ 3 & \frac{1}{2} & 2 \end{array}] + 2 [\begin{array}{c} - 4 & \frac{5}{2} & \frac{2}{3} \\ \frac{1}{3} & 1 & 2 \end{array}]$
140616	Simplify the Matrix	table[[x,y],[1,2],[2,3],[3,4]]	$\begin{array}{c} x & y \\ 1 & 2 \\ 2 & 3 \\ 3 & 4 \end{array}$
140617	Simplify the Matrix	table[[x,y],[1,3],[2,7],[3,11]]	$\begin{array}{c} x & y \\ 1 & 3 \\ 2 & 7 \\ 3 & 11 \end{array}$
140618	Simplify the Matrix	table[[x,y],[1,4],[2,6],[3,7]]	$\begin{array}{c} x & y \\ 1 & 4 \\ 2 & 6 \\ 3 & 7 \end{array}$
140619	Simplify the Matrix	[[-7,1],[0,3]]^2	${[\begin{array}{c} - 7 & 1 \\ 0 & 3 \end{array}]}^{2}$
140620	Simplify the Matrix	[[6x+4y],[7K-7z],[-3W+9V],[7M-8N]]-[[-3x-6y],[-5K-9Z],[-5W+5V],[4M-5N]]	$[\begin{array}{c} 6 x + 4 y \\ 7 K - 7 z \\ - 3 W + 9 V \\ 7 M - 8 N \end{array}] - [\begin{array}{c} - 3 x - 6 y \\ - 5 K - 9 Z \\ - 5 W + 5 V \\ 4 M - 5 N \end{array}]$
140621	Simplify the Matrix	[[6,y],[18,z]]-3[[x+1,2],[0,1]]=[[18,17],[9w,4z]]	$[\begin{array}{c} 6 & y \\ 18 & z \end{array}] - 3 [\begin{array}{c} x + 1 & 2 \\ 0 & 1 \end{array}] = [\begin{array}{c} 18 & 17 \\ 9 w & 4 z \end{array}]$
140622	Simplify the Matrix	[[5,2],[3,0]]-2[[4,3],[-1,6]]+[[2,8],[0,5]]	$[\begin{array}{c} 5 & 2 \\ 3 & 0 \end{array}] - 2 [\begin{array}{c} 4 & 3 \\ - 1 & 6 \end{array}] + [\begin{array}{c} 2 & 8 \\ 0 & 5 \end{array}]$
140623	Simplify the Matrix	[[a_11,a_12],[a_21,a_22]]+[[b_11,b_12],[b_21,b_22]]	$[\begin{array}{c} a_{11} & a_{12} \\ a_{21} & a_{22} \end{array}] + [\begin{array}{c} b_{11} & b_{12} \\ b_{21} & b_{22} \end{array}]$
140624	Simplify the Matrix	[[3,6,9],[2,4,8]]	$[\begin{array}{c} 3 & 6 & 9 \\ 2 & 4 & 8 \end{array}]$
140625	Simplify the Matrix	[[4],[-2]]-[[-1],[2]]-[[0],[5]]	$[\begin{array}{c} 4 \\ - 2 \end{array}] - [\begin{array}{c} - 1 \\ 2 \end{array}] - [\begin{array}{c} 0 \\ 5 \end{array}]$
140626	Simplify the Matrix	[[2,4],[x,3]]=-2	$[\begin{array}{c} 2 & 4 \\ x & 3 \end{array}] = - 2$
140627	Simplify the Matrix	[[-2,8],[-11,5]]+3[[5,3,-11],[44,0,5],[-3,2,8]]	$[\begin{array}{c} - 2 & 8 \\ - 11 & 5 \end{array}] + 3 [\begin{array}{c} 5 & 3 & - 11 \\ 44 & 0 & 5 \\ - 3 & 2 & 8 \end{array}]$
140628	Simplify the Matrix	[[-2],[-6]]-3[[-6],[0]]	$[\begin{array}{c} - 2 \\ - 6 \end{array}] - 3 [\begin{array}{c} - 6 \\ 0 \end{array}]$
140629	Find the Slope and y-intercept	(0,0) , (1,4)	$(0, 0) (1, 4)$
140630	Find the Intersection of the Sets	A={-2,0,2,4,6,8}B={0,4,8,12,16}	$A = {- 2, 0, 2, 4, 6, 8} B = {0, 4, 8, 12, 16}$
140631	Find the Intersection of the Sets	A={-4,-6,6,4} , B={-8,-4,-5,-6,0}	$A = {- 4, - 6, 6, 4}$ , $B = {- 8, - 4, - 5, - 6, 0}$
140632	Find the Intersection of the Sets	{5,6,7,8,9} union {1,2,3,4}	${5, 6, 7, 8, 9} \cup {1, 2, 3, 4}$
140633	Find the Intersection of the Sets	{4,5,7,8} intersect {5,8,9}	${4, 5, 7, 8} \cap {5, 8, 9}$
140634	Find the Intersection of the Sets	{1,4,7,10} intersect {2,5,8,11,14}	${1, 4, 7, 10} \cap {2, 5, 8, 11, 14}$
140635	Find the Intersection of the Sets	{0,3,6,9,12} union {6,7,8}	${0, 3, 6, 9, 12} \cup {6, 7, 8}$
140636	Find the Intersection of the Sets	{1,2,4,6} intersect {0,2,6,7}	${1, 2, 4, 6} \cap {0, 2, 6, 7}$
140637	Find the Slope and y-intercept	(-6,5) , (-3,3) , (0,1)	$(- 6, 5)$ , $(- 3, 3)$ , $(0, 1)$
140638	Find the Slope and y-intercept	(-6,0) , (0,7)	$(- 6, 0) (0, 7)$
140639	Find the Slope and y-intercept	(-6,-4) , (-2,-2)	$(- 6, - 4) (- 2, - 2)$
140640	Find the Slope and y-intercept	(-5,6) , (5,2)	$(- 5, 6)$ , $(5, 2)$
140641	Find the Slope and y-intercept	(-5,2) , (5,4)	$(- 5, 2) (5, 4)$
140642	Find the Slope and y-intercept	(-5,0) , (0,1)	$(- 5, 0) (0, 1)$
140643	Find the Slope and y-intercept	(-5,-1) , (5,13)	$(- 5, - 1)$ , $(5, 13)$
140644	Find the Slope and y-intercept	(5,10) , (7,14)	$(5, 10) (7, 14)$
140645	Find the Slope and y-intercept	(-4,1) , (4,7)	$(- 4, 1) (4, 7)$
140646	Find the Slope and y-intercept	(4,-3) , (8,5)	$(4, - 3) (8, 5)$
140647	Find the Slope and y-intercept	(-4,2) , (6,-3)	$(- 4, 2) (6, - 3)$
140648	Find the Slope and y-intercept	(-4,47) , (2,-16)	$(- 4, 47) (2, - 16)$
140649	Find the Slope and y-intercept	(4,5) , (12,11)	$(4, 5) (12, 11)$
140650	Find the Slope and y-intercept	(2,-5) , (-4,1)	$(2, - 5) (- 4, 1)$
140651	Find the Slope and y-intercept	(2,4) , (3,6)	$(2, 4) (3, 6)$
140652	Find the Slope and y-intercept	(-2,-20) , (0,-12)	$(- 2, - 20) (0, - 12)$
140653	Find the Slope and y-intercept	(2,3) , (6,5)	$(2, 3) (6, 5)$
140654	Find the Slope and y-intercept	(3,2) , (4,9)	$(3, 2) (4, 9)$
140655	Find the Slope and y-intercept	(-3,5) , (6,2)	$(- 3, 5) (6, 2)$
140656	Find the Slope and y-intercept	(-3,5) , (9,1)	$(- 3, 5)$ , $(9, 1)$
140657	Find the Slope and y-intercept	(2,11) , (-8,-19)	$(2, 11) (- 8, - 19)$
140658	Find the Slope and y-intercept	(2,-18) , (6,-27) , (10,-36)	$(2, - 18) (6, - 27) (10, - 36)$
140659	Find the Slope and y-intercept	(2,1) , (-2,5)	$(2, 1) (- 2, 5)$
140660	Find the Slope and y-intercept	(-2,1) , (4,6)	$(- 2, 1) (4, 6)$
140661	Find the Slope and y-intercept	(-14,9) , (-10,18)	$(- 14, 9) (- 10, 18)$
140662	Find the Slope and y-intercept	(15,-3) , (20,-5)	$(15, - 3) (20, - 5)$
140663	Find the Slope and y-intercept	(15,-3) , (20,-5) , (25,-7)	$(15, - 3) (20, - 5) (25, - 7)$
140664	Find the Slope and y-intercept	(1,6) , (-1,8)	$(1, 6) (- 1, 8)$
140665	Find the Slope and y-intercept	(1,2) , (2,5)	$(1, 2) (2, 5)$
140666	Find the Slope and y-intercept	(1,2) , (3,10) , (5,18)	$(1, 2) (3, 10) (5, 18)$
140667	Find the Slope and y-intercept	(-1,2) , (3,-5)	$(- 1, 2) (3, - 5)$
140668	Find the Slope and y-intercept	(1,2) , (3,8)	$(1, 2) (3, 8)$
140669	Find the Slope and y-intercept	(0,0) , (2,5)	$(0, 0) (2, 5)$
140670	Find the Slope and y-intercept	(0,3) , (1,7)	$(0, 3) (1, 7)$
140671	Find the Slope and y-intercept	(0,2) , (1,7) , (2,12) , (3,17) , (4,22)	$(0, 2)$ , $(1, 7)$ , $(2, 12)$ , $(3, 17)$ , $(4, 22)$
140672	Find the Slope and y-intercept	(1,0) , (0,-5)	$(1, 0) (0, - 5)$
140673	Find the Slope and y-intercept	(0,6) , (6,0)	$(0, 6) (6, 0)$
140674	Find the Slope and y-intercept	(0,5) , (1,3)	$(0, 5) (1, 3)$
140675	Find the Slope and y-intercept	(0,-5) , (2,3)	$(0, - 5) (2, 3)$
140676	Find the Slope and y-intercept	(0,5) , (1,4) , (2,3) , (3,2) , (4,1)	$(0, 5)$ , $(1, 4)$ , $(2, 3)$ , $(3, 2)$ , $(4, 1)$
140677	Find the Slope and y-intercept	(0,4) , (2,-2)	$(0, 4) (2, - 2)$
140678	Find the Slope and y-intercept	(0,4) , (3,5)	$(0, 4) (3, 5)$
140679	Find the Slope and y-intercept	(-7,4) , (1,4)	$(- 7, 4)$ , $(1, 4)$
140680	Find the Slope and y-intercept	(-7,-5) , (-7,7)	$(- 7, - 5)$ , $(- 7, 7)$
140681	Find the Slope and y-intercept	(-8,-1) , (-6,5)	$(- 8, - 1) (- 6, 5)$
140682	Find the Slope and y-intercept	(8,-16) , (1,5)	$(8, - 16) (1, 5)$
140683	Find the Slope and y-intercept	(7,0) , (0,10)	$(7, 0) (0, 10)$
140684	Find the Slope and y-intercept	(-9,7) , (9,1)	$(- 9, 7)$ , $(9, 1)$
140685	Find the Concavity	y=x square root of 2-x^2	$y = x \sqrt{2 - x^{2}}$
140686	Find the Trig Value	sin(pi/2)cos(pi/6)-cos(pi/2)sin(pi/6)	$\sin (\frac{π}{2}) \cos (\frac{π}{6}) - \cos (\frac{π}{2}) \sin (\frac{π}{6})$
140687	Find the Trig Value	sin(-pi/4)	$\sin (- \frac{π}{4})$
140688	Find the Trig Value	csc(x)=-2	$\csc (x) = - 2$
140689	Find the Trig Value	cot(x)=- square root of 3	$\cot (x) = - \sqrt{3}$
140690	Find the Trig Value	cot(x)^2	$\cot^{2} (x)$
140691	Find the Trig Value	cos(x)=5/13	$\cos (x) = \frac{5}{13}$
140692	Find the Trig Value	sin((4pi)/3)	$\sin (\frac{4 π}{3})$
140693	Find the Trig Value	sin((5pi)/12)cos(pi/4)-cos((5pi)/12)sin(pi/4)	$\sin (\frac{5 π}{12}) \cos (\frac{π}{4}) - \cos (\frac{5 π}{12}) \sin (\frac{π}{4})$
140694	Find the Trig Value	sin(3theta)=-1	$\sin (3 t h e t a) = - 1$
140695	Find the Trig Value	sin(-3x)	$\sin (- 3 x)$
140696	Find the Trig Value	sin(2x)=-( square root of 3)/2	$\sin (2 x) = - \frac{\sqrt{3}}{2}$
140697	Find the Trig Value	sin((13pi)/4)	$\sin (\frac{13 π}{4})$
140698	Find the Trig Value	sin(x+(11pi)/6)	$\sin (x + \frac{11 π}{6})$
140699	Find the Trig Value	arcsin(0.65)	$\arcsin (0.65)$
140700	Find the Trig Value	sin(x)=-1/4	$\sin (x) = - \frac{1}{4}$