Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
137101	Find the Parabola with Focus (3,5) and Directrix y=1	(3,5) , y=1	$(3, 5)$ , $y = 1$
137102	Find the Parabola with Focus (3,-7) and Directrix y=-4	(3,-7) y=-4	$(3, - 7)$ $y = - 4$
137103	Find the Parabola with Focus (-6,0) and Directrix x=-2	(-6,0) x=-2	$(- 6, 0)$ $x = - 2$
137104	Find Reduced Row Echelon Form	[[1,0,0,4],[3,1,0,11/3],[0,-3,0,25]]	$[\begin{array}{c} 1 & 0 & 0 & 4 \\ 3 & 1 & 0 & \frac{11}{3} \\ 0 & - 3 & 0 & 25 \end{array}]$
137105	Find Reduced Row Echelon Form	[[-4,11,58],[1,-3,-16]]	$[\begin{array}{c} - 4 & 11 & 58 \\ 1 & - 3 & - 16 \end{array}]$
137106	Find the Function Rule	table[[x,q(x)],[1,34],[2,56],[3,78],[4,100]]	$\begin{array}{c} x & q (x) \\ 1 & 34 \\ 2 & 56 \\ 3 & 78 \\ 4 & 100 \end{array}$
137107	Find the Function Rule	table[[x,y],[0,1],[1,2],[2,9]]	$\begin{array}{c} x & y \\ 0 & 1 \\ 1 & 2 \\ 2 & 9 \end{array}$
137108	Find Reduced Row Echelon Form	[[8,-8,-8,-48],[2,2,4,50],[-3,-8,-4,-105]]	$[\begin{array}{c} 8 & - 8 & - 8 & - 48 \\ 2 & 2 & 4 & 50 \\ - 3 & - 8 & - 4 & - 105 \end{array}]$
137109	Find Reduced Row Echelon Form	[[-15,-3,-63],[6,1,26]]	$[\begin{array}{c} - 15 & - 3 & - 63 \\ 6 & 1 & 26 \end{array}]$
137110	Find Reduced Row Echelon Form	[[1,250000,1,0,0,29000],[1,500000,0,1,0,42000],[-45,-15000000,0,0,1,0]]	$[\begin{array}{c} 1 & 250000 & 1 & 0 & 0 & 29000 \\ 1 & 500000 & 0 & 1 & 0 & 42000 \\ - 45 & - 15000000 & 0 & 0 & 1 & 0 \end{array}]$
137111	Find Reduced Row Echelon Form	[[1,10,2,7],[2,18,18,17],[-3,-30,-4,-29],[1,10,2,10]]	$[\begin{array}{c} 1 & 10 & 2 & 7 \\ 2 & 18 & 18 & 17 \\ - 3 & - 30 & - 4 & - 29 \\ 1 & 10 & 2 & 10 \end{array}]$
137112	Solve the Matrix Equation	x=[[3,4],[2,-2]]	$x = [\begin{array}{c} 3 & 4 \\ 2 & - 2 \end{array}]$
137113	Solve the Matrix Equation	X+[[20,-9,-3],[19,-2,-5],[-1,0,-8]]=[[-7,92,-5],[0,91,-6],[-9,-1,12]]	$X + [\begin{array}{c} 20 & - 9 & - 3 \\ 19 & - 2 & - 5 \\ - 1 & 0 & - 8 \end{array}] = [\begin{array}{c} - 7 & 92 & - 5 \\ 0 & 91 & - 6 \\ - 9 & - 1 & 12 \end{array}]$
137114	Solve the Matrix Equation	2x+[[2,5],[5,-4]]=[[2,-2],[3,5]]	$2 x + [\begin{array}{c} 2 & 5 \\ 5 & - 4 \end{array}] = [\begin{array}{c} 2 & - 2 \\ 3 & 5 \end{array}]$
137115	Solve the Matrix Equation	d+[[-1,-15],[0,7]]=[[8,-4],[-14,12]]	$d + [\begin{array}{c} - 1 & - 15 \\ 0 & 7 \end{array}] = [\begin{array}{c} 8 & - 4 \\ - 14 & 12 \end{array}]$
137116	Solve the Matrix Equation	[[5,11,3]]-[[2,0,2]]=[[3,x,1]]	$[\begin{array}{c} 5 & 11 & 3 \end{array}] - [\begin{array}{c} 2 & 0 & 2 \end{array}] = [\begin{array}{c} 3 & x & 1 \end{array}]$
137117	Solve the Matrix Equation	[[9,-5],[11,-5]]X=[[22],[28]]	$[\begin{array}{c} 9 & - 5 \\ 11 & - 5 \end{array}] X = [\begin{array}{c} 22 \\ 28 \end{array}]$
137118	Solve the Matrix Equation	[[5x],[14]]=[[4+x],[2y-2]]	$[\begin{array}{c} 5 x \\ 14 \end{array}] = [\begin{array}{c} 4 + x \\ 2 y - 2 \end{array}]$
137119	Find the Function Rule	table[[x,y],[0,2],[1,3],[2,4]]	$\begin{array}{c} x & y \\ 0 & 2 \\ 1 & 3 \\ 2 & 4 \end{array}$
137120	Find the Function Rule	table[[x,y],[0,-5],[1,-15],[2,-45]]	$\begin{array}{c} x & y \\ 0 & - 5 \\ 1 & - 15 \\ 2 & - 45 \end{array}$
137121	Find the Function Rule	table[[x,y],[0,5],[3,4],[5,3.2]]	$\begin{array}{c} x & y \\ 0 & 5 \\ 3 & 4 \\ 5 & 3.2 \end{array}$
137122	Find the Function Rule	table[[x,y],[1,0],[2,1],[3,2]]	$\begin{array}{c} x & y \\ 1 & 0 \\ 2 & 1 \\ 3 & 2 \end{array}$
137123	Find the Function Rule	table[[x,y],[1,1],[2,6],[3,11]]	$\begin{array}{c} x & y \\ 1 & 1 \\ 2 & 6 \\ 3 & 11 \end{array}$
137124	Find the Function Rule	table[[x,y],[-1,-2],[0,0],[1,2]]	$\begin{array}{c} x & y \\ - 1 & - 2 \\ 0 & 0 \\ 1 & 2 \end{array}$
137125	Find the Function Rule	table[[x,y],[1,-8],[2,-16],[3,-32]]	$\begin{array}{c} x & y \\ 1 & - 8 \\ 2 & - 16 \\ 3 & - 32 \end{array}$
137126	Find the Function Rule	table[[x,y],[1,-9],[2,-27],[3,-81]]	$\begin{array}{c} x & y \\ 1 & - 9 \\ 2 & - 27 \\ 3 & - 81 \end{array}$
137127	Solve the Matrix Equation	[[2,5],[7,18]]x=[[2,-1],[3,2]]	$[\begin{array}{c} 2 & 5 \\ 7 & 18 \end{array}] x = [\begin{array}{c} 2 & - 1 \\ 3 & 2 \end{array}]$
137128	Solve the Matrix Equation	[[1,3],[7,2]]*[[5,4],[3,2]]=[[a_11,a_12],[a_21,a_22]]	$[\begin{array}{c} 1 & 3 \\ 7 & 2 \end{array}] \cdot [\begin{array}{c} 5 & 4 \\ 3 & 2 \end{array}] = [\begin{array}{c} a_{11} & a_{12} \\ a_{21} & a_{22} \end{array}]$
137129	Find the Function Rule	table[[x,y],[4,2],[5,3],[6,4]]	$\begin{array}{c} x & y \\ 4 & 2 \\ 5 & 3 \\ 6 & 4 \end{array}$
137130	Find the Local Maxima and Minima	f(x)=2(x-4)^4	$f (x) = 2 {(x - 4)}^{4}$
137131	Find the Local Maxima and Minima	f(x)=2x^3+6x^2-18x+7	$f (x) = 2 x^{3} + 6 x^{2} - 18 x + 7$
137132	Find the Local Maxima and Minima	g(x)=4x^3-24x+9	$g (x) = 4 x^{3} - 24 x + 9$
137133	Find the Local Maxima and Minima	p(x)=230+40x-0.5x^2	$p (x) = 230 + 40 x - 0.5 x^{2}$
137134	Find the Local Maxima and Minima	h(x)=1/8x^3-x^2	$h (x) = \frac{1}{8} x^{3} - x^{2}$
137135	Find the Local Maxima and Minima	g(x)=x^3-2.4x+2	$g (x) = x^{3} - 2.4 x + 2$
137136	Find Any Equation Perpendicular to the Line	y=6x-2	$y = 6 x - 2$
137137	Find Any Equation Perpendicular to the Line	y=4x-5	$y = 4 x - 5$
137138	Find Any Equation Perpendicular to the Line	y=4x-6	$y = 4 x - 6$
137139	Find Any Equation Perpendicular to the Line	y=4x-7	$y = 4 x - 7$
137140	Find Any Equation Perpendicular to the Line	y=4x-9	$y = 4 x - 9$
137141	Find Any Equation Perpendicular to the Line	y=5x+2	$y = 5 x + 2$
137142	Find Any Equation Perpendicular to the Line	y=-2/3x-5	$y = - \frac{2}{3} x - 5$
137143	Find Any Equation Perpendicular to the Line	y=-3/4x+1	$y = - \frac{3}{4} x + 1$
137144	Find Any Equation Perpendicular to the Line	y=-7/3x+7	$y = - \frac{7}{3} x + 7$
137145	Find Any Equation Perpendicular to the Line	y=7/8x-2	$y = \frac{7}{8} x - 2$
137146	Find Any Equation Perpendicular to the Line	y=4/3x-6	$y = \frac{4}{3} x - 6$
137147	Find Any Equation Perpendicular to the Line	y=-4x+1	$y = - 4 x + 1$
137148	Find Any Equation Perpendicular to the Line	y=1/2x+1	$y = \frac{1}{2} x + 1$
137149	Find Any Equation Perpendicular to the Line	y=-1/2x+5	$y = - \frac{1}{2} x + 5$
137150	Find Any Equation Perpendicular to the Line	y=1/3x+6	$y = \frac{1}{3} x + 6$
137151	Find Any Equation Perpendicular to the Line	4x-y=-8	$4 x - y = - 8$
137152	Find Any Equation Perpendicular to the Line	x+3y=-24	$x + 3 y = - 24$
137153	Find Any Equation Perpendicular to the Line	-x+5y=14 ; (-5,-2)	$- x + 5 y = 14$ ; $(- 5, - 2)$
137154	Convert to Rectangular	8(cos((2pi)/3)+isin((2pi)/3))	$8 (\cos (\frac{2 π}{3}) + i \sin (\frac{2 π}{3}))$
137155	Convert to Rectangular	9(cos(300)+isin(300))	$9 (\cos (300) + i \sin (300))$
137156	Convert to Rectangular	8(cos(270)+isin(270))	$8 (\cos (270) + i \sin (270))$
137157	Convert to Rectangular	7(cos(240)+isin(240))	$7 (\cos (240) + i \sin (240))$
137158	Convert to Rectangular	7(cos((5pi)/6)+isin((5pi)/6))	$7 (\cos (\frac{5 π}{6}) + i \sin (\frac{5 π}{6}))$
137159	Convert to Rectangular	7(cos((3pi)/2)+isin((3pi)/2))	$7 (\cos (\frac{3 π}{2}) + i \sin (\frac{3 π}{2}))$
137160	Convert to Rectangular	64(cos(45)+isin(45))	$64 (\cos (45) + i \sin (45))$
137161	Convert to Rectangular	6(cos(60)+isin(60))	$6 (\cos (60) + i \sin (60))$
137162	Convert to Rectangular	5(cos(pi/9)+isin(pi/9))	$5 (\cos (\frac{π}{9}) + i \sin (\frac{π}{9}))$
137163	Convert to Rectangular	5(cos(120)+isin(120))	$5 (\cos (120) + i \sin (120))$
137164	Convert to Rectangular	4(cos(315)+isin(315))	$4 (\cos (315) + i \sin (315))$
137165	Convert to Rectangular	5(cos(60)+isin(60))	$5 (\cos (60) + i \sin (60))$
137166	Convert to Rectangular	6(cos((9pi)/4)+isin((9pi)/4))	$6 (\cos (\frac{9 π}{4}) + i \sin (\frac{9 π}{4}))$
137167	Convert to Rectangular	5(cos(330)+isin(330))	$5 (\cos (330) + i \sin (330))$
137168	Convert to Rectangular	r=12	$r = 12$
137169	Convert to Rectangular	r^2=cos(x)	$r^{2} = \cos (x)$
137170	Convert to Rectangular	r=1/(1-cos(x))	$r = \frac{1}{1 - \cos (x)}$
137171	Convert to Rectangular	rsin(theta)=2	$r \sin (θ) = 2$
137172	Convert to Rectangular	z=2(cos((5pi)/6)+isin((5pi)/6))	$z = 2 (\cos (\frac{5 π}{6}) + i \sin (\frac{5 π}{6}))$
137173	Convert to Rectangular	rcos(theta)=-2	$r \cos (θ) = - 2$
137174	Divide Using Long Division	824÷5	$824 \div 5$
137175	Divide Using Long Division	6116÷282	$6116 \div 282$
137176	Divide Using Long Division	393÷8	$393 \div 8$
137177	Convert to Rectangular	(5(cos(200)+isin(200)))/(4(cos(50)+isin(50)))	$\frac{5 (\cos (200) + i \sin (200))}{4 (\cos (50) + i \sin (50))}$
137178	Convert to Rectangular	( square root of 10(cis^85))^6	${(\sqrt{10} (c i s^{85}))}^{6}$
137179	Convert to Rectangular	( square root of 14(cos(120)+isin(120)))^4	${(\sqrt{14} (\cos (120) + i \sin (120)))}^{4}$
137180	Convert to Rectangular	(1-i)^5	${(1 - i)}^{5}$
137181	Convert to Rectangular	(1+i)^3	${(1 + i)}^{3}$
137182	Convert to Rectangular	10(cos((3pi)/2)+isin((3pi)/2))	$10 (\cos (\frac{3 π}{2}) + i \sin (\frac{3 π}{2}))$
137183	Convert to Rectangular	10(cos(pi)+isin(pi))	$10 (\cos (π) + i \sin (π))$
137184	Convert to Rectangular	(5(cos(10)+isin(10)))^3	${(5 (\cos (10) + i \sin (10)))}^{3}$
137185	Convert to Rectangular	(6(cos(20)+isin(20)))^3	${(6 (\cos (20) + i \sin (20)))}^{3}$
137186	Convert to Rectangular	( square root of 6(cos(120)+isin(120)))^4	${(\sqrt{6} (\cos (120) + i \sin (120)))}^{4}$
137187	Convert to Rectangular	(2(cos(80)+isin(80)))^3	${(2 (\cos (80) + i \sin (80)))}^{3}$
137188	Convert to Rectangular	(3(cos(30)+isin(30)))^2	${(3 (\cos (30) + i \sin (30)))}^{2}$
137189	Convert to Rectangular	(3(cos(75)+isin(75)))^3	${(3 (\cos (75) + i \sin (75)))}^{3}$
137190	Convert to Rectangular	4(cos(225)+isin(225))	$4 (\cos (225) + i \sin (225))$
137191	Convert to Rectangular	4(cos((8pi)/3)+isin((8pi)/3))	$4 (\cos (\frac{8 π}{3}) + i \sin (\frac{8 π}{3}))$
137192	Convert to Rectangular	4(cos((7pi)/3)+isin((7pi)/3))	$4 (\cos (\frac{7 π}{3}) + i \sin (\frac{7 π}{3}))$
137193	Convert to Rectangular	3(cos(330)+isin(330))	$3 (\cos (330) + i \sin (330))$
137194	Convert to Rectangular	3(cos(135)+isin(135))	$3 (\cos (135) + i \sin (135))$
137195	Convert to Rectangular	2 square root of 2(cos(45)+isin(45))	$2 \sqrt{2} (\cos (45) + i \sin (45))$
137196	Convert to Rectangular	20(cos(240)+isin(240))	$20 (\cos (240) + i \sin (240))$
137197	Convert to Rectangular	2(cos(210)+isin(210))	$2 (\cos (210) + i \sin (210))$
137198	Convert to Rectangular	16(cos(120)+isin(120))	$16 (\cos (120) + i \sin (120))$
137199	Convert to Rectangular	16(cos(150)+isin(150))	$16 (\cos (150) + i \sin (150))$
137200	Find the Slope and y-intercept	h(x)=-5x+2	$h (x) = - 5 x + 2$