Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
135301	Determine if the Vector is in the Column Space	A=[[-1],[5],[1]] , x=[[8],[2],[3]]	$A = [\begin{array}{c} - 1 \\ 5 \\ 1 \end{array}]$ , $x = [\begin{array}{c} 8 \\ 2 \\ 3 \end{array}]$
135302	Find a,b,c	y^2+6y=2	$y^{2} + 6 y = 2$
135303	Find a,b,c	-y^2-8y-16=0	$- y^{2} - 8 y - 16 = 0$
135304	Find a,b,c	-x^2-22x-121=0	$- x^{2} - 22 x - 121 = 0$
135305	Find a,b,c	-9y^2+24y-16=0	$- 9 y^{2} + 24 y - 16 = 0$
135306	Find a,b,c	-x^2+4x-2=0	$- x^{2} + 4 x - 2 = 0$
135307	Determine if Odd, Even, or Neither	square root of 3x	$\sqrt{3 x}$
135308	Determine if Odd, Even, or Neither	cube root of 9x^2	$\sqrt[3]{9 x^{2}}$
135309	Determine if Odd, Even, or Neither	1/(x+9)	$\frac{1}{x + 9}$
135310	Find the Dimensions	A=[[-1,2,3],[5,4,8],[7,8,9]]	$A = [\begin{array}{c} - 1 & 2 & 3 \\ 5 & 4 & 8 \\ 7 & 8 & 9 \end{array}]$
135311	Find the Dimensions	[[2.5],[-3.4],[-1.6],[12.5]]	$[\begin{array}{c} 2.5 \\ - 3.4 \\ - 1.6 \\ 12.5 \end{array}]$
135312	Determine if Odd, Even, or Neither	8x^4-2x-5	$8 x^{4} - 2 x - 5$
135313	Find the Parabola with Focus (0,4) and Directrix y=-4	(0,4) y=-4	$(0, 4)$ $y = - 4$
135314	Find the Parabola with Focus (-2,0) and Directrix x=2	(-2,0) x=2	$(- 2, 0)$ $x = 2$
135315	Find the Parabola with Focus (-4,8) and Directrix x=-6	(-4,8) x=-6	$(- 4, 8)$ $x = - 6$
135316	Find the Degree, Leading Term, and Leading Coefficient	9x^2	$9 x^{2}$
135317	Find the Degree, Leading Term, and Leading Coefficient	-6x+8x^9+6x+7x^2	$- 6 x + 8 x^{9} + 6 x + 7 x^{2}$
135318	Find the Degree, Leading Term, and Leading Coefficient	5x^2+7x-3	$5 x^{2} + 7 x - 3$
135319	Find the Degree, Leading Term, and Leading Coefficient	5x+x^5	$5 x + x^{5}$
135320	Find the Degree, Leading Term, and Leading Coefficient	h(x)=-3x^2+5x^3+x^4	$h (x) = - 3 x^{2} + 5 x^{3} + x^{4}$
135321	Find the Degree, Leading Term, and Leading Coefficient	9x	$9 x$
135322	Find the Degree, Leading Term, and Leading Coefficient	p(x)=-5x^4-6x^2+6	$p (x) = - 5 x^{4} - 6 x^{2} + 6$
135323	Find the Degree, Leading Term, and Leading Coefficient	h(x)=-6x^2+5x^3+x^4	$h (x) = - 6 x^{2} + 5 x^{3} + x^{4}$
135324	Identify the Progression	1/5 , 2/6 , 3/7 , 4/8 , 5/9	$\frac{1}{5}$ , $\frac{2}{6}$ , $\frac{3}{7}$ , $\frac{4}{8}$ , $\frac{5}{9}$
135325	Identify the Progression	2/3 , 1/6 , 1/24 , 1/96	$\frac{2}{3}$ , $\frac{1}{6}$ , $\frac{1}{24}$ , $\frac{1}{96}$
135326	Identify the Progression	1/3 , 2/3 , 1 , 4/3 , 5/3	$\frac{1}{3}$ , $\frac{2}{3}$ , $1$ , $\frac{4}{3}$ , $\frac{5}{3}$
135327	Find the Degree, Leading Term, and Leading Coefficient	x^8y	$x^{8} y$
135328	Determine if Perpendicular	x-4y=-8y=4x-4	$x - 4 y = - 8 y = 4 x - 4$
135329	Find the Degree, Leading Term, and Leading Coefficient	2x^2-5x+1	$2 x^{2} - 5 x + 1$
135330	Find the Degree, Leading Term, and Leading Coefficient	2x(3x)	$2 x (3 x)$
135331	Find the Degree, Leading Term, and Leading Coefficient	2x^5+5x^3+4x+3	$2 x^{5} + 5 x^{3} + 4 x + 3$
135332	Find the Degree, Leading Term, and Leading Coefficient	2x+y^4	$2 x + y^{4}$
135333	Find the Degree, Leading Term, and Leading Coefficient	2x^7-8x^6-3x^5-3	$2 x^{7} - 8 x^{6} - 3 x^{5} - 3$
135334	Find the Degree, Leading Term, and Leading Coefficient	4x^3-3.6^2- square root of 2	$4 x^{3} - {3.6}^{2} - \sqrt{2}$
135335	Find the Degree, Leading Term, and Leading Coefficient	3x^6+5x^3-7x^9	$3 x^{6} + 5 x^{3} - 7 x^{9}$
135336	Identify the Progression	-4 , 8 , -12 , 16 , ...	$- 4$ , $8$ , $- 12$ , $16$ , $\dots$
135337	Identify the Progression	4 , 8 , 16 , 32	$4$ , $8$ , $16$ , $32$
135338	Identify the Progression	5 , 20 , 80 , 320	$5$ , $20$ , $80$ , $320$
135339	Find the Parent Function	f(x)=4\|x\|-3	$f (x) = 4 \| x \| - 3$
135340	Find the Local Maxima and Minima	h(t)=44t-16t^2	$h (t) = 44 t - 16 t^{2}$
135341	Find Any Equation Perpendicular to the Line	y=8x-9	$y = 8 x - 9$
135342	Find Any Equation Perpendicular to the Line	y=2/3x+7	$y = \frac{2}{3} x + 7$
135343	Find Any Equation Perpendicular to the Line	y=-2/3x-6	$y = - \frac{2}{3} x - 6$
135344	Find Any Equation Perpendicular to the Line	y=3/2x+5	$y = \frac{3}{2} x + 5$
135345	Find Any Equation Perpendicular to the Line	y=2x-7	$y = 2 x - 7$
135346	Find Any Equation Perpendicular to the Line	y=4x+2	$y = 4 x + 2$
135347	Find Any Equation Perpendicular to the Line	4x-2y=6	$4 x - 2 y = 6$
135348	Find Any Equation Perpendicular to the Line	3x+2y=12	$3 x + 2 y = 12$
135349	Expand the Logarithmic Expression	natural log of fifth root of x^7	$\ln (\sqrt[5]{x^{7}})$
135350	Find the Tangent Given the Point	(5,-6)	$(5, - 6)$
135351	Find the Tangent Given the Point	(4/9,( square root of 65)/9)	$(\frac{4}{9}, \frac{\sqrt{65}}{9})$
135352	Find the Tangent Given the Point	(-12/37,-35/37)	$(- \frac{12}{37}, - \frac{35}{37})$
135353	Find the Tangent Given the Point	(28/53,45/53)	$(\frac{28}{53}, \frac{45}{53})$
135354	Find Any Equation Parallel to the Line	y=-1/3x+4	$y = - \frac{1}{3} x + 4$
135355	Find Any Equation Parallel to the Line	y=7x-5	$y = 7 x - 5$
135356	Find Any Equation Parallel to the Line	y=7x-3	$y = 7 x - 3$
135357	Find Any Equation Parallel to the Line	y=5x-9	$y = 5 x - 9$
135358	Find Any Equation Parallel to the Line	y=-4x+8	$y = - 4 x + 8$
135359	Find Any Equation Parallel to the Line	y=-4x+2	$y = - 4 x + 2$
135360	Find Any Equation Parallel to the Line	y=4x+1	$y = 4 x + 1$
135361	Find Any Equation Parallel to the Line	y=3x-10	$y = 3 x - 10$
135362	Find Any Equation Parallel to the Line	2x+3y=6	$2 x + 3 y = 6$
135363	Find the Tangent Given the Point	(-8,-6)	$(- 8, - 6)$
135364	Find the Tangent Given the Point	(8,-1/3)	$(8, \frac{- 1}{3})$
135365	Find the Trig Value	sin(pi/2)	$\sin (\frac{π}{2})$
135366	Find the Trig Value	sin(0)=( square root of 3)/2	$\sin (0) = \frac{\sqrt{3}}{2}$
135367	Find the Trig Value	sin(x)=5/13	$\sin (x) = \frac{5}{13}$
135368	Find the Variables	[[4,8],[2,5]]*[[x],[y]]=[[0],[6]]	$[\begin{array}{c} 4 & 8 \\ 2 & 5 \end{array}] \cdot [\begin{array}{c} x \\ y \end{array}] = [\begin{array}{c} 0 \\ 6 \end{array}]$
135369	Find the Variables	[[3x],[y+4]]=[[y+8],[17]]	$[\begin{array}{c} 3 x \\ y + 4 \end{array}] = [\begin{array}{c} y + 8 \\ 17 \end{array}]$
135370	Find the Variables	[[-7,9],[3,x]]=-62	$[\begin{array}{c} - 7 & 9 \\ 3 & x \end{array}] = - 62$
135371	Find the Variables	[[15,8],[4x,0]]-[[2,5],[x,3y+6]]=[[13,3],[12,4y+8]]	$[\begin{array}{c} 15 & 8 \\ 4 x & 0 \end{array}] - [\begin{array}{c} 2 & 5 \\ x & 3 y + 6 \end{array}] = [\begin{array}{c} 13 & 3 \\ 12 & 4 y + 8 \end{array}]$
135372	Find the Trig Value	cos(theta)=-12/13	$\cos (θ) = - \frac{12}{13}$
135373	Find Trig Functions Using Identities	cos(x)^2-sin(x)^2=2cos(x)^2-1	$\cos^{2} (x) - \sin^{2} (x) = 2 \cos^{2} (x) - 1$
135374	Reduce	(2x-2y-bx+by)/(2x-2y+bx-by)	$\frac{2 x - 2 y - b x + b y}{2 x - 2 y + b x - b y}$
135375	Reduce	(18x^3+12x^2-3x)÷6x^2	$(18 x^{3} + 12 x^{2} - 3 x) \div 6 x^{2}$
135376	Reduce	(-5jk)/(35j^2k^2)=	$\frac{- 5 j k}{35 j^{2} k^{2}} =$
135377	Reduce	(3r^2-48)/(6r^2+54r+120)	$\frac{3 r^{2} - 48}{6 r^{2} + 54 r + 120}$
135378	Reduce	((7x^2)/(2x+6))÷((3x-5)/(x+3))	$\frac{7 x^{2}}{2 x + 6} \div \frac{3 x - 5}{x + 3}$
135379	Reduce	((c^2-4)/(c+3))÷((c+2)/(3(c^2-9)))	$\frac{c^{2} - 4}{c + 3} \div \frac{c + 2}{3 (c^{2} - 9)}$
135380	Reduce	(y^2-4y-32)/(y^2-2y-48)	$\frac{y^{2} - 4 y - 32}{y^{2} - 2 y - 48}$
135381	Reduce	(y-2/3)/(y+1/5)	$\frac{y - \frac{2}{3}}{y + \frac{1}{5}}$
135382	Find the Eccentricity	42x^2+y^2=42	$42 x^{2} + y^{2} = 42$
135383	Find the Eccentricity	x^2+16y^2=4	$x^{2} + 16 y^{2} = 4$
135384	Find the Eccentricity	(x^2)/64+(y^2)/9=1	$\frac{x^{2}}{64} + \frac{y^{2}}{9} = 1$
135385	Find the Eccentricity	(x^2)/49+(y^2)/4=1	$\frac{x^{2}}{49} + \frac{y^{2}}{4} = 1$
135386	Find the Eccentricity	(x^2)/144+(y^2)/169=1	$\frac{x^{2}}{144} + \frac{y^{2}}{169} = 1$
135387	Solve the Triangle	10e-2e-9=39	$10 e - 2 e - 9 = 39$
135388	Solve the Triangle	pi=22/7	$π = \frac{22}{7}$
135389	Solve the Triangle	-4e-9=19	$- 4 e - 9 = 19$
135390	Find the Equation of the Parabola	(2,47) , (3,2) , (5,26)	$(2, 47)$ , $(3, 2)$ , $(5, 26)$
135391	Find the Equation of the Parabola	(2,9) , (2,10) , (2,11)	$(2, 9)$ , $(2, 10)$ , $(2, 11)$
135392	Find the Equation of the Parabola	(4,8) , (4,9) , (4,10)	$(4, 8)$ , $(4, 9)$ , $(4, 10)$
135393	Find the Equation of the Parabola	(-5,8) , (2,-3) , (3,1)	$(- 5, 8)$ , $(2, - 3)$ , $(3, 1)$
135394	Find the Equation of the Parabola	(1,3) , (-1,9) , (5,15)	$(1, 3) (- 1, 9) (5, 15)$
135395	Find the Equation of the Parabola	(-1,8) , (5,-4) , (7,8)	$(- 1, 8)$ , $(5, - 4)$ , $(7, 8)$
135396	Find the Equation of the Parabola	(-2,-23.5) , (0,-4.5) , (4,-26.5)	$(- 2, - 23.5) (0, - 4.5) (4, - 26.5)$
135397	Find the Equation of the Parabola	(14,35.4) , (15,40.2) , (16,46.0)	$(14, 35.4)$ , $(15, 40.2)$ , $(16, 46)$
135398	Find the Equation of the Parabola	(0,7) , (3,4) , (-1,12)	$(0, 7)$ , $(3, 4)$ , $(- 1, 12)$
135399	Solve the Triangle	s=2pirh	$s = 2 π r h$
135400	Find the Fourth Derivative	(2x+3y)^6	${(2 x + 3 y)}^{6}$