Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
41001	Calculate the Square Root	square root of 100	$\sqrt{100}$
41002	Find the Trig Value	sin(theta)=4/5	$\sin (θ) = \frac{4}{5}$
41003	Find the Standard Form of the Parabola	y^2-3x+6y+27=0	$y^{2} - 3 x + 6 y + 27 = 0$
41004	Find the Inverse	[[5,8,1],[6,1,9],[7,5,7]]	$[\begin{array}{c} 5 & 8 & 1 \\ 6 & 1 & 9 \\ 7 & 5 & 7 \end{array}]$
41005	Find the Eccentricity	(x^2)/64+(y^2)/100=1	$\frac{x^{2}}{64} + \frac{y^{2}}{100} = 1$
41006	Find the Inverse	[[8,23],[2,6]]	$[\begin{array}{c} 8 & 23 \\ 2 & 6 \end{array}]$
41007	Use the Rational Roots Test to Find All Possible Roots	x^3+2x^2-5x-6=0	$x^{3} + 2 x^{2} - 5 x - 6 = 0$
41008	Find the Domain	f(x) = square root of 9-x	$f (x) = \sqrt{9 - x}$
41009	Add	[[2,4],[6,8]]+[[10,12],[14,16]]	$[\begin{array}{c} 2 & 4 \\ 6 & 8 \end{array}] + [\begin{array}{c} 10 & 12 \\ 14 & 16 \end{array}]$
41010	Find the Roots/Zeros Using the Rational Roots Test	x^3+2x^2-5x-6=0	$x^{3} + 2 x^{2} - 5 x - 6 = 0$
41011	Find the LCM	1 , 3 , 5	$1$ , $3$ , $5$
41012	Find the Equation Given the Roots	-3 , -3 , 2-5i	$- 3$ , $- 3$ , $2 - 5 i$
41013	Find the Vertex	f(x)=x^2-6x+11	$f (x) = x^{2} - 6 x + 11$
41014	Find the Range	y=sin(x)	$y = \sin (x)$
41015	Solve the System of @WORD	2x-11<4x-1	$2 x - 11 < 4 x - 1$
41016	Find the Domain	f(x) = log base 7 of x-x^10	$f (x) = \log_{7} (x - x^{10})$
41017	Find the Domain	f(x) = square root of 8-x	$f (x) = \sqrt{8 - x}$
41018	Find the Standard Form of the Parabola	x^2-6x-3y-15=0	$x^{2} - 6 x - 3 y - 15 = 0$
41019	Solve Using a Matrix by Row Operations	2x+3y-6z=1-4x-6y+12z=-2x+2y+5z=10	$2 x + 3 y - 6 z = 1 - 4 x - 6 y + 12 z = - 2 x + 2 y + 5 z = 10$
41020	Find the Roots/Zeros Using the Rational Roots Test	x^3-17x-4=0	$x^{3} - 17 x - 4 = 0$
41021	Find the Determinant	[[1/6,1/8],[-6/5,10/7]]	$[\begin{array}{c} \frac{1}{6} & \frac{1}{8} \\ - \frac{6}{5} & \frac{10}{7} \end{array}]$
41022	Find the Eccentricity	((x-4)^2)/25-((y+2)^2)/9=1	$\frac{{(x - 4)}^{2}}{25} - \frac{{(y + 2)}^{2}}{9} = 1$
41023	Find the Eccentricity	(x^2)/25+(y^2)/36=1	$\frac{x^{2}}{25} + \frac{y^{2}}{36} = 1$
41024	Find the Inverse	y=cos(2x)	$y = \cos (2 x)$
41025	Multiply the Matrices	[[-1,2,4]]*[[3,6,1],[2,4,0],[0,6,2]]	$[\begin{array}{c} - 1 & 2 & 4 \end{array}] \cdot [\begin{array}{c} 3 & 6 & 1 \\ 2 & 4 & 0 \\ 0 & 6 & 2 \end{array}]$
41026	Find the Inverse	[[2,x],[x,x^2]]	$[\begin{array}{c} 2 & x \\ x & x^{2} \end{array}]$
41027	Find the Maximum/Minimum Value	x=2y^2+32y+126	$x = 2 y^{2} + 32 y + 126$
41028	Find the Standard Form of the Parabola	x^2+10x-2y+27=0	$x^{2} + 10 x - 2 y + 27 = 0$
41029	Identify the Zeros and Their Multiplicities	f(x)=2(x-2)(x-1)^4	$f (x) = 2 (x - 2) {(x - 1)}^{4}$
41030	Expand Using De Moivre's Theorem	(1-i)^12	${(1 - i)}^{12}$
41031	Find the Axis of Symmetry	y^2=-8x	$y^{2} = - 8 x$
41032	Find the Maximum/Minimum Value	h(t)=36t-6t^2	$h (t) = 36 t - 6 t^{2}$
41033	Find the Eccentricity	9x^2+16y^2-72x+64y-368=0	$9 x^{2} + 16 y^{2} - 72 x + 64 y - 368 = 0$
41034	Find the Domain	y = square root of 3x+3	$y = \sqrt{3 x + 3}$
41035	Identify the Conic	x^2-3y^2-8x+12y+16=0	$x^{2} - 3 y^{2} - 8 x + 12 y + 16 = 0$
41036	Find the Behavior (Leading Coefficient Test)	f(x)=-x^3+1	$f (x) = - x^{3} + 1$
41037	Find the Inverse	[[4,11],[2,6]]	$[\begin{array}{c} 4 & 11 \\ 2 & 6 \end{array}]$
41038	Find the Domain	f(x) = square root of x-4	$f (x) = \sqrt{x - 4}$
41039	Find the Standard Form of the Parabola	x^2+12x+2y+28=0	$x^{2} + 12 x + 2 y + 28 = 0$
41040	Find the Domain	f(x) = square root of (x-4)/x	$f (x) = \sqrt{\frac{x - 4}{x}}$
41041	Find the Domain	f(x) = log base 2 of 7x-6	$f (x) = \log_{2} (7 x - 6)$
41042	Find the Constant of Variation	y=16x	$y = 16 x$
41043	Convert to Radical Form	(mn)^(1/6)	${(m n)}^{\frac{1}{6}}$
41044	Identify the Conic	5x^2+xy+2y^2-5x+8y+9=0	$5 x^{2} + x y + 2 y^{2} - 5 x + 8 y + 9 = 0$
41045	Find the Maximum/Minimum Value	x=-3y^2-6y+4	$x = - 3 y^{2} - 6 y + 4$
41046	Find the Standard Form of the Parabola	y^2-2x-14y+39=0	$y^{2} - 2 x - 14 y + 39 = 0$
41047	Find the Standard Form of the Parabola	y^2-2x+14y+37=0	$y^{2} - 2 x + 14 y + 37 = 0$
41048	Find the Standard Form of the Parabola	x^2-4x+2y+12=0	$x^{2} - 4 x + 2 y + 12 = 0$
41049	Find the Standard Form of the Parabola	x^2-6x+3y-3=0	$x^{2} - 6 x + 3 y - 3 = 0$
41050	Find the Standard Form of the Parabola	-x^2+10x+y-21=0	$- x^{2} + 10 x + y - 21 = 0$
41051	Write as a Single Logarithm	( log base a of x- log base a of y)+6 log base a of z	$(\log_{a} (x) - \log_{a} (y)) + 6 \log_{a} (z)$
41052	Apply the Quadratic Formula	x^2-40x+310	$x^{2} - 40 x + 310$
41053	Find the Roots/Zeros Using the Rational Roots Test	x^3-15x-4=0	$x^{3} - 15 x - 4 = 0$
41054	Find Trig Functions Using Identities	cos(2theta)	$\cos (2 θ)$
41055	Find the Inverse	y=1/2x+3	$y = \frac{1}{2} x + 3$
41056	Use the Rational Roots Test to Find All Possible Roots	x^3-2x^2-9x+18	$x^{3} - 2 x^{2} - 9 x + 18$
41057	Find the Length	2i+2j	$2 i + 2 j$
41058	Solve Using a Matrix by Elimination	5x-3y+3z=58 , 5x-4y-5z=-26 , x-y+3z=34	$5 x - 3 y + 3 z = 58$ , $5 x - 4 y - 5 z = - 26$ , $x - y + 3 z = 34$
41059	Find the Standard Form of the Parabola	y^2+4x+14y+69=0	$y^{2} + 4 x + 14 y + 69 = 0$
41060	Find the Standard Form of the Parabola	y^2-4x+12y+40=0	$y^{2} - 4 x + 12 y + 40 = 0$
41061	Write as a Single Logarithm	1/5 natural log of x+2/5 natural log of z-2 natural log of y	$\frac{1}{5} \ln (x) + \frac{2}{5} \ln (z) - 2 \ln (y)$
41062	Write as a Single Logarithm	log base 4 of x^2-9-5 log base 4 of x+3	$\log_{4} (x^{2} - 9) - 5 \log_{4} (x + 3)$
41063	Find the Slope of a Parallel Line	y=7x-3	$y = 7 x - 3$
41064	Evaluate Using the Given Value	f(12)=50e^((0.08)(12))	$f (12) = 50 e^{(0.08) (12)}$
41065	Find the Roots/Zeros Using the Rational Roots Test	2x^3-3x^2-4x+6=0	$2 x^{3} - 3 x^{2} - 4 x + 6 = 0$
41066	Find the Eccentricity	(x^2)/7+(y^2)/25=1	$\frac{x^{2}}{7} + \frac{y^{2}}{25} = 1$
41067	Find the Eccentricity	((x+5)^2)/25-((y-5)^2)/9=1	$\frac{{(x + 5)}^{2}}{25} - \frac{{(y - 5)}^{2}}{9} = 1$
41068	Find Amplitude, Period, and Phase Shift	p(t)=115+25sin(160pit)	$p (t) = 115 + 25 \sin (160 π t)$
41069	Find Amplitude, Period, and Phase Shift	f(x)=-1/3cos(pi/2-3x)	$f (x) = \frac{- 1}{3} \cos (\frac{π}{2} - 3 x)$
41070	Find the Inverse	y=-x^2-10x-18	$y = - x^{2} - 10 x - 18$
41071	Find the Center	4x^2+25y^2=100	$4 x^{2} + 25 y^{2} = 100$
41072	Identify the Conic	16x^2-9y^2+64x+18y-89=0	$16 x^{2} - 9 y^{2} + 64 x + 18 y - 89 = 0$
41073	Identify the Conic	2x^2+4y^2-3x-6y+2=0	$2 x^{2} + 4 y^{2} - 3 x - 6 y + 2 = 0$
41074	Find the Degree, Leading Term, and Leading Coefficient	zx+5x^2z-z^5	$z x + 5 x^{2} z - z^{5}$
41075	Convert Degrees, Minutes, Seconds to Decimal Degrees	42 degrees 25'40''	$42 ° 25' 40''$
41076	Find the Inverse	[[5,8],[7,11]]	$[\begin{array}{c} 5 & 8 \\ 7 & 11 \end{array}]$
41077	Calculate the Square Root	square root of 100000	$\sqrt{100000}$
41078	Solve by Addition/Elimination	5x+3y=63x-y=5	$5 x + 3 y = 63 x - y = 5$
41079	Plot	r=2cos(theta)	$r = 2 \cos (θ)$
41080	Find Where Increasing/Decreasing	g(x)=2-(x-7)^2	$g (x) = 2 - {(x - 7)}^{2}$
41081	Find the Slope of a Parallel Line	y=x-2	$y = x - 2$
41082	Find the Determinant	[[9,-4,1],[0,4,4],[0,0,-1]]	$[\begin{array}{c} 9 & - 4 & 1 \\ 0 & 4 & 4 \\ 0 & 0 & - 1 \end{array}]$
41083	Determine if Odd, Even, or Neither	f(x)=3x^2	$f (x) = 3 x^{2}$
41084	Find the Eccentricity	9x^2+25y^2=225	$9 x^{2} + 25 y^{2} = 225$
41085	Determine if Odd, Even, or Neither	f(x)=1/x	$f (x) = \frac{1}{x}$
41086	Find the Range	y=-3sin(x)-4	$y = - 3 \sin (x) - 4$
41087	Find Amplitude, Period, and Phase Shift	f(x)=-1/3sin(pi-(2x)/5)	$f (x) = \frac{- 1}{3} \sin (π - \frac{2 x}{5})$
41088	Determine if Prime	x^2-20x+100	$x^{2} - 20 x + 100$
41089	Find the Inverse	x^3y=-6	$x^{3} y = - 6$
41090	Determine if Odd, Even, or Neither	y=sin(x)	$y = \sin (x)$
41091	Determine the Possible Number of Real Roots	5x^3+x^2-7x+28=0	$5 x^{3} + x^{2} - 7 x + 28 = 0$
41092	Write in y=mx+b Form	theta=(5pi)/3	$θ = \frac{5 π}{3}$
41093	Solve the Matrix Equation	X+[[-12,15],[15,6]]=[[2,8],[1,3]]	$X + [\begin{array}{c} - 12 & 15 \\ 15 & 6 \end{array}] = [\begin{array}{c} 2 & 8 \\ 1 & 3 \end{array}]$
41094	Find the Center	((x-7)^2)/4+((y+3)^2)/16=1	$\frac{{(x - 7)}^{2}}{4} + \frac{{(y + 3)}^{2}}{16} = 1$
41095	Find the Center	(x^2)/64+(y^2)/36=1	$\frac{x^{2}}{64} + \frac{y^{2}}{36} = 1$
41096	Find the Length	17i-8j	$17 i - 8 j$
41097	Identify the Conic	(x^2)/4+(y^2)/9=1	$\frac{x^{2}}{4} + \frac{y^{2}}{9} = 1$
41098	Solve by Graphing	x^3-4x+4=0	$x^{3} - 4 x + 4 = 0$
41099	Identify the Conic	x^2+y^2=30	$x^{2} + y^{2} = 30$
41100	Evaluate the Function	f(x)=3x-2	$f (x) = 3 x - 2$