Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
41901	Convert to Interval Notation	\|2x+1\|+1<=4	$\| 2 x + 1 \| + 1 \leq 4$
41902	Convert to Interval Notation	x^3+3x^2-9x<=27	$x^{3} + 3 x^{2} - 9 x \leq 27$
41903	Convert to Interval Notation	x^2-6x>=-8	$x^{2} - 6 x \geq - 8$
41904	Convert to Interval Notation	x^3>x^2	$x^{3} > x^{2}$
41905	Convert to Interval Notation	x^3+x^2-50x+48>=0	$x^{3} + x^{2} - 50 x + 48 \geq 0$
41906	Convert to Interval Notation	x^3-2x^2-80x>0	$x^{3} - 2 x^{2} - 80 x > 0$
41907	Solve the System of @WORD	x^2-x-6<0	$x^{2} - x - 6 < 0$
41908	Find the Asymptotes	f(x)=(5/2)^x	$f (x) = {(\frac{5}{2})}^{x}$
41909	Find the Asymptotes	f(x)=((3x+4)(7x-1))/(x^2-36)	$f (x) = \frac{(3 x + 4) (7 x - 1)}{x^{2} - 36}$
41910	Find the Asymptotes	f(x)=((x-4)(x+9))/(x^2-1)	$f (x) = \frac{(x - 4) (x + 9)}{x^{2} - 1}$
41911	Find the Asymptotes	f(x)=(x^2+x-2)/(x^2-3x-4)	$f (x) = \frac{x^{2} + x - 2}{x^{2} - 3 x - 4}$
41912	Find the Asymptotes	f(x)=(x^3)/(x^4-1)	$f (x) = \frac{x^{3}}{x^{4} - 1}$
41913	Find the Asymptotes	f(x) = log base 1/3 of x	$f (x) = \log_{\frac{1}{3}} (x)$
41914	Find the Asymptotes	h(x)=e^(-x)	$h (x) = e^{- x}$
41915	Solve for a	square root of 99-7a=a-3	$\sqrt{99 - 7 a} = a - 3$
41916	Solve for a	4a(5)=6^2	$4 a (5) = 6^{2}$
41917	Solve for n	n^3-2n^2-n+2=0	$n^{3} - 2 n^{2} - n + 2 = 0$
41918	Solve for p	6^(2p)*6^(2p-3)=36	$6^{2 p} \cdot 6^{2 p - 3} = 36$
41919	Solve for r	r^(2/3)=9	$r^{\frac{2}{3}} = 9$
41920	Solve for k	2=e^(10k)	$2 = e^{10 k}$
41921	Solve for b	3^(-b)=3^(-3b)	$3^{- b} = 3^{- 3 b}$
41922	Solve for b	3pi=(2pi)/b	$3 π = \frac{2 π}{b}$
41923	Solve for b	\|(x-3)^2-4\|=b	$\| {(x - 3)}^{2} - 4 \| = b$
41924	Solve for t	h(t)=18t-3t^2	$h (t) = 18 t - 3 t^{2}$
41925	Solve for v	v=9i+12j	$v = 9 i + 12 j$
41926	Solve for v	v=12i-5j	$v = 12 i - 5 j$
41927	Solve for v	square root of 2v-1=v-2	$\sqrt{2 v - 1} = v - 2$
41928	Solve for z	z=9-3 square root of 3i	$z = 9 - 3 \sqrt{3 i}$
41929	Find the Standard Form of the Parabola	y^2+5x-14y+29=0	$y^{2} + 5 x - 14 y + 29 = 0$
41930	Find the Standard Form of the Parabola	y^2+4x-16y+48=0	$y^{2} + 4 x - 16 y + 48 = 0$
41931	Find the Standard Form of the Parabola	x^2-6x-4y+25=0	$x^{2} - 6 x - 4 y + 25 = 0$
41932	Find the Standard Form of the Parabola	x^2-8x+5y+31=0	$x^{2} - 8 x + 5 y + 31 = 0$
41933	Find the Domain	f(x) = square root of 1-7x	$f (x) = \sqrt{1 - 7 x}$
41934	Find the Domain	f(x)=(x-4)/(x^2-16)	$f (x) = \frac{x - 4}{x^{2} - 16}$
41935	Find the Domain	f(x) = natural log of x-5	$f (x) = \ln (x - 5)$
41936	Expand the Trigonometric Expression	cos(4a)	$\cos (4 a)$
41937	Find the Roots (Zeros)	(x+5)^2-12.25	${(x + 5)}^{2} - 12.25$
41938	Find the Roots (Zeros)	3x^4-19x^3-27x^2+359x-116	$3 x^{4} - 19 x^{3} - 27 x^{2} + 359 x - 116$
41939	Find the Roots (Zeros)	x^2e^x-4e^x	$x^{2} e^{x} - 4 e^{x}$
41940	Find the Roots (Zeros)	x^2e^x-81e^x	$x^{2} e^{x} - 81 e^{x}$
41941	Find the Degree	-2f^2g^3h^5	$- 2 f^{2} g^{3} h^{5}$
41942	Find the x and y Intercepts	2x^3+12x^2+16x	$2 x^{3} + 12 x^{2} + 16 x$
41943	Find the Axis of Symmetry	x^2=-4y	$x^{2} = - 4 y$
41944	Simplify/Condense	-2 log base b of x-6 log base b of y+1/7 log base b of z	$- 2 \log_{b} (x) - 6 \log_{b} (y) + \frac{1}{7} \log_{b} (z)$
41945	Simplify/Condense	2( log base 5 of x+2 log base 5 of y-3 log base 5 of z)	$2 (\log_{5} (x) + 2 \log_{5} (y) - 3 \log_{5} (z))$
41946	Simplify/Condense	3 log of x- log of w	$3 \log (x) - \log (w)$
41947	Find the Inverse	y=sec(x)	$y = \sec (x)$
41948	Find the Inverse	y=2^x-3	$y = 2^{x} - 3$
41949	Find the Inverse	y=3-4x	$y = 3 - 4 x$
41950	Simplify/Condense	(sin(theta)-csc(theta))/(cos(theta))	$\frac{\sin (θ) - \csc (θ)}{\cos (θ)}$
41951	Find the Center and Radius	(x-2)^2+(y-4)^2=36	${(x - 2)}^{2} + {(y - 4)}^{2} = 36$
41952	Find the Center and Radius	(x+3)^2+(y-5)^2=16	${(x + 3)}^{2} + {(y - 5)}^{2} = 16$
41953	Find the Center and Radius	(x-2)^2+(y+7)^2=16	${(x - 2)}^{2} + {(y + 7)}^{2} = 16$
41954	Find the Center and Radius	x^2+y^2-4x+6y-36=0	$x^{2} + y^{2} - 4 x + 6 y - 36 = 0$
41955	Find the Center and Radius	x^2+y^2-12x+4y-9=0	$x^{2} + y^{2} - 12 x + 4 y - 9 = 0$
41956	Simplify/Condense	1/5 natural log of x+2/5 natural log of z-2 natural log of y	$\frac{1}{5} \ln (x) + \frac{2}{5} \ln (z) - 2 \ln (y)$
41957	Find the Center and Radius	x^2+81=9(y^2+2x)	$x^{2} + 81 = 9 (y^{2} + 2 x)$
41958	Find the Center and Radius	x^2+y^2+8x-2y+15=0	$x^{2} + y^{2} + 8 x - 2 y + 15 = 0$
41959	Find the Center and Radius	x^2+y^2+6x-8y=0	$x^{2} + y^{2} + 6 x - 8 y = 0$
41960	Find the Center and Radius	x^2+y^2+6x-2y+10=36	$x^{2} + y^{2} + 6 x - 2 y + 10 = 36$
41961	Find the Center and Radius	4x^2+4y^2+40x+80y=0	$4 x^{2} + 4 y^{2} + 40 x + 80 y = 0$
41962	Find the Center and Radius	3x^2+3y^2=12	$3 x^{2} + 3 y^{2} = 12$
41963	Find the Center and Radius	10x^2+10y^2+160x-120y=0	$10 x^{2} + 10 y^{2} + 160 x - 120 y = 0$
41964	Find the Center and Radius	10x^2+10y^2+240x-180y=0	$10 x^{2} + 10 y^{2} + 240 x - 180 y = 0$
41965	Find the Center and Radius	16x^2+16y^2-160x+320y=0	$16 x^{2} + 16 y^{2} - 160 x + 320 y = 0$
41966	Find the Center and Radius	4x^2+4y^2-24x+16y-48=0	$4 x^{2} + 4 y^{2} - 24 x + 16 y - 48 = 0$
41967	Find the Center and Radius	5x^2+5y^2+120x-90y=0	$5 x^{2} + 5 y^{2} + 120 x - 90 y = 0$
41968	Find the Center and Radius	x^2+(y+7)^2=11	$x^{2} + {(y + 7)}^{2} = 11$
41969	Find the Roots (Zeros)	x^3+3x-1=0	$x^{3} + 3 x - 1 = 0$
41970	Find the Roots (Zeros)	x^3-x^2-2=0	$x^{3} - x^{2} - 2 = 0$
41971	Split Using Partial Fraction Decomposition	(x-4)/(x^2(x-1))	$\frac{x - 4}{x^{2} (x - 1)}$
41972	Solve by Substitution	1/2x+1/3y=16 1/6x+1/4y=9	$\frac{1}{2} x + \frac{1}{3} y = 16 \frac{1}{6} x + \frac{1}{4} y = 9$
41973	Split Using Partial Fraction Decomposition	x/((x+2)(x+4))	$\frac{x}{(x + 2) (x + 4)}$
41974	Split Using Partial Fraction Decomposition	x/((x+4)(x-2))	$\frac{x}{(x + 4) (x - 2)}$
41975	Split Using Partial Fraction Decomposition	(7x+6)/((x+6)(6x-1))	$\frac{7 x + 6}{(x + 6) (6 x - 1)}$
41976	Solve by Substitution	xy=202x-y=-6	$x y = 202 x - y = - 6$
41977	Split Using Partial Fraction Decomposition	(48-8x)/(x^3-8x^2+16x)	$\frac{48 - 8 x}{x^{3} - 8 x^{2} + 16 x}$
41978	Split Using Partial Fraction Decomposition	(5x+69)/((x-3)^2(x+4))	$\frac{5 x + 69}{{(x - 3)}^{2} (x + 4)}$
41979	Split Using Partial Fraction Decomposition	(2x-5)/(x^2-5x-6)	$\frac{2 x - 5}{x^{2} - 5 x - 6}$
41980	Split Using Partial Fraction Decomposition	2/(x^2-2x)	$\frac{2}{x^{2} - 2 x}$
41981	Find the Other Trig Values in Quadrant III	sec(theta)=-17/8	$\sec (θ) = - \frac{17}{8}$
41982	Graph	f(x)=2cot(4x)	$f (x) = 2 \cot (4 x)$
41983	Find Where Increasing/Decreasing	f(x)=x^2+2x-15	$f (x) = x^{2} + 2 x - 15$
41984	Find the Value Using the Unit Circle	-pi/2	$- \frac{π}{2}$
41985	Find the Value Using the Unit Circle	cos(75 degrees )	$\cos (75 °)$
41986	Find the x and y Intercepts	f(x)=(x^2-9x+18)/(x+3)	$f (x) = \frac{x^{2} - 9 x + 18}{x + 3}$
41987	Find the x and y Intercepts	f(x)=3^x+2	$f (x) = 3^{x} + 2$
41988	Find the Vertex	f(x)=x^2-x-2	$f (x) = x^{2} - x - 2$
41989	Convert to Interval Notation	x^2(x+4)(x-2)>0	$x^{2} (x + 4) (x - 2) > 0$
41990	Convert to Interval Notation	x^3+11x^2>0	$x^{3} + 11 x^{2} > 0$
41991	Convert to Interval Notation	\|2x+1\|+1<=8	$\| 2 x + 1 \| + 1 \leq 8$
41992	Convert to Interval Notation	(x^2-4)/(x^2-5x+6)<0	$\frac{x^{2} - 4}{x^{2} - 5 x + 6} < 0$
41993	Convert to Interval Notation	x/(x^2-16)>0	$\frac{x}{x^{2} - 16} > 0$
41994	Convert to Interval Notation	(x^2+1)(x+5)(x-3)<=0	$(x^{2} + 1) (x + 5) (x - 3) \leq 0$
41995	Convert to Interval Notation	(x+4)(x+9)(5-x)>=0	$(x + 4) (x + 9) (5 - x) \geq 0$
41996	Convert to Interval Notation	(x+6)(x^2+16)(1-x)<=0	$(x + 6) (x^{2} + 16) (1 - x) \leq 0$
41997	Factor over the Complex Numbers	5i	$5 i$
41998	Find the Inverse	[[3,6],[8,16]]	$[\begin{array}{c} 3 & 6 \\ 8 & 16 \end{array}]$
41999	Find the Vertex	4y^2+4y-16x=0	$4 y^{2} + 4 y - 16 x = 0$
42000	Find the Vertex	5y^2=16x	$5 y^{2} = 16 x$