Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
40901	Divide	15/9	$\frac{15}{9}$
40902	Divide	180/30	$\frac{180}{30}$
40903	Divide	(2pi)/((3pi)/4)	$\frac{2 π}{\frac{3 π}{4}}$
40904	Divide	160/2	$\frac{160}{2}$
40905	Divide	(1/2)÷(-( square root of 3)/2)	$\frac{1}{2} \div (- \frac{\sqrt{3}}{2})$
40906	Divide	180/9	$\frac{180}{9}$
40907	Find dy/dx	y=sin(2x)^2+1/2cos(4x)	$y = \sin^{2} (2 x) + \frac{1}{2} \cos (4 x)$
40908	Find the Value Using the Unit Circle	cos(-270 degrees )	$\cos (- 270 °)$
40909	Find the x and y Intercepts	f(x)=(18x^2)/(x^4+81)	$f (x) = \frac{18 x^{2}}{x^{4} + 81}$
40910	Find dx/dy	y=sin(2x)^2+1/2cos(4x)	$y = \sin^{2} (2 x) + \frac{1}{2} \cos (4 x)$
40911	Find All Complex Solutions	cos(theta)^2-sin(theta)^2=-sin(theta)+1	$\cos^{2} (θ) - \sin^{2} (θ) = - \sin (θ) + 1$
40912	Find All Complex Solutions	tan(theta)=1	$\tan (θ) = 1$
40913	Find All Complex Solutions	sin(2theta)=1/2	$\sin (2 θ) = \frac{1}{2}$
40914	Find All Complex Solutions	sin(2theta)=-1/2	$\sin (2 θ) = - \frac{1}{2}$
40915	Find the Sum of the Infinite Geometric Series	2 , 1 , 1/2 , 1/4	$2$ , $1$ , $\frac{1}{2}$ , $\frac{1}{4}$
40916	Find the Upper and Lower Bounds	f(x)=x^2-3	$f (x) = x^{2} - 3$
40917	Find the Upper and Lower Bounds	f(x)=x^2-9	$f (x) = x^{2} - 9$
40918	Find the Equation that Relates x and y	x=9 , y=4	$x = 9$ , $y = 4$
40919	Find the Equation that Relates x and y	x=2 , y=3	$x = 2$ , $y = 3$
40920	Convert to Rectangular	theta=(3pi)/4	$θ = \frac{3 π}{4}$
40921	Write in Standard Form	-4x^2+9y^2+32x+36y-64=0	$- 4 x^{2} + 9 y^{2} + 32 x + 36 y - 64 = 0$
40922	Find the Asymptotes	(x^2)/16-(y^2)/9=1	$\frac{x^{2}}{16} - \frac{y^{2}}{9} = 1$
40923	Find the Asymptotes	(x^2)/4-(y^2)/9=1	$\frac{x^{2}}{4} - \frac{y^{2}}{9} = 1$
40924	Divide	5/4	$\frac{5}{4}$
40925	Convert to Rectangular	theta=(5pi)/4	$θ = \frac{5 π}{4}$
40926	Divide	11/2	$\frac{11}{2}$
40927	Solve by Substitution	-7x+2y^2=-10-5x-2y=-22	$- 7 x + 2 y^{2} = - 10 - 5 x - 2 y = - 22$
40928	Convert to Rectangular	theta=(7pi)/6	$θ = \frac{7 π}{6}$
40929	Find the Vertex	x^2=8y	$x^{2} = 8 y$
40930	Find the Asymptotes	(x^2)/9-(y^2)/25=1	$\frac{x^{2}}{9} - \frac{y^{2}}{25} = 1$
40931	Solve by Substitution	2x+3y=2x-4y=-21	$2 x + 3 y = 2 x - 4 y = - 21$
40932	Find the Asymptotes	(x^2)/36-(y^2)/25=1	$\frac{x^{2}}{36} - \frac{y^{2}}{25} = 1$
40933	Find the Domain	C(t)=t/(3t^2+1)	$C (t) = \frac{t}{3 t^{2} + 1}$
40934	Convert to a Decimal	square root of 10	$\sqrt{10}$
40935	Write as a Single Logarithm	1/2 log base 4 of x^2+1-4 log base 4 of 1/2-1/2( log base 4 of x-4- log base 4 of x)	$\frac{1}{2} \log_{4} (x^{2} + 1) - 4 \log_{4} (\frac{1}{2}) - \frac{1}{2} (\log_{4} (x - 4) - \log_{4} (x))$
40936	Convert to Radians per Second	75rev/min	$75 r p m$
40937	Convert to a Decimal	square root of 8	$\sqrt{8}$
40938	Convert to a Decimal	square root of 20	$\sqrt{20}$
40939	Find the Next Term	3 , 9 , 15 , 21	$3$ , $9$ , $15$ , $21$
40940	Convert to Interval Notation	x-1>5	$x - 1 > 5$
40941	Find the Roots (Zeros)	2x^3-3x^2-4x+6=0	$2 x^{3} - 3 x^{2} - 4 x + 6 = 0$
40942	Convert to Radians per Second	12rev/min	$12 r p m$
40943	Convert to Radians per Second	59rev/min	$59 r p m$
40944	Find the Next Term	70 , 65 , 60 , 55	$70$ , $65$ , $60$ , $55$
40945	Find the Asymptotes	(x^2)/25-(y^2)/4=1	$\frac{x^{2}}{25} - \frac{y^{2}}{4} = 1$
40946	Find the Asymptotes	(x^2)/25-(y^2)/16=1	$\frac{x^{2}}{25} - \frac{y^{2}}{16} = 1$
40947	Write in Standard Form	x^2+y^2+8x+4y+11=0	$x^{2} + y^{2} + 8 x + 4 y + 11 = 0$
40948	Split Using Partial Fraction Decomposition	(x^2)/(x^2+10x+25)	$\frac{x^{2}}{x^{2} + 10 x + 25}$
40949	Find the Domain	f(x) = square root of 6-x	$f (x) = \sqrt{6 - x}$
40950	Write in Standard Form	7e^((5pi)/6i)	$7 e^{\frac{5 π}{6} i}$
40951	Find the Center	16y^2-x^2-16=0	$16 y^{2} - x^{2} - 16 = 0$
40952	Solve the Triangle	tri{20}{}{30}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 20 \\ c = & 30 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
40953	Find the Asymptotes	f(x)=(x^2-4)/(x-2)	$f (x) = \frac{x^{2} - 4}{x - 2}$
40954	Find the Center	9x^2-y^2-36x-6y+18=0	$9 x^{2} - y^{2} - 36 x - 6 y + 18 = 0$
40955	Write in Standard Form	9x^2+4y^2=36	$9 x^{2} + 4 y^{2} = 36$
40956	Find the Slope	theta=pi/3	$θ = \frac{π}{3}$
40957	Find the Vertex	y^2=-8x	$y^{2} = - 8 x$
40958	Find the x and y Intercepts	p(x)=5.152x^3-143x^2+1102x-1673	$p (x) = 5.152 x^{3} - 143 x^{2} + 1102 x - 1673$
40959	Split Using Partial Fraction Decomposition	(5x-4)/(x^2-x-2)	$\frac{5 x - 4}{x^{2} - x - 2}$
40960	Find the Vertex	y^2=4x	$y^{2} = 4 x$
40961	Find the Domain	f(x) = square root of x-5	$f (x) = \sqrt{x - 5}$
40962	Find the Asymptotes	f(x)=(x-6)/(x^2-36)	$f (x) = \frac{x - 6}{x^{2} - 36}$
40963	Write in Standard Form	36x^2+16y^2-216x-32y=236	$36 x^{2} + 16 y^{2} - 216 x - 32 y = 236$
40964	Find the Vertex	y^2=8x	$y^{2} = 8 x$
40965	Find the Vertex	y^2=-16x	$y^{2} = - 16 x$
40966	Write in Standard Form	9x^2-y^2-36x-6y+18=0	$9 x^{2} - y^{2} - 36 x - 6 y + 18 = 0$
40967	Convert to Interval Notation	x+6>5	$x + 6 > 5$
40968	Find the Center	4x^2-25y^2-8x-100y-196=0	$4 x^{2} - 25 y^{2} - 8 x - 100 y - 196 = 0$
40969	Write in Standard Form	4x^2+25y^2-32x-100y+64=0	$4 x^{2} + 25 y^{2} - 32 x - 100 y + 64 = 0$
40970	Find the Vertex	h(x)=x^2+7x+6	$h (x) = x^{2} + 7 x + 6$
40971	Expand Using De Moivre's Theorem	(cos(pi/4)+isin(pi/4))^3	${(\cos (\frac{π}{4}) + i \sin (\frac{π}{4}))}^{3}$
40972	Expand Using De Moivre's Theorem	(1+i)^7	${(1 + i)}^{7}$
40973	Find the Circle Using the Diameter End Points	(-1,-1) , (1,2)	$(- 1, - 1)$ , $(1, 2)$
40974	Write in Standard Form	x^2+4y^2+6x-8y+9=0	$x^{2} + 4 y^{2} + 6 x - 8 y + 9 = 0$
40975	Identify the Conic	x^2+y^2+6x-4y-12=0	$x^{2} + y^{2} + 6 x - 4 y - 12 = 0$
40976	Find the Eccentricity	8x^2+6y^2-32x+24y+8=0	$8 x^{2} + 6 y^{2} - 32 x + 24 y + 8 = 0$
40977	Write the Absolute Value as Piecewise	\|4x-3\|	$\| 4 x - 3 \|$
40978	Write in Standard Form	4x^2+9y^2=36	$4 x^{2} + 9 y^{2} = 36$
40979	Write in Standard Form	16x^2+9y^2+64x-36y-44=0	$16 x^{2} + 9 y^{2} + 64 x - 36 y - 44 = 0$
40980	Write in Standard Form	y=4x-6	$y = 4 x - 6$
40981	Determine if Odd, Even, or Neither	g(x)=x^2-3x	$g (x) = x^{2} - 3 x$
40982	Expand Using De Moivre's Theorem	(- square root of 3-i)^6	${(- \sqrt{3} - i)}^{6}$
40983	Identify the Conic	5x^2+5y^2=0	$5 x^{2} + 5 y^{2} = 0$
40984	Write in Standard Form	9x^2+4y^2-144x+24y+576=0	$9 x^{2} + 4 y^{2} - 144 x + 24 y + 576 = 0$
40985	Write in Standard Form	9x^2-25y^2+108x+300y-801=0	$9 x^{2} - 25 y^{2} + 108 x + 300 y - 801 = 0$
40986	Write in Standard Form	9y^2-x^2+2x+54y+62=0	$9 y^{2} - x^{2} + 2 x + 54 y + 62 = 0$
40987	Solve by Addition/Elimination	5x+5y+z=-62x-5y-z=-12x+y+3z=9	$5 x + 5 y + z = - 62 x - 5 y - z = - 12 x + y + 3 z = 9$
40988	Find the Inverse	[[9,17],[3,6]]	$[\begin{array}{c} 9 & 17 \\ 3 & 6 \end{array}]$
40989	Find the Standard Form of the Parabola	y^2-4y-2x-4=0	$y^{2} - 4 y - 2 x - 4 = 0$
40990	Identify the Conic	4x^2-y^2+24x+4y+28=0	$4 x^{2} - y^{2} + 24 x + 4 y + 28 = 0$
40991	Find the Vertex	f(x)=x^2-6x	$f (x) = x^{2} - 6 x$
40992	Find the Maximum/Minimum Value	h(t)=18t-3t^2	$h (t) = 18 t - 3 t^{2}$
40993	Write in Standard Form	9x^2+4y^2-90x-24y+225=0	$9 x^{2} + 4 y^{2} - 90 x - 24 y + 225 = 0$
40994	Write in Standard Form	16x^2-4y^2+256x+32y+896=0	$16 x^{2} - 4 y^{2} + 256 x + 32 y + 896 = 0$
40995	Write in Standard Form	y^2-4y-2x-4=0	$y^{2} - 4 y - 2 x - 4 = 0$
40996	Write in Standard Form	x^2+8x=-4y-8	$x^{2} + 8 x = - 4 y - 8$
40997	Solve the Function Operation	f(x)=3x , g(x)=6x-6 , gof	$f (x) = 3 x$ , $g (x) = 6 x - 6$ , gof
40998	Find the Axis of Symmetry	x^2=12y	$x^{2} = 12 y$
40999	Find the Vertex	f(x)=x^2-8x+15	$f (x) = x^{2} - 8 x + 15$
41000	Find the Standard Form of the Parabola	y^2-4x-10y+17=0	$y^{2} - 4 x - 10 y + 17 = 0$