Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
41301	Find the Asymptotes	(6x^2-7x+9)/(2x^2+3x)	$\frac{6 x^{2} - 7 x + 9}{2 x^{2} + 3 x}$
41302	Find the Vertex	x^2+4x-2y-6=0	$x^{2} + 4 x - 2 y - 6 = 0$
41303	Find the Vertex	x^2-16x+2y+68=0	$x^{2} - 16 x + 2 y + 68 = 0$
41304	Find the Asymptotes	f(x)=(5x^2-7x-3)/(4x+1)	$f (x) = \frac{5 x^{2} - 7 x - 3}{4 x + 1}$
41305	Find the Asymptotes	f(x) = log of x	$f (x) = \log (x)$
41306	Solve for t	5=7cos(pi/3t)	$5 = 7 \cos (\frac{p i}{3} t)$
41307	Solve for z	z^2=-81i	$z^{2} = - 81 i$
41308	Write in Standard Form	4y^2-8y-2x^2+8x-20=0	$4 y^{2} - 8 y - 2 x^{2} + 8 x - 20 = 0$
41309	Write in Standard Form	9x^2-y^2-72x+8y+119=0	$9 x^{2} - y^{2} - 72 x + 8 y + 119 = 0$
41310	Write in Standard Form	9x^2+4y^2-90x+40y+289=0	$9 x^{2} + 4 y^{2} - 90 x + 40 y + 289 = 0$
41311	Write in Standard Form	x^2+y^2-10x-6y+18=0	$x^{2} + y^{2} - 10 x - 6 y + 18 = 0$
41312	Write in Standard Form	x^2+y^2-6y-8=0	$x^{2} + y^{2} - 6 y - 8 = 0$
41313	Write in Standard Form	x^2-9y^2+36y-72=0	$x^{2} - 9 y^{2} + 36 y - 72 = 0$
41314	Find the Center and Radius	8x^2+6y^2-32x+24y+8=0	$8 x^{2} + 6 y^{2} - 32 x + 24 y + 8 = 0$
41315	Find the Domain	natural log of square root of (x+3)/(x-2)	$\ln (\sqrt{\frac{x + 3}{x - 2}})$
41316	Find the Value Using the Unit Circle	-pi/3	$- \frac{π}{3}$
41317	Expand Using the Binomial Theorem	(2x+5y)^5	${(2 x + 5 y)}^{5}$
41318	Expand Using Pascal's Triangle	(2x-3y)^11	${(2 x - 3 y)}^{11}$
41319	Find the Roots (Zeros)	x^4-81	$x^{4} - 81$
41320	Convert from Degrees to Radians	cos(theta)=( square root of 2)/2	$\cos (θ) = \frac{\sqrt{2}}{2}$
41321	Find the Domain and Range	f(x)=3^x+3	$f (x) = 3^{x} + 3$
41322	Write in Standard Form	x^2-4y^2-4x+24y-36=0	$x^{2} - 4 y^{2} - 4 x + 24 y - 36 = 0$
41323	Write in Standard Form	x^2+y^2-2x+4y-11=0	$x^{2} + y^{2} - 2 x + 4 y - 11 = 0$
41324	Write in Standard Form	16x^2+25y^2-32x+50y-359=0	$16 x^{2} + 25 y^{2} - 32 x + 50 y - 359 = 0$
41325	Write in Standard Form	14x^2+10y^2=140	$14 x^{2} + 10 y^{2} = 140$
41326	Write in Standard Form	2x^2+y^2-12x+2y-1=0	$2 x^{2} + y^{2} - 12 x + 2 y - 1 = 0$
41327	Write in Standard Form	25x^2+y^2-100x-2y+76=0	$25 x^{2} + y^{2} - 100 x - 2 y + 76 = 0$
41328	Find the Asymptotes	f(x)=x/(9x^2-5)	$f (x) = \frac{x}{9 x^{2} - 5}$
41329	Find the Asymptotes	f(x)=(10x^2-8x-1)/(5x+1)	$f (x) = \frac{10 x^{2} - 8 x - 1}{5 x + 1}$
41330	Convert to Interval Notation	x^2-2x-3>=0	$x^{2} - 2 x - 3 \geq 0$
41331	Convert to Interval Notation	x^3-3x^2-x>-3	$x^{3} - 3 x^{2} - x > - 3$
41332	Convert to Trigonometric Form	-5-i	$- 5 - i$
41333	Find the Vertex	x=1/4y^2	$x = \frac{1}{4} y^{2}$
41334	Find the Vertex	x^2+4x+3y+7=0	$x^{2} + 4 x + 3 y + 7 = 0$
41335	Find the Roots (Zeros)	y=sin(4x+pi)	$y = \sin (4 x + π)$
41336	Find the Asymptotes	y=3tan(x/2)	$y = 3 \tan (\frac{x}{2})$
41337	Find the Asymptotes	(y^2)/36-(x^2)/49=1	$\frac{y^{2}}{36} - \frac{x^{2}}{49} = 1$
41338	Find the Asymptotes	(y^2)/16-(x^2)/144=1	$\frac{y^{2}}{16} - \frac{x^{2}}{144} = 1$
41339	Solve for m	m^2-7m=0	$m^{2} - 7 m = 0$
41340	Solve for n	-7e^(n-8)=-46	$- 7 e^{n - 8} = - 46$
41341	Solve for b	(2pi)/b=7	$\frac{2 π}{b} = 7$
41342	Identify the Polar Equation	r=-4cos(2theta)	$r = - 4 \cos (2 θ)$
41343	Find the Center and Radius	16x^2+16y^2-96x+192y=0	$16 x^{2} + 16 y^{2} - 96 x + 192 y = 0$
41344	Find the Center and Radius	x^2+y^2+10x-14y+38=0	$x^{2} + y^{2} + 10 x - 14 y + 38 = 0$
41345	Find the Center and Radius	x^2+y^2=44	$x^{2} + y^{2} = 44$
41346	Find the Center and Radius	x^2+y^2-4x-2y-59=0	$x^{2} + y^{2} - 4 x - 2 y - 59 = 0$
41347	Find the Center and Radius	(x-1)^2+(y-3)^2=0	${(x - 1)}^{2} + {(y - 3)}^{2} = 0$
41348	Expand Using the Binomial Theorem	(4x+5)^5	${(4 x + 5)}^{5}$
41349	Determine if A is a Proper Subset of B	A=(1,2,3) , B=(3,4,5)	$A = (1, 2, 3)$ , $B = (3, 4, 5)$
41350	Find the x and y Intercepts	y=x^2-4x	$y = x^{2} - 4 x$
41351	Write in Standard Form	-16x^2+9y^2-160x-36y-508=0	$- 16 x^{2} + 9 y^{2} - 160 x - 36 y - 508 = 0$
41352	Write in Standard Form	9x^2+4y^2-18x+8y-23=0	$9 x^{2} + 4 y^{2} - 18 x + 8 y - 23 = 0$
41353	Write in Standard Form	r=3	$r = 3$
41354	Write in Standard Form	9x^2+16y^2+36x-192y+468=0	$9 x^{2} + 16 y^{2} + 36 x - 192 y + 468 = 0$
41355	Write in Standard Form	9x^2+25y^2-90x+200y+400=0	$9 x^{2} + 25 y^{2} - 90 x + 200 y + 400 = 0$
41356	Write in Standard Form	9x^2+25y^2-54x+50y-119=0	$9 x^{2} + 25 y^{2} - 54 x + 50 y - 119 = 0$
41357	Write in Standard Form	x^2+2y^2+6x-8y-11=0	$x^{2} + 2 y^{2} + 6 x - 8 y - 11 = 0$
41358	Write in Standard Form	x^2+y^2-6y=0	$x^{2} + y^{2} - 6 y = 0$
41359	Write in Standard Form	y^2+6y+8x+25=0	$y^{2} + 6 y + 8 x + 25 = 0$
41360	Identify the Conic	(x^2)/4-(y^2)/9=1	$\frac{x^{2}}{4} - \frac{y^{2}}{9} = 1$
41361	Find the Vertex	y=-3x^2+4	$y = - 3 x^{2} + 4$
41362	Find the Vertex	x^2+4x-2y+14=0	$x^{2} + 4 x - 2 y + 14 = 0$
41363	Find the Vertex	x^2+6x=4y-5	$x^{2} + 6 x = 4 y - 5$
41364	Find the Vertex	(x-1)^2=8(y-2)	${(x - 1)}^{2} = 8 (y - 2)$
41365	Find the Vertex	x^2+10x-2y+37=0	$x^{2} + 10 x - 2 y + 37 = 0$
41366	Find the Roots (Zeros)	f(x)=8x^3+40x^2+48x	$f (x) = 8 x^{3} + 40 x^{2} + 48 x$
41367	Find the Roots (Zeros)	f(x)=x^2e^x-36e^x	$f (x) = x^{2} e^{x} - 36 e^{x}$
41368	Convert to a Simplified Fraction	square root of 65	$\sqrt{65}$
41369	Solve by Factoring	21x^2+44x-32=0	$21 x^{2} + 44 x - 32 = 0$
41370	Find the Domain and Range	(x^2)/225-(y^2)/64=1	$\frac{x^{2}}{225} - \frac{y^{2}}{64} = 1$
41371	Find the Domain and Range	(y^2)/9-(x^2)/25=1	$\frac{y^{2}}{9} - \frac{x^{2}}{25} = 1$
41372	Find the Domain and Range	y=3sin(x)	$y = 3 \sin (x)$
41373	Solve for M	4-5M=24	$4 - 5 M = 24$
41374	Find the Center and Radius	x^2+y^2+10x-12y+57=0	$x^{2} + y^{2} + 10 x - 12 y + 57 = 0$
41375	Find the Center and Radius	x^2+y^2+3/4x+5/3y-1/2=0	$x^{2} + y^{2} + \frac{3}{4} x + \frac{5}{3} y - \frac{1}{2} = 0$
41376	Find the Center and Radius	x^2+y^2+5x-4y=0	$x^{2} + y^{2} + 5 x - 4 y = 0$
41377	Find the Center and Radius	16x^2+16y^2+160x-320y=0	$16 x^{2} + 16 y^{2} + 160 x - 320 y = 0$
41378	Solve by Substitution	x^2+y^2=130x-y=8	$x^{2} + y^{2} = 130 x - y = 8$
41379	Split Using Partial Fraction Decomposition	(-11x-34)/((x-2)^2(x^2+3))	$\frac{- 11 x - 34}{{(x - 2)}^{2} (x^{2} + 3)}$
41380	Simplify	square root of (5x)/4	$\sqrt{\frac{5 x}{4}}$
41381	Find the x and y Intercepts	f(x)=(1/3)^x	$f (x) = {(\frac{1}{3})}^{x}$
41382	Expand Using the Binomial Theorem	(2x-3y)^10	${(2 x - 3 y)}^{10}$
41383	Find the Domain and Range	(x^2)/144-(y^2)/25=1	$\frac{x^{2}}{144} - \frac{y^{2}}{25} = 1$
41384	Find the Domain and Range	x^2=6y	$x^{2} = 6 y$
41385	Find the Domain and Range	f(x)=2/(x^2-2x-3)	$f (x) = \frac{2}{x^{2} - 2 x - 3}$
41386	Write in Standard Form	x^2-y^2-2x-2y-1=0	$x^{2} - y^{2} - 2 x - 2 y - 1 = 0$
41387	Write in Standard Form	x^2-y^2-10x-10y-1=0	$x^{2} - y^{2} - 10 x - 10 y - 1 = 0$
41388	Write in Standard Form	x^2-y^2-10x-12y-12=0	$x^{2} - y^{2} - 10 x - 12 y - 12 = 0$
41389	Write in Standard Form	x^2+2xy+y^2-8x+8y=0	$x^{2} + 2 x y + y^{2} - 8 x + 8 y = 0$
41390	Write in Standard Form	x^2+2x+y-1=0	$x^{2} + 2 x + y - 1 = 0$
41391	Write in Standard Form	9x^2+4y^2+18x+24y+9=0	$9 x^{2} + 4 y^{2} + 18 x + 24 y + 9 = 0$
41392	Write in Standard Form	4y^2+32x-28y-15=0	$4 y^{2} + 32 x - 28 y - 15 = 0$
41393	Write in Standard Form	9x^2+16y^2+54x-32y-47=0	$9 x^{2} + 16 y^{2} + 54 x - 32 y - 47 = 0$
41394	Write in Standard Form	9x^2+4y^2-36x+24y+36=0	$9 x^{2} + 4 y^{2} - 36 x + 24 y + 36 = 0$
41395	Write in Standard Form	9x^2+4y^2-54x-8y-59=0	$9 x^{2} + 4 y^{2} - 54 x - 8 y - 59 = 0$
41396	Write in Standard Form	-16x^2+9y^2-224x+90y-703=0	$- 16 x^{2} + 9 y^{2} - 224 x + 90 y - 703 = 0$
41397	Write in Standard Form	4x^2+25y^2-16x+50y-59=0	$4 x^{2} + 25 y^{2} - 16 x + 50 y - 59 = 0$
41398	Write in Standard Form	4x^2+16y^2-56x+64y+196=0	$4 x^{2} + 16 y^{2} - 56 x + 64 y + 196 = 0$
41399	Write in Standard Form	4x^2+36y^2-72y-108=0	$4 x^{2} + 36 y^{2} - 72 y - 108 = 0$
41400	Convert from Degrees to Radians	-520 degrees	$- 520 °$