Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
40201	Graph	((x-1)^2)/9+((y-3)^2)/4=1	$\frac{{(x - 1)}^{2}}{9} + \frac{{(y - 3)}^{2}}{4} = 1$
40202	Graph	((x-2)^2)/16-((y-3)^2)/9=1	$\frac{{(x - 2)}^{2}}{16} - \frac{{(y - 3)}^{2}}{9} = 1$
40203	Graph	((x-2)^2)/16+((y+4)^2)/12=1	$\frac{{(x - 2)}^{2}}{16} + \frac{{(y + 4)}^{2}}{12} = 1$
40204	Graph	((x-2)^2)/25+((y+3)^2)/4=1	$\frac{{(x - 2)}^{2}}{25} + \frac{{(y + 3)}^{2}}{4} = 1$
40205	Graph	((x-2)^2)/4+((y+5)^2)/36=1	$\frac{{(x - 2)}^{2}}{4} + \frac{{(y + 5)}^{2}}{36} = 1$
40206	Graph	((x-2)^2)/7+(y-1)/16=1	$\frac{{(x - 2)}^{2}}{7} + \frac{y - 1}{16} = 1$
40207	Graph	((x-2)^2)/7+((y-3)^2)/15=1	$\frac{{(x - 2)}^{2}}{7} + \frac{{(y - 3)}^{2}}{15} = 1$
40208	Graph	((x-2)^2)/9-((y-3)^2)/16=1	$\frac{{(x - 2)}^{2}}{9} - \frac{{(y - 3)}^{2}}{16} = 1$
40209	Graph	((x-2)^2)/9+((y+1)^2)/16=1	$\frac{{(x - 2)}^{2}}{9} + \frac{{(y + 1)}^{2}}{16} = 1$
40210	Graph	((x-2)^2)/9+((y-1)^2)/4=1	$\frac{{(x - 2)}^{2}}{9} + \frac{{(y - 1)}^{2}}{4} = 1$
40211	Graph	((x-3)^2)/16-((y+2)^2)/33=1	$\frac{{(x - 3)}^{2}}{16} - \frac{{(y + 2)}^{2}}{33} = 1$
40212	Graph	((x-3)^2)/16+((y+5)^2)/9=1	$\frac{{(x - 3)}^{2}}{16} + \frac{{(y + 5)}^{2}}{9} = 1$
40213	Graph	((x-3)^2)/25+((y+1)^2)/4=1	$\frac{{(x - 3)}^{2}}{25} + \frac{{(y + 1)}^{2}}{4} = 1$
40214	Graph	((x-3)^2)/4-((y-2)^2)/9=1	$\frac{{(x - 3)}^{2}}{4} - \frac{{(y - 2)}^{2}}{9} = 1$
40215	Graph	((x-3)^2)/4-(y^2)/49=1	$\frac{{(x - 3)}^{2}}{4} - \frac{y^{2}}{49} = 1$
40216	Graph	((x-3)^2)/4+((y-7)^2)/36=1	$\frac{{(x - 3)}^{2}}{4} + \frac{{(y - 7)}^{2}}{36} = 1$
40217	Graph	((x-3)^2)/4+(y-10^2)/81=1	$\frac{{(x - 3)}^{2}}{4} + \frac{y - 10^{2}}{81} = 1$
40218	Graph	((x-3)^2)/8+((y-1)^2)/9=1	$\frac{{(x - 3)}^{2}}{8} + \frac{{(y - 1)}^{2}}{9} = 1$
40219	Graph	((x-3)^2)/9-((y+5)^2)/16=1	$\frac{{(x - 3)}^{2}}{9} - \frac{{(y + 5)}^{2}}{16} = 1$
40220	Graph	((x-3)^2)/9+((y+1)^2)/16=1	$\frac{{(x - 3)}^{2}}{9} + \frac{{(y + 1)}^{2}}{16} = 1$
40221	Graph	((x-3)^2)/9+((y-6)^2)/16=1	$\frac{{(x - 3)}^{2}}{9} + \frac{{(y - 6)}^{2}}{16} = 1$
40222	Graph	((x-4)^2)/100-((y-3)^2)/64=1	$\frac{{(x - 4)}^{2}}{100} - \frac{{(y - 3)}^{2}}{64} = 1$
40223	Graph	((x-4)^2)/25+((y+2)^2)/9=1	$\frac{{(x - 4)}^{2}}{25} + \frac{{(y + 2)}^{2}}{9} = 1$
40224	Graph	((x-4)^2)/4-((y+7)^2)/25=1	$\frac{{(x - 4)}^{2}}{4} - \frac{{(y + 7)}^{2}}{25} = 1$
40225	Graph	((x-4)^2)/4-((y-2)^2)/36=1	$\frac{{(x - 4)}^{2}}{4} - \frac{{(y - 2)}^{2}}{36} = 1$
40226	Graph	((x-5)^2)/100-((y-2)^2)/576=1	$\frac{{(x - 5)}^{2}}{100} - \frac{{(y - 2)}^{2}}{576} = 1$
40227	Simplify	(1-cos(theta)^2)/(cos(theta)^2)	$\frac{1 - \cos^{2} (θ)}{\cos^{2} (θ)}$
40228	Graph	(- square root of 3)/3	$\frac{- \sqrt{3}}{3}$
40229	Graph	( square root of 3)/(tan(60))	$\frac{\sqrt{3}}{\tan (60)}$
40230	Graph	( square root of 6 square root of 43)/49	$\frac{\sqrt{6} \sqrt{43}}{49}$
40231	Graph	( square root of 9sec(x)^2-81)/(9sec(x))	$\frac{\sqrt{9 \sec^{2} (x) - 81}}{9 \sec (x)}$
40232	Graph	( cube root of c^2d^8)/( fourth root of c^2d^2)	$\frac{\sqrt[3]{c^{2} d^{8}}}{\sqrt[4]{c^{2} d^{2}}}$
40233	Graph	x/9+(y^2)/16=1	$\frac{x}{9} + \frac{y^{2}}{16} = 1$
40234	Graph	(x^2)/(130^2)+(y^2)/(20^2)=1	$\frac{x^{2}}{130^{2}} + \frac{y^{2}}{20^{2}} = 1$
40235	Graph	(x^2)/(2^2)-(y^2)/(5^2)=1	$\frac{x^{2}}{2^{2}} - \frac{y^{2}}{5^{2}} = 1$
40236	Graph	(x^2)/(25/16)+(y^2)/(81/16)=1	$\frac{x^{2}}{\frac{25}{16}} + \frac{y^{2}}{\frac{81}{16}} = 1$
40237	Graph	(x^2)/(4^2)-(y^2)/(2^2)=1	$\frac{x^{2}}{4^{2}} - \frac{y^{2}}{2^{2}} = 1$
40238	Graph	(x^2)/(4^2)+(y^2)/(9^2)=1	$\frac{x^{2}}{4^{2}} + \frac{y^{2}}{9^{2}} = 1$
40239	Graph	(x^2)/(50^2)+(y^2)/(20^2)=1	$\frac{x^{2}}{50^{2}} + \frac{y^{2}}{20^{2}} = 1$
40240	Graph	(x^2)/(8^2)-(y^2)/(4^2)=1	$\frac{x^{2}}{8^{2}} - \frac{y^{2}}{4^{2}} = 1$
40241	Graph	(x^2)/(a^2)+(y^2)/(b^2)=1	$\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1$
40242	Graph	(x^2)/0+(y-3)/9=1	$\frac{x^{2}}{0} + \frac{y - 3}{9} = 1$
40243	Graph	(x^2)/1+(y^2)/(1/5)=1	$\frac{x^{2}}{1} + \frac{y^{2}}{\frac{1}{5}} = 1$
40244	Graph	(x^2)/1+(y^2)/16=64	$\frac{x^{2}}{1} + \frac{y^{2}}{16} = 64$
40245	Graph	( log of 262144)/( log of 2)	$\frac{\log (262144)}{\log (2)}$
40246	Graph	((n-6)/n)/(9/n)	$\frac{\frac{n - 6}{n}}{\frac{9}{n}}$
40247	Graph	(pi/2)/36	$\frac{\frac{π}{2}}{36}$
40248	Graph	arcsin(x)=y	$\arcsin (x) = y$
40249	Graph	sin(2x-3)^2(2x-3)cos(2x+2)=0	$\sin^{2} (2 x - 3) (2 x - 3) \cos (2 x + 2) = 0$
40250	Graph	( square root of 110)/11	$\frac{\sqrt{110}}{11}$
40251	Graph	( square root of 144+25p^2)/4	$\frac{\sqrt{144 + 25 p^{2}}}{4}$
40252	Graph	( square root of 18)/( square root of 2)	$\frac{\sqrt{18}}{\sqrt{2}}$
40253	Graph	( square root of 2sin(x)^2-1)/(cos(x))	$\frac{\sqrt{2 \sin^{2} (x) - 1}}{\cos (x)}$
40254	Graph	(x^2)/144+(y^2)/95=1	$\frac{x^{2}}{144} + \frac{y^{2}}{95} = 1$
40255	Graph	(x^2)/144+y/108=1	$\frac{x^{2}}{144} + \frac{y}{108} = 1$
40256	Graph	(x^2)/16-((y)^2)/9=1	$\frac{x^{2}}{16} - \frac{{(y)}^{2}}{9} = 1$
40257	Graph	(x^2)/100+((y-1)^2)/25=1	$\frac{x^{2}}{100} + \frac{{(y - 1)}^{2}}{25} = 1$
40258	Graph	(x^2)/100+(y^2)/4=1	$\frac{x^{2}}{100} + \frac{y^{2}}{4} = 1$
40259	Graph	(x^2)/100+(y^2)/91=1	$\frac{x^{2}}{100} + \frac{y^{2}}{91} = 1$
40260	Graph	-( square root of 3)/2	$- \frac{\sqrt{3}}{2}$
40261	Graph	(x^2)/16-(y^2)/8=1	$\frac{x^{2}}{16} - \frac{y^{2}}{8} = 1$
40262	Graph	-(x^2)/16+((y-5)^2)/9=1	$- \frac{x^{2}}{16} + \frac{{(y - 5)}^{2}}{9} = 1$
40263	Graph	(x^2)/2+(y^2)/2=1	$\frac{x^{2}}{2} + \frac{y^{2}}{2} = 1$
40264	Graph	(x^2)/2+(y^2)/8=1	$\frac{x^{2}}{2} + \frac{y^{2}}{8} = 1$
40265	Graph	(x^2)/20-(y^2)/36=1	$\frac{x^{2}}{20} - \frac{y^{2}}{36} = 1$
40266	Simplify	1-2sin(theta/3)^2	$1 - 2 \sin^{2} (\frac{θ}{3})$
40267	Graph	(x^2)/225+(y^2)/121=1	$\frac{x^{2}}{225} + \frac{y^{2}}{121} = 1$
40268	Graph	(x^2)/225+(y^2)/144=1	$\frac{x^{2}}{225} + \frac{y^{2}}{144} = 1$
40269	Graph	(x^2)/225+(y^2)/81=1	$\frac{x^{2}}{225} + \frac{y^{2}}{81} = 1$
40270	Graph	(x^2)/25-(y^2)/100=1	$\frac{x^{2}}{25} - \frac{y^{2}}{100} = 1$
40271	Graph	(x^2)/25-(y^2)/144=1	$\frac{x^{2}}{25} - \frac{y^{2}}{144} = 1$
40272	Graph	(x^2)/36-(y^2)/9	$\frac{x^{2}}{36} - \frac{y^{2}}{9}$
40273	Graph	(x^2)/36+(y^2)/1=1	$\frac{x^{2}}{36} + \frac{y^{2}}{1} = 1$
40274	Graph	(x^2)/36+(y^2)/144=1	$\frac{x^{2}}{36} + \frac{y^{2}}{144} = 1$
40275	Graph	(x^2)/25+(y^2)/100=1	$\frac{x^{2}}{25} + \frac{y^{2}}{100} = 1$
40276	Graph	(x^2)/16+(y^2)/36=6	$\frac{x^{2}}{16} + \frac{y^{2}}{36} = 6$
40277	Graph	1/2x^2+1/8y^2=1/4	$\frac{1}{2} x^{2} + \frac{1}{8} y^{2} = \frac{1}{4}$
40278	Graph	1/2-2i-2j	$\frac{1}{2} - 2 i - 2 j$
40279	Graph	1/2*arcsin(pi/3)	$\frac{1}{2} \cdot \arcsin (\frac{π}{3})$
40280	Graph	1/2*arcsin(2x)	$\frac{1}{2} \cdot \arcsin (2 x)$
40281	Graph	1/2*(bcsin(a))	$\frac{1}{2} \cdot (b c \sin (a))$
40282	Graph	1/2*(cos(1/4)(x-pi/2))+1	$\frac{1}{2} \cdot (\cos (\frac{1}{4}) (x - \frac{π}{2})) + 1$
40283	Graph	1/2*cos(3/2x)	$\frac{1}{2} \cdot \cos (\frac{3}{2} x)$
40284	Graph	1/2*cos(2x+90)	$\frac{1}{2} \cdot \cos (2 x + 90)$
40285	Graph	(y^2)/9-(x^2)/72=1	$\frac{y^{2}}{9} - \frac{x^{2}}{72} = 1$
40286	Graph	\|10+4x\|<6	$\| 10 + 4 x \| < 6$
40287	Graph	1/2*cos(x-x/pi)	$\frac{1}{2} \cdot \cos (x - \frac{x}{π})$
40288	Graph	1/2*cos(x+pi)	$\frac{1}{2} \cdot \cos (x + π)$
40289	Graph	1/2*cot(pi/x)	$\frac{1}{2} \cdot \cot (\frac{π}{x})$
40290	Graph	-1/2*cot((pix)/4)	$- \frac{1}{2} \cdot \cot (\frac{π x}{4})$
40291	Graph	-1/2*csc(3x+pi/4)	$- \frac{1}{2} \cdot \csc (3 x + \frac{π}{4})$
40292	Evaluate	sin(-(11pi)/12)	$\sin (- \frac{11 π}{12})$
40293	Graph	1/2*cos(3x)	$\frac{1}{2} \cdot \cos (3 x)$
40294	Graph	1/2*cos(3x+pi/3)-2	$\frac{1}{2} \cdot \cos (3 x + \frac{π}{3}) - 2$
40295	Graph	1/2*cos(4x+pi/6)	$\frac{1}{2} \cdot \cos (4 x + \frac{π}{6})$
40296	Graph	y=2cos(x)-3	$y = 2 \cos (x) - 3$
40297	Graph	-1/2p	$- \frac{1}{2} p$
40298	Graph	1/2*sin(2/3x-pi/2)	$\frac{1}{2} \cdot \sin (\frac{2}{3} x - \frac{π}{2})$
40299	Graph	1/2*sin(1x-pi/4)	$\frac{1}{2} \cdot \sin (1 x - \frac{π}{4})$
40300	Evaluate	cot(pi/9)	$\cot (\frac{π}{9})$