Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
38001	Graph	log of 1000=x	$\log (1000) = x$
38002	Graph	log base 1000 of 65	$\log_{1000} (65)$
38003	Simplify	1+cos(theta)	$1 + \cos (θ)$
38004	Graph	log base 2 of x+8 = log base 2 of 3+ log base 2 of 5	$\log_{2} (x + 8) = \log_{2} (3) + \log_{2} (5)$
38005	Graph	log base 27 of 1/81	$\log_{27} (\frac{1}{81})$
38006	Graph	log base 3 of square root of 9x^3	$\log_{3} (\sqrt{9 x^{3}})$
38007	Graph	log base 3 of 15	$\log_{3} (15)$
38008	Graph	log base 3 of 1-x	$\log_{3} (1 - x)$
38009	Graph	-(2n)/3	$- \frac{2 n}{3}$
38010	Simplify	1-2sin(2theta)^2	$1 - 2 \sin^{2} (2 θ)$
38011	Graph	(2x-1)/(x+4)=0	$\frac{2 x - 1}{x + 4} = 0$
38012	Graph	3/(cos(x)+sin(x))	$\frac{3}{\cos (x) + \sin (x)}$
38013	Graph	(36m^-4n^6)/(4mn^-2p^-4)	$\frac{36 m^{- 4} n^{6}}{4 m n^{- 2} p^{- 4}}$
38014	Graph	(3pi)/10	$\frac{3 π}{10}$
38015	Graph	(-11pi)/9	$\frac{- 11 π}{9}$
38016	Graph	12/25	$\frac{12}{25}$
38017	Graph	(-127pi)/3	$\frac{- 127 π}{3}$
38018	Graph	(-13pi)/2	$\frac{- 13 π}{2}$
38019	Graph	16/(y+2)-(7y)/(y^2-7)	$\frac{16}{y + 2} - \frac{7 y}{y^{2} - 7}$
38020	Graph	(17pi)/4	$\frac{17 π}{4}$
38021	Graph	-(19pi)/18	$- \frac{19 π}{18}$
38022	Graph	2(x-3)^2+16(y-2)^2=144	$2 {(x - 3)}^{2} + 16 {(y - 2)}^{2} = 144$
38023	Graph	(2r^2-9r-5)/(r^2+10r+25)	$\frac{2 r^{2} - 9 r - 5}{r^{2} + 10 r + 25}$
38024	Solve for r	theta^2=((4pi^2)/(GM))r^3	$θ^{2} = (\frac{4 π^{2}}{G M}) r^{3}$
38025	Graph	2/3*cos(x)	$\frac{2}{3} \cdot \cos (x)$
38026	Graph	2/3x-pi/2=2pi	$\frac{2}{3} x - \frac{π}{2} = 2 π$
38027	Graph	2^2(cos(45)+isin(45))	$2^{2} (\cos (45) + i \sin (45))$
38028	Graph	5/12*(pr)=4	$\frac{5}{12} \cdot (p r) = 4$
38029	Graph	5/8	$\frac{5}{8}$
38030	Graph	59 degrees *29''	$59 ° \cdot 29''$
38031	Graph	(5pi)/18	$\frac{5 π}{18}$
38032	Simplify	-5/(2 square root of 6)	$- \frac{5}{2 \sqrt{6}}$
38033	Graph	(-3sin(x)+4cos(x))/(5cos(x)+2sin(x))	$\frac{- 3 \sin (x) + 4 \cos (x)}{5 \cos (x) + 2 \sin (x)}$
38034	Graph	(3x-5)/(6-2x)=1	$\frac{3 x - 5}{6 - 2 x} = 1$
38035	Graph	4.5/50	$\frac{4.5}{50}$
38036	Graph	4/30	$\frac{4}{30}$
38037	Graph	1/3*cos(4x-pi)	$\frac{1}{3} \cdot \cos (4 x - π)$
38038	Graph	1/4*e^(x-1)+4	$\frac{1}{4} \cdot e^{x - 1} + 4$
38039	Graph	1/9*arccos(x-pi/6)	$\frac{1}{9} \cdot \arccos (x - \frac{π}{6})$
38040	Graph	1/(cos(x)sin(90-x))-(tan(x))/(tan(90-x))	$\frac{1}{\cos (x) \sin (90 - x)} - \frac{\tan (x)}{\tan (90 - x)}$
38041	Graph	1/z=3(cos(1.5)+isin(1.5))	$\frac{1}{z} = 3 (\cos (1.5) + i \sin (1.5))$
38042	Graph	1^i+1^j	$1^{i} + 1^{j}$
38043	Graph	(1+cos(u))/(sin(u))+(sin(u))/(cos(u)+1)	$\frac{1 + \cos (u)}{\sin (u)} + \frac{\sin (u)}{\cos (u) + 1}$
38044	Graph	(1+sin(x))/(1-sin(x))=(csc(x)+1)/(csc(x)-1)	$\frac{1 + \sin (x)}{1 - \sin (x)} = \frac{\csc (x) + 1}{\csc (x) - 1}$
38045	Graph	10^x=1000	$10^{x} = 1000$
38046	Graph	(10x+10^(-x))/(10x-10^(-x))=6	$\frac{10 x + 10^{- x}}{10 x - 10^{- x}} = 6$
38047	Graph	(11pi)/4	$\frac{11 π}{4}$
38048	Graph	(cos(a)^5-sin(a)^4cos(a))/(cos(a)^2-sin(a)^2)-sin(a)	$\frac{\cos^{5} (a) - \sin^{4} (a) \cos (a)}{\cos^{2} (a) - \sin^{2} (a)} - \sin (a)$
38049	Graph	(cot(pi/2)^2tan(pi/2-a))/(sin(pi+a)cos(pi-a))	$\frac{\cot^{2} (\frac{π}{2}) \cdot \tan (\frac{π}{2} - a)}{\sin (π + a) \cdot \cos (π - a)}$
38050	Graph	(r^2-x^2)/(r^2)	$\frac{r^{2} - x^{2}}{r^{2}}$
38051	Graph	(sin(B)^3+cos(B)^3)/(sin(B)cos(B))=1-sin(B)cos(B)	$\frac{\sin^{3} (B) + \cos^{3} (B)}{\sin (B) \cos (B)} = 1 - \sin (B) \cos (B)$
38052	Graph	( square root of 21)/5	$\frac{\sqrt{21}}{5}$
38053	Graph	\|x\|-2<0	$\| x \| - 2 < 0$
38054	Graph	\|x-4\|=7	$\| x - 4 \| = 7$
38055	Graph	\|z-1\|=2\|z-4\|	$\| z - 1 \| = 2 \| z - 4 \|$
38056	Graph	1/( square root of 1-x^2)	$\frac{1}{\sqrt{1 - x^{2}}}$
38057	Graph	1/(1+sin(x))	$\frac{1}{1 + \sin (x)}$
38058	Graph	1/2*(-4x+6)<9	$\frac{1}{2} \cdot (- 4 x + 6) < 9$
38059	Graph	1/2(pi+(sin(pi)^2)/2)+1/2(0+(sin(0)^2)/2)	$\frac{1}{2} \cdot (π + \frac{\sin^{2} (π)}{2}) + \frac{1}{2} \cdot (0 + \frac{\sin^{2} (0)}{2})$
38060	Graph	1/2*cos(1/3x-pi/12)	$\frac{1}{2} \cdot \cos (\frac{1}{3} x - \frac{π}{12})$
38061	Graph	1/2*cos(4x-90)	$\frac{1}{2} \cdot \cos (4 x - 90)$
38062	Graph	1/2*cos(2/(3x))	$\frac{1}{2} \cdot \cos (\frac{2}{3 x})$
38063	Graph	1/2*sin(3/4x-pi/4)	$\frac{1}{2} \cdot \sin (\frac{3}{4} x - \frac{π}{4})$
38064	Graph	1/2*sin(2(x-pi/4))-3	$\frac{1}{2} \cdot \sin (2 (x - \frac{π}{4})) - 3$
38065	Graph	1/2x+2/3y=1	$\frac{1}{2} x + \frac{2}{3} y = 1$
38066	Graph	( square root of 58)/7	$\frac{\sqrt{58}}{7}$
38067	Graph	( square root of 64+8tan(x))/(8tan(x))	$\frac{\sqrt{64 + 8 \tan (x)}}{8 \tan (x)}$
38068	Graph	( cube root of xz^2)/( square root of y)	$\frac{\sqrt[3]{x z^{2}}}{\sqrt{y}}$
38069	Graph	(x^2)/144-(y^2)/256=1	$\frac{x^{2}}{144} - \frac{y^{2}}{256} = 1$
38070	Graph	(x^2)/15+(y^2)/64=1	$\frac{x^{2}}{15} + \frac{y^{2}}{64} = 1$
38071	Graph	(x^2)/25-(4y^2)/25=1	$\frac{x^{2}}{25} - \frac{4 y^{2}}{25} = 1$
38072	Graph	(x^2)/4+(y^2)/5=1	$\frac{x^{2}}{4} + \frac{y^{2}}{5} = 1$
38073	Graph	(x^2)/45+(y^2)/49=1	$\frac{x^{2}}{45} + \frac{y^{2}}{49} = 1$
38074	Graph	(x^2)/49-(y^2)/16=1	$\frac{x^{2}}{49} - \frac{y^{2}}{16} = 1$
38075	Graph	(x^2)/81+(y^2)/17=1	$\frac{x^{2}}{81} + \frac{y^{2}}{17} = 1$
38076	Graph	(x^2)/(x+8)	$\frac{x^{2}}{x + 8}$
38077	Graph	(x^2+2x-3)/(3-\|3\|)	$\frac{x^{2} + 2 x - 3}{3 - \| 3 \|}$
38078	Graph	(x^2-2x-8)/(x-1)	$\frac{x^{2} - 2 x - 8}{x - 1}$
38079	Graph	(y^2)/16-(x^2)/20=1	$\frac{y^{2}}{16} - \frac{x^{2}}{20} = 1$
38080	Solve for ?	tan(theta)-3cot(theta)=0	$\tan (θ) - 3 \cot (θ) = 0$
38081	Graph	\|2x+7\|<15	$\| 2 x + 7 \| < 15$
38082	Graph	\|2x+7\|>15	$\| 2 x + 7 \| > 15$
38083	Graph	\|-5x+10\|>10	$\| - 5 x + 10 \| > 10$
38084	Graph	(1+2 square root of -3)/(1+ square root of -3)	$\frac{1 + 2 \sqrt{- 3}}{1 + \sqrt{- 3}}$
38085	Graph	(-13p)/5	$\frac{- 13 p}{5}$
38086	Graph	(1-tan(x))^2=sec(x)^2-2tan(x)	${(1 - \tan (x))}^{2} = \sec^{2} (x) - 2 \tan (x)$
38087	Graph	(2- square root of 5)^(2n)(2+ square root of 5)^(2n+1)	${(2 - \sqrt{5})}^{2 n} {(2 + \sqrt{5})}^{2 n + 1}$
38088	Graph	(2p)/((3x)/4)	$\frac{2 p}{\frac{3 x}{4}}$
38089	Graph	(2p)/3	$\frac{2 p}{3}$
38090	Graph	(-3p)/4	$\frac{- 3 p}{4}$
38091	Graph	[-pi,pi],sin(s)^2=1/2	$[- π, π] \sin^{2} (s) = \frac{1}{2}$
38092	Graph	(pi/3)/4	$\frac{\frac{π}{3}}{4}$
38093	Graph	x=-(5pi)/4	$x = - \frac{5 π}{4}$
38094	Graph	x=60/61	$x = \frac{60}{61}$
38095	Graph	x=(6pi)/5	$x = \frac{6 π}{5}$
38096	Find the Exact Value	tan(73.7/39.4)	$\tan (\frac{73.7}{39.4})$
38097	Graph	x=(8pi)/3	$x = \frac{8 π}{3}$
38098	Graph	x=pi/12+(-1x)	$x = \frac{π}{12} + (- 1 x)$
38099	Graph	y>5x-10	$y > 5 x - 10$
38100	Graph	y>-6x^2	$y > - 6 x^{2}$