Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
3401	Find the Domain	y=1/3x-2	$y = \frac{1}{3} x - 2$
3402	Find the Eigenvalues	[[7,0,1],[-8,1,0],[-8,0,1]]	$[\begin{array}{c} 7 & 0 & 1 \\ - 8 & 1 & 0 \\ - 8 & 0 & 1 \end{array}]$
3403	Find the Null Space	A=[[1,-1,3],[5,-4,-2],[7,-6,4]]	$A = [\begin{array}{c} 1 & - 1 & 3 \\ 5 & - 4 & - 2 \\ 7 & - 6 & 4 \end{array}]$
3404	Find the Trace	[[1,3,4,8,9],[4,5,6,8,9],[12,13,15,2,1],[4,2,-1,3,0],[4,1,3,5,6]]	$[\begin{array}{c} 1 & 3 & 4 & 8 & 9 \\ 4 & 5 & 6 & 8 & 9 \\ 12 & 13 & 15 & 2 & 1 \\ 4 & 2 & - 1 & 3 & 0 \\ 4 & 1 & 3 & 5 & 6 \end{array}]$
3405	Subtract	(4+3i)-(5-7i)	$(4 + 3 i) - (5 - 7 i)$
3406	Find the Domain	1/(x-1)-2/(2x-1)=1	$\frac{1}{x - 1} - \frac{2}{2 x - 1} = 1$
3407	Find the Domain	100^2+100^2=100^x	$100^{2} + 100^{2} = 100^{x}$
3408	Find the Domain	(105x^4*(2x^3)-4x^2-2x+4)/(x+2)	$\frac{105 x^{4} \cdot (2 x^{3}) - 4 x^{2} - 2 x + 4}{x + 2}$
3409	Find the Domain	(12m+15m^2+6m^3)/(3m^2)	$\frac{12 m + 15 m^{2} + 6 m^{3}}{3 m^{2}}$
3410	Find the Domain	(12x-9)/(6x+3)=2-6/x	$\frac{12 x - 9}{6 x + 3} = 2 - \frac{6}{x}$
3411	Find the Domain	14/(3x-12)-(2+x)/(x-4)=3/(8-2x)-3	$\frac{14}{3 x - 12} - \frac{2 + x}{x - 4} = \frac{3}{8 - 2 x} - 3$
3412	Find the Domain	(-14x)/(6x^2-x^2-2)	$\frac{- 14 x}{6 x^{2} - x^{2} - 2}$
3413	Find the Domain	150/10=z	$\frac{150}{10} = z$
3414	Find the Domain	16^x=64	$16^{x} = 64$
3415	Find the Domain	19/x	$\frac{19}{x}$
3416	Find the Domain	(2x^2+16x+30)/(5x^2+13x-6)	$\frac{2 x^{2} + 16 x + 30}{5 x^{2} + 13 x - 6}$
3417	Find the Domain	2/(x^2-9)	$\frac{2}{x^{2} - 9}$
3418	Find the Domain	2/(x^-9.5)	$\frac{2}{x^{- 9.5}}$
3419	Find the Domain	2/(21x)+4/(15x^2)	$\frac{2}{21 x} + \frac{4}{15 x^{2}}$
3420	Find the Domain	2/3*(F-G)=D	$\frac{2}{3} \cdot (F - G) = D$
3421	Find the Domain	2/4+1=6/2n	$\frac{2}{4} + 1 = \frac{6}{2} n$
3422	Find the Domain	-2/5(x-500)=-1/2x+1/10(x+2000)	$- \frac{2}{5} \cdot (x - 500) = - \frac{1}{2} x + \frac{1}{10} \cdot (x + 2000)$
3423	Find the Domain	\|x\|=58.1	$\| x \| = 58.1$
3424	Find the Domain	\|x-1\|+\|x-2\|=3	$\| x - 1 \| + \| x - 2 \| = 3$
3425	Find the Domain	0.15m^3=xcm^3	$0.15 m^{3} = x {cm}^{3}$
3426	Find the Domain	(0f(x))/0	$\frac{0 f (x)}{0}$
3427	Find the Domain	(1.9- square root of 1.9^2-4*0.24)/2	$\frac{1.9 - \sqrt{{1.9}^{2} - 4 \cdot 0.24}}{2}$
3428	Find the Domain	1/(p^-8)	$\frac{1}{p^{- 8}}$
3429	Find the Domain	1/2* square root of x^2-16=4	$\frac{1}{2} \cdot \sqrt{x^{2} - 16} = 4$
3430	Find the Domain	(n^(2-15n+56))/(n^(2-12n+36))	$\frac{n^{2 - 15 n + 56}}{n^{2 - 12 n + 36}}$
3431	Find the Domain	(t^2-6t-27)/(t^2-36)	$\frac{t^{2} - 6 t - 27}{t^{2} - 36}$
3432	Find the Domain	( square root of x)/(x-20)	$\frac{\sqrt{x}}{x - 20}$
3433	Find the Domain	(v^2-8v+15)/(45-5v^2)	$\frac{v^{2} - 8 v + 15}{45 - 5 v^{2}}$
3434	Find the Domain	( cube root of 5^(3/2))/( cube root of 3^(3/2))=x	$\frac{\sqrt[3]{5^{\frac{3}{2}}}}{\sqrt[3]{3^{\frac{3}{2}}}} = x$
3435	Find the Domain	( cube root of 5^-1)/(60/(y^2))	$\frac{\sqrt[3]{5^{- 1}}}{\frac{60}{y^{2}}}$
3436	Find the Domain	( fifth root of 5)^(3-x)=1/25	${(\sqrt[5]{5})}^{3 - x} = \frac{1}{25}$
3437	Find the Domain	(x/12*1/4)/(1/4x)+5/12	$\frac{\frac{x}{12} \cdot \frac{1}{4}}{\frac{1}{4} x} + \frac{5}{12}$
3438	Find the Domain	(x^-1)/(4x^4)	$\frac{x^{- 1}}{4 x^{4}}$
3439	Find the Domain	(x^2)/169+(y^2)/25=1	$\frac{x^{2}}{169} + \frac{y^{2}}{25} = 1$
3440	Find the Domain	(x^2+12)/(x^2+2x-3)	$\frac{x^{2} + 12}{x^{2} + 2 x - 3}$
3441	Find the Domain	(x^2+4x-21)/(x^2+14x+49)	$\frac{x^{2} + 4 x - 21}{x^{2} + 14 x + 49}$
3442	Find the Domain	(x^2+6x+5)/(x^2+11x+30)	$\frac{x^{2} + 6 x + 5}{x^{2} + 11 x + 30}$
3443	Find the Domain	(x^2+7x+13)/(x+4)	$\frac{x^{2} + 7 x + 13}{x + 4}$
3444	Find the Domain	(x^2+x+7)/(x^2-225)	$\frac{x^{2} + x + 7}{x^{2} - 225}$
3445	Find the Domain	(x^2+x-56)/(x^2+x-72)*(x^2+14x+48)/(x^2-3x-28)	$\frac{x^{2} + x - 56}{x^{2} + x - 72} \cdot \frac{x^{2} + 14 x + 48}{x^{2} - 3 x - 28}$
3446	Find the Domain	(x^2-16)/(x^2-3x-28)	$\frac{x^{2} - 16}{x^{2} - 3 x - 28}$
3447	Find the Domain	(x^2-25)/(x^2-2x-15)*(x+3)/x	$\frac{x^{2} - 25}{x^{2} - 2 x - 15} \cdot \frac{x + 3}{x}$
3448	Find the Domain	(x^2-25)/(x^2-9)	$\frac{x^{2} - 25}{x^{2} - 9}$
3449	Find the Domain	(x^2-36)/(x^2-3x-18)	$\frac{x^{2} - 36}{x^{2} - 3 x - 18}$
3450	Find the Domain	(x^2-4)/(x^2+x-6)=((x+2)(x-2))/((x+3)(x-2))	$\frac{x^{2} - 4}{x^{2} + x - 6} = \frac{(x + 2) (x - 2)}{(x + 3) (x - 2)}$
3451	Find the Domain	(x^2-x-6)/(x^2-4)	$\frac{x^{2} - x - 6}{x^{2} - 4}$
3452	Find the Domain	(y^2-16)/(3y+12)	$\frac{y^{2} - 16}{3 y + 12}$
3453	Find the Domain	(y^2-6y-16)/(y^2+10y+21)	$\frac{y^{2} - 6 y - 16}{y^{2} + 10 y + 21}$
3454	Find the Domain	\|(2a-2)/(a+1)\|	$\| \frac{2 a - 2}{a + 1} \|$
3455	Find the Domain	\|0.68x+3.47\|=\|-1.56x+2.63\|	$\| 0.68 x + 3.47 \| = \| - 1.56 x + 2.63 \|$
3456	Find the Domain	\|14y-7\|=-18	$\| 14 y - 7 \| = - 18$
3457	Find the Domain	\|15x-14\|=0	$\| 15 x - 14 \| = 0$
3458	Find the Domain	\|2v+6\|=\|2v-4\|	$\| 2 v + 6 \| = \| 2 v - 4 \|$
3459	Find the Domain	\|2x-6\|=18	$\| 2 x - 6 \| = 18$
3460	Find the Domain	\|3-7x\|=4	$\| 3 - 7 x \| = 4$
3461	Find the Domain	\|3a+5\|=\|4a-9\|	$\| 3 a + 5 \| = \| 4 a - 9 \|$
3462	Find the Domain	\|3x-4\|=x	$\| 3 x - 4 \| = x$
3463	Find the Domain	\|3x-6\|=15	$\| 3 x - 6 \| = 15$
3464	Find the Domain	\|4x+1\|=\|3x-5\|	$\| 4 x + 1 \| = \| 3 x - 5 \|$
3465	Find the Domain	\|4x-1\|-\|2x-3\|+\|x-2\|=0	$\| 4 x - 1 \| - \| 2 x - 3 \| + \| x - 2 \| = 0$
3466	Find the Domain	\|5y-8\|=12	$\| 5 y - 8 \| = 12$
3467	Find the Domain	(3x^3-2x^2-23x+9)/(x-3)	$\frac{3 x^{3} - 2 x^{2} - 23 x + 9}{x - 3}$
3468	Find the Domain	(3x^4-5y^2)^2	${(3 x^{4} - 5 y^{2})}^{2}$
3469	Find the Domain	(36x^5-30x^3+9x^2)/(6x^2)	$\frac{36 x^{5} - 30 x^{3} + 9 x^{2}}{6 x^{2}}$
3470	Find the Domain	(3-h)^2+(-5-k)^2=2( square root of 7)^2	${(3 - h)}^{2} + {(- 5 - k)}^{2} = 2 {(\sqrt{7})}^{2}$
3471	Find the Domain	(-4xy^8)^3	${(- 4 x y^{8})}^{3}$
3472	Find the Domain	(56x^5-49x^3+8x^2)/(7x^2)	$\frac{56 x^{5} - 49 x^{3} + 8 x^{2}}{7 x^{2}}$
3473	Find the Domain	(5n+1)/(5n)	$\frac{5 n + 1}{5 n}$
3474	Find the Domain	(6x)^2	${(6 x)}^{2}$
3475	Find the Domain	(ax+b)^2	${(a x + b)}^{2}$
3476	Find the Domain	((c+5)(c-5))/((c-5)(c+2))	$\frac{(c + 5) (c - 5)}{(c - 5) (c + 2)}$
3477	Find the Domain	(x-5)^2+3(x-1)^2-(8x+1)^2	${(x - 5)}^{2} + 3 {(x - 1)}^{2} - {(8 x + 1)}^{2}$
3478	Find the Domain	(x-5)^4	${(x - 5)}^{4}$
3479	Find the Domain	((x-3)^2)/81-(y^2)/144=1	$\frac{{(x - 3)}^{2}}{81} - \frac{y^{2}}{144} = 1$
3480	Find the Domain	((x^2-81)/(3x-18))/((x^2+18x+81)/(x^2+3x-54))	$\frac{\frac{x^{2} - 81}{3 x - 18}}{\frac{x^{2} + 18 x + 81}{x^{2} + 3 x - 54}}$
3481	Find the Domain	\|p+q\|^2+\|p-q\|^2=2\|p\|^2+2\|q\|^2
3482	Find the Domain	(5^(n+2)-35*5^(n-1))/(18(5^(n+1)))	$\frac{5^{n + 2} - 35 \cdot 5^{n - 1}}{18 (5^{n + 1})}$
3483	Find the Domain	((6x+5)/(2x+7))/((4x)/5-3/4)	$\frac{\frac{6 x + 5}{2 x + 7}}{\frac{4 x}{5} - \frac{3}{4}}$
3484	Find the Domain	(e^(3x))/(3*e^(4x))	$\frac{e^{3 x}}{3 \cdot e^{4 x}}$
3485	Find the Domain	(k^2)/(k-1)=(6k-6)/(k^2)	$\frac{k^{2}}{k - 1} = \frac{6 k - 6}{k^{2}}$
3486	Simplify	square root of a^-2 cube root of a^5b^-3	$\sqrt{a^{- 2}} \sqrt[3]{a^{5} b^{- 3}}$
3487	Simplify	x/(x-4)	$\frac{x}{x - 4}$
3488	Find the Domain	x+10y=11	$x + 10 y = 11$
3489	Find the Domain	((xy)^-3)/((x^-5y)^3)	$\frac{{(x y)}^{- 3}}{{(x^{- 5} y)}^{3}}$
3490	Find the Inverse	[[1,2],[3,4]]	$[\begin{array}{c} 1 & 2 \\ 3 & 4 \end{array}]$
3491	Find the Domain	y=2x^2+x-1	$y = 2 x^{2} + x - 1$
3492	Find the Domain	-5x+3=-8x-9	$- 5 x + 3 = - 8 x - 9$
3493	Find the Domain	9x-15=39	$9 x - 15 = 39$
3494	Find the Domain	y=0.25x-0.05x-100	$y = 0.25 x - 0.05 x - 100$
3495	Find the Domain	y = natural log of x^2+ square root of x+arctg((e^x)/x)+1/x	$y = \ln (x^{2} + \sqrt{x}) + a r c t g (\frac{e^{x}}{x}) + \frac{1}{x}$
3496	Find the Domain	(1/5)R^2	$(\frac{1}{5}) R^{2}$
3497	Find the Domain	(-3/4)x-7	$(- \frac{3}{4}) x - 7$
3498	Find the Domain	(5/6x+3/4)(5/6x-3/4)	$(\frac{5}{6} x + \frac{3}{4}) (\frac{5}{6} x - \frac{3}{4})$
3499	Find the Domain	( log base 2 of x)( log base 8 of x)=12	$(\log_{2} (x)) (\log_{8} (x)) = 12$
3500	Find the Domain	pi/2*pi/3	$\frac{π}{2} \cdot \frac{π}{3}$