Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
13401	Split Using Partial Fraction Decomposition	1/((x-1)(x-2))	$\frac{1}{(x - 1) (x - 2)}$
13402	Split Using Partial Fraction Decomposition	(x^5-4x^4+2x^3-7x^2+2x+12)/(x^3-4x^2+2x-8)	$\frac{x^{5} - 4 x^{4} + 2 x^{3} - 7 x^{2} + 2 x + 12}{x^{3} - 4 x^{2} + 2 x - 8}$
13403	Split Using Partial Fraction Decomposition	1/2(30)^2(31pi)/36	$\frac{1}{2} \cdot {(30)}^{2} \cdot \frac{31 π}{36}$
13404	Split Using Partial Fraction Decomposition	1/(x^2-x-2)	$\frac{1}{x^{2} - x - 2}$
13405	Split Using Partial Fraction Decomposition	1/(x^3-1)	$\frac{1}{x^{3} - 1}$
13406	Split Using Partial Fraction Decomposition	104000/(1+4500e^(-0))	$\frac{104000}{1 + 4500 e^{- 0}}$
13407	Find the Domain	tan(2x)	$\tan (2 x)$
13408	Find the Domain	tan(3x)=(3tan(x)-tan(x)^3)/(1-3tan(x)^2)	$\tan (3 x) = \frac{3 \tan (x) - \tan^{3} (x)}{1 - 3 \tan^{2} (x)}$
13409	Find the Domain	tan(x)+sec(x)=1	$\tan (x) + \sec (x) = 1$
13410	Find the Domain	sin(2arctan(x))	$\sin (2 \arctan (x))$
13411	Find the Domain	r=9cos(x)	$r = 9 \cos (x)$
13412	Find the Domain	y=e^x+1	$y = e^{x} + 1$
13413	Find the Domain	y=\|-3x-6\|	$y = \| - 3 x - 6 \|$
13414	Find the Domain	y=1/(2^(x-1))	$y = \frac{1}{2^{x - 1}}$
13415	Find the Domain	y=(1/2)^x	$y = {(\frac{1}{2})}^{x}$
13416	Find the Domain	y=(1/3)^x	$y = {(\frac{1}{3})}^{x}$
13417	Find the Domain	y=\| natural log of x\|	$y = \| \ln (x) \|$
13418	Find the Domain	y=1/(1+ square root of 1-x)	$y = \frac{1}{1 + \sqrt{1 - x}}$
13419	Find the Domain	y=(x+2)/(x-5)	$y = \frac{x + 2}{x - 5}$
13420	Find the Domain	x=y^7	$x = y^{7}$
13421	Find the Domain	natural log of x^2-16	$\ln (x^{2} - 16)$
13422	Find the Domain	natural log of x^2-25	$\ln (x^{2} - 25)$
13423	Find the Domain	h(x) = natural log of x-8	$h (x) = \ln (x - 8)$
13424	Find the Domain	natural log of 1/(x-7)	$\ln (\frac{1}{x - 7})$
13425	Find the Domain	natural log of x^2-9	$\ln (x^{2} - 9)$
13426	Find the Domain	natural log of 1-x^2	$\ln (1 - x^{2})$
13427	Find the Domain	- natural log of 2x+4	$- \ln (2 x + 4)$
13428	Find the Domain	h(x)=x^2-8x+1	$h (x) = x^{2} - 8 x + 1$
13429	Find the Domain	h(x) = square root of 3x-12	$h (x) = \sqrt{3 x - 12}$
13430	Find the Domain	h(x)=(x+8)/(x^2-64)	$h (x) = \frac{x + 8}{x^{2} - 64}$
13431	Find the Domain	h(x)=(x-4)/(x^2-16)	$h (x) = \frac{x - 4}{x^{2} - 16}$
13432	Find the Domain	h(x)=(x-4)/(x^3-16x)	$h (x) = \frac{x - 4}{x^{3} - 16 x}$
13433	Find the Domain	h(z)=2/(4-z)	$h (z) = \frac{2}{4 - z}$
13434	Find the Domain	natural log of 5-x	$\ln (5 - x)$
13435	Find the Domain	natural log of x-4	$\ln (x - 4)$
13436	Find the Domain	log of x^2-16	$\log (x^{2} - 16)$
13437	Find the Domain	log of 25-x^2	$\log (25 - x^{2})$
13438	Find the Domain	log of 3x-2	$\log (3 x - 2)$
13439	Find the Domain	g(x) = square root of x-5	$g (x) = \sqrt{x - 5}$
13440	Find the Domain	g(x)=x^2-2	$g (x) = x^{2} - 2$
13441	Find the Domain	g(x) = square root of x+9-1/x	$g (x) = \sqrt{x + 9} - \frac{1}{x}$
13442	Find the Domain	g(x)=(x+4)/(x^2-25)	$g (x) = \frac{x + 4}{x^{2} - 25}$
13443	Find the Domain	g(x) = square root of x^2-9	$g (x) = \sqrt{x^{2} - 9}$
13444	Find the Domain	g(x)=(5x)/(x^2-16)	$g (x) = \frac{5 x}{x^{2} - 16}$
13445	Find the Domain	g(x)=(9x)/(x^2-1)	$g (x) = \frac{9 x}{x^{2} - 1}$
13446	Find the Domain	g(x) = log base 6 of x	$g (x) = \log_{6} (x)$
13447	Find the Domain	g(x)=x-6	$g (x) = x - 6$
13448	Find the Domain	g(y) = square root of y-10	$g (y) = \sqrt{y - 10}$
13449	Find the Domain	h(x)=1/x-3/(x+2)	$h (x) = \frac{1}{x} - \frac{3}{x + 2}$
13450	Find the Domain	h(x)=(x^2-5x+4)/(x^2-4)	$h (x) = \frac{x^{2} - 5 x + 4}{x^{2} - 4}$
13451	Find the Domain	h(t)=4/t	$h (t) = \frac{4}{t}$
13452	Find the Domain	g(x) = natural log of x-8	$g (x) = \ln (x - 8)$
13453	Find the Domain	f(x)=(x+1)/(x^2-36)	$f (x) = \frac{x + 1}{x^{2} - 36}$
13454	Find the Domain	f(x)=(x+4)/(x^2-x-6)	$f (x) = \frac{x + 4}{x^{2} - x - 6}$
13455	Find the Domain	f(x)=(x+4)/(x^3-4x)	$f (x) = \frac{x + 4}{x^{3} - 4 x}$
13456	Find the Domain	f(x)=(x+2)/(3x-12)	$f (x) = \frac{x + 2}{3 x - 12}$
13457	Find the Domain	f(x)=(x-1)/(x^2+1)	$f (x) = \frac{x - 1}{x^{2} + 1}$
13458	Find the Domain	f(x)=(x-4)/(x^2-3x-28)	$f (x) = \frac{x - 4}{x^{2} - 3 x - 28}$
13459	Find the Domain	f(x)=(x-6)/(x^2-36)	$f (x) = \frac{x - 6}{x^{2} - 36}$
13460	Find the Domain	f(x)=(x+8)/(x-3)	$f (x) = \frac{x + 8}{x - 3}$
13461	Find the Domain	f(x)=(x+9)/(x^2-81)	$f (x) = \frac{x + 9}{x^{2} - 81}$
13462	Find the Domain	f(x)=14- natural log of x	$f (x) = 14 - \ln (x)$
13463	Find the Domain	f(x)=x/(x^3-27)	$f (x) = \frac{x}{x^{3} - 27}$
13464	Find the Domain	f(x) = cube root of x+2	$f (x) = \sqrt[3]{x + 2}$
13465	Find the Domain	f(x)=(x-3)/(x^2+9x-22)	$f (x) = \frac{x - 3}{x^{2} + 9 x - 22}$
13466	Find the Domain	f(x)=x/(x^2+4x-21)	$f (x) = \frac{x}{x^{2} + 4 x - 21}$
13467	Find the Domain	f(x) = square root of x-6	$f (x) = \sqrt{x - 6}$
13468	Find the Domain	f(x)=(x+1)/(x^2-3x-40)	$f (x) = \frac{x + 1}{x^{2} - 3 x - 40}$
13469	Find the Domain	x^9	$x^{9}$
13470	Find the Domain	y = square root of x-8	$y = \sqrt{x - 8}$
13471	Find the Domain	f(x) = fourth root of x^2-6x	$f (x) = \sqrt[4]{x^{2} - 6 x}$
13472	Find the Domain	(2x-5)/(1-x)	$\frac{2 x - 5}{1 - x}$
13473	Find the Domain	f(x)=x/(x-6)	$f (x) = \frac{x}{x - 6}$
13474	Find the Domain	f(x) = square root of 1-x^2	$f (x) = \sqrt{1 - x^{2}}$
13475	Find the Domain	f(x)=x^2-2x-15	$f (x) = x^{2} - 2 x - 15$
13476	Find the Domain	f(x) = square root of 6-x^2	$f (x) = \sqrt{6 - x^{2}}$
13477	Find the Domain	g(x)=1/(x^2-81)	$g (x) = \frac{1}{x^{2} - 81}$
13478	Find the Domain	g(x)=1/(3-x)	$g (x) = \frac{1}{3 - x}$
13479	Find the Domain	g(x)=( square root of x)/(2x^2+x-1)	$g (x) = \frac{\sqrt{x}}{2 x^{2} + x - 1}$
13480	Find the Domain	g(x)=( square root of x)/(5x^2+4x-1)	$g (x) = \frac{\sqrt{x}}{5 x^{2} + 4 x - 1}$
13481	Find the Domain	f(x)=x+12/x	$f (x) = x + \frac{12}{x}$
13482	Find the Domain	f(x) = natural log of x^2-4x-12	$f (x) = \ln (x^{2} - 4 x - 12)$
13483	Find the Domain	f(x) = natural log of (x+3)/(x-2)	$f (x) = \ln (\frac{x + 3}{x - 2})$
13484	Find the Domain	f(x) = natural log of 2x-3	$f (x) = \ln (2 x - 3)$
13485	Find the Domain	f(x) = natural log of 1/(x-2)	$f (x) = \ln (\frac{1}{x - 2})$
13486	Find the Domain	f(x)=9-4x+3x^2	$f (x) = 9 - 4 x + 3 x^{2}$
13487	Find the Domain	( cube root of x)/(x^2+1)	$\frac{\sqrt[3]{x}}{x^{2} + 1}$
13488	Simplify	cos(theta+pi)	$\cos (θ + π)$
13489	Find the Domain	f(x)=2x-5	$f (x) = 2 x - 5$
13490	Find the Domain	f(x) = natural log of 6-x	$f (x) = \ln (6 - x)$
13491	Find the Domain	f(x) = natural log of 9-x	$f (x) = \ln (9 - x)$
13492	Find the Domain	f(x) = natural log of x+ natural log of 2-x	$f (x) = \ln (x) + \ln (2 - x)$
13493	Find the Domain	f(x) = natural log of 7-x	$f (x) = \ln (7 - x)$
13494	Find the Domain	square root of 3-t- square root of 2+t	$\sqrt{3 - t} - \sqrt{2 + t}$
13495	Find the Domain	f(x)=-2cot(3x)	$f (x) = - 2 \cot (3 x)$
13496	Find the Domain	f(x)=2sec(pix)	$f (x) = 2 \sec (π x)$
13497	Find the Domain	f(x)=2x-1	$f (x) = 2 x - 1$
13498	Find the Domain	f(x)=10- square root of 3-x	$f (x) = 10 - \sqrt{3 - x}$
13499	Find the Domain	f(x)=2x^2+4x-3	$f (x) = 2 x^{2} + 4 x - 3$
13500	Find the Domain	f(x)=2x^3-7x^2+5x-1	$f (x) = 2 x^{3} - 7 x^{2} + 5 x - 1$