Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
3501	Find the Asymptotes	f(x)=xe^(x^2)	$f (x) = x e^{x^{2}}$
3502	Find the Asymptotes	1.5^x	${1.5}^{x}$
3503	Find the Asymptotes	f(x) = natural log of x+5	$f (x) = \ln (x + 5)$
3504	Find the Asymptotes	g(x)=(2x-4)/(x+3)	$g (x) = \frac{2 x - 4}{x + 3}$
3505	Find the Asymptotes	h(x)=e^(x+1)-1	$h (x) = e^{x + 1} - 1$
3506	Find the Asymptotes	h(x)=(2x-4)/(x^2-4)	$h (x) = \frac{2 x - 4}{x^{2} - 4}$
3507	Find the Asymptotes	h(x)=x/(x(x-5))	$h (x) = \frac{x}{x (x - 5)}$
3508	Find the Asymptotes	H(x)=(x+3)/(x(x-7))	$H (x) = \frac{x + 3}{x (x - 7)}$
3509	Find the Asymptotes	h(x)=(x+3)/(x(x-2))	$h (x) = \frac{x + 3}{x (x - 2)}$
3510	Find the Asymptotes	R(x)=(x^3-8)/(x^2-x-2)	$R (x) = \frac{x^{3} - 8}{x^{2} - x - 2}$
3511	Find the Asymptotes	f(x)=(x+9)/(x^2+4x+2)	$f (x) = \frac{x + 9}{x^{2} + 4 x + 2}$
3512	Find the Asymptotes	f(x)=(x+9)/(x^2+8x+5)	$f (x) = \frac{x + 9}{x^{2} + 8 x + 5}$
3513	Find the Asymptotes	f(x)=(x-1)/(x+2)	$f (x) = \frac{x - 1}{x + 2}$
3514	Find the Asymptotes	f(x)=(x(x-1))/(x^3+9x)	$f (x) = \frac{x (x - 1)}{x^{3} + 9 x}$
3515	Find the Asymptotes	f(x)=x/(x^2-4)	$f (x) = \frac{x}{x^{2} - 4}$
3516	Find the Asymptotes	f(x) = log base 5 of x	$f (x) = \log_{5} (x)$
3517	Find the Asymptotes	f(x)=x/(x+2)	$f (x) = \frac{x}{x + 2}$
3518	Find the Asymptotes	f(x)=4/(x-1)	$f (x) = \frac{4}{x - 1}$
3519	Find the Asymptotes	f(x)=-4/(x^2-3x)	$f (x) = - \frac{4}{x^{2} - 3 x}$
3520	Find the Asymptotes	f(x)=4^x	$f (x) = 4^{x}$
3521	Find the Asymptotes	f(x)=(4x-4)/(x^3-8)	$f (x) = \frac{4 x - 4}{x^{3} - 8}$
3522	Find the Asymptotes	f(x)=(5x^3-51x^2+77x+100)/(x^2-11x+24)	$f (x) = \frac{5 x^{3} - 51 x^{2} + 77 x + 100}{x^{2} - 11 x + 24}$
3523	Find the Asymptotes	f(x)=e^(x+1)	$f (x) = e^{x + 1}$
3524	Find the Asymptotes	f(x)=(x^2-4)/(x-2)	$f (x) = \frac{(x^{2} - 4)}{(x - 2)}$
3525	Find the Asymptotes	f(x)=e^x	$f (x) = e^{x}$
3526	Find the Asymptotes	f(x)=(8x^2-3x+7)/(2x^2+7x)	$f (x) = \frac{8 x^{2} - 3 x + 7}{2 x^{2} + 7 x}$
3527	Find the Asymptotes	f(x)=6/(x-3)	$f (x) = \frac{6}{x - 3}$
3528	Find the Asymptotes	f(x)=(6x)/(6+x)	$f (x) = \frac{6 x}{6 + x}$
3529	Find the Asymptotes	f(x)=(7x)/(x^2-16)	$f (x) = \frac{7 x}{x^{2} - 16}$
3530	Find the Range	y=4sin(x)	$y = 4 \sin (x)$
3531	Find the Range	y=-3cos(2x)	$y = - 3 \cos (2 x)$
3532	Find the Range	y=- natural log of x	$y = - \ln (x)$
3533	Find the Range	y=3sin(x)	$y = 3 \sin (x)$
3534	Find the Range	y=7-e^x	$y = 7 - e^{x}$
3535	Find the Range	y=arctan(x)	$y = \arctan (x)$
3536	Find the Range	y=(1/2)^x	$y = {(\frac{1}{2})}^{x}$
3537	Find the Range	y=2^x	$y = 2^{x}$
3538	Find the Range	g(x)=5+ square root of 4-x	$g (x) = 5 + \sqrt{4 - x}$
3539	Find the Range	g(x)=(x+4)^3-5	$g (x) = {(x + 4)}^{3} - 5$
3540	Find the Range	f(x)=sin(x)	$f (x) = \sin (x)$
3541	Find the Range	x=y^2	$x = y^{2}$
3542	Find the Range	x=4	$x = 4$
3543	Find the Range	f(x)=-(1/10)^x	$f (x) = - {(\frac{1}{10})}^{x}$
3544	Find the Range	-x^2-6x	$- x^{2} - 6 x$
3545	Find the Range	f(x)=x^2+14x+7	$f (x) = x^{2} + 14 x + 7$
3546	Find the Range	f(x)=arcsin(x)	$f (x) = \arcsin (x)$
3547	Find the Range	f(x)=10-x^2	$f (x) = 10 - x^{2}$
3548	Find the Asymptotes	f(x)=(x^2-1)/(x^2-4)	$f (x) = \frac{x^{2} - 1}{x^{2} - 4}$
3549	Find the Asymptotes	-16y^2-54x+9x^2=63	$- 16 y^{2} - 54 x + 9 x^{2} = 63$
3550	Find the Asymptotes	y=e^x	$y = e^{x}$
3551	Solve for x	y=sec(x)	$y = \sec (x)$
3552	Determine if Prime	x^2	$x^{2}$
3553	Cancel the Common Factors	( square root of x+8- square root of 8)/( square root of x+8+ square root of 8)	$\frac{\sqrt{x + 8} - \sqrt{8}}{\sqrt{x + 8} + \sqrt{8}}$
3554	Write in Standard Form	((1+2i)(3-i))/(2+i)	$\frac{(1 + 2 i) (3 - i)}{2 + i}$
3555	Write in Standard Form	(3+5i)/(-2+2i)	$\frac{3 + 5 i}{- 2 + 2 i}$
3556	Write in Standard Form	1/i	$\frac{1}{i}$
3557	Write in Standard Form	4/(4+i)	$\frac{4}{4 + i}$
3558	Write in Standard Form	(3+2i)/(3-4i)	$\frac{3 + 2 i}{3 - 4 i}$
3559	Write in Standard Form	(6+i)/(4-i)	$\frac{6 + i}{4 - i}$
3560	Write in Standard Form	(2-3i)/(3-i)	$\frac{2 - 3 i}{3 - i}$
3561	Write in Standard Form	25/(4-3i)	$\frac{25}{4 - 3 i}$
3562	Write in Standard Form	(2-i)/(-2i)	$\frac{2 - i}{- 2 i}$
3563	Write in Standard Form	(8+5i)/(6-i)	$\frac{8 + 5 i}{6 - i}$
3564	Write in Standard Form	(7-8i)/(1-7i)	$\frac{7 - 8 i}{1 - 7 i}$
3565	Divide	(f(3+h)-f*3)/(3+h-3)	$\frac{f (3 + h) - f \cdot 3}{3 + h - 3}$
3566	Find the Domain	(2x)/(x^2-4)	$\frac{2 x}{x^{2} - 4}$
3567	Divide	(4x^3+2x^2-2x-3)/(2x+1)	$\frac{4 x^{3} + 2 x^{2} - 2 x - 3}{2 x + 1}$
3568	Divide	(s^12n^-10)/(s^8n^-7)	$\frac{s^{12} n^{- 10}}{s^{8} n^{- 7}}$
3569	Divide	(2x-5)/(2-x)	$\frac{2 x - 5}{2 - x}$
3570	Split Using Partial Fraction Decomposition	(9x^2-9x+6)/(2x^3-x^2-8x+4)	$\frac{9 x^{2} - 9 x + 6}{2 x^{3} - x^{2} - 8 x + 4}$
3571	Split Using Partial Fraction Decomposition	(7x+116)/((x-4)^2(x+5))	$\frac{7 x + 116}{{(x - 4)}^{2} (x + 5)}$
3572	Split Using Partial Fraction Decomposition	6/(x^2-9)	$\frac{6}{x^{2} - 9}$
3573	Split Using Partial Fraction Decomposition	7/(x^2-14x)	$\frac{7}{x^{2} - 14 x}$
3574	Split Using Partial Fraction Decomposition	4/(2x^2-5x-3)	$\frac{4}{2 x^{2} - 5 x - 3}$
3575	Split Using Partial Fraction Decomposition	(x+14)/(x^2-2x-8)	$\frac{x + 14}{x^{2} - 2 x - 8}$
3576	Split Using Partial Fraction Decomposition	x/(8x^2-10x+3)	$\frac{x}{8 x^{2} - 10 x + 3}$
3577	Split Using Partial Fraction Decomposition	(x-2)/(x^2+4x+3)	$\frac{x - 2}{x^{2} + 4 x + 3}$
3578	Divide	(x^3+4x^2-3x-12)/(x-3)	$\frac{x^{3} + 4 x^{2} - 3 x - 12}{x - 3}$
3579	Divide	(2x^5-7x^4-13)/(4x^2-6x+8)	$\frac{2 x^{5} - 7 x^{4} - 13}{4 x^{2} - 6 x + 8}$
3580	Divide	(2x-5)/(5x-7)	$\frac{2 x - 5}{5 x - 7}$
3581	Divide	(2x^3-4x^2-15x+5)/((x-1)^2)	$\frac{2 x^{3} - 4 x^{2} - 15 x + 5}{{(x - 1)}^{2}}$
3582	Divide	(4x^-2(yz)^-1)/(2^3x^4y)	$\frac{4 x^{- 2} {(y z)}^{- 1}}{2^{3} x^{4} y}$
3583	Divide	(4x)/(x+1)	$\frac{4 x}{x + 1}$
3584	Divide	(5x^2-17x-12)/(x-4)	$\frac{5 x^{2} - 17 x - 12}{x - 4}$
3585	Divide	(6x^3+2x^2+22x)/(2x^2+5)	$\frac{6 x^{3} + 2 x^{2} + 22 x}{2 x^{2} + 5}$
3586	Divide	(x^8-1)/(x+2)	$\frac{x^{8} - 1}{x + 2}$
3587	Write in Standard Form	7/(3-15i)	$\frac{7}{3 - 15 i}$
3588	Solve by Completing the Square	x^2+3x-7/4=0	$x^{2} + 3 x - \frac{7}{4} = 0$
3589	Solve by Completing the Square	x^2=2x-10	$x^{2} = 2 x - 10$
3590	Solve by Completing the Square	x^2-10x=1575	$x^{2} - 10 x = 1575$
3591	Solve by Completing the Square	x^2-20x+86=-10	$x^{2} - 20 x + 86 = - 10$
3592	Solve by Completing the Square	x^2-8x+15=0	$x^{2} - 8 x + 15 = 0$
3593	Solve by Completing the Square	x^2-4x-91=7	$x^{2} - 4 x - 91 = 7$
3594	Solve by Completing the Square	x^2-2x-6=0	$x^{2} - 2 x - 6 = 0$
3595	Solve by Completing the Square	3g^2-12g=-4	$3 g^{2} - 12 g = - 4$
3596	Solve by Completing the Square	4x^2-x=0	$4 x^{2} - x = 0$
3597	Find the Roots (Zeros)	x^4-2x^3+x^2+12x+8	$x^{4} - 2 x^{3} + x^{2} + 12 x + 8$
3598	Find the Roots (Zeros)	f(x)=x^3-3x^2-81x-77	$f (x) = x^{3} - 3 x^{2} - 81 x - 77$
3599	Find the Roots (Zeros)	x^2+3x-4=0	$x^{2} + 3 x - 4 = 0$
3600	Find the Roots (Zeros)	x^2+2x=6	$x^{2} + 2 x = 6$