Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
11701	Identify the Zeros and Their Multiplicities	y=x^2sin(4x)	$y = x^{2} \sin (4 x)$
11702	Identify the Zeros and Their Multiplicities	y=19000(3^(-0.07x))	$y = 19000 (3^{- 0.07 x})$
11703	Factor	2x^2-15x-21	$2 x^{2} - 15 x - 21$
11704	Factor	(1-z^2)(1-z^2+z)	$(1 - z^{2}) (1 - z^{2} + z)$
11705	Factor	(2e^(0.2x))+cos(x)-5	$(2 e^{0.2 x}) + \cos (x) - 5$
11706	Factor	(4u^3)(6x-1)	$(4 u^{3}) (6 x - 1)$
11707	Factor	(x-2)^4(2x)	${(x - 2)}^{4} (2 x)$
11708	Factor	(y+z)^3-125	${(y + z)}^{3} - 125$
11709	Factor	-1/256x^8+1/16x^6-3/8x^4+x^2	$- \frac{1}{256} x^{8} + \frac{1}{16} x^{6} - \frac{3}{8} x^{4} + x^{2}$
11710	Factor	1/x-1	$\frac{1}{x} - 1$
11711	Factor	(x+h)^4	${(x + h)}^{4}$
11712	Factor	(-4+h)^2+(-4+h)-((-4)^2-4)	${(- 4 + h)}^{2} + (- 4 + h) - ({(- 4)}^{2} - 4)$
11713	Factor	(n+1)^4-1	${(n + 1)}^{4} - 1$
11714	Factor	(t+1)^2	${(t + 1)}^{2}$
11715	Factor	square root of x-1	$\sqrt{x} - 1$
11716	Factor	square root of x*(-x^2)	$\sqrt{x} \cdot (- x^{2})$
11717	Factor	cube root of x-1	$\sqrt[3]{x} - 1$
11718	Factor	square root of x+5- square root of 5( square root of x+5+5)	$\sqrt{x + 5} - \sqrt{5} (\sqrt{x + 5} + 5)$
11719	Factor	x^(5/2)-16x^(1/2)	$x^{\frac{5}{2}} - 16 x^{\frac{1}{2}}$
11720	Factor	t^2-8t+12	$t^{2} - 8 t + 12$
11721	Factor	G^2+16	$G^{2} + 16$
11722	Factor	t^2+2t-3	$t^{2} + 2 t - 3$
11723	Factor	t^2-t-2	$t^{2} - t - 2$
11724	Factor	t^2+3	$t^{2} + 3$
11725	Factor	a^2-b^2+ax+bx	$a^{2} - b^{2} + a x + b x$
11726	Factor	e^(2-x)-e^(2-x)x	$e^{2 - x} - e^{2 - x} x$
11727	Factor	e^x+x*e^x	$e^{x} + x \cdot e^{x}$
11728	Factor	m^2+m+1	$m^{2} + m + 1$
11729	Factor	4/(3x^(2/3))-(4x^(1/3))/3	$\frac{4}{3 x^{\frac{2}{3}}} - \frac{4 x^{\frac{1}{3}}}{3}$
11730	Factor	1/2x-2	$\frac{1}{2} x - 2$
11731	Factor	e^(2x)+2+e^(-2x)	$e^{2 x} + 2 + e^{- 2 x}$
11732	Factor	h^2+11h+121	$h^{2} + 11 h + 121$
11733	Find the Asymptotes	f(x)=(4x)/(x^2-1)	$f (x) = \frac{4 x}{x^{2} - 1}$
11734	Find the Asymptotes	f(x)=(4x^4+4x^3-80x^2)/(x^4-41x^2+400)	$f (x) = \frac{4 x^{4} + 4 x^{3} - 80 x^{2}}{x^{4} - 41 x^{2} + 400}$
11735	Find the Asymptotes	f(x)=(3-4x^2)/(2x^2-3)	$f (x) = \frac{3 - 4 x^{2}}{2 x^{2} - 3}$
11736	Find the Asymptotes	f(x)=(4x^2+4x-24)/(x^4-2x^3-9x^2+18x)	$f (x) = \frac{4 x^{2} + 4 x - 24}{x^{4} - 2 x^{3} - 9 x^{2} + 18 x}$
11737	Find the Asymptotes	f(x)=(5x)/(4-x^2)	$f (x) = \frac{5 x}{4 - x^{2}}$
11738	Find the Asymptotes	f(x)=(6x^2-2x)/(x^2+9)	$f (x) = \frac{6 x^{2} - 2 x}{x^{2} + 9}$
11739	Find the Asymptotes	f(x)=8/(x^2+2)	$f (x) = \frac{8}{x^{2} + 2}$
11740	Find the Asymptotes	f(x)=(9x^2+1)/(5x^3-7x^2+6)	$f (x) = \frac{9 x^{2} + 1}{5 x^{3} - 7 x^{2} + 6}$
11741	Find the Asymptotes	f(x)=(9x^3-8x)/(3x^3-5x+2)	$f (x) = \frac{9 x^{3} - 8 x}{3 x^{3} - 5 x + 2}$
11742	Find the Asymptotes	f(x)=(6x)/(x-1)	$f (x) = \frac{6 x}{x - 1}$
11743	Find the Asymptotes	f(x)=(7x^2+9)/(x^2-9)	$f (x) = \frac{7 x^{2} + 9}{x^{2} - 9}$
11744	Find the Asymptotes	f(x)=7/(x^2-6x-7)	$f (x) = \frac{7}{x^{2} - 6 x - 7}$
11745	Find the Asymptotes	f(x)=a^x	$f (x) = a^{x}$
11746	Find the Asymptotes	f(x)=x/( square root of 25x^2+5)	$f (x) = \frac{x}{\sqrt{25 x^{2} + 5}}$
11747	Evaluate the Summation	sum from k=1 to 625 of 1-7k	$\sum_{k = 1}^{625} 1 - 7 k$
11748	Find the Asymptotes	g(x)=3+ log base 2 of x	$g (x) = 3 + \log_{2} (x)$
11749	Find the Asymptotes	g(t)=(t+1)/(2t-1)	$g (t) = \frac{t + 1}{2 t - 1}$
11750	Find the Asymptotes	g(x)=(x^3)/(x^2-49)	$g (x) = \frac{x^{3}}{x^{2} - 49}$
11751	Find the Asymptotes	f(x)=5+5e^(-0.2x)	$f (x) = 5 + 5 e^{- 0.2 x}$
11752	Find the Asymptotes	f(x)=8x^2e^(-x^2)	$f (x) = 8 x^{2} e^{- x^{2}}$
11753	Find the Asymptotes	f(x) = natural log of x^2+64	$f (x) = \ln (x^{2} + 64)$
11754	Find the Asymptotes	f(x)=3-9/x	$f (x) = 3 - \frac{9}{x}$
11755	Find the Asymptotes	f(x)=sec(x)	$f (x) = \sec (x)$
11756	Evaluate the Integral	integral from 1 to infinity of 1/(x^2) with respect to x	$\int_{1}^{\infty} \frac{1}{x^{2}} d x$
11757	Find the Asymptotes	f(x)=x+108/(x^2)	$f (x) = x + \frac{108}{x^{2}}$
11758	Find the Asymptotes	f(x)=x- natural log of x	$f (x) = x - \ln (x)$
11759	Find the Asymptotes	y=(7+x^4)/(x^2-x^4)	$y = \frac{7 + x^{4}}{x^{2} - x^{4}}$
11760	Find the Asymptotes	f(x)=(x+2)/(x^2-7x-18)	$f (x) = \frac{x + 2}{x^{2} - 7 x - 18}$
11761	Find the Asymptotes	f(x)=x^4-4x^3+10	$f (x) = x^{4} - 4 x^{3} + 10$
11762	Find the Asymptotes	f(x)=3x^(2/3)-2x	$f (x) = 3 x^{\frac{2}{3}} - 2 x$
11763	Find the Asymptotes	f(x)=(x+2)/(x^2-3x-10)	$f (x) = \frac{x + 2}{x^{2} - 3 x - 10}$
11764	Find the Asymptotes	f(x)=(x+9)/(x-9)	$f (x) = \frac{x + 9}{x - 9}$
11765	Evaluate the Integral	integral of e^(2x)sin(3x) with respect to x	$\int e^{2 x} \sin (3 x) d x$
11766	Find the Asymptotes	f(x)=(x+5)/(x^3-13x^2+40x)	$f (x) = \frac{x + 5}{x^{3} - 13 x^{2} + 40 x}$
11767	Find the Asymptotes	f(x)=xe^x	$f (x) = x e^{x}$
11768	Find the Asymptotes	y=(x^2-16)/(x^2-9)	$y = \frac{x^{2} - 16}{x^{2} - 9}$
11769	Find the Asymptotes	y=(5+x^4)/(x^2-x^4)	$y = \frac{5 + x^{4}}{x^{2} - x^{4}}$
11770	Find the Asymptotes	y=(x^2+2)/(7x-2x^2)	$y = \frac{x^{2} + 2}{7 x - 2 x^{2}}$
11771	Find the Asymptotes	y=(x^2-7x-8)/(x+2)	$y = \frac{x^{2} - 7 x - 8}{x + 2}$
11772	Find the Asymptotes	y=(-x^2-4x-7)/(x+3)	$y = \frac{- x^{2} - 4 x - 7}{x + 3}$
11773	Find the Asymptotes	y=(x^3)/(64-x^2)	$y = \frac{x^{3}}{64 - x^{2}}$
11774	Find the Asymptotes	y=(x^2)/(x^2+243)	$y = \frac{x^{2}}{x^{2} + 243}$
11775	Find the Asymptotes	y=(e^x)/(x^2)	$y = \frac{e^{x}}{x^{2}}$
11776	Find the Asymptotes	y=(3x^2-2)/(x^2-4)	$y = \frac{3 x^{2} - 2}{x^{2} - 4}$
11777	Find the Asymptotes	y=(2x^2+4)/(2+7x-4x^2)	$y = \frac{2 x^{2} + 4}{2 + 7 x - 4 x^{2}}$
11778	Find the Asymptotes	y=(x^3)/(x^2-9)	$y = \frac{x^{3}}{x^{2} - 9}$
11779	Find the Asymptotes	y=(2x^2+x-1)/(x^2+x-2)	$y = \frac{2 x^{2} + x - 1}{x^{2} + x - 2}$
11780	Find the Asymptotes	y=(2x^2-32)/(5x^2-5x-60)	$y = \frac{2 x^{2} - 32}{5 x^{2} - 5 x - 60}$
11781	Find the Asymptotes	y=1/(x^2-16)	$y = \frac{1}{x^{2} - 16}$
11782	Find the Asymptotes	R(x)=(x^3-1)/(x^2-3x+2)	$R (x) = \frac{x^{3} - 1}{x^{2} - 3 x + 2}$
11783	Find the Asymptotes	R(x)=(x^3-27)/(x^2+2x-15)	$R (x) = \frac{x^{3} - 27}{x^{2} + 2 x - 15}$
11784	Find the Asymptotes	h(x)=(x^2-2)/(x^2-x-2)	$h (x) = \frac{x^{2} - 2}{x^{2} - x - 2}$
11785	Find the Asymptotes	h(x)=(x^2+25)/(x^2-25)	$h (x) = \frac{x^{2} + 25}{x^{2} - 25}$
11786	Find the Asymptotes	h(x)=(7x^4-8x^2-4)/(6x^5-2x+2)	$h (x) = \frac{7 x^{4} - 8 x^{2} - 4}{6 x^{5} - 2 x + 2}$
11787	Find the Asymptotes	x square root of 1-x^2	$x \sqrt{1 - x^{2}}$
11788	Find the Asymptotes	y=(x^2-x-2)/(x-2)	$y = \frac{x^{2} - x - 2}{x - 2}$
11789	Find the Asymptotes	y=(4+x^4)/(x^2-x^4)	$y = \frac{4 + x^{4}}{x^{2} - x^{4}}$
11790	Find the Asymptotes	y=(1+x^2)/(1-x^2)	$y = \frac{1 + x^{2}}{1 - x^{2}}$
11791	Find the Asymptotes	y=3/(x-4)	$y = \frac{3}{x - 4}$
11792	Find the Asymptotes	y=(3x)/(x^2-4)	$y = \frac{3 x}{x^{2} - 4}$
11793	Find the Asymptotes	y=4/(5+3x)	$y = \frac{4}{5 + 3 x}$
11794	Find the Asymptotes	y=(5x)/(x^2-16)	$y = \frac{5 x}{x^{2} - 16}$
11795	Find the Asymptotes	y=(2x^3)/(x^3-1)	$y = \frac{2 x^{3}}{x^{3} - 1}$
11796	Find the Asymptotes	y=(2+x)/(1-x)	$y = \frac{2 + x}{1 - x}$
11797	Find the Asymptotes	y=(2x)/(x^2-4)	$y = \frac{2 x}{x^{2} - 4}$
11798	Find the Asymptotes	y=(2x)/(x^2-9)	$y = \frac{2 x}{x^{2} - 9}$
11799	Find the Asymptotes	y=(3-2x)/(4x+20)	$y = \frac{3 - 2 x}{4 x + 20}$
11800	Find the Asymptotes	y=(6x-6)/(x+2)	$y = \frac{6 x - 6}{x + 2}$