Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
56001	Find the Antiderivative	f(p)=3(p^2-5)^2(2p)	$f (p) = 3 {(p^{2} - 5)}^{2} (2 p)$
56002	Find the Antiderivative	f(t)=3t^3+17	$f (t) = 3 t^{3} + 17$
56003	Find the Antiderivative	f(x)=(x/12)^15	$f (x) = {(\frac{x}{12})}^{15}$
56004	Find the Antiderivative	f(x)=1+e^x+1/x	$f (x) = 1 + e^{x} + \frac{1}{x}$
56005	Find the Antiderivative	f(x)=3sin(x)	$f (x) = 3 \sin (x)$
56006	Find the Antiderivative	f(x)=6x+sin(x)	$f (x) = 6 x + \sin (x)$
56007	Find the Antiderivative	f(x)=7sin(x)	$f (x) = 7 \sin (x)$
56008	Find the Antiderivative	f(x)=8x^(3/5)+5x^(-4/5)	$f (x) = 8 x^{\frac{3}{5}} + 5 x^{- \frac{4}{5}}$
56009	Find the Antiderivative	f(x)=sin(9x)	$f (x) = \sin (9 x)$
56010	Find the Antiderivative	g(u)=2u+ fourth root of u	$g (u) = 2 u + \sqrt[4]{u}$
56011	Find the Antiderivative	g(x)=1/(2 square root of x)+(x^2)/4+C	$g (x) = \frac{1}{2 \sqrt{x}} + \frac{x^{2}}{4} + C$
56012	Find the Antiderivative	p(t)=9.2t^2-2/t	$p (t) = 9.2 t^{2} - \frac{2}{t}$
56013	Solve over the Interval	tan(theta)=-(2 square root of 3)/3sin(theta) , 0<=theta<2pi	$\tan (θ) = - \frac{2 \sqrt{3}}{3} \sin (θ)$ , $0 \leq θ < 2 π$
56014	Solve over the Interval	x^4+x-3=0 , (1,2)	$x^{4} + x - 3 = 0$ , $(1, 2)$
56015	Solve over the Interval	cos( square root of x)=e^x-2 , (0,1)	$\cos (\sqrt{x}) = e^{x} - 2$ , $(0, 1)$
56016	Find the Axis of Symmetry	f(x)=x^2+0x-25	$f (x) = x^{2} + 0 x - 25$
56017	Find the Axis of Symmetry	f(x)=x^2+8x	$f (x) = x^{2} + 8 x$
56018	Determine if Continuous	f(x)=(x^2+1)/(x-1)	$f (x) = \frac{x^{2} + 1}{x - 1}$
56019	Determine if Continuous	f(x)=(5+x)/(x-2)	$f (x) = \frac{5 + x}{x - 2}$
56020	Determine if Continuous	f(x)=8/(x^2-2x-35)	$f (x) = \frac{8}{x^{2} - 2 x - 35}$
56021	Determine if Continuous	f(x)=(x^2-1)/(x^2-6x+5)	$f (x) = \frac{x^{2} - 1}{x^{2} - 6 x + 5}$
56022	Determine if Continuous	f(x)=( square root of x^2-25)/( natural log of x+9)	$f (x) = \frac{\sqrt{x^{2} - 25}}{\ln (x + 9)}$
56023	Determine if Continuous	f(x)=x/(x^2+x+8)	$f (x) = \frac{x}{x^{2} + x + 8}$
56024	Determine if Continuous	f(x)=(x^2-7x+12)/(x^2-16)	$f (x) = \frac{x^{2} - 7 x + 12}{x^{2} - 16}$
56025	Solve over the Interval	y=(3+csc(x))/(7-csc(x)) , (pi/6,1)	$y = \frac{3 + \csc (x)}{7 - \csc (x)}$ , $(\frac{π}{6}, 1)$
56026	Find the Axis of Symmetry	(x+4)^2-2	${(x + 4)}^{2} - 2$
56027	Find the Center	81x^2+36y^2+972x-648y+2916=0	$81 x^{2} + 36 y^{2} + 972 x - 648 y + 2916 = 0$
56028	Determine if Continuous	f(x)=(x^2-x-2)/(x+1)	$f (x) = \frac{x^{2} - x - 2}{x + 1}$
56029	Determine if Continuous	f(x)=(x-5)/(x^2-9x+20)	$f (x) = \frac{x - 5}{x^{2} - 9 x + 20}$
56030	Determine if Continuous	f(x)=(x^2-7x+12)/(x^2-9)	$f (x) = \frac{x^{2} - 7 x + 12}{x^{2} - 9}$
56031	Determine if Continuous	f(x)=(x-7)/((x-1)(x+5))	$f (x) = \frac{x - 7}{(x - 1) (x + 5)}$
56032	Determine if Continuous	f(x)=(x^3-8)/(x-2)	$f (x) = \frac{x^{3} - 8}{x - 2}$
56033	Determine if Continuous	f(x)=(x^2-5x+4)/(x^2-16)	$f (x) = \frac{x^{2} - 5 x + 4}{x^{2} - 16}$
56034	Determine if Continuous	f(x)=x/(x^2+x+5)	$f (x) = \frac{x}{x^{2} + x + 5}$
56035	Determine if Continuous	f(x)=(2x+1)/(x^2+x-2)	$f (x) = \frac{2 x + 1}{x^{2} + x - 2}$
56036	Find the Center	(x^2)/81+(y^2)/225=1	$\frac{x^{2}}{81} + \frac{y^{2}}{225} = 1$
56037	Find the Center	(x^2)/400+(y^2)/256=1	$\frac{x^{2}}{400} + \frac{y^{2}}{256} = 1$
56038	Find the Center	3x^2+3y^2-6x+2y-14=0	$3 x^{2} + 3 y^{2} - 6 x + 2 y - 14 = 0$
56039	Find the Center	x^2+6x+9x^2-36y+9=0	$x^{2} + 6 x + 9 x^{2} - 36 y + 9 = 0$
56040	Find the End Behavior	F(x)=9x^3+7x^2+8x+2	$F (x) = 9 x^{3} + 7 x^{2} + 8 x + 2$
56041	Determine if Continuous	f(x)=8/(x-8)-9x	$f (x) = \frac{8}{x - 8} - 9 x$
56042	Determine if Continuous	f(x)=8csc(x^2)	$f (x) = 8 \csc (x^{2})$
56043	Determine if Continuous	M(x)=(x-1)/(9x^2-16)	$M (x) = \frac{x - 1}{9 x^{2} - 16}$
56044	Determine if Continuous	f(x)=(x-9)/(x^2-81)	$f (x) = \frac{x - 9}{x^{2} - 81}$
56045	Determine if Continuous	f(x)=exp(- square root of x-1)	$f (x) = e x p (- \sqrt{x - 1})$
56046	Determine if Continuous	f(x)=(x^2-5x+4)/(x^2-1)	$f (x) = \frac{x^{2} - 5 x + 4}{x^{2} - 1}$
56047	Determine if Continuous	f(x)=(x^2-8x+15)/(x^2-9)	$f (x) = \frac{x^{2} - 8 x + 15}{x^{2} - 9}$
56048	Determine if Continuous	f(x) = square root of 7x+21	$f (x) = \sqrt{7 x + 21}$
56049	Determine if Continuous	f(x) = square root of 4x^2-32	$f (x) = \sqrt{4 x^{2} - 32}$
56050	Find the Axis of Symmetry	f(x)=(x-5)^2-9	$f (x) = {(x - 5)}^{2} - 9$
56051	Find the Axis of Symmetry	f(x)=x^2-18x+80	$f (x) = x^{2} - 18 x + 80$
56052	Find the Axis of Symmetry	x^2+6x+3	$x^{2} + 6 x + 3$
56053	Find the Axis of Symmetry	f(x)=x^2-2x-15	$f (x) = x^{2} - 2 x - 15$
56054	Find the Axis of Symmetry	f(x)=2x^2+10x+12	$f (x) = 2 x^{2} + 10 x + 12$
56055	Find the Axis of Symmetry	f(x)=4x^2-18x-10	$f (x) = 4 x^{2} - 18 x - 10$
56056	Solve over the Interval	sin(2x)-sin(x)=0 , [0,2pi)	$\sin (2 x) - \sin (x) = 0$ , $[0, 2 π)$
56057	Solve over the Interval	cot(x)(tan(x)+( square root of 3)/3)=0 , [0,2pi)	$\cot (x (\tan (x) + \frac{\sqrt{3}}{3})) = 0$ , $[0, 2 π)$
56058	Solve over the Interval	sin(2x)=-1/2 , [0,pi]	$\sin (2 x) = - \frac{1}{2}$ , $[0, π]$
56059	Solve over the Interval	sin(x)+2sin(x)cos(x)=0 , [0,2pi)	$\sin (x) + 2 \sin (x) \cos (x) = 0$ , $[0, 2 π)$
56060	Solve over the Interval	tan(x/3)=( square root of 3)/3 , [0,2pi)	$\tan (\frac{x}{3}) = \frac{\sqrt{3}}{3}$ , $[0, 2 π)$
56061	Solve over the Interval	(2cos(theta)+1)(2sin(theta)+ square root of 3)=0 , [0,2pi)	$(2 \cos (θ) + 1) (2 \sin (θ) + \sqrt{3}) = 0$ , $[0, 2 π)$
56062	Solve over the Interval	2cos(x)=sin(2x)=0 , [0,2pi]	$2 \cos (x) = \sin (2 x) = 0$ , $[0, 2 π]$
56063	Solve over the Interval	-tan(x)-sec(x)=1 , [0,2pi)	$- \tan (x) - \sec (x) = 1$ , $[0, 2 π)$
56064	Solve over the Interval	e^x=3-2x , (0,1)	$e^{x} = 3 - 2 x$ , $(0, 1)$
56065	Solve over the Interval	csc(theta)=13/5 , (0,pi/2)	$\csc (θ) = \frac{13}{5}$ , $(0, \frac{π}{2})$
56066	Find the Asymptotes	4/(2x^2-11x+5)	$\frac{4}{2 x^{2} - 11 x + 5}$
56067	Find the Asymptotes	(8e^x)/(e^x-7)	$\frac{8 e^{x}}{e^{x} - 7}$
56068	Find the Asymptotes	(x+3)/(x(x-9))	$\frac{x + 3}{x (x - 9)}$
56069	Find the Asymptotes	(2x^2+6x-5)/(7x^2+3)	$\frac{(2 x^{2} + 6 x - 5)}{7 x^{2} + 3}$
56070	Find the Asymptotes	(x^2)/(x^2-36)	$\frac{x^{2}}{x^{2} - 36}$
56071	Find the Asymptotes	(x^3)/(x^2-25)	$\frac{x^{3}}{x^{2} - 25}$
56072	Find the Asymptotes	(3x-6)/(x^2-x-2)	$\frac{3 x - 6}{x^{2} - x - 2}$
56073	Find the Asymptotes	(2x-2)/(x+2)	$\frac{(2 x - 2)}{x + 2}$
56074	Find the Asymptotes	(2x)/( square root of 4x^2-1)	$\frac{2 x}{\sqrt{4 x^{2} - 1}}$
56075	Find the Asymptotes	(t-9)/(t^2+81)	$\frac{t - 9}{t^{2} + 81}$
56076	Find the Asymptotes	( square root of x)/(x-8 square root of x+16)	$\frac{\sqrt{x}}{x - 8 \sqrt{x} + 16}$
56077	Find the Asymptotes	e^x-6	$e^{x} - 6$
56078	Find the Asymptotes	(9x^2-4)/(3x^2+4x+1)	$\frac{9 x^{2} - 4}{3 x^{2} + 4 x + 1}$
56079	Find the Asymptotes	(3x+9)/(x^2-2x-3)	$\frac{3 x + 9}{x^{2} - 2 x - 3}$
56080	Find the Asymptotes	(4x-3)/x	$\frac{4 x - 3}{x}$
56081	Find the Asymptotes	(x-7)/(49x-x^3)	$\frac{x - 7}{49 x - x^{3}}$
56082	Find the Asymptotes	(4x^4+12x^3-72x^2)/(x^4-45x^2+324)	$\frac{4 x^{4} + 12 x^{3} - 72 x^{2}}{x^{4} - 45 x^{2} + 324}$
56083	Find the Asymptotes	f(x)(x^2-8)/(2x^2-18)	$f (x) \frac{x^{2} - 8}{2 x^{2} - 18}$
56084	Find the Asymptotes	(x^2-x-2)/(x^3-2x^2-5x+6)	$\frac{(x^{2} - x - 2)}{(x^{3} - 2 x^{2} - 5 x + 6)}$
56085	Find the Asymptotes	(3x-8)/(x-7)	$\frac{3 x - 8}{x - 7}$
56086	Find the Asymptotes	(5x^2)/(x^2+2)	$\frac{5 x^{2}}{x^{2} + 2}$
56087	Find the Asymptotes	(x^2-64)/(x^4-81)	$\frac{x^{2} - 64}{x^{4} - 81}$
56088	Find the Asymptotes	(5x)/(1-x)	$\frac{5 x}{1 - x}$
56089	Find the Asymptotes	(x-3)/(x^2+x-12)	$\frac{x - 3}{x^{2} + x - 12}$
56090	Find the Asymptotes	8-4/x	$8 - \frac{4}{x}$
56091	Find the Asymptotes	1/(x^2-2x)	$\frac{1}{x^{2} - 2 x}$
56092	Find the Asymptotes	(x^2-x+5)/(3x-1)	$\frac{x^{2} - x + 5}{3 x - 1}$
56093	Find the Asymptotes	(x^2-x-6)/(x^2-6x+8)	$\frac{x^{2} - x - 6}{x^{2} - 6 x + 8}$
56094	Find the Asymptotes	(x^2-1)/x	$\frac{(x^{2} - 1)}{x}$
56095	Find the Asymptotes	(5x-8)/(x-6)	$\frac{5 x - 8}{x - 6}$
56096	Find the Asymptotes	(x+1)/(x^2-3x-4)	$\frac{x + 1}{x^{2} - 3 x - 4}$
56097	Find the Asymptotes	(8x)/(x+2)	$\frac{8 x}{x + 2}$
56098	Find the Asymptotes	e^x-5	$e^{x} - 5$
56099	Find the Asymptotes	(2x^4+6x^3-36x^2)/(x^4-45x^2+324)	$\frac{2 x^{4} + 6 x^{3} - 36 x^{2}}{x^{4} - 45 x^{2} + 324}$
56100	Find the Asymptotes	(x^2-x-12)/(x^2-9)	$\frac{x^{2} - x - 12}{x^{2} - 9}$