Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
62101	Find the Inverse	f(x)=x^3+3x-1	$f (x) = x^{3} + 3 x - 1$
62102	Find the Foci	(x^2)/25-(y^2)/16=1	$\frac{x^{2}}{25} - \frac{y^{2}}{16} = 1$
62103	Find the Foci	(x^2)/4-(y^2)/60=1	$\frac{x^{2}}{4} - \frac{y^{2}}{60} = 1$
62104	Find the Foci	(y^2)/25-(x^2)/16=1	$\frac{y^{2}}{25} - \frac{x^{2}}{16} = 1$
62105	Find the Foci	9y^2-4x^2=36	$9 y^{2} - 4 x^{2} = 36$
62106	Find the Foci	x^2-y^2-2x-4y-4=0	$x^{2} - y^{2} - 2 x - 4 y - 4 = 0$
62107	Find the Foci	25x^2+64y^2=1600	$25 x^{2} + 64 y^{2} = 1600$
62108	Find the Foci	36x^2+100y^2-216x+400y-2876=0	$36 x^{2} + 100 y^{2} - 216 x + 400 y - 2876 = 0$
62109	Find g(f(x))	f(x)=8x-2x^2-x^3 , g(x)=0	$f (x) = 8 x - 2 x^{2} - x^{3}$ , $g (x) = 0$
62110	Find g(f(x))	f(x)=12x-x^2-x^3 , g(x)=0	$f (x) = 12 x - x^{2} - x^{3}$ , $g (x) = 0$
62111	Find Where Undefined/Discontinuous	y=(x+9)/(x^2-16x+63)	$y = \frac{x + 9}{x^{2} - 16 x + 63}$
62112	Find the Derivative - d/dz	1/(z^2)	$\frac{1}{z^{2}}$
62113	Find the Derivative - d/dz	integral from 1 to square root of x of (z^2)/(z^4+1) with respect to z	$\int_{1}^{\sqrt{x}} \frac{z^{2}}{z^{4} + 1} d z$
62114	Find f(g(x))	f(x)=3x+2x^2-x^3 , g(x)=0	$f (x) = 3 x + 2 x^{2} - x^{3}$ , $g (x) = 0$
62115	Find the Derivative - d/du	u^5	$u^{5}$
62116	Find the Derivative - d/dv	y = integral from 0 to v of square root of 15+16t^2 with respect to t	$y = \int_{0}^{v} \sqrt{15 + 16 t^{2}} d t$
62117	Find the Derivative - d/du	4u-pi	$4 u - π$
62118	Find the Derivative - d/ds	-13/(s^6)	$- \frac{13}{s^{6}}$
62119	Find the Derivative - d/dR	5piR^2	$5 π R^{2}$
62120	Find the Derivative - d/dr	(r^2-4r)e^r	$(r^{2} - 4 r) e^{r}$
62121	Find the Derivative - d/dh	pi/12h^3	$\frac{π}{12} h^{3}$
62122	Find the Derivative - d/dh	(pih^2(3r-h))/3	$\frac{π h^{2} (3 r - h)}{3}$
62123	Find the Derivative - d/dn	x^n	$x^{n}$
62124	Find the Derivative - d/dq	(sec(q)+csc(q))/(csc(q))	$\frac{\sec (q) + \csc (q)}{\csc (q)}$
62125	Find the Derivative - d/dn	(n+1)!	$(n + 1)!$
62126	Find the Asymptotes	(2x)/(x+1)	$\frac{2 x}{x + 1}$
62127	Find the Asymptotes	(60x)/(1+0.625x)	$\frac{60 x}{1 + 0.625 x}$
62128	Find the Asymptotes	(6x)/(x^2-36)	$\frac{6 x}{x^{2} - 36}$
62129	Find the Asymptotes	((x-1)^3)/(x^2)	$\frac{{(x - 1)}^{3}}{x^{2}}$
62130	Find the Asymptotes	((x-4)(2x-3))/((x-1)^2)	$\frac{(x - 4) (2 x - 3)}{{(x - 1)}^{2}}$
62131	Find the Difference Quotient	f(x)=3x^2+1	$f (x) = 3 x^{2} + 1$
62132	Find the Difference Quotient	f(x)=2 square root of x	$f (x) = 2 \sqrt{x}$
62133	Solve for b	2b=211	$2 b = 211$
62134	Solve for B	320^2=128^2+253^2-2128253cos(B)	$320^{2} = 128^{2} + 253^{2} - 2 \cdot 128 \cdot 253 \cos (B)$
62135	Solve for A	P=7/A	$P = \frac{7}{A}$
62136	Solve for B	7/(sin(70 degrees ))=5/(sin(B))	$\frac{7}{\sin (70 °)} = \frac{5}{\sin (B)}$
62137	Solve for a	d=1/2at^2	$d = \frac{1}{2} a t^{2}$
62138	Find the Asymptotes	y=(x+2)/(x^2-8x+7)	$y = \frac{x + 2}{x^{2} - 8 x + 7}$
62139	Find the Asymptotes	y=xe^(-x)	$y = x e^{- x}$
62140	Solve for y	y=2x^2-4x	$y = 2 x^{2} - 4 x$
62141	Solve for z	10 square root of z-1=2 square root of 2z+826	$10 \sqrt{z - 1} = 2 \sqrt{2 z + 826}$
62142	Solve for z	square root of z^2+8=1-2z	$\sqrt{z^{2} + 8} = 1 - 2 z$
62143	Solve for y	y = square root of 5^7+9	$y = \sqrt{5^{7} + 9}$
62144	Solve for y	y^3=64	$y^{3} = 64$
62145	Solve for y	y+6 = square root of 2y^2+72	$y + 6 = \sqrt{2 y^{2} + 72}$
62146	Solve for y	y^2=121	$y^{2} = 121$
62147	Find the Asymptotes	9x^2+25y^2=225	$9 x^{2} + 25 y^{2} = 225$
62148	Solve for z	z^3-8=0	$z^{3} - 8 = 0$
62149	Solve for z	z^4=-1+ square root of 3i	$z^{4} = - 1 + \sqrt{3} i$
62150	Evaluate the Derivative at x=1	y=(6x-5) square root of 8x-3 ; x=1	$y = (6 x - 5) \sqrt{8 x - 3}$ ; $x = 1$
62151	Solve for y	(dy)/(dt)=27t^2	$\frac{d y}{d t} = 27 t^{2}$
62152	Solve for y	(dy)/(dx)=13/x	$\frac{d y}{d x} = \frac{13}{x}$
62153	Solve for y	10/y=x	$\frac{10}{y} = x$
62154	Solve for t	50+90e^(-0.5t)=65	$50 + 90 e^{- 0.5 t} = 65$
62155	Solve for t	e^(-0.3t)=27	$e^{- 0.3 t} = 27$
62156	Solve for t	t^2-45=0	$t^{2} - 45 = 0$
62157	Solve for t	t^2=e^1-1	$t^{2} = e^{1} - 1$
62158	Solve for t	natural log of 2=0.2t	$\ln (2) = 0.2 t$
62159	Solve for t	e^t=621	$e^{t} = 621$
62160	Solve for t	- natural log of 12=-(( natural log of 2)/5.1)t	$- \ln (12) = - (\frac{\ln (2)}{5.1}) t$
62161	Solve for t	e^(3t)=1800	$e^{3 t} = 1800$
62162	Solve for v	v^4=(3.0310^8)/(5.2010^-3)	$v^{4} = \frac{3.03 \cdot 10^{8}}{5.2 \cdot 10^{- 3}}$
62163	Solve for w	square root of w^2+7w-39 = square root of 10w+1	$\sqrt{w^{2} + 7 w - 39} = \sqrt{10 w + 1}$
62164	Solve for u	3(u-4)^2+5=32	$3 {(u - 4)}^{2} + 5 = 32$
62165	Solve for t	y=sin(pi-10t)	$y = \sin (π - 10 t)$
62166	Solve for t	x=t^2-1	$x = t^{2} - 1$
62167	Solve for t	x(t)=e^(-t)+1	$x (t) = e^{- t} + 1$
62168	Solve for y	4x-10y+22=0	$4 x - 10 y + 22 = 0$
62169	Solve for y	4y^3-4y=0	$4 y^{3} - 4 y = 0$
62170	Solve for y	3y^2(dy)/(dx)=4x	$3 y^{2} \frac{d y}{d x} = 4 x$
62171	Solve for y	3y+2=17	$3 y + 2 = 17$
62172	Solve for y	-5y-3=9+y	$- 5 y - 3 = 9 + y$
62173	Solve for y	8x^3-6y=0	$8 x^{3} - 6 y = 0$
62174	Solve for y	6y-9x^2=0	$6 y - 9 x^{2} = 0$
62175	Solve for y	5x-2y=3	$5 x - 2 y = 3$
62176	Solve for y	-65y+19<-2y+41	$- 65 y + 19 < - 2 y + 41$
62177	Solve for y	r^2=x^2+y^2	$r^{2} = x^{2} + y^{2}$
62178	Solve for y	x^2+y^2=5	$x^{2} + y^{2} = 5$
62179	Solve for y	x=4y^2	$x = 4 y^{2}$
62180	Solve for y	x=6 square root of 3y	$x = 6 \sqrt{3 y}$
62181	Solve for y	square root of y=y/2	$\sqrt{y} = \frac{y}{2}$
62182	Solve for y	24^2+y^2=25^2	$24^{2} + y^{2} = 25^{2}$
62183	Solve for y	-18y^2+18=0	$- 18 y^{2} + 18 = 0$
62184	Solve for y	1-y = square root of 2y^2-7	$1 - y = \sqrt{2 y^{2} - 7}$
62185	Solve for y	2y-2=0	$2 y - 2 = 0$
62186	Solve for y	(y+3)^2-81=0	${(y + 3)}^{2} - 81 = 0$
62187	Solve for y	(dy)/(dx)=ky	$\frac{d y}{d x} = k y$
62188	Solve for y	(dy)/(dx)=e^(0.02x)	$\frac{d y}{d x} = e^{0.02 x}$
62189	Solve for y	(dy)/(dx)=e^(0.1x)	$\frac{d y}{d x} = e^{0.1 x}$
62190	Solve for y	(x^2)/4+(y^2)/9=1	$\frac{x^{2}}{4} + \frac{y^{2}}{9} = 1$
62191	Solve for y	(dy)/(dx)=2x-6	$\frac{d y}{d x} = 2 x - 6$
62192	Solve for y	(dy)/(dx)=3xy	$\frac{d y}{d x} = 3 x y$
62193	Solve for y	(dy)/(dx)=(sin(x))/(e^y)	$\frac{d y}{d x} = \frac{\sin (x)}{e^{y}}$
62194	Solve for y	(dy)/(dx)=y/(x^2)	$\frac{d y}{d x} = \frac{y}{x^{2}}$
62195	Solve for y	(dy)/(dx)=11xy	$\frac{d y}{d x} = 11 x y$
62196	Solve for y	(dy)/(dx)=12x^11y	$\frac{d y}{d x} = 12 x^{11} y$
62197	Solve for y	(dy)/(dx)=12xy	$\frac{d y}{d x} = 12 x y$
62198	Solve for y	(dy)/(dx)=13x^12y	$\frac{d y}{d x} = 13 x^{12} y$
62199	Solve for k	sum from n=1 to infinity of ((n!)^2)/((kn)!)	$\sum_{n = 1}^{\infty} \frac{{(n!)}^{2}}{(k n)!}$
62200	Solve for L	L(10^-11.7)=10 log of (10^-11.7)/(10^-12)	$L (10^{- 11.7}) = 10 \log (\frac{10^{- 11.7}}{10^{- 12}})$