Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
61401	Find the Derivative - d/dp	-0.5p^2+34.5p	$- 0.5 p^{2} + 34.5 p$
61402	Find the Derivative - d/dp	1000e^(-0.01p)	$1000 e^{- 0.01 p}$
61403	Find the Derivative - d/ds	-0.1s^3+6s^2+400	$- 0.1 s^{3} + 6 s^{2} + 400$
61404	Find the Derivative - d/ds	-12/(s^4)	$- \frac{12}{s^{4}}$
61405	Find the Derivative - d/ds	s=36(cos(theta)sin(theta)+cos(theta)^2)	$s = 36 (\cos (θ) \sin (θ) + \cos^{2} (θ))$
61406	Find the Derivative - d/du	y=(e^(2u)-e^(-2u))/(e^(2u)+e^(-2u))	$y = \frac{e^{2 u} - e^{- 2 u}}{e^{2 u} + e^{- 2 u}}$
61407	Find the Derivative - d/dw	sin(arccos(4w))	$\sin (\arccos (4 w))$
61408	Find f(g(x))	f(x)=8x+2x^2-x^3 , g(x)=0	$f (x) = 8 x + 2 x^{2} - x^{3}$ , $g (x) = 0$
61409	Find the Derivative - d/dz	(2z+e^(-z^2))^3	${(2 z + e^{- z^{2}})}^{3}$
61410	Solve for t	-32t=0	$- 32 t = 0$
61411	Solve for t	-4.9t^2+14t+700=0	$- 4.9 t^{2} + 14 t + 700 = 0$
61412	Solve for t	-2t+5=0	$- 2 t + 5 = 0$
61413	Solve for t	2=e^(0.04t)	$2 = e^{0.04 t}$
61414	Solve for t	3(t)=6/(t^2-49)	$3 (t) = \frac{6}{t^{2} - 49}$
61415	Solve for t	log base t of 64=3	$\log_{t} (64) = 3$
61416	Solve for R	R=31(100)-0.01(100)^2	$R = 31 (100) - 0.01 {(100)}^{2}$
61417	Solve for r	r^2=9	$r^{2} = 9$
61418	Solve for s	2s-3456/(s^2)=0	$2 s - \frac{3456}{s^{2}} = 0$
61419	Solve for s	16s^-0.75-1=0	$16 s^{- 0.75} - 1 = 0$
61420	Solve for s	(ds)/(dt)=20t(5t^2-3)^3	$\frac{d s}{d t} = 20 t {(5 t^{2} - 3)}^{3}$
61421	Solve for p	2^(-3p)*2^(-2p)=8	$2^{- 3 p} \cdot 2^{- 2 p} = 8$
61422	Solve for p	9p^2-12p-2=0	$9 p^{2} - 12 p - 2 = 0$
61423	Solve for q	6=10-2q^(1/3)	$6 = 10 - 2 q^{\frac{1}{3}}$
61424	Solve for r	-12000/(r^2)+(16pir)/3=0	$- \frac{12000}{r^{2}} + \frac{16 π r}{3} = 0$
61425	Solve for R	(dR)/(dt)=3.17-6.671/t	$\frac{d R}{d t} = 3.17 - \frac{6.671}{t}$
61426	Solve for q	1/2q^2-2q+6=-1/2q^2+2q+18	$\frac{1}{2} q^{2} - 2 q + 6 = - \frac{1}{2} q^{2} + 2 q + 18$
61427	Solve for r	5(6+3r)+7>=127	$5 (6 + 3 r) + 7 \geq 127$
61428	Solve for r	6=2pir	$6 = 2 π r$
61429	Solve for R	R(52)=18(52)-1/4(52)^2	$R (52) = 18 (52) - \frac{1}{4} {(52)}^{2}$
61430	Solve for k	1/8 sum from k=1 to 40 of square root of (k-1)/8	$\frac{1}{8} \sum_{k = 1}^{40} \sqrt{\frac{k - 1}{8}}$
61431	Solve for k	sum from k=1 to infinity of (1/2)^k	$\sum_{k = 1}^{\infty} {(\frac{1}{2})}^{k}$
61432	Solve for H	V=1/3AH	$V = \frac{1}{3} A H$
61433	Solve for d	2(10)+200(0.8)(dq)/(dp)=0	$2 (10) + 200 (0.8) \frac{d q}{d p} = 0$
61434	Solve for d	d6=45e^(-0.456)	$d \cdot 6 = 45 e^{- 0.45 \cdot 6}$
61435	Solve for C	3/2(2)^2-6*2+C=3	$\frac{3}{2} {(2)}^{2} - 6 \cdot 2 + C = 3$
61436	Solve for c	2=3000/(3(150)+50)+c	$2 = \frac{3000}{3 (150) + 50} + c$
61437	Solve for c	2=64/9+c	$2 = \frac{64}{9} + c$
61438	Solve for n	sum from k=1 to n of k/(n^2)	$\sum_{k = 1}^{n} \frac{k}{n^{2}}$
61439	Solve for n	20/28=n/21	$\frac{20}{28} = \frac{n}{21}$
61440	Solve for m	(m+2)(3m+10)=3(m+5)+15	$(m + 2) (3 m + 10) = 3 (m + 5) + 15$
61441	Solve for m	(m-1)(3m+7)=3(m+5)-12	$(m - 1) (3 m + 7) = 3 (m + 5) - 12$
61442	Solve for k	k^2(2k+3)+6(k+1)^2-1=(k+1)^2(2k+5)	$k^{2} (2 k + 3) + 6 {(k + 1)}^{2} - 1 = {(k + 1)}^{2} (2 k + 5)$
61443	Solve for L	L+x=7L	$L + x = 7 L$
61444	Solve for k	2k^2+9k=-7	$2 k^{2} + 9 k = - 7$
61445	Solve for k	32=( natural log of 2)/k	$32 = \frac{\ln (2)}{k}$
61446	Solve for y	(dy)/(dx)=5x-7	$\frac{d y}{d x} = 5 x - 7$
61447	Solve for y	(dy)/(dx)=13xy	$\frac{d y}{d x} = 13 x y$
61448	Solve for y	(dy)/(dx)=8x^-9	$\frac{d y}{d x} = 8 x^{- 9}$
61449	Solve for y	2y=0	$2 y = 0$
61450	Solve for y	3-768/(y^2)=0	$3 - \frac{768}{y^{2}} = 0$
61451	Solve for y	2y-4=0	$2 y - 4 = 0$
61452	Solve for y	2y-4=14	$2 y - 4 = 14$
61453	Solve for y	3-192/(y^2)=0	$3 - \frac{192}{y^{2}} = 0$
61454	Solve for y	3-432/(y^2)=0	$3 - \frac{432}{y^{2}} = 0$
61455	Solve for y	23y+50+27y=50y+50	$23 y + 50 + 27 y = 50 y + 50$
61456	Solve for y	square root of y=y^2	$\sqrt{y} = y^{2}$
61457	Solve for y	5y^4(dy)/(dx)=12x	$5 y^{4} \frac{d y}{d x} = 12 x$
61458	Solve for y	6(2+y)=3(3-y)	$6 (2 + y) = 3 (3 - y)$
61459	Solve for y	5.7-0.9y+6.6=0	$5.7 - 0.9 y + 6.6 = 0$
61460	Solve for y	5x+4y=40	$5 x + 4 y = 40$
61461	Solve for y	9x^2+4y^2=36	$9 x^{2} + 4 y^{2} = 36$
61462	Solve for y	3y^2(dy)/(dx)=8x	$3 y^{2} \frac{d y}{d x} = 8 x$
61463	Solve for y	3y^2-6y-9=0	$3 y^{2} - 6 y - 9 = 0$
61464	Solve for y	3+2y = square root of -y	$3 + 2 y = \sqrt{- y}$
61465	Solve for y	4(2y-3)-10y+22=0	$4 (2 y - 3) - 10 y + 22 = 0$
61466	Solve for t	y=e^(2t)	$y = e^{2 t}$
61467	Solve for w	2/5w-1=7/5w	$\frac{2}{5} w - 1 = \frac{7}{5} w$
61468	Solve for t	log base t of 256=4	$\log_{t} (256) = 4$
61469	Solve for t	x=2t-1	$x = 2 t - 1$
61470	Solve for t	6-1/t-5/(t^2)=0	$6 - \frac{1}{t} - \frac{5}{t^{2}} = 0$
61471	Solve for t	8 square root of t=15	$8 \sqrt{t} = 15$
61472	Find the Asymptotes	(x^2)/49-(y^2)/16=1	$\frac{x^{2}}{49} - \frac{y^{2}}{16} = 1$
61473	Find the Asymptotes	y=(5x)/(x^2-1)	$y = \frac{5 x}{x^{2} - 1}$
61474	Find the Asymptotes	(y^2)/36-(x^2)/4=1	$\frac{y^{2}}{36} - \frac{x^{2}}{4} = 1$
61475	Solve for y	y+2 natural log of y=0	$y + 2 \ln (y) = 0$
61476	Solve for y	y=8/(cos(1/( square root of 2)))-5/(sin(1/( square root of 2)))	$y = \frac{8}{\cos (\frac{1}{\sqrt{2}})} - \frac{5}{\sin (\frac{1}{\sqrt{2}})}$
61477	Find the Asymptotes	y=x square root of 4-x^2	$y = x \sqrt{4 - x^{2}}$
61478	Solve for b	log base b of 343=3	$\log_{b} (343) = 3$
61479	Solve for b	log base 9 of 9b=2	$\log_{9} (9 b) = 2$
61480	Solve for a	w=7a+4b	$w = 7 a + 4 b$
61481	Solve for a	a(a+2)=0	$a (a + 2) = 0$
61482	Solve for a	4a^4-37a^2+9=0	$4 a^{4} - 37 a^{2} + 9 = 0$
61483	Solve for A	(dA)/(dt)=2A	$\frac{d A}{d t} = 2 A$
61484	Solve for a	limit as h approaches 0 of (arcsin(a+h)-arcsin(a))/h=2	$lim_{h \to 0} \frac{\arcsin (a + h) - \arcsin (a)}{h} = 2$
61485	Solve for a	(2a-3)/6=(2a)/3+1/2	$\frac{2 a - 3}{6} = \frac{2 a}{3} + \frac{1}{2}$
61486	Find the Asymptotes	(x+3)/(x^2-4)	$\frac{x + 3}{x^{2} - 4}$
61487	Find the Foci	x^2+2y^2-2x-4y=1	$x^{2} + 2 y^{2} - 2 x - 4 y = 1$
61488	Find the Foci	(y^2)/16-(x^2)/4=1	$\frac{y^{2}}{16} - \frac{x^{2}}{4} = 1$
61489	Find the Foci	((x+5)^2)/81-((y-3)^2)/144=1	$\frac{{(x + 5)}^{2}}{81} - \frac{{(y - 3)}^{2}}{144} = 1$
61490	Find Where Undefined/Discontinuous	f(x)=(x^2-9)/(3x-9)	$f (x) = \frac{x^{2} - 9}{3 x - 9}$
61491	Find the Focus	y^2-12y+4x+4=0	$y^{2} - 12 y + 4 x + 4 = 0$
61492	Expand the Trigonometric Expression	(x-9)^2	${(x - 9)}^{2}$
61493	Find the Reference Angle	-(33pi)/8	$- \frac{33 π}{8}$
61494	Find the Reference Angle	-(37pi)/9	$- \frac{37 π}{9}$
61495	Find the Reference Angle	-(51pi)/8	$- \frac{51 π}{8}$
61496	Find the Reference Angle	-395 degrees	$- 395 °$
61497	Find the x and y Intercepts	(x-7)(x^2-14x-98)	$(x - 7) (x^{2} - 14 x - 98)$
61498	Find the Equation of the Circle	r=3cos(theta)	$r = 3 \cos (θ)$
61499	Find the Function	f''(x)=24x^3-18x^2+8x	$f'' (x) = 24 x^{3} - 18 x^{2} + 8 x$
61500	Find the Function	f'(x)=4x-9	$f' (x) = 4 x - 9$