Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
45001	Write in Standard Form	x^2-y^2-6x-10y-17=0	$x^{2} - y^{2} - 6 x - 10 y - 17 = 0$
45002	Write in Standard Form	y=12x^2+48x+151	$y = 12 x^{2} + 48 x + 151$
45003	Write in Standard Form	y^2+12x-6y+21=0	$y^{2} + 12 x - 6 y + 21 = 0$
45004	Write in Standard Form	y^2-2x-10y+23=0	$y^{2} - 2 x - 10 y + 23 = 0$
45005	Write in Standard Form	y^2-6y-4x+5=0	$y^{2} - 6 y - 4 x + 5 = 0$
45006	Write in Standard Form	y^2-8y+8x+16=0	$y^{2} - 8 y + 8 x + 16 = 0$
45007	Find All Complex Solutions	cos(x)=-sin(x)^2-1	$\cos (x) = - \sin^{2} (x) - 1$
45008	Find All Complex Solutions	sec(theta)=2	$\sec (θ) = 2$
45009	Find the Asymptotes	y=4tan(x-pi/2)	$y = 4 \tan (x - \frac{π}{2})$
45010	Solve for z	z^5=-243i	$z^{5} = - 243 i$
45011	Solve for z	square root of 3z+4=5	$\sqrt{3 z + 4} = 5$
45012	Solve for z	log of z=3	$\log (z) = 3$
45013	Solve for z	(z^2+8z)^2+23(z^2+8z)+112=0	${(z^{2} + 8 z)}^{2} + 23 (z^{2} + 8 z) + 112 = 0$
45014	Solve for y	y=arccot( square root of 3)	$y = arccot (\sqrt{3})$
45015	Solve for y	y=3^4	$y = 3^{4}$
45016	Solve for y	y=f(3)	$y = f (3)$
45017	Solve for y	(y^2)/(y+5)=25/(y+5)	$\frac{y^{2}}{y + 5} = \frac{25}{y + 5}$
45018	Solve for y	square root of 169-y-y=13	$\sqrt{169 - y} - y = 13$
45019	Solve for y	12y-14>2(5y-10)	$12 y - 14 > 2 (5 y - 10)$
45020	Solve for y	5y(3-y)(4y+1)^2=0	$5 y (3 - y) {(4 y + 1)}^{2} = 0$
45021	Solve for y	e^(y+4)=4	$e^{y + 4} = 4$
45022	Solve for y	e^(y-8)=12	$e^{y - 8} = 12$
45023	Solve for y	y=arccos(0.8480)	$y = \arccos (0.848)$
45024	Solve for y	x+3y=3	$x + 3 y = 3$
45025	Solve for n	2^(-3n)=2^(2n+1)	$2^{- 3 n} = 2^{2 n + 1}$
45026	Solve for n	a_n=10n+9	$a_{n} = 10 n + 9$
45027	Solve for m	5/6=(2m)/(2m+2)-1/(3m-3)	$\frac{5}{6} = \frac{2 m}{2 m + 2} - \frac{1}{3 m - 3}$
45028	Solve for n	n/(n-3)+n=(7n-18)/(n-3)	$\frac{n}{n - 3} + n = \frac{7 n - 18}{n - 3}$
45029	Solve for h	4-5 natural log of 2h-1=7	$4 - 5 \ln (2 h - 1) = 7$
45030	Solve for k	natural log of 0.7 = natural log of e^(-3k)	$\ln (0.7) = \ln (e^{- 3 k})$
45031	Solve for p	4p=-68	$4 p = - 68$
45032	Solve for p	4p^4-324=0	$4 p^{4} - 324 = 0$
45033	Solve for p	x^2=4py	$x^{2} = 4 p y$
45034	Solve for p	p(0)=2500(1.022)^0	$p (0) = 2500 {(1.022)}^{0}$
45035	Solve for r	6908733=3159/(r^5)r^12	$6908733 = \frac{3159}{r^{5}} r^{12}$
45036	Solve for S	S(9)=4000(2^(-0.6(9)))	$S (9) = 4000 (2^{- 0.6 (9)})$
45037	Solve for r	r^2-6r+8=0	$r^{2} - 6 r + 8 = 0$
45038	Solve for r	rcos(theta)^2=sin(theta)	$r \cos^{2} (θ) = \sin (θ)$
45039	Solve for r	r^2=9sin(2theta)	$r^{2} = 9 \sin (2 θ)$
45040	Solve for r	r=3+2sin(theta)	$r = 3 + 2 \sin (θ)$
45041	Solve for v	log base 9 of 3v^2-7v = log base 9 of 8+2v^2	$\log_{9} (3 v^{2} - 7 v) = \log_{9} (8 + 2 v^{2})$
45042	Solve for v	v=12i-15j	$v = 12 i - 15 j$
45043	Solve for t	x=4cos(t)	$x = 4 \cos (t)$
45044	Solve for t	0=65-10t-5t^2	$0 = 65 - 10 t - 5 t^{2}$
45045	Solve for t	25.9=19.6e^(0.0138t)	$25.9 = 19.6 e^{0.0138 t}$
45046	Solve for t	1000(1.005)^(12t)>=3000	$1000 {(1.005)}^{12 t} \geq 3000$
45047	Solve for t	1500=1000*e^(0.03t)	$1500 = 1000 \cdot e^{0.03 t}$
45048	Solve for b	b=((tan(77 degrees ))(1.6))/(1+(tan(77 degrees ))/(tan(65 degrees )))	$b = \frac{(\tan (77 °)) (1.6)}{(1 + \frac{\tan (77 °)}{\tan (65 °)})}$
45049	Solve for b	\|48+bi\|=50	$\| 48 + b i \| = 50$
45050	Solve for a	(a^3)^-1=1/216	${(a^{3})}^{- 1} = \frac{1}{216}$
45051	Solve for a	7+423^(2-3a)=143^(-2a)+7	$7 + 42 \cdot 3^{2 - 3 a} = 14 \cdot 3^{- 2 a} + 7$
45052	Solve for A	cos(A)=0.42	$\cos (A) = 0.42$
45053	Solve for A	A(3)=8	$A (3) = 8$
45054	Solve for a	log base 3 of a-2+ log base 3 of a-2=2	$\log_{3} (a - 2) + \log_{3} (a - 2) = 2$
45055	Find the Asymptotes	(2x+1)/(x+1)	$\frac{2 x + 1}{x + 1}$
45056	Find the Asymptotes	(5x)/(x^3+5x^2+6x)	$\frac{5 x}{x^{3} + 5 x^{2} + 6 x}$
45057	Find the Asymptotes	(x(x^4+9))/(3x^2-13x-10)	$\frac{x (x^{4} + 9)}{3 x^{2} - 13 x - 10}$
45058	Find the Asymptotes	(x^2)/(x^2+8x+16)	$\frac{x^{2}}{x^{2} + 8 x + 16}$
45059	Convert to Logarithmic Form	y^-7=x	$y^{- 7} = x$
45060	Find the Vertex Form	y=x^2+10x+40	$y = x^{2} + 10 x + 40$
45061	Find the Vertex Form	x^2+4y^2+6x-8y+9=0	$x^{2} + 4 y^{2} + 6 x - 8 y + 9 = 0$
45062	Convert to Logarithmic Form	5=6^x	$5 = 6^{x}$
45063	Convert to Logarithmic Form	50^-2=0.0004	$50^{- 2} = 0.0004$
45064	Convert to Logarithmic Form	27 1/3=3	$27 \frac{1}{3} = 3$
45065	Convert to Logarithmic Form	7^x=9	$7^{x} = 9$
45066	Convert to Logarithmic Form	e^-2=0.135	$e^{- 2} = 0.135$
45067	Convert to Logarithmic Form	e^2.079=8	$e^{2.079} = 8$
45068	Convert to Logarithmic Form	e^2.197=9	$e^{2.197} = 9$
45069	Find the Asymptotes	(x+1)/(6x^2-7x-3)	$\frac{x + 1}{6 x^{2} - 7 x - 3}$
45070	Find the Asymptotes	(x^3-8)/(x^2-6x+8)	$\frac{x^{3} - 8}{x^{2} - 6 x + 8}$
45071	Find the Asymptotes	(x^2-5x+4)/(4x+4)	$\frac{x^{2} - 5 x + 4}{4 x + 4}$
45072	Find the Asymptotes	e^x+6	$e^{x} + 6$
45073	Convert to Logarithmic Form	1=9^0	$1 = 9^{0}$
45074	Convert to Logarithmic Form	0.007=e^-5	$0.007 = e^{- 5}$
45075	Convert to Logarithmic Form	0.368=e^-1	$0.368 = e^{- 1}$
45076	Find the Difference Quotient	f(x)=x^2-6x+5	$f (x) = x^{2} - 6 x + 5$
45077	Find the Difference Quotient	f(x)=x^2-6x+7	$f (x) = x^{2} - 6 x + 7$
45078	Find the Difference Quotient	f(x)=5+6x-x^2	$f (x) = 5 + 6 x - x^{2}$
45079	Find the Difference Quotient	f(x)=x^2-8x+4	$f (x) = x^{2} - 8 x + 4$
45080	Find the Difference Quotient	f(x)=x^2-2x+1	$f (x) = x^{2} - 2 x + 1$
45081	Find the Difference Quotient	f(x)=3x-x^2	$f (x) = 3 x - x^{2}$
45082	Expand Using the Binomial Theorem	(4p+2)^4	${(4 p + 2)}^{4}$
45083	Expand Using the Binomial Theorem	(3x+ square root of 2)^8	${(3 x + \sqrt{2})}^{8}$
45084	Expand Using the Binomial Theorem	(3x+ square root of 3)^6	${(3 x + \sqrt{3})}^{6}$
45085	Expand Using the Binomial Theorem	(3x-1)^6	${(3 x - 1)}^{6}$
45086	Expand Using the Binomial Theorem	(3x-2y)^12	${(3 x - 2 y)}^{12}$
45087	Expand Using the Binomial Theorem	(x^2+2y)^10	${(x^{2} + 2 y)}^{10}$
45088	Expand Using the Binomial Theorem	(x^2-2y)^7	${(x^{2} - 2 y)}^{7}$
45089	Expand Using the Binomial Theorem	(r-s)^4	${(r - s)}^{4}$
45090	Expand Using the Binomial Theorem	(7x+2y)^15	${(7 x + 2 y)}^{15}$
45091	Expand Using the Binomial Theorem	(q-r)^5	${(q - r)}^{5}$
45092	Expand Using the Binomial Theorem	(y^3-1)^20	${(y^{3} - 1)}^{20}$
45093	Expand Using the Binomial Theorem	(y^2+2)^6	${(y^{2} + 2)}^{6}$
45094	Expand Using the Binomial Theorem	(z^2+y)^12	${(z^{2} + y)}^{12}$
45095	Expand Using the Binomial Theorem	(x-5y)^6	${(x - 5 y)}^{6}$
45096	Expand Using the Binomial Theorem	(x-6y)^5	${(x - 6 y)}^{5}$
45097	Expand Using the Binomial Theorem	(x+6)^7	${(x + 6)}^{7}$
45098	Expand Using the Binomial Theorem	(x+y^2)^3	${(x + y^{2})}^{3}$
45099	Convert Degrees, Minutes, Seconds to Decimal Degrees	54 degrees 12'	$54 ° 12'$
45100	Convert Degrees, Minutes, Seconds to Decimal Degrees	-36 degrees 30'33''	$- 36 ° 30' 33''$