Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
50101	Find Amplitude, Period, and Phase Shift	5sin(pix)	$5 \sin (π x)$
50102	Find the Quadrant	(5,-30 degrees )	$(5, - 30 °)$
50103	Find the Vertices	((x-3)^2)/25+((y+4)^2)/9=1	$\frac{{(x - 3)}^{2}}{25} + \frac{{(y + 4)}^{2}}{9} = 1$
50104	Find the Vertices	(y^2)/16-(x^2)/81=1	$\frac{y^{2}}{16} - \frac{x^{2}}{81} = 1$
50105	Find the Vertices	11x^2-25y^2+22x+250y-889=0	$11 x^{2} - 25 y^{2} + 22 x + 250 y - 889 = 0$
50106	Find the Vertices	(y^2)/6-(x^2)/12=1	$\frac{y^{2}}{6} - \frac{x^{2}}{12} = 1$
50107	Find the Vertices	36y^2-9x^2=324	$36 y^{2} - 9 x^{2} = 324$
50108	Find the Quadrant	(-3,(5pi)/4)	$(- 3, \frac{5 π}{4})$
50109	Find the Position Vector	(5,3) , (10,-8)	$(5, 3) (10, - 8)$
50110	Solve for y	25 = square root of (-7)^2+y^2	$25 = \sqrt{{(- 7)}^{2} + y^{2}}$
50111	Solve for y	25 = square root of 24^2+y^2	$25 = \sqrt{24^{2} + y^{2}}$
50112	Solve for y	2x-3y=3	$2 x - 3 y = 3$
50113	Solve for y	-3=4/(y-2)	$- 3 = \frac{4}{y - 2}$
50114	Solve for y	y/x = square root of 3	$\frac{y}{x} = \sqrt{3}$
50115	Solve for y	6/5arccos(y/6)=pi	$\frac{6}{5} \arccos (\frac{y}{6}) = π$
50116	Solve for y	3.66/y+3.5/(2y)=2	$\frac{3.66}{y} + \frac{3.5}{2 y} = 2$
50117	Solve for y	4/5=y/7	$\frac{4}{5} = \frac{y}{7}$
50118	Solve for y	4.66/y+4.5/(3y)=3	$\frac{4.66}{y} + \frac{4.5}{3 y} = 3$
50119	Solve for y	(5/13)^2+y^2=1	${(\frac{5}{13})}^{2} + y^{2} = 1$
50120	Solve for y	(-5/6)^2+y^2=1^2	${(- \frac{5}{6})}^{2} + y^{2} = 1^{2}$
50121	Solve for y	(-8/17)^2+y^2=1	${(- \frac{8}{17})}^{2} + y^{2} = 1$
50122	Solve for y	(12.75sin(59.53))/(sin(63.21))=y	$\frac{12.75 \sin (59.53)}{\sin (63.21)} = y$
50123	Solve for y	y=cos(arcsin(1/8))	$y = \cos (\arcsin (\frac{1}{8}))$
50124	Solve for y	y=cos(x)+5	$y = \cos (x) + 5$
50125	Solve for y	y=arccos( square root of 3/2)	$y = \arccos (\sqrt{\frac{3}{2}})$
50126	Solve for y	y=cos(-1)^1	$y = \cos^{1} (- 1)$
50127	Solve for y	y=cos(theta)	$y = \cos (θ)$
50128	Solve for y	4x+y=20	$4 x + y = 20$
50129	Solve for y	7^(y+2)=2	$7^{y + 2} = 2$
50130	Solve for y	(-3/5,y)	$P (- \frac{3}{5}, y)$
50131	Solve for y	(-4/5,y)	$p (- \frac{4}{5}, y)$
50132	Solve for y	x-3y=9	$x - 3 y = 9$
50133	Solve for y	y(1/4)=1/4cos(6/4)	$y (\frac{1}{4}) = \frac{1}{4} \cos (\frac{6}{4})$
50134	Solve for y	y=arcsin( square root of 3)	$y = \arcsin (\sqrt{3})$
50135	Solve for y	y=arcsin(2)	$y = \sin^{-1} (2)$
50136	Solve for y	y=arcsin(-3)	$y = \sin^{-1} (- 3)$
50137	Solve for y	y=arctan(tan((5pi)/9))	$y = \tan^{-1} (\tan (\frac{5 π}{9}))$
50138	Solve for z	z^2+16=10z	$z^{2} + 16 = 10 z$
50139	Solve for z	z^2+27=12z	$z^{2} + 27 = 12 z$
50140	Solve for y	y=arcsec(-(2 square root of 3)/3)	$y = \sec^{-1} (- \frac{2 \sqrt{3}}{3})$
50141	Solve for y	y=tan(40/7)	$y = \tan (\frac{40}{7})$
50142	Solve for y	y=sin(270 degrees )	$y = \sin (270 °)$
50143	Solve for y	y=0.5(2)^2	$y = 0.5 {(2)}^{2}$
50144	Solve for y	y=arcsec(2.8842912)	$y = arcsec (2.8842912)$
50145	Solve for y	y=245(1.06)^x	$y = 245 {(1.06)}^{x}$
50146	Solve for y	y=500e^((( natural log of -00.06)/9)19)	$y = 500 e^{(\frac{\ln (- 0) \cdot 0.06}{9}) \cdot 19}$
50147	Solve for y	y=arccos(-1/2)	$y = \arccos (\frac{- 1}{2})$
50148	Solve for y	y=arccos(9)	$y = \arccos (9)$
50149	Solve for w	8pi=(2pi)/w	$8 π = \frac{2 π}{w}$
50150	Solve for w	log base 36 of 6=w	$\log_{36} (6) = w$
50151	Solve for w	4w^2=15w+4	$4 w^{2} = 15 w + 4$
50152	Solve for w	log base 64 of 4=w	$\log_{64} (4) = w$
50153	Solve for v	v=5i+12j	$v = 5 i + 12 j$
50154	Solve for v	v=4i+4j	$v = 4 i + 4 j$
50155	Solve for v	v=i-2j	$v = i - 2 j$
50156	Solve for t	t=(8pi)/3	$t = \frac{8 π}{3}$
50157	Solve for t	x=t^2+1	$x = t^{2} + 1$
50158	Solve for u	u^3=125	$u^{3} = 125$
50159	Solve for v	v=4/3pi*15^3	$v = \frac{4}{3} π \cdot 15^{3}$
50160	Solve for v	(v-7)^(2/3)=3	${(v - 7)}^{\frac{2}{3}} = 3$
50161	Solve for t	x=2t-2	$x = 2 t - 2$
50162	Solve for y	(-2/3)^2+y^2=1^2	${(- \frac{2}{3})}^{2} + y^{2} = 1^{2}$
50163	Solve for y	(1/4)^2+y^2=1	${(\frac{1}{4})}^{2} + y^{2} = 1$
50164	Solve for y	(-1/2)^2+y^2=1^2	${(- \frac{1}{2})}^{2} + y^{2} = 1^{2}$
50165	Solve for y	(( square root of 2)/2)^2+y^2=1	${(\frac{\sqrt{2}}{2})}^{2} + y^{2} = 1$
50166	Solve for y	(-( square root of 2)/2)^2+y^2=1	${(- \frac{\sqrt{2}}{2})}^{2} + y^{2} = 1$
50167	Solve for t	2cos(t)^2+cos(t)=1	$2 \cos^{2} (t) + \cos (t) = 1$
50168	Solve for t	2.25=-0.75sin(2pit)+2.5	$2.25 = - 0.75 \sin (2 π t) + 2.5$
50169	Solve for t	16=-10cos((2pi)/150t)+10	$16 = - 10 \cos (\frac{2 π}{150} t) + 10$
50170	Solve for t	3cos(pi/3t)=2	$3 \cos (\frac{π}{3} t) = 2$
50171	Solve for t	4500=3000(1+0.15/12)^(12t)	$4500 = 3000 {(1 + \frac{0.15}{12})}^{12 t}$
50172	Solve for t	70=70-10t-5t^2	$70 = 70 - 10 t - 5 t^{2}$
50173	Solve for t	5sin(t)+5cos(t)=-5	$5 \sin (t) + 5 \cos (t) = - 5$
50174	Solve for T	B=(RT-4)/6	$B = \frac{R T - 4}{6}$
50175	Solve for t	9cos(t)- square root of 3=7cos(t)	$9 \cos (t) - \sqrt{3} = 7 \cos (t)$
50176	Solve for t	h=105t-16t^2	$h = 105 t - 16 t^{2}$
50177	Solve for t	sin(-t)=3/4	$\sin (- t) = \frac{3}{4}$
50178	Solve for t	t=-pi/6	$t = - \frac{π}{6}$
50179	Solve for r	V=pir^2h	$V = π r^{2} h$
50180	Solve for s	9-4s=4(9-st)	$9 - 4 s = 4 (9 - s t)$
50181	Solve for s	7-2s=2(7-st)	$7 - 2 s = 2 (7 - s t)$
50182	Solve for s	7-4s=4(7-st)	$7 - 4 s = 4 (7 - s t)$
50183	Solve for r	t(r+s)=rs	$t (r + s) = r s$
50184	Solve for r	S(r+t)=rt	$S (r + t) = r t$
50185	Solve for r	r^2=36	$r^{2} = 36$
50186	Solve for r	900pi=4pir^2	$900 π = 4 π r^{2}$
50187	Solve for r	r=5	$r = 5$
50188	Solve for r	r=6cos(theta)	$r = 6 \cos (θ)$
50189	Solve for r	r=6sin(-( square root of 3)/3)	$r = 6 \sin (- \frac{\sqrt{3}}{3})$
50190	Solve for r	r^2-6r-83=-10	$r^{2} - 6 r - 83 = - 10$
50191	Solve for R	R=8/17	$R = \frac{8}{17}$
50192	Solve for r	r = square root of (0.30)^2+(0.16)^2	$r = \sqrt{{(0.3)}^{2} + {(0.16)}^{2}}$
50193	Solve for r	r = square root of (-24)^2+(10)^2	$r = \sqrt{{(- 24)}^{2} + {(10)}^{2}}$
50194	Solve for t	log base 3 of 7t+6- log base 3 of t = log base 3 of 8	$\log_{3} (7 t + 6) - \log_{3} (t) = \log_{3} (8)$
50195	Solve for t	theta=arctan((2t)/(t^2))	$θ = \arctan (\frac{2 t}{t^{2}})$
50196	Solve for s	tan(s)^2=1	$\tan^{2} (s) = 1$
50197	Solve for t	150=-16t^2+117t+2	$150 = - 16 t^{2} + 117 t + 2$
50198	Solve for s	cot(s)^2=3	$\cot^{2} (s) = 3$
50199	Solve for T	( log of 2)/( log of 1.65)=T	$\frac{\log (2)}{\log (1.65)} = T$
50200	Solve for t	1/2=5e^(-2.3t)cos(10pit)	$\frac{1}{2} = 5 e^{- 2.3 t} \cos (10 π t)$