Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
46201	Find the x and y Intercepts	(x^2-x+1)/(x-1)	$\frac{x^{2} - x + 1}{x - 1}$
46202	Find the x and y Intercepts	(x^2-x-6)/(x^2+3x)	$\frac{x^{2} - x - 6}{x^{2} + 3 x}$
46203	Find the x and y Intercepts	(x^2-5x+4)/(4x+4)	$\frac{x^{2} - 5 x + 4}{4 x + 4}$
46204	Find the x and y Intercepts	(x^2-25)/(x^2-16)	$\frac{x^{2} - 25}{x^{2} - 16}$
46205	Find the x and y Intercepts	(x^2-3x-4)/(x+2)	$\frac{x^{2} - 3 x - 4}{x + 2}$
46206	Find the x and y Intercepts	15/(1+4e^(-5x))	$\frac{15}{1 + 4 e^{- 5 x}}$
46207	Find the x and y Intercepts	(1/3)^x	${(\frac{1}{3})}^{x}$
46208	Find the x and y Intercepts	(2x^2+2x-12)/(x^2-x-6)	$\frac{2 x^{2} + 2 x - 12}{x^{2} - x - 6}$
46209	Find the x and y Intercepts	2x^2-8x+6	$2 x^{2} - 8 x + 6$
46210	Find the x and y Intercepts	square root of x-2+5	$\sqrt{x - 2} + 5$
46211	Find the x and y Intercepts	2x^2-4x-1	$2 x^{2} - 4 x - 1$
46212	Find the x and y Intercepts	(x+2)/(x^2+5x+6)	$\frac{x + 2}{x^{2} + 5 x + 6}$
46213	Find the x and y Intercepts	(x+2)/(x^2+x-6)	$\frac{x + 2}{x^{2} + x - 6}$
46214	Find the x and y Intercepts	(x^3-3x^2-4x)/(x-4)	$\frac{x^{3} - 3 x^{2} - 4 x}{x - 4}$
46215	Find the x and y Intercepts	(x^3-x^2-2x)/(-4x^3-8x^2+12x)	$\frac{x^{3} - x^{2} - 2 x}{- 4 x^{3} - 8 x^{2} + 12 x}$
46216	Find the x and y Intercepts	(x+1)/(x^2+2x-3)	$\frac{x + 1}{x^{2} + 2 x - 3}$
46217	Find the x and y Intercepts	2x	$2 x$
46218	Find the x and y Intercepts	2x^2+4x+3	$2 x^{2} + 4 x + 3$
46219	Find the x and y Intercepts	3 log of x+5+2	$3 \log (x + 5) + 2$
46220	Find the x and y Intercepts	3^(x+2)	$3^{x + 2}$
46221	Find the x and y Intercepts	5x+1	$5 x + 1$
46222	Find the x and y Intercepts	3x^2-4x-4	$3 x^{2} - 4 x - 4$
46223	Find the x and y Intercepts	3x^2-x^3	$3 x^{2} - x^{3}$
46224	Find the x and y Intercepts	-x^2+2x+5	$- x^{2} + 2 x + 5$
46225	Find the Discriminant	36x^2-12x+1=0	$36 x^{2} - 12 x + 1 = 0$
46226	Find Where Undefined/Discontinuous	f(x)=(x^2+x-6)/(x^2+3x-10)	$f (x) = \frac{x^{2} + x - 6}{x^{2} + 3 x - 10}$
46227	Find the Parallel Line	5x+4y=20 (3,2)	$5 x + 4 y = 20$ $(3, 2)$
46228	Find Amplitude, Period, and Phase Shift	9cos(pi/2x)	$9 \cos (\frac{π}{2} x)$
46229	Find Amplitude, Period, and Phase Shift	-4tan(2x-pi/4)-3	$- 4 \tan (2 x - \frac{π}{4}) - 3$
46230	Plot	(-2,(7pi)/4)	$(- 2, \frac{7 π}{4})$
46231	Plot	(3,pi/3)	$(3, \frac{π}{3})$
46232	Plot	(4,(5pi)/3)	$(4, \frac{5 π}{3})$
46233	Plot	(2,pi/3)	$(2, \frac{π}{3})$
46234	Find Amplitude, Period, and Phase Shift	2csc(x)	$2 \csc (x)$
46235	Subtract the Matrices	[[-5,3,8],[3,6,-5],[5,-9,0],[7,3,4]]-[[-7,-8,-5],[7,9,2],[2,5,-7],[2,8,-7]]	$[\begin{array}{c} - 5 & 3 & 8 \\ 3 & 6 & - 5 \\ 5 & - 9 & 0 \\ 7 & 3 & 4 \end{array}] - [\begin{array}{c} - 7 & - 8 & - 5 \\ 7 & 9 & 2 \\ 2 & 5 & - 7 \\ 2 & 8 & - 7 \end{array}]$
46236	Find the Quadrant	((3pi)/2,(7pi)/4)	$(\frac{3 π}{2}, \frac{7 π}{4})$
46237	Find the Quadrant	(1,-pi/2)	$(1, - \frac{π}{2})$
46238	Find the Quadrant	(-3,(5pi)/3)	$(- 3, \frac{5 π}{3})$
46239	Find the Quadrant	(3,(5pi)/4)	$(3, \frac{5 π}{4})$
46240	Find the Properties	((y+1)^2)/9-((x+4)^2)/16=1	$\frac{{(y + 1)}^{2}}{9} - \frac{{(x + 4)}^{2}}{16} = 1$
46241	Find the Properties	((y+5)^2)/9-((x-4)^2)/25=1	$\frac{{(y + 5)}^{2}}{9} - \frac{{(x - 4)}^{2}}{25} = 1$
46242	Find the Properties	((y-3)^2)/16-((x-2)^2)/25=1	$\frac{{(y - 3)}^{2}}{16} - \frac{{(x - 2)}^{2}}{25} = 1$
46243	Find the Properties	(x+3)^2=-2(y-1)	${(x + 3)}^{2} = - 2 (y - 1)$
46244	Find the Properties	(x+5)^2=24(y+1)	${(x + 5)}^{2} = 24 (y + 1)$
46245	Find the Properties	9x^2-4y^2-90x-24y=-153	$9 x^{2} - 4 y^{2} - 90 x - 24 y = - 153$
46246	Find the Properties	((x+1)^2)/9+((y-2)^2)/16=1	$\frac{{(x + 1)}^{2}}{9} + \frac{{(y - 2)}^{2}}{16} = 1$
46247	Find the Position Vector	(2,-3) , (-5,7)	$P (2, - 3)$ , $Q (- 5, 7)$
46248	Solve for a	sin(a)=0.1518	$\sin (a) = 0.1518$
46249	Solve for a	(ax+b)/(x^2-16)=A/(x-4)+B/(x+4)	$\frac{a x + b}{x^{2} - 16} = \frac{A}{x - 4} + \frac{B}{x + 4}$
46250	Solve for a	a^2+5^2=8^2	$a^{2} + 5^{2} = 8^{2}$
46251	Solve for A	A=23.1e^(0.0153(2000))	$A = 23.1 e^{0.0153 (2000)}$
46252	Solve for a	a=2500(0.10)^3	$a = 2500 {(0.1)}^{3}$
46253	Solve for A	A=arcsin(8/7)	$A = \arcsin (\frac{8}{7})$
46254	Solve for a	a=sin(77 degrees )22.7/(sin(10 degrees ))	$a = \sin (77 ° \frac{22.7}{\sin (10 °)})$
46255	Solve for A	cos(A)=(36+64-25)/(268)	$\cos (A) = \frac{36 + 64 - 25}{2 \cdot 6 \cdot 8}$
46256	Solve for a	log of a=n	$\log (a) = n$
46257	Solve for a	\|a-i\| = square root of 37	$\| a - i \| = \sqrt{37}$
46258	Solve for a	1192=149a^3	$1192 = 149 a^{3}$
46259	Solve for a	12^(6a)=65	$12^{6 a} = 65$
46260	Solve for a	160=a(11-10)^2+175	$160 = a {(11 - 10)}^{2} + 175$
46261	Solve for a	2^(2a-2)=4	$2^{2 a - 2} = 4$
46262	Solve for a	25^(-a)*625=625^(3a)	$25^{- a} \cdot 625 = 625^{3 a}$
46263	Solve for a	32=a^5	$32 = a^{5}$
46264	Solve for A	((y-A)^2)/(B^2)+((x-C)^2)/(D^2)=1	$\frac{{(y - A)}^{2}}{B^{2}} + \frac{{(x - C)}^{2}}{D^{2}} = 1$
46265	Solve for a	s=n/2(2a+(n-1)d)	$s = \frac{n}{2} (2 a + (n - 1) d)$
46266	Solve for a	tan(a)^2-tan(a)=0	$\tan^{2} (a) - \tan (a) = 0$
46267	Solve for a	tan(a)=(400+50 square root of 2)/(50 square root of 2)	$\tan (a) = \frac{400 + 50 \sqrt{2}}{50 \sqrt{2}}$
46268	Solve for b	log of b^2=1/6	$\log (b^{2}) = \frac{1}{6}$
46269	Solve for b	(3/16)/3=(3b^4)/3	$\frac{\frac{3}{16}}{3} = \frac{3 b^{4}}{3}$
46270	Solve for b	((3+2i)/(2-3i)+(5-i)/(2+3i))*a/b=1	$(\frac{3 + 2 i}{2 - 3 i} + \frac{5 - i}{2 + 3 i}) \cdot \frac{a}{b} = 1$
46271	Solve for B	4/(sin(B))=18/(sin(69 degrees ))	$\frac{4}{\sin (B)} = \frac{18}{\sin (69 °)}$
46272	Solve for b	5^2=3^2+b^2	$5^{2} = 3^{2} + b^{2}$
46273	Solve for b	3^2+b^2=7^2	$3^{2} + b^{2} = 7^{2}$
46274	Solve for b	3^2+b^2=8^2	$3^{2} + b^{2} = 8^{2}$
46275	Solve for c	c/8-11=2	$\frac{c}{8} - 11 = 2$
46276	Solve for c	3c^4-243=0	$3 c^{4} - 243 = 0$
46277	Solve for f	f^-1(4)=3	$f^{- 1} (4) = 3$
46278	Solve for f	f=arcsin(-( square root of 3)/2)	$f = \arcsin (- \frac{\sqrt{3}}{2})$
46279	Solve for d	d=3sin(8pi(0))-2	$d = 3 \sin (8 π (0)) - 2$
46280	Solve for c	c(13)=0.04(1-e^(-0.2(13)))	$c (13) = 0.04 (1 - e^{- 0.2 (13)})$
46281	Solve for C	C^2=25^2+51^2-22551cos(104)	$C^{2} = 25^{2} + 51^{2} - 2 \cdot 25 \cdot 51 \cos (104)$
46282	Solve for t	-16t^2+64t+20=0	$- 16 t^{2} + 64 t + 20 = 0$
46283	Solve for t	2=e^(0.028t)	$2 = e^{0.028 t}$
46284	Solve for t	125-t^2=0	$125 - t^{2} = 0$
46285	Solve for t	14=2+29t-16t^2	$14 = 2 + 29 t - 16 t^{2}$
46286	Solve for t	150=100e^(0.05t)	$150 = 100 e^{0.05 t}$
46287	Solve for t	0.2=1-e^((-0.08)(t))	$0.2 = 1 - e^{(- 0.08) (t)}$
46288	Solve for t	natural log of t+8=-1	$\ln (t + 8) = - 1$
46289	Solve for t	tan(t)=-4	$\tan (t) = - 4$
46290	Solve for t	0=-16t^2+100	$0 = - 16 t^{2} + 100$
46291	Solve for s	t = square root of (2s)/g	$t = \sqrt{\frac{2 s}{g}}$
46292	Solve for t	(1/5)^2+cos(t)^2=1	${(\frac{1}{5})}^{2} + \cos^{2} (t) = 1$
46293	Solve for t	1/s+1/t=1/f	$\frac{1}{s} + \frac{1}{t} = \frac{1}{f}$
46294	Solve for t	(2t+2)^2=5	${(2 t + 2)}^{2} = 5$
46295	Solve for t	t/(t+4)+8=5/(t+4)	$\frac{t}{t + 4} + 8 = \frac{5}{t + 4}$
46296	Solve for t	50000=5000(10^(0.5t))	$50000 = 5000 (10^{0.5 t})$
46297	Solve for t	50-t^2=0	$50 - t^{2} = 0$
46298	Solve for t	68=140t-16t^2	$68 = 140 t - 16 t^{2}$
46299	Solve for t	7t^2-8t=0	$7 t^{2} - 8 t = 0$
46300	Solve for t	8*5^(-t/9)=346	$8 \cdot 5^{- \frac{t}{9}} = 346$