Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
44201	Convert to Polar Coordinates	P=(4,-pi/3)	$P = (4, - \frac{π}{3})$
44202	Convert to Trigonometric Form	(cos((2pi)/7)+isin((2pi)/7))^5	${(\cos (\frac{2 π}{7}) + i \sin (\frac{2 π}{7}))}^{5}$
44203	Find the Center and Radius	16x^2+16y^2+96x-40y=315	$16 x^{2} + 16 y^{2} + 96 x - 40 y = 315$
44204	Find the Focus	x=8y^2	$x = 8 y^{2}$
44205	Convert to Rectangular	r=sec(theta)	$r = \sec (θ)$
44206	Convert to Rectangular	z=8(cos(240 degrees )+isin(240 degrees ))	$z = 8 (\cos (240 °) + i \sin (240 °))$
44207	Find All Integers k Such That the Trinomial Can Be Factored	3x^2+kx-1	$3 x^{2} + k x - 1$
44208	Find the Directrix	x=8y^2	$x = 8 y^{2}$
44209	Find Amplitude, Period, and Phase Shift	y=3cos(5x)	$y = 3 \cos (5 x)$
44210	Divide	135/180	$\frac{135}{180}$
44211	Convert to Polar Coordinates	(-5.2,2)	$(- 5.2, 2)$
44212	Convert to Rectangular	r=12cos(theta)	$r = 12 \cos (θ)$
44213	Convert to Rectangular	r=-sec(theta)	$r = - \sec (θ)$
44214	Convert to Rectangular	3-3i	$3 - 3 i$
44215	Find the Inverse	f(x)=1/3(x-5)	$f (x) = \frac{1}{3} (x - 5)$
44216	Find the Vertices	4x^2+y^2-8x+4y-8=0	$4 x^{2} + y^{2} - 8 x + 4 y - 8 = 0$
44217	Find the Domain and Range	f(x)=3x^2-24x+47	$f (x) = 3 x^{2} - 24 x + 47$
44218	Write in Standard Form	i/(1+i)+(i(1+i))/2	$\frac{i}{1 + i} + \frac{i (1 + i)}{2}$
44219	Find the Focus	y=1/8x^2	$y = \frac{1}{8} x^{2}$
44220	Find the Asymptotes	(x^2)/144-(y^2)/25=1	$\frac{x^{2}}{144} - \frac{y^{2}}{25} = 1$
44221	Find the Asymptotes	((x-2)^2)/36-((y-3)^2)/9=1	$\frac{{(x - 2)}^{2}}{36} - \frac{{(y - 3)}^{2}}{9} = 1$
44222	Convert to a Decimal	square root of 96	$\sqrt{96}$
44223	Find the Domain	f(x)=1/(x^3-2x^2+x)	$f (x) = \frac{1}{x^{3} - 2 x^{2} + x}$
44224	Convert to Rectangular	(2(cos(240 degrees )+isin(240 degrees )))^4	${(2 (\cos (240 °) + i \sin (240 °)))}^{4}$
44225	Convert to Rectangular	5(cos(135 degrees )+isin(135 degrees ))	$5 (\cos (135 °) + i \sin (135 °))$
44226	Determine if Odd, Even, or Neither	f(x)=10x^4-3x^2	$f (x) = 10 x^{4} - 3 x^{2}$
44227	Find the Vertices	4(y-1)^2-9(x-3)^2=36	$4 {(y - 1)}^{2} - 9 {(x - 3)}^{2} = 36$
44228	Find the Vertices	((x+7)^2)/25-((y-8)^2)/36=1	$\frac{{(x + 7)}^{2}}{25} - \frac{{(y - 8)}^{2}}{36} = 1$
44229	Find the Directrix	y^2-6y+12x+9=0	$y^{2} - 6 y + 12 x + 9 = 0$
44230	Find the Domain and Range	y=2x-3	$y = 2 x - 3$
44231	Find the Focus	y^2=5x	$y^{2} = 5 x$
44232	Find the Directrix	x^2=5y	$x^{2} = 5 y$
44233	Find the Directrix	x^2+4x+6y-2=0	$x^{2} + 4 x + 6 y - 2 = 0$
44234	Convert to Rectangular	6(cos(210 degrees )+isin(210 degrees ))	$6 (\cos (210 °) + i \sin (210 °))$
44235	Convert to Rectangular	r=6csc(theta)	$r = 6 \csc (θ)$
44236	Convert to Rectangular	4(cos(300 degrees )+isin(300 degrees ))	$4 (\cos (300 °) + i \sin (300 °))$
44237	Find the Asymptotes	(x^2)/36-(y^2)/64=1	$\frac{x^{2}}{36} - \frac{y^{2}}{64} = 1$
44238	Find the Asymptotes	(x^2)/81+(y^2)/64=1	$\frac{x^{2}}{81} + \frac{y^{2}}{64} = 1$
44239	Find the Inverse	f(x)=(6x+7)/(5x-6)	$f (x) = \frac{6 x + 7}{5 x - 6}$
44240	Find the Vertices	(x^2)/16-(y^2)/7=1	$\frac{x^{2}}{16} - \frac{y^{2}}{7} = 1$
44241	Find the Vertices	(x^2)/81+(y^2)/25=1	$\frac{x^{2}}{81} + \frac{y^{2}}{25} = 1$
44242	Find the Vertices	(x^2)/81+(y^2)/49=1	$\frac{x^{2}}{81} + \frac{y^{2}}{49} = 1$
44243	Find the Focus	y^2=-5x	$y^{2} = - 5 x$
44244	Find the Focus	x^2+4x+6y-2=0	$x^{2} + 4 x + 6 y - 2 = 0$
44245	Find the Asymptotes	y=(x^2+2x-3)/(x-7)	$y = \frac{x^{2} + 2 x - 3}{x - 7}$
44246	Convert to Rectangular	r=1/(cos(theta)+5sin(theta))	$r = \frac{1}{\cos (θ) + 5 \sin (θ)}$
44247	Convert to Rectangular	5(cos(100 degrees )+isin(100 degrees ))	$5 (\cos (100 °) + i \sin (100 °))$
44248	Convert to Rectangular	r=-10sin(theta)	$r = - 10 \sin (θ)$
44249	Expand Using the Binomial Theorem	(a-2b^2)^4	${(a - 2 b^{2})}^{4}$
44250	Convert to a Decimal	square root of 185	$\sqrt{185}$
44251	Find the Inverse	f(x)=8x^3+5	$f (x) = 8 x^{3} + 5$
44252	Find the Inverse	f(x)=-3x-9	$f (x) = - 3 x - 9$
44253	Convert to Polar Coordinates	(0,- square root of 2)	$(0, - \sqrt{2})$
44254	Find the Domain and Range	f(x)=-2x^2-24x-76	$f (x) = - 2 x^{2} - 24 x - 76$
44255	Find the Domain and Range	f(x)=-5-2(x+3)^2	$f (x) = - 5 - 2 {(x + 3)}^{2}$
44256	Expand the Logarithmic Expression	log base 3 of 15x+3y	$\log_{3} (15 x + 3 y)$
44257	Find the Focus	y^2-20x=0	$y^{2} - 20 x = 0$
44258	Find the Directrix	y^2=-5x	$y^{2} = - 5 x$
44259	Find the Directrix	y^2-8x+10y+9=0	$y^{2} - 8 x + 10 y + 9 = 0$
44260	Find the Directrix	(x+5)^2=24(y+1)	${(x + 5)}^{2} = 24 (y + 1)$
44261	Find the Asymptotes	y=sec(x)	$y = \sec (x)$
44262	Find the Asymptotes	y=tan(3/4x)	$y = \tan (\frac{3}{4} x)$
44263	Expand Using the Binomial Theorem	(2y-3x)^5	${(2 y - 3 x)}^{5}$
44264	Find the Vertices	((y-1)^2)/25-((x+2)^2)/11=1	$\frac{{(y - 1)}^{2}}{25} - \frac{{(x + 2)}^{2}}{11} = 1$
44265	Find the Vertices	x^2+9y^2+2x+18y+1=0	$x^{2} + 9 y^{2} + 2 x + 18 y + 1 = 0$
44266	Find the Vertices	8x^2+9y^2=72	$8 x^{2} + 9 y^{2} = 72$
44267	Find the Vertices	(x^2)/9+(y^2)/81=1	$\frac{x^{2}}{9} + \frac{y^{2}}{81} = 1$
44268	Convert to Polar Coordinates	(2 square root of 3,6)	$(2 \sqrt{3}, 6)$
44269	Convert to Polar Coordinates	(8,4)	$(8, 4)$
44270	Find the Union of the Inequalities	x+1>3 , x-2>4	$x + 1 > 3$ , $x - 2 > 4$
44271	Find the Cofactor Matrix	[[3,2,1],[4,4,4],[1,2,3]]	$[\begin{array}{c} 3 & 2 & 1 \\ 4 & 4 & 4 \\ 1 & 2 & 3 \end{array}]$
44272	Write in Exponential Form	log base square root of 3 of 27=6	$\log_{\sqrt{3}} (27) = 6$
44273	Write in Exponential Form	log base square root of 3 of 9=4	$\log_{\sqrt{3}} (9) = 4$
44274	Solve Using the Square Root Property	2y^2-40=0	$2 y^{2} - 40 = 0$
44275	Find the Domain and Range	y=cos(theta)	$y = \cos (θ)$
44276	Find the Focus	(y-2)^2=8(x+1)	${(y - 2)}^{2} = 8 (x + 1)$
44277	Find the Asymptotes	x^2-4y^2=4	$x^{2} - 4 y^{2} = 4$
44278	Find the Asymptotes	9x^2-y^2-36x-6y+18=0	$9 x^{2} - y^{2} - 36 x - 6 y + 18 = 0$
44279	Solve for z	z^3-1=0	$z^{3} - 1 = 0$
44280	Find the Center and Radius	x^2+y^2-2x+4y+1=0	$x^{2} + y^{2} - 2 x + 4 y + 1 = 0$
44281	Find the Directrix	((x-1)^2)/9-((y-2)^2)/16=1	$\frac{{(x - 1)}^{2}}{9} - \frac{{(y - 2)}^{2}}{16} = 1$
44282	Find the Directrix	(y+2)^2=8(x+1)	${(y + 2)}^{2} = 8 (x + 1)$
44283	Find the Directrix	y^2-20x=0	$y^{2} - 20 x = 0$
44284	Find the Vertices	4(x-2)^2-9(y+4)^2=1	$4 {(x - 2)}^{2} - 9 {(y + 4)}^{2} = 1$
44285	Convert to Polar Coordinates	(7 square root of 3,-7)	$(7 \sqrt{3}, - 7)$
44286	Convert to Polar Coordinates	P=(9,-pi/5)	$P = (9, - \frac{π}{5})$
44287	Find the x and y Intercepts	f(x)=15x^2+23x-28	$f (x) = 15 x^{2} + 23 x - 28$
44288	Find Amplitude, Period, and Phase Shift	y=0.5cos(6x)	$y = 0.5 \cos (6 x)$
44289	Find the Domain and Range	x^2-y^2=9	$x^{2} - y^{2} = 9$
44290	Expand the Logarithmic Expression	log base 7 of ninth root of (x^4y)/49	$\log_{7} (\sqrt[9]{\frac{x^{4} y}{49}})$
44291	Expand Using the Binomial Theorem	(2x+ square root of 2)^9	${(2 x + \sqrt{2})}^{9}$
44292	Find the Focus	(y-2)^2+16(x-3)=0	${(y - 2)}^{2} + 16 (x - 3) = 0$
44293	Find the Focus	y^2-8x=0	$y^{2} - 8 x = 0$
44294	Find the Directrix	x^2=48y	$x^{2} = 48 y$
44295	Find the Directrix	3x^2+30x-4y+95=0	$3 x^{2} + 30 x - 4 y + 95 = 0$
44296	Solve for l	t=2pi square root of l/g	$t = 2 π \sqrt{\frac{l}{g}}$
44297	Find the Asymptotes	(x^2)/4-(y^2)/49=1	$\frac{x^{2}}{4} - \frac{y^{2}}{49} = 1$
44298	Find the Asymptotes	(y^2)/64-(x^2)/81=1	$\frac{y^{2}}{64} - \frac{x^{2}}{81} = 1$
44299	Find the Asymptotes	-4x^2+40x+25y^2-100y+100=0	$- 4 x^{2} + 40 x + 25 y^{2} - 100 y + 100 = 0$
44300	Convert to Trigonometric Form	-3-i	$- 3 - i$