Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
41201	Convert to Rectangular	r=2sec(theta)	$r = 2 \sec (θ)$
41202	Convert to Polar Coordinates	(-5 square root of 2,5 square root of 2)	$(- 5 \sqrt{2}, 5 \sqrt{2})$
41203	Convert to Rectangular Coordinates	(-9,-7)	$(- 9, - 7)$
41204	Convert to Rectangular Coordinates	(4,80)	$(4, 80)$
41205	Find the Domain	square root of x-3	$\sqrt{x - 3}$
41206	Convert to a Decimal	square root of 61	$\sqrt{61}$
41207	Find the Vertex	x^2=24y	$x^{2} = 24 y$
41208	Find the Asymptotes	f(x)=(x^2+x-6)/(x^2+2x-8)	$f (x) = \frac{x^{2} + x - 6}{x^{2} + 2 x - 8}$
41209	Convert to Polar Coordinates	(- square root of 2,- square root of 6)	$(- \sqrt{2}, - \sqrt{6})$
41210	Find the Center and Radius	x^2+y^2-6y=0	$x^{2} + y^{2} - 6 y = 0$
41211	Convert to Trigonometric Form	-2	$- 2$
41212	Find the Vertex	x^2=32y	$x^{2} = 32 y$
41213	Find the Asymptotes	(x^2-7x+12)/(x^2-16)	$\frac{x^{2} - 7 x + 12}{x^{2} - 16}$
41214	Write in Standard Form	(3-2i)^8	${(3 - 2 i)}^{8}$
41215	Find the Focus	y=x^2-12x	$y = x^{2} - 12 x$
41216	Find the Asymptotes	(y^2)/36-(x^2)/64=1	$\frac{y^{2}}{36} - \frac{x^{2}}{64} = 1$
41217	Write in Standard Form	9x^2+25y^2-72x+50y-56=0	$9 x^{2} + 25 y^{2} - 72 x + 50 y - 56 = 0$
41218	Find the Center and Radius	4x^2+4y^2+24x-48y=0	$4 x^{2} + 4 y^{2} + 24 x - 48 y = 0$
41219	Find the Asymptotes	f(x)=1/(x-6)	$f (x) = \frac{1}{x - 6}$
41220	Find the Center and Radius	4x^2+9y^2=36	$4 x^{2} + 9 y^{2} = 36$
41221	Convert to Polar Coordinates	(-3/2,(3 square root of 3)/2)	$(- \frac{3}{2}, \frac{3 \sqrt{3}}{2})$
41222	Convert to Polar Coordinates	(-4,6)	$(- 4, 6)$
41223	Convert to Trigonometric Form	3	$3$
41224	Convert to Trigonometric Form	6	$6$
41225	Find the Domain and Range	(x^2)/100+(y^2)/64=1	$\frac{x^{2}}{100} + \frac{y^{2}}{64} = 1$
41226	Find the Asymptotes	f(x)=(2x^3+24x^2+35x-175)/(x^2+14x+45)	$f (x) = \frac{2 x^{3} + 24 x^{2} + 35 x - 175}{x^{2} + 14 x + 45}$
41227	Find the Asymptotes	(x^2)/9-(y^2)/49=1	$\frac{x^{2}}{9} - \frac{y^{2}}{49} = 1$
41228	Find the Asymptotes	(x^2)/64-(y^2)/36=1	$\frac{x^{2}}{64} - \frac{y^{2}}{36} = 1$
41229	Find the Asymptotes	y=3^(-x)-1	$y = 3^{- x} - 1$
41230	Write in Standard Form	2y^2+8y-2x+6=0	$2 y^{2} + 8 y - 2 x + 6 = 0$
41231	Graph	f(theta)=4sin(theta)	$f (θ) = 4 \sin (θ)$
41232	Graph	f(theta)=4sin(3theta)	$f (θ) = 4 \sin (3 θ)$
41233	Convert from Degrees to Radians	99 degrees	$99 °$
41234	Convert to Trigonometric Form	-1	$- 1$
41235	Find the Vertex	x^2+4x-2y-2=0	$x^{2} + 4 x - 2 y - 2 = 0$
41236	Expand Using De Moivre's Theorem	(2cispi/9)^3	${(2 c i s \frac{π}{9})}^{3}$
41237	Expand the Logarithmic Expression	log of x^5 cube root of y^2z	$\log (x^{5} \sqrt[3]{y^{2} z})$
41238	Find the Asymptotes	(x^2-5x+6)/(x^2-4)	$\frac{x^{2} - 5 x + 6}{x^{2} - 4}$
41239	Write in Standard Form	(9-8i)/(8+7i)	$\frac{9 - 8 i}{8 + 7 i}$
41240	Find the Domain and Range	x-2=(y-2)^2	$x - 2 = {(y - 2)}^{2}$
41241	Find the Domain and Range	(x-1)^2=(y-1)	${(x - 1)}^{2} = (y - 1)$
41242	Split Using Partial Fraction Decomposition	(-5x^2-30x-21)/(x^2+7x)	$\frac{- 5 x^{2} - 30 x - 21}{x^{2} + 7 x}$
41243	Write in Standard Form	4x^2+64y^2=256	$4 x^{2} + 64 y^{2} = 256$
41244	Write in Standard Form	9x^2-18x+4y^2+16y-11=0	$9 x^{2} - 18 x + 4 y^{2} + 16 y - 11 = 0$
41245	Find the Asymptotes	f(x)=(3x-9)/(x^2-4)	$f (x) = \frac{3 x - 9}{x^{2} - 4}$
41246	Graph	f(theta)=3sin(4theta)	$f (θ) = 3 \sin (4 θ)$
41247	Convert from Degrees to Radians	-435 degrees	$- 435 °$
41248	Find the x and y Intercepts	5.152x^3-143x^2+1102x-1673	$5.152 x^{3} - 143 x^{2} + 1102 x - 1673$
41249	Convert to Polar Coordinates	(3,(5pi)/6)	$(3, \frac{5 π}{6})$
41250	Find the Vertex	x^2+8x=4y-8	$x^{2} + 8 x = 4 y - 8$
41251	Find the Vertex	y=x^2-2x-15	$y = x^{2} - 2 x - 15$
41252	Find the Vertex	y^2+6y+8x+25=0	$y^{2} + 6 y + 8 x + 25 = 0$
41253	Find the Asymptotes	f(x)=(x^2-8x+7)/(x^2-49)	$f (x) = \frac{x^{2} - 8 x + 7}{x^{2} - 49}$
41254	Find the Asymptotes	f(x)=(2x^3+11x^2+5x-1)/(x^2+6x+5)	$f (x) = \frac{2 x^{3} + 11 x^{2} + 5 x - 1}{x^{2} + 6 x + 5}$
41255	Find the Quadrant of the Angle	482	$482$
41256	Find the Roots (Zeros)	f(x)=2x^4-13x^3-16x^2+243x-116	$f (x) = 2 x^{4} - 13 x^{3} - 16 x^{2} + 243 x - 116$
41257	Find the Domain and Range	f(x)=5x-7	$f (x) = 5 x - 7$
41258	Write in Standard Form	y^2-4y=4x+16	$y^{2} - 4 y = 4 x + 16$
41259	Write in Standard Form	4x^2+4y^2+40x+16y+40=0	$4 x^{2} + 4 y^{2} + 40 x + 16 y + 40 = 0$
41260	Write in Standard Form	3x^2-12x-2y^2+16y-26=0	$3 x^{2} - 12 x - 2 y^{2} + 16 y - 26 = 0$
41261	Simplify	square root of (3x)/8	$\sqrt{\frac{3 x}{8}}$
41262	Find the Asymptotes	y=cot(x-(2pi)/3)	$y = \cot (x - \frac{2 π}{3})$
41263	Solve for t	t=(9pi)/2	$t = \frac{9 π}{2}$
41264	Convert from Degrees to Radians	112 degrees	$112 °$
41265	Expand Using the Binomial Theorem	(x-3)^11	${(x - 3)}^{11}$
41266	Find the Roots (Zeros)	f(x)=x^3+7x^2+15x+9	$f (x) = x^{3} + 7 x^{2} + 15 x + 9$
41267	Find the Vertex	y=18x^2-72x+82	$y = 18 x^{2} - 72 x + 82$
41268	Find the Asymptotes	C(h)=(2h^2+5h)/(h^3+8)	$C (h) = \frac{2 h^{2} + 5 h}{h^{3} + 8}$
41269	Solve for n	-10*20^(5-8n)+7=-75	$- 10 \cdot 20^{5 - 8 n} + 7 = - 75$
41270	Solve for t	x=2t	$x = 2 t$
41271	Solve for t	sin(t)=-( square root of 2)/2	$\sin (t) = - \frac{\sqrt{2}}{2}$
41272	Find the Domain and Range	((x-2)^2)/4+((y-3)^2)/1=1	$\frac{{(x - 2)}^{2}}{4} + \frac{{(y - 3)}^{2}}{1} = 1$
41273	Solve by Substitution	y=5xy=x^3+4x^2+12x	$y = 5 x y = x^{3} + 4 x^{2} + 12 x$
41274	Write in Standard Form	16x^2+25y^2-128x+50y-119=0	$16 x^{2} + 25 y^{2} - 128 x + 50 y - 119 = 0$
41275	Write in Standard Form	r=6	$r = 6$
41276	Write in Standard Form	x^2+y^2+14x-12y+4=0	$x^{2} + y^{2} + 14 x - 12 y + 4 = 0$
41277	Find the Domain and Range	g(x)=2^x-1	$g (x) = 2^{x} - 1$
41278	Write in Standard Form	x^2-2x+8y+9=0	$x^{2} - 2 x + 8 y + 9 = 0$
41279	Convert to Polar Coordinates	(4,90 degrees )	$(4, 90 °)$
41280	Convert to Polar Coordinates	(-5 square root of 2,-5 square root of 2)	$(- 5 \sqrt{2}, - 5 \sqrt{2})$
41281	Find the x and y Intercepts	x^2+y^2-4x-6y-3=0	$x^{2} + y^{2} - 4 x - 6 y - 3 = 0$
41282	Convert from Degrees to Radians	334 degrees	$334 °$
41283	Find the Center and Radius	9x^2+9y^2-36x+72y=0	$9 x^{2} + 9 y^{2} - 36 x + 72 y = 0$
41284	Convert to Trigonometric Form	-3 square root of 2+3i square root of 2	$- 3 \sqrt{2} + 3 i \sqrt{2}$
41285	Convert to Trigonometric Form	-3 square root of 2+3 square root of 2i	$- 3 \sqrt{2} + 3 \sqrt{2} i$
41286	Convert to Interval Notation	3/(x-1)>4/(x+1)	$\frac{3}{x - 1} > \frac{4}{x + 1}$
41287	Find the Asymptotes	(x^2-7x+6)/(x^2-36)	$\frac{x^{2} - 7 x + 6}{x^{2} - 36}$
41288	Find the Asymptotes	x/(x^2-4)	$\frac{x}{x^{2} - 4}$
41289	Find the Domain and Range	square root of square root of x	$\sqrt{\sqrt{x}}$
41290	Find the Asymptotes	f(x)=(x^2-5x+6)/(x^2-9)	$f (x) = \frac{x^{2} - 5 x + 6}{x^{2} - 9}$
41291	Find the Asymptotes	f(x)=(x^2-7x+10)/(x^2-25)	$f (x) = \frac{x^{2} - 7 x + 10}{x^{2} - 25}$
41292	Find the Asymptotes	f(x)=(2x+5)/(x^2-9x+18)	$f (x) = \frac{2 x + 5}{x^{2} - 9 x + 18}$
41293	Solve for b	3=(2pi)/b	$3 = \frac{2 π}{b}$
41294	Find the Domain and Range	((x+6)^2)/20+((y-4)^2)/16=1	$\frac{{(x + 6)}^{2}}{20} + \frac{{(y - 4)}^{2}}{16} = 1$
41295	Write in Standard Form	y^2-4y+12x-8=0	$y^{2} - 4 y + 12 x - 8 = 0$
41296	Write in Standard Form	4x^2-9y^2-16x+54y-101=0	$4 x^{2} - 9 y^{2} - 16 x + 54 y - 101 = 0$
41297	Determine if Odd, Even, or Neither	f(x)=x^2+2x-1	$f (x) = x^{2} + 2 x - 1$
41298	Graph	f(theta)=4cos(3theta)	$f (θ) = 4 \cos (3 θ)$
41299	Find the Center and Radius	16x^2+16y^2+64x+128y=0	$16 x^{2} + 16 y^{2} + 64 x + 128 y = 0$
41300	Find the Center and Radius	x^2+y^2-10x+6y-2=0	$x^{2} + y^{2} - 10 x + 6 y - 2 = 0$