Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
41601	Write in Standard Form	r=2	$r = 2$
41602	Write in Standard Form	r=7	$r = 7$
41603	Write in Standard Form	9x^2+25y^2-72x-300y+819=0	$9 x^{2} + 25 y^{2} - 72 x - 300 y + 819 = 0$
41604	Write in Standard Form	9x^2+4y^2-108x-32y+352=0	$9 x^{2} + 4 y^{2} - 108 x - 32 y + 352 = 0$
41605	Write in Standard Form	25x^2+36y^2-350x+325=0	$25 x^{2} + 36 y^{2} - 350 x + 325 = 0$
41606	Write in Standard Form	16x^2+y^2+14y=-33	$16 x^{2} + y^{2} + 14 y = - 33$
41607	Write in Standard Form	2x^2+2y^2+12x+8y-4=0	$2 x^{2} + 2 y^{2} + 12 x + 8 y - 4 = 0$
41608	Write in Standard Form	4x^2-36y+9y^2=0	$4 x^{2} - 36 y + 9 y^{2} = 0$
41609	Plot	(-2,pi/4)	$(- 2, \frac{π}{4})$
41610	Find the Asymptotes	f(x)=(x-7)/(x^2-49)	$f (x) = \frac{x - 7}{x^{2} - 49}$
41611	Find the Asymptotes	f(x)=(x^2-81)/(x^3-9x)	$f (x) = \frac{x^{2} - 81}{x^{3} - 9 x}$
41612	Find the Asymptotes	f(x)=(8/3)^x	$f (x) = {(\frac{8}{3})}^{x}$
41613	Find the Roots (Zeros)	f(x)=x^3-3x^2-25x-21	$f (x) = x^{3} - 3 x^{2} - 25 x - 21$
41614	Find the Roots (Zeros)	f(x)=2x^4+14x^3-35x^2	$f (x) = 2 x^{4} + 14 x^{3} - 35 x^{2}$
41615	Convert to Interval Notation	(8x)/(x-9)>=0	$\frac{8 x}{x - 9} \geq 0$
41616	Factor over the Complex Numbers	5-5i	$5 - 5 i$
41617	Find the Vertex	(y-3)^2=8(x-2)	${(y - 3)}^{2} = 8 (x - 2)$
41618	Find the Vertex	x^2+12x-2y+54=0	$x^{2} + 12 x - 2 y + 54 = 0$
41619	Find the Vertex	y=(x-3)^2-3	$y = {(x - 3)}^{2} - 3$
41620	Find the Vertex	y=2x^2+24x-18	$y = 2 x^{2} + 24 x - 18$
41621	Find the Derivative - d/d@VAR	f(x) = square root of x-2	$f (x) = \sqrt{x} - 2$
41622	Find the Derivative - d/dx	3 square root of x	$3 \sqrt{x}$
41623	Find the Vertex Form	x^2-y^2+4x-8y=0	$x^{2} - y^{2} + 4 x - 8 y = 0$
41624	Identify the Polar Equation	r=-10cos(theta)	$r = - 10 \cos (θ)$
41625	Identify the Polar Equation	r=4-2sin(theta)	$r = 4 - 2 \sin (θ)$
41626	Find the Roots (Zeros)	x^3-15x^2+79x-145	$x^{3} - 15 x^{2} + 79 x - 145$
41627	Find the Roots (Zeros)	2x^3-5x^2-4x+3	$2 x^{3} - 5 x^{2} - 4 x + 3$
41628	Find the Roots (Zeros)	4x^4+8x^3-7x^2-21x-9	$4 x^{4} + 8 x^{3} - 7 x^{2} - 21 x - 9$
41629	Find the Roots (Zeros)	9/(x^2+3)	$\frac{9}{x^{2} + 3}$
41630	Split Using Partial Fraction Decomposition	(5x^2-18x+24)/(x^3-4x^2+4x)	$\frac{5 x^{2} - 18 x + 24}{x^{3} - 4 x^{2} + 4 x}$
41631	Solve by Substitution	1/5x+1/2y=8x+y=20	$\frac{1}{5} x + \frac{1}{2} y = 8 x + y = 20$
41632	Graph	f(theta)=2cos(2theta)	$f (θ) = 2 \cos (2 θ)$
41633	Find the Center and Radius	4x^2+4y^2+40x-80y=0	$4 x^{2} + 4 y^{2} + 40 x - 80 y = 0$
41634	Find the Center and Radius	9x^2+9y^2+90x-180y=0	$9 x^{2} + 9 y^{2} + 90 x - 180 y = 0$
41635	Find the Center and Radius	16x^2+16y^2+64x-128y=0	$16 x^{2} + 16 y^{2} + 64 x - 128 y = 0$
41636	Find the Center and Radius	4x^2+4y^2-32x+16y-20=0	$4 x^{2} + 4 y^{2} - 32 x + 16 y - 20 = 0$
41637	Find the Center and Radius	3x^2+3y^2-24x+6y-24=0	$3 x^{2} + 3 y^{2} - 24 x + 6 y - 24 = 0$
41638	Find the Center and Radius	x^2+y^2+6x+10y-47=0	$x^{2} + y^{2} + 6 x + 10 y - 47 = 0$
41639	Find the Center and Radius	x^2+y^2+2x+4y-9=0	$x^{2} + y^{2} + 2 x + 4 y - 9 = 0$
41640	Find the Center and Radius	(x-2)^2+(y+3)^2=9	${(x - 2)}^{2} + {(y + 3)}^{2} = 9$
41641	Solve Using the Quadratic Formula	4x^2+16x+21=0	$4 x^{2} + 16 x + 21 = 0$
41642	Solve for u	u=-3i+8j	$u = - 3 i + 8 j$
41643	Solve for v	v=6i-8j	$v = 6 i - 8 j$
41644	Solve for n	-6e^(-2n)-3=-67	$- 6 e^{- 2 n} - 3 = - 67$
41645	Solve for p	5^(p+2)=1/625	$5^{p + 2} = \frac{1}{625}$
41646	Find the Center	25x^2+36y^2-400x+700=0	$25 x^{2} + 36 y^{2} - 400 x + 700 = 0$
41647	Find the Center	5x^2+9y^2-80x+54y+221=0	$5 x^{2} + 9 y^{2} - 80 x + 54 y + 221 = 0$
41648	Find the Center	((y+3)^2)/81-((x-6)^2)/89=1	$\frac{{(y + 3)}^{2}}{81} - \frac{{(x - 6)}^{2}}{89} = 1$
41649	Find the Trig Value	sin(theta)=-12/13	$\sin (θ) = - \frac{12}{13}$
41650	Find All Integers k Such That the Trinomial Can Be Factored	25x^2-kx+4	$25 x^{2} - k x + 4$
41651	Find the x and y Intercepts	x^2+y^2-2x-4y-20=0	$x^{2} + y^{2} - 2 x - 4 y - 20 = 0$
41652	Find the x and y Intercepts	x^2+y^2-6x-2y-6=0	$x^{2} + y^{2} - 6 x - 2 y - 6 = 0$
41653	Find the x and y Intercepts	(x^2)/9+(y^2)/25=1	$\frac{x^{2}}{9} + \frac{y^{2}}{25} = 1$
41654	Convert to a Simplified Fraction	square root of 58	$\sqrt{58}$
41655	Convert to a Simplified Fraction	square root of 28	$\sqrt{28}$
41656	Convert from Degrees to Radians	173 degrees	$173 °$
41657	Convert from Degrees to Radians	-170 degrees	$- 170 °$
41658	Convert from Degrees to Radians	876 degrees	$876 °$
41659	Find the Degree	sin(theta)=-( square root of 2)/2	$\sin (θ) = - \frac{\sqrt{2}}{2}$
41660	Find the Asymptotes	(5x^3-51x^2+77x+100)/(x^2-11x+24)	$\frac{5 x^{3} - 51 x^{2} + 77 x + 100}{x^{2} - 11 x + 24}$
41661	Find the Asymptotes	(5x+8)/(x^2-14x+24)	$\frac{5 x + 8}{x^{2} - 14 x + 24}$
41662	Find the Asymptotes	(3x^2-2x-5)/(2x+7)	$\frac{3 x^{2} - 2 x - 5}{2 x + 7}$
41663	Write in Standard Form	4x^2-48x+y^2-4y+48=0	$4 x^{2} - 48 x + y^{2} - 4 y + 48 = 0$
41664	Write in Standard Form	4x^2-16y^2-48x-160y-320=0	$4 x^{2} - 16 y^{2} - 48 x - 160 y - 320 = 0$
41665	Write in Standard Form	4x^2+y^2+16x-6y-39=0	$4 x^{2} + y^{2} + 16 x - 6 y - 39 = 0$
41666	Write in Standard Form	36x^2+504x+49y^2=0	$36 x^{2} + 504 x + 49 y^{2} = 0$
41667	Write in Standard Form	49x^2+686+36y^2=0	$49 x^{2} + 686 + 36 y^{2} = 0$
41668	Write in Standard Form	theta=(5pi)/4	$θ = \frac{5 π}{4}$
41669	Write in Standard Form	9x^2+25y^2-18x+100y-116=0	$9 x^{2} + 25 y^{2} - 18 x + 100 y - 116 = 0$
41670	Write in Standard Form	9x^2+25y^2-18x+50y-191=0	$9 x^{2} + 25 y^{2} - 18 x + 50 y - 191 = 0$
41671	Write in Standard Form	9x^2-36x+4y^2=0	$9 x^{2} - 36 x + 4 y^{2} = 0$
41672	Write in Standard Form	9x^2-4y^2-18x+16y-43=0	$9 x^{2} - 4 y^{2} - 18 x + 16 y - 43 = 0$
41673	Write in Standard Form	x^2+y^2-36=0	$x^{2} + y^{2} - 36 = 0$
41674	Find the Domain and Range	r(x)=(2x^2+14x-36)/(x^2+x-12)	$r (x) = \frac{2 x^{2} + 14 x - 36}{x^{2} + x - 12}$
41675	Write in Standard Form	y^2+2y+6x^2-24x=5	$y^{2} + 2 y + 6 x^{2} - 24 x = 5$
41676	Expand Using De Moivre's Theorem	(3(cos(15 degrees )+isin(15 degrees )))^4	${(3 (\cos (15 °) + i \sin (15 °)))}^{4}$
41677	Find the Asymptotes	g(x)=e^x+4	$g (x) = e^{x} + 4$
41678	Find the Roots (Zeros)	f(x)=2x^3+7x^2-5x-4	$f (x) = 2 x^{3} + 7 x^{2} - 5 x - 4$
41679	Find the Roots (Zeros)	f(x)=2x^3-23x^2+58x+35	$f (x) = 2 x^{3} - 23 x^{2} + 58 x + 35$
41680	Find the Perfect Square Trinomial	16x^2+24x	$16 x^{2} + 24 x$
41681	Identify the Conic	7x^2+7y^2+3x-5y-1=0	$7 x^{2} + 7 y^{2} + 3 x - 5 y - 1 = 0$
41682	Identify the Conic	(x-4)^2+(y-1)^2=10	${(x - 4)}^{2} + {(y - 1)}^{2} = 10$
41683	Convert to Interval Notation	(x-7)(x-1)^2(x+4)<0	$(x - 7) {(x - 1)}^{2} (x + 4) < 0$
41684	Convert to Interval Notation	x^4>9x^2	$x^{4} > 9 x^{2}$
41685	Convert to Interval Notation	x^3-3x^2<0	$x^{3} - 3 x^{2} < 0$
41686	Find the Vertex	y^2-2x+8y+18=0	$y^{2} - 2 x + 8 y + 18 = 0$
41687	Find the Vertex	y=-(x-1)^2-5	$y = - {(x - 1)}^{2} - 5$
41688	Find the Vertex	y^2-6y+12x+9=0	$y^{2} - 6 y + 12 x + 9 = 0$
41689	Find the Vertex	x^2+8x=4y-12	$x^{2} + 8 x = 4 y - 12$
41690	Find the Vertex	x^2+8x=-4y-8	$x^{2} + 8 x = - 4 y - 8$
41691	Find the Vertex	x^2-4y-12x+68=0	$x^{2} - 4 y - 12 x + 68 = 0$
41692	Find the Vertex	(x+4)^2=12(y-2)	${(x + 4)}^{2} = 12 (y - 2)$
41693	Find the Roots (Zeros)	x^3-4x^2-9x+36	$x^{3} - 4 x^{2} - 9 x + 36$
41694	Find the Roots (Zeros)	x^3-3x^2-81x-77	$x^{3} - 3 x^{2} - 81 x - 77$
41695	Find the Roots (Zeros)	3x^3-12x^2-15x	$3 x^{3} - 12 x^{2} - 15 x$
41696	Find the Roots (Zeros)	x^3+343	$x^{3} + 343$
41697	Find the Roots (Zeros)	x^2e^x-36e^x	$x^{2} e^{x} - 36 e^{x}$
41698	Identify the Polar Equation	r=5+4cos(theta)	$r = 5 + 4 \cos (θ)$
41699	Identify the Polar Equation	r=6sin(5theta)	$r = 6 \sin (5 θ)$
41700	Identify the Polar Equation	r^2=9cos(2theta)	$r^{2} = 9 \cos (2 θ)$