Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
62801	Find the Asymptotes	f(x)=(6x+5)/(7x-9)	$f (x) = \frac{6 x + 5}{7 x - 9}$
62802	Find the Asymptotes	f(x)=(5x)/(x+4)	$f (x) = \frac{5 x}{x + 4}$
62803	Find the Asymptotes	f(x)=(4x)/(x-1)	$f (x) = \frac{4 x}{x - 1}$
62804	Find the Asymptotes	f(x)=(-4x)/(-5x-5)	$f (x) = \frac{- 4 x}{- 5 x - 5}$
62805	Find the Asymptotes	f(x)=3/(x+4)	$f (x) = \frac{3}{x + 4}$
62806	Find the Asymptotes	f(x)=(2x^3-16x^2+7x-36)/(2x^2+5)	$f (x) = \frac{2 x^{3} - 16 x^{2} + 7 x - 36}{2 x^{2} + 5}$
62807	Find the Maximum/Minimum Value	(e^x)/x	$\frac{e^{x}}{x}$
62808	Find the Maximum/Minimum Value	x/(16+x^2)	$\frac{x}{16 + x^{2}}$
62809	Find the Maximum/Minimum Value	x square root of 1-x^2	$x \sqrt{1 - x^{2}}$
62810	Find the Maximum/Minimum Value	-3x^4-8x^3-6x^2+1	$- 3 x^{4} - 8 x^{3} - 6 x^{2} + 1$
62811	Find the Maximum/Minimum Value	x^2-8x+1	$x^{2} - 8 x + 1$
62812	Find the Maximum/Minimum Value	x^2-8x+12	$x^{2} - 8 x + 12$
62813	Find the Maximum/Minimum Value	x square root of 9-x^2	$x \sqrt{9 - x^{2}}$
62814	Find the Maximum/Minimum Value	x^3-12x+7	$x^{3} - 12 x + 7$
62815	Find the Maximum/Minimum Value	x+16/x	$x + \frac{16}{x}$
62816	Find the Maximum/Minimum Value	x natural log of x	$x \ln (x)$
62817	Find the Maximum/Minimum Value	x+e^(-4x)	$x + e^{- 4 x}$
62818	Solve by Completing the Square	x^2-10x+8=0	$x^{2} - 10 x + 8 = 0$
62819	Solve by Completing the Square	25x^2-20x=1	$25 x^{2} - 20 x = 1$
62820	Convert to Rectangular Coordinates	(9,pi/6)	$(9, \frac{π}{6})$
62821	Convert to Rectangular Coordinates	(-8,(7pi)/6)	$(- 8, \frac{7 π}{6})$
62822	Convert to Rectangular Coordinates	(8,3/2pi)	$(8, \frac{3}{2} π)$
62823	Convert to Rectangular Coordinates	(7,(3pi)/4)	$(7, \frac{3 π}{4})$
62824	Convert to Rectangular Coordinates	(-3,1/2pi)	$(- 3, \frac{1}{2} π)$
62825	Convert to Rectangular Coordinates	(2,90 degrees )	$(2, 90 °)$
62826	Convert to Rectangular Coordinates	(-1,(7pi)/4)	$(- 1, \frac{7 π}{4})$
62827	Convert to Rectangular Coordinates	(-1,-(7pi)/6)	$(- 1, - \frac{7 π}{6})$
62828	Convert to Rectangular Coordinates	(-1,pi/6)	$(- 1, \frac{π}{6})$
62829	Convert to Rectangular Coordinates	(0,pi/3)	$(0, \frac{π}{3})$
62830	Find the LCD	8/35 , 1/21	$\frac{8}{35}$ , $\frac{1}{21}$
62831	Convert to Rectangular Coordinates	(2/3,-(2pi)/3)	$(\frac{2}{3}, - \frac{2 π}{3})$
62832	Convert to Rectangular Coordinates	(6,90 degrees )	$(6, 90 °)$
62833	Convert to Rectangular Coordinates	(-6,(3pi)/4)	$(- 6, \frac{3 π}{4})$
62834	Convert to Rectangular Coordinates	(5,60 degrees )	$(5, 60 °)$
62835	Convert to Rectangular Coordinates	(3,30 degrees )	$(3, 30 °)$
62836	Convert to Rectangular Coordinates	(4,180 degrees )	$(4, 180 °)$
62837	Find the Vertices	16x^2+y^2=16	$16 x^{2} + y^{2} = 16$
62838	Find the Vertices	(y^2)/36-(x^2)/196=1	$\frac{y^{2}}{36} - \frac{x^{2}}{196} = 1$
62839	Find the Vertices	x^2+y^2=25	$x^{2} + y^{2} = 25$
62840	Find the Vertices	(x^2)/36+(y^2)/27=1	$\frac{x^{2}}{36} + \frac{y^{2}}{27} = 1$
62841	Find the Vertices	(x^2)/36+(y^2)/9=1	$\frac{x^{2}}{36} + \frac{y^{2}}{9} = 1$
62842	Find the Vertices	(x^2)/64-(y^2)/4=1	$\frac{x^{2}}{64} - \frac{y^{2}}{4} = 1$
62843	Find the Vertices	(x^2)/49+(y^2)/9=1	$\frac{x^{2}}{49} + \frac{y^{2}}{9} = 1$
62844	Find the Vertices	((x+4)^2)/36-((y-1)^2)/25=1	$\frac{{(x + 4)}^{2}}{36} - \frac{{(y - 1)}^{2}}{25} = 1$
62845	Find the Vertices	((x-5)^2)/81-((y-1)^2)/144=1	$\frac{{(x - 5)}^{2}}{81} - \frac{{(y - 1)}^{2}}{144} = 1$
62846	Find the Vertices	(x^2)/100+(y^2)/36=1	$\frac{x^{2}}{100} + \frac{y^{2}}{36} = 1$
62847	Find Where Increasing/Decreasing Using Derivatives	y=x^3-5x^2-8x+8	$y = x^{3} - 5 x^{2} - 8 x + 8$
62848	Find the Domain and Range	g(x) = log base 4 of x+1	$g (x) = \log_{4} (x + 1)$
62849	Find the Domain and Range	g(t)=5/( square root of t)	$g (t) = \frac{5}{\sqrt{t}}$
62850	Find the Domain and Range	g(x)=2^(x-3)	$g (x) = 2^{x - 3}$
62851	Find the Domain and Range	g(x) = log base 4 of x+3	$g (x) = \log_{4} (x + 3)$
62852	Find the Domain and Range	g(z)=-9/( square root of z+1)	$g (z) = \frac{- 9}{\sqrt{z + 1}}$
62853	Find Where Increasing/Decreasing Using Derivatives	y=x^3-2x^2-4x+4	$y = x^{3} - 2 x^{2} - 4 x + 4$
62854	Find Where Increasing/Decreasing Using Derivatives	y=6x^3+9x^2	$y = 6 x^{3} + 9 x^{2}$
62855	Find the Domain and Range	f(x)=x^2-12x+32	$f (x) = x^{2} - 12 x + 32$
62856	Find the Domain and Range	f(x) = natural log of x+6	$f (x) = \ln (x + 6)$
62857	Find the Domain and Range	f(x) = square root of 64-x^2	$f (x) = \sqrt{64 - x^{2}}$
62858	Write in Standard Form	x^2-y^2-2x-8y-16=0	$x^{2} - y^{2} - 2 x - 8 y - 16 = 0$
62859	Write in Standard Form	x^2-4y^2-2x-8y=7	$x^{2} - 4 y^{2} - 2 x - 8 y = 7$
62860	Write in Standard Form	y=1/3x-5	$y = \frac{1}{3} x - 5$
62861	Find the Domain and Range	f(x)=1/( square root of x)	$f (x) = \frac{1}{\sqrt{x}}$
62862	Write in Standard Form	9x^2+16y^2-18x+64y-71=0	$9 x^{2} + 16 y^{2} - 18 x + 64 y - 71 = 0$
62863	Write in Standard Form	9x^2+9y^2+54x-36y+17=0	$9 x^{2} + 9 y^{2} + 54 x - 36 y + 17 = 0$
62864	Write in Standard Form	16x^2+4y^2-160x-24y+372=0	$16 x^{2} + 4 y^{2} - 160 x - 24 y + 372 = 0$
62865	Write in Standard Form	2x^2+2y^2+12x-8y+24=0	$2 x^{2} + 2 y^{2} + 12 x - 8 y + 24 = 0$
62866	Write in Standard Form	x^2+2y^2-2x-4y=1	$x^{2} + 2 y^{2} - 2 x - 4 y = 1$
62867	Write in Standard Form	9x^2+36y^2=36	$9 x^{2} + 36 y^{2} = 36$
62868	Write in Standard Form	x^2+y^2-2x-4y-31=0	$x^{2} + y^{2} - 2 x - 4 y - 31 = 0$
62869	Write in Exponential Form	seventh root of x^3	$\sqrt[7]{x^{3}}$
62870	Write in Exponential Form	log of 5 1/25=-2	$\log (5 \frac{1}{25}) = - 2$
62871	Write in Exponential Form	3 = log base b of 125	$3 = \log_{b} (125)$
62872	Write in Exponential Form	log base square root of 5 of 25=4	$\log_{\sqrt{5}} (25) = 4$
62873	Write in Exponential Form	log base square root of 5 of 625=8	$\log_{\sqrt{5}} (625) = 8$
62874	Find the Second Derivative	y=x^4-2x^2	$y = x^{4} - 2 x^{2}$
62875	Find the Second Derivative	y=x^4e^x	$y = x^{4} e^{x}$
62876	Find the Degree	cos(theta)=11/61	$\cos (θ) = \frac{11}{61}$
62877	Find the Second Derivative	y^2=x^2+2x	$y^{2} = x^{2} + 2 x$
62878	Find the Second Derivative	xy+2e^y=2e	$x y + 2 e^{y} = 2 e$
62879	Find the Second Derivative	w=2z^2e^z	$w = 2 z^{2} e^{z}$
62880	Find the Second Derivative	x^4+y^4=16	$x^{4} + y^{4} = 16$
62881	Find the Second Derivative	6 square root of y=x-5y	$6 \sqrt{y} = x - 5 y$
62882	Find the Second Derivative	y'=x(x^2-6)	$y' = x (x^{2} - 6)$
62883	Find the Second Derivative	y=sec(x)	$y = \sec (x)$
62884	Find the Second Derivative	y'=6+x-x^2	$y' = 6 + x - x^{2}$
62885	Find the Second Derivative	y=cot(x)	$y = \cot (x)$
62886	Find the Second Derivative	y=2sin(x)	$y = 2 \sin (x)$
62887	Find the Second Derivative	y=2x^3-7x^2+3	$y = 2 x^{3} - 7 x^{2} + 3$
62888	Find the Second Derivative	y=(x^2-8x+37)/(x-6)	$y = \frac{x^{2} - 8 x + 37}{x - 6}$
62889	Find the Second Derivative	y=(x^3)/3-2x^2-12x	$y = \frac{x^{3}}{3} - 2 x^{2} - 12 x$
62890	Find the Second Derivative	y=(7x^5)/5-3x	$y = \frac{7 x^{5}}{5} - 3 x$
62891	Find the Second Derivative	y=(x^3)/3-x^2-3x	$y = \frac{x^{3}}{3} - x^{2} - 3 x$
62892	Expand Using Pascal's Triangle	(3a-b)^4	${(3 a - b)}^{4}$
62893	Find the Tangent Line at the Point	xy^3-x^5y^2=-4 ; (-1,2)	$x y^{3} - x^{5} y^{2} = - 4$ ; $(- 1, 2)$
62894	Find the Tangent Line at the Point	8x-y^2=23y ; (3,1)	$8 x - y^{2} = 23 y$ ; $(3, 1)$
62895	Solve by Addition/Elimination	8x-2y=8y-2x , 8x+2x=8y+2y	$8 x - 2 y = 8 y - 2 x$ , $8 x + 2 x = 8 y + 2 y$
62896	Expand Using Pascal's Triangle	(x+h)^4	${(x + h)}^{4}$
62897	Expand Using Pascal's Triangle	(x-1)^4	${(x - 1)}^{4}$
62898	Find the Domain and Range	x^2-2x-15	$x^{2} - 2 x - 15$
62899	Find the Domain and Range	x^5-2	$x^{5} - 2$
62900	Find the Concavity	y=2/(4-x)	$y = \frac{2}{4 - x}$