Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
61901	Find the Second Derivative	y=x(x-4)^3	$y = x {(x - 4)}^{3}$
61902	Write in Exponential Form	fourth root of x^3	$\sqrt[4]{x^{3}}$
61903	Write in Exponential Form	log base x of y=z	$\log_{x} (y) = z$
61904	Find the Absolute Max and Min over the Interval	f(x)=4x^3-6x^2-144x+5 , [-4,5]	$f (x) = 4 x^{3} - 6 x^{2} - 144 x + 5$ , $[- 4, 5]$
61905	Find the Absolute Max and Min over the Interval	f(x)=6x^3-9x^2-216x+7 , [-4,5]	$f (x) = 6 x^{3} - 9 x^{2} - 216 x + 7$ , $[- 4, 5]$
61906	Find the Absolute Max and Min over the Interval	f(x)=6x^4-32x^3-27x^2+216x+29 ; [-5,5]	$f (x) = 6 x^{4} - 32 x^{3} - 27 x^{2} + 216 x + 29$ ; $[- 5, 5]$
61907	Find the Absolute Max and Min over the Interval	f(x)=e^x-x , -2<=x<=2	$f (x) = e^{x} - x$ , $- 2 \leq x \leq 2$
61908	Find the Vertex Form	f(x)=2x^2-12x+23	$f (x) = 2 x^{2} - 12 x + 23$
61909	Find the Concavity	x/(x^2+16)	$\frac{x}{x^{2} + 16}$
61910	Find the Concavity	x square root of 15-x	$x \sqrt{15 - x}$
61911	Find the Concavity	7 square root of xe^(-x)	$7 \sqrt{x} e^{- x}$
61912	Find the Concavity	5x^4-50x^3-15	$5 x^{4} - 50 x^{3} - 15$
61913	Find the Concavity	5x^(2/3)-2x^(5/3)	$5 x^{\frac{2}{3}} - 2 x^{\frac{5}{3}}$
61914	Find the Concavity	e^(-0.5x^2)	$e^{- 0.5 x^{2}}$
61915	Find the Concavity	e^(-3.5x^2)	$e^{- 3.5 x^{2}}$
61916	Find the Concavity	square root of x^2+2-x	$\sqrt{x^{2} + 2} - x$
61917	Find the Concavity	3t^5+10t^4-30t^3+110	$3 t^{5} + 10 t^{4} - 30 t^{3} + 110$
61918	Find the Concavity	4x^3+3x^2-6x+1	$4 x^{3} + 3 x^{2} - 6 x + 1$
61919	Find the Average Rate of Change	y=-3x^2-x , (5,6)	$y = - 3 x^{2} - x$ , $(5, 6)$
61920	Find the Concavity	x^2-7x-8	$x^{2} - 7 x - 8$
61921	Find the Concavity	x^3-6x^2+9x	$x^{3} - 6 x^{2} + 9 x$
61922	Find Amplitude, Period, and Phase Shift	y=1/3tan(x)	$y = \frac{1}{3} \tan (x)$
61923	Find the x and y Intercepts	r=7+3cos(theta)	$r = 7 + 3 \cos (θ)$
61924	Find the x and y Intercepts	y=2x^2-4x	$y = 2 x^{2} - 4 x$
61925	Find the x and y Intercepts	y=-2x^2+16x-24	$y = - 2 x^{2} + 16 x - 24$
61926	Find the x and y Intercepts	y=121-x^2	$y = 121 - x^{2}$
61927	Find the x and y Intercepts	y=12-3x^2	$y = 12 - 3 x^{2}$
61928	Write in Standard Form	x^2+y^2-2x=0	$x^{2} + y^{2} - 2 x = 0$
61929	Write in Standard Form	9x^2+25y^2-90x+50y+25=0	$9 x^{2} + 25 y^{2} - 90 x + 50 y + 25 = 0$
61930	Write in Standard Form	x^2+(y-3)^2=9	$x^{2} + {(y - 3)}^{2} = 9$
61931	Write in Standard Form	-2y^2+x-20y-49=0	$- 2 y^{2} + x - 20 y - 49 = 0$
61932	Write in Standard Form	4x^2+9y^2-16x+18y-11=0	$4 x^{2} + 9 y^{2} - 16 x + 18 y - 11 = 0$
61933	Write in Standard Form	4x^2-25y^2-8x-100y-196=0	$4 x^{2} - 25 y^{2} - 8 x - 100 y - 196 = 0$
61934	Write in Standard Form	y^2-x^2+6x-4y=6	$y^{2} - x^{2} + 6 x - 4 y = 6$
61935	Write in Standard Form	x^2+y^2=64	$x^{2} + y^{2} = 64$
61936	Write in Standard Form	x^2-y^2-8x-8y-1=0	$x^{2} - y^{2} - 8 x - 8 y - 1 = 0$
61937	Find the Domain and Range	f(x)=4^x-3	$f (x) = 4^{x} - 3$
61938	Find the Domain and Range	f(x)=6x-3	$f (x) = 6 x - 3$
61939	Find the Domain and Range	f(x)=2x^2-4x-2	$f (x) = 2 x^{2} - 4 x - 2$
61940	Find the Domain and Range	f(x)=5-x^2	$f (x) = 5 - x^{2}$
61941	Find Where Increasing/Decreasing Using Derivatives	y=-x^3+6x^2-9x+3	$y = - x^{3} + 6 x^{2} - 9 x + 3$
61942	Find the Domain and Range	g(x)=1/x	$g (x) = \frac{1}{x}$
61943	Find the Domain and Range	g(t) = square root of 4-7t	$g (t) = \sqrt{4 - 7 t}$
61944	Find the Domain and Range	g(t)=3/( square root of t)	$g (t) = \frac{3}{\sqrt{t}}$
61945	Find the Domain and Range	g(x) = log base 3 of x-2	$g (x) = \log_{3} (x - 2)$
61946	Find the Domain and Range	f(x)=x^5-2	$f (x) = x^{5} - 2$
61947	Find Where Increasing/Decreasing Using Derivatives	y=x^3e^(2x)	$y = x^{3} e^{2 x}$
61948	Find the Vertices	((x-2)^2)/9+((y+3)^2)/4=1	$\frac{{(x - 2)}^{2}}{9} + \frac{{(y + 3)}^{2}}{4} = 1$
61949	Find the Vertices	(x^2)/9+(y^2)/49=1	$\frac{x^{2}}{9} + \frac{y^{2}}{49} = 1$
61950	Find the Vertices	(x^2)/64+(y^2)/36=1	$\frac{x^{2}}{64} + \frac{y^{2}}{36} = 1$
61951	Find the Vertices	(x^2)/81+(y^2)/64=1	$\frac{x^{2}}{81} + \frac{y^{2}}{64} = 1$
61952	Find the Vertices	(x^2)/36-(y^2)/25=1	$\frac{x^{2}}{36} - \frac{y^{2}}{25} = 1$
61953	Find the Vertices	(x^2)/16+(y^2)/12=1	$\frac{x^{2}}{16} + \frac{y^{2}}{12} = 1$
61954	Find the Vertices	9y^2-4x^2=36	$9 y^{2} - 4 x^{2} = 36$
61955	Find the Vertices	4x^2+y^2=36	$4 x^{2} + y^{2} = 36$
61956	Find the Vertices	4x^2+y^2=4	$4 x^{2} + y^{2} = 4$
61957	Find the Vertices	3x^2+4y^2=12	$3 x^{2} + 4 y^{2} = 12$
61958	Convert to Rectangular Coordinates	(4,150 degrees )	$(4, 150 °)$
61959	Convert to Rectangular Coordinates	(4,70 degrees )	$(4, 70 °)$
61960	Convert to Rectangular Coordinates	(-3,30 degrees )	$(- 3, 30 °)$
61961	Convert to Rectangular Coordinates	(3 square root of 2,pi/4)	$(3 \sqrt{2}, \frac{π}{4})$
61962	Convert to Rectangular Coordinates	(-5,120 degrees )	$(- 5, 120 °)$
61963	Convert to Rectangular Coordinates	(6,pi/4)	$(6, \frac{π}{4})$
61964	Convert to Rectangular Coordinates	(-5,-(2pi)/3)	$(- 5, - \frac{2 π}{3})$
61965	Convert to Rectangular Coordinates	(5,(11pi)/6)	$(5, \frac{11 π}{6})$
61966	Convert to Rectangular Coordinates	(- square root of 5,153.4 degrees )	$(- \sqrt{5}, 153.4 °)$
61967	Convert to Rectangular Coordinates	(1,1/2pi)	$(1, \frac{1}{2} π)$
61968	Convert to Rectangular Coordinates	(2,0 degrees )	$(2, 0 °)$
61969	Convert to Rectangular Coordinates	(3,-pi/2)	$(3, - \frac{π}{2})$
61970	Convert to Rectangular Coordinates	(7,(5pi)/4)	$(7, \frac{5 π}{4})$
61971	Convert to Rectangular Coordinates	(7,(5pi)/6)	$(7, \frac{5 π}{6})$
61972	Convert to Rectangular Coordinates	(7,pi/2)	$(7, \frac{π}{2})$
61973	Convert to Rectangular Coordinates	(8,pi/4)	$(8, \frac{π}{4})$
61974	Convert to Rectangular Coordinates	(9,150 degrees )	$(9, 150 °)$
61975	Solve by Completing the Square	2x^2-11x=5	$2 x^{2} - 11 x = 5$
61976	Write as an Equation	sum from n-1 to 4 of (a-n)^2	$\sum_{n - 1}^{4} {(a - n)}^{2}$
61977	Find the Maximum/Minimum Value	x^4-2x^2+3	$x^{4} - 2 x^{2} + 3$
61978	Find the Maximum/Minimum Value	x^4-32x^2+256	$x^{4} - 32 x^{2} + 256$
61979	Find the Maximum/Minimum Value	x^2-x-2	$x^{2} - x - 2$
61980	Find the Maximum/Minimum Value	x square root of 49-x^2	$x \sqrt{49 - x^{2}}$
61981	Find the Maximum/Minimum Value	-x^2+10x-21	$- x^{2} + 10 x - 21$
61982	Find the Maximum/Minimum Value	x^2-10x	$x^{2} - 10 x$
61983	Find the Maximum/Minimum Value	x^2-10x-6	$x^{2} - 10 x - 6$
61984	Find the Maximum/Minimum Value	9x^3-54x^2+81x+13	$9 x^{3} - 54 x^{2} + 81 x + 13$
61985	Find the Maximum/Minimum Value	e^x-2x	$e^{x} - 2 x$
61986	Find the Maximum/Minimum Value	5+54x-2x^3	$5 + 54 x - 2 x^{3}$
61987	Find the Asymptotes	f(x)=3/(x-7)	$f (x) = \frac{3}{x - 7}$
61988	Find the Asymptotes	f(x)=(3x^3+5x)/(4x^4+10x^3+2)	$f (x) = \frac{3 x^{3} + 5 x}{4 x^{4} + 10 x^{3} + 2}$
61989	Find the Asymptotes	f(x)=(4x)/(x^2-9)	$f (x) = \frac{4 x}{x^{2} - 9}$
61990	Find the Asymptotes	f(x)=(4x+3)/(2x-1)	$f (x) = \frac{4 x + 3}{2 x - 1}$
61991	Find the Asymptotes	f(x)=( square root of 9x^2+2x+14-5)/(x-1)	$f (x) = \frac{\sqrt{9 x^{2} + 2 x + 14} - 5}{x - 1}$
61992	Find the Asymptotes	f(x)=(2x^2+5x-25)/(2x^2-5x-3)	$f (x) = \frac{2 x^{2} + 5 x - 25}{2 x^{2} - 5 x - 3}$
61993	Find the Asymptotes	R(x)=(14x+14)/(5x+15)	$R (x) = \frac{14 x + 14}{5 x + 15}$
61994	Find the Asymptotes	f(x)=x/(2x-5)	$f (x) = \frac{x}{2 x - 5}$
61995	Find the Asymptotes	f(x)=(x^2-4x-12)/(x^2-8x+12)	$f (x) = \frac{x^{2} - 4 x - 12}{x^{2} - 8 x + 12}$
61996	Find the Asymptotes	f(x)=(x^2-25)/(5x-25)	$f (x) = \frac{x^{2} - 25}{5 x - 25}$
61997	Find the Average Value of the Function	y=2e^(-x) ; [0,6]	$y = 2 e^{- x}$ ; $[0, 6]$
61998	Find the Average Value of the Function	y=6e^(-x) ; [0,5]	$y = 6 e^{- x}$ ; $[0, 5]$
61999	Find the Average Value of the Function	g(t)=e^t , [0,7]	$g (t) = e^{t}$ , $[0, 7]$
62000	Find the Average Value of the Function	f(x)=-cos(x) ; [-pi/2,pi/2]	$f (x) = - \cos (x)$ ; $[- \frac{π}{2}, \frac{π}{2}]$