Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
45901	Find the Domain	y = log of x-10	$y = \log (x - 10)$
45902	Find the Domain	y=(x^3-x^2+x)/x	$y = \frac{x^{3} - x^{2} + x}{x}$
45903	Find Three Ordered Pair Solutions	f(x)=(1/3)^x	$f (x) = {(\frac{1}{3})}^{x}$
45904	Determine if Bijective (One-to-One)	(0,0) , (-6,6)	$(0, 0)$ , $(- 6, 6)$
45905	Find Three Ordered Pair Solutions	y=-x-4	$y = - x - 4$
45906	Find Three Ordered Pair Solutions	y=f(x+5)	$y = f (x + 5)$
45907	Find Where Increasing/Decreasing	f(x)=6cos(x)	$f (x) = 6 \cos (x)$
45908	Find the Sine Given the Point	(-( square root of 65)/9,-4/9)	$(- \frac{\sqrt{65}}{9}, - \frac{4}{9})$
45909	Find the Sine Given the Point	[( square root of 77)/9,2/9]	$[\frac{\sqrt{77}}{9}, \frac{2}{9}]$
45910	Find the Sine Given the Point	p=(1/2,-( square root of 3)/2)	$p = (\frac{1}{2}, - \frac{\sqrt{3}}{2})$
45911	Find the Maximum/Minimum Value	d=5sin(pi/4t)	$d = 5 \sin (\frac{π}{4} t)$
45912	Find the Maximum/Minimum Value	d=8cos((3pi)/4t)	$d = 8 \cos (\frac{3 π}{4} t)$
45913	Find the Maximum/Minimum Value	y=5sin(x)	$y = 5 \sin (x)$
45914	Find the Maximum/Minimum Value	y=cos(2x)	$y = \cos (2 x)$
45915	Find the Maximum/Minimum Value	z=6x+7y	$z = 6 x + 7 y$
45916	Find the Local Maxima and Minima	y=x^3-6x^2+11	$y = x^{3} - 6 x^{2} + 11$
45917	Find the Maximum/Minimum Value	y=3cos(2x-pi)	$y = 3 \cos (2 x - π)$
45918	Find the Maximum/Minimum Value	y=4cos(x)	$y = 4 \cos (x)$
45919	Find the Maximum/Minimum Value	y=2x^2-32x+256	$y = 2 x^{2} - 32 x + 256$
45920	Find the Domain	f(x)=x-3	$f (x) = x - 3$
45921	Find the Domain	f(x)=x^2+8	$f (x) = x^{2} + 8$
45922	Find the Domain	g(t)=sin(e^(-t))	$g (t) = \sin (e^{- t})$
45923	Find the Domain	g(x)=(9x)/(x^2-4)	$g (x) = \frac{9 x}{x^{2} - 4}$
45924	Find the Domain	g(x) = square root of 4x-1	$g (x) = \sqrt{4 x - 1}$
45925	Find the Domain	g(x)=x/(x^2+49)	$g (x) = \frac{x}{x^{2} + 49}$
45926	Find the Domain	f(x)=3 square root of x-2	$f (x) = 3 \sqrt{x - 2}$
45927	Find the Domain	f(x) = log of 2-x	$f (x) = \log (2 - x)$
45928	Find the Domain	h(x)=4 natural log of 3x+2	$h (x) = 4 \ln (3 x + 2)$
45929	Find the Domain	r(x)=(2x)/(x^2-1)	$r (x) = \frac{2 x}{x^{2} - 1}$
45930	Find the Domain	h(x)=(2x)/(x(x^2-25))	$h (x) = \frac{2 x}{x (x^{2} - 25)}$
45931	Find the Domain	h(x)=8/(x^2-2x)	$h (x) = \frac{8}{x^{2} - 2 x}$
45932	Use the Rational Roots Test to Find All Possible Roots	3x^3+4x^2-7x+2=0	$3 x^{3} + 4 x^{2} - 7 x + 2 = 0$
45933	Use the Rational Roots Test to Find All Possible Roots	x^3+x^2-4x-4=0	$x^{3} + x^{2} - 4 x - 4 = 0$
45934	Find the Domain	f(x) = log base 2 of 1-e^x	$f (x) = \log_{2} (1 - e^{x})$
45935	Find the Domain	f(x) = log base 2 of x-8	$f (x) = \log_{2} (x - 8)$
45936	Find the Domain	f(x) = natural log of 2+3x	$f (x) = \ln (2 + 3 x)$
45937	Find the Domain	f(x)=(x-3)/(x^2-2x-15)	$f (x) = \frac{x - 3}{x^{2} - 2 x - 15}$
45938	Find the Domain	f(x) = log base 2 of (x+2)(x-3)	$f (x) = \log_{2} ((x + 2) (x - 3))$
45939	Find the Domain	f(x) = log base 5 of 3-2x	$f (x) = \log_{5} (3 - 2 x)$
45940	Find the Domain	f(x) = fifth root of x^2-x-2	$f (x) = \sqrt[5]{x^{2} - x - 2}$
45941	Find the Domain	f(x)=sec(x)	$f (x) = \sec (x)$
45942	Find the Domain	f(x) = log base 5 of x^2-4	$f (x) = \log_{5} (x^{2} - 4)$
45943	Find the Domain	f(x) = log base 5 of x+1	$f (x) = \log_{5} (x + 1)$
45944	Find the Domain	f(x)=(x+6)/(x^2-1)	$f (x) = \frac{x + 6}{x^{2} - 1}$
45945	Find the Domain	f(x)=(x-4)/(x^2+8x+16)	$f (x) = \frac{x - 4}{x^{2} + 8 x + 16}$
45946	Find the Domain	f(x)=(x-5)/(x^2+10x+25)	$f (x) = \frac{x - 5}{x^{2} + 10 x + 25}$
45947	Find the Domain	f(x)=(x^2-25)/(x^2+4x-5)	$f (x) = \frac{x^{2} - 25}{x^{2} + 4 x - 5}$
45948	Find the Domain	f(x)=(x^2+x-42)/(x^2-x-30)	$f (x) = \frac{x^{2} + x - 42}{x^{2} - x - 30}$
45949	Find the Domain	f(x)=x/(x-3)	$f (x) = \frac{x}{x - 3}$
45950	Find the Domain	f(x)=(x^2)/(x-6)	$f (x) = \frac{x^{2}}{x - 6}$
45951	Find the Domain	f(x) = square root of x+11	$f (x) = \sqrt{x + 11}$
45952	Find the Domain	f(x) = square root of x+12	$f (x) = \sqrt{x + 12}$
45953	Find the Domain	f(x) = square root of 7x-5	$f (x) = \sqrt{7 x - 5}$
45954	Find the Domain	f(x) = square root of x+ square root of 10-x	$f (x) = \sqrt{x} + \sqrt{10 - x}$
45955	Find the Domain	f(x) = square root of 2x+7	$f (x) = \sqrt{2 x + 7}$
45956	Find the Domain	f(x) = square root of 6x-18	$f (x) = \sqrt{6 x - 18}$
45957	Find the Domain	f(x) = square root of 4x^2-16x	$f (x) = \sqrt{4 x^{2} - 16 x}$
45958	Find the Standard Form of the Parabola	f(x)=-x^2-4x-1	$f (x) = - x^{2} - 4 x - 1$
45959	Find the Standard Form of the Parabola	y^2-2y-8x+1=0	$y^{2} - 2 y - 8 x + 1 = 0$
45960	Find the Standard Form of the Parabola	y^2-8x-6y+17=0	$y^{2} - 8 x - 6 y + 17 = 0$
45961	Find the Standard Form of the Parabola	x^2-4x-12y-32=0	$x^{2} - 4 x - 12 y - 32 = 0$
45962	Reduce the Fraction	(2pi)/2	$\frac{2 π}{2}$
45963	Reduce the Fraction	(7pi)/4	$\frac{7 π}{4}$
45964	Find the Standard Form of the Parabola	-2x^2+24x-2y+2=0	$- 2 x^{2} + 24 x - 2 y + 2 = 0$
45965	Find the Standard Form of the Parabola	3y^2-x-2y+1=0	$3 y^{2} - x - 2 y + 1 = 0$
45966	Solve for w	-67<-2w+5+11w<50	$- 67 < - 2 w + 5 + 11 w < 50$
45967	Find the Domain	f(x)=(7x-28)/(3x+12)	$f (x) = \frac{7 x - 28}{3 x + 12}$
45968	Find the Domain	f(x)=x/( square root of x-4)	$f (x) = \frac{x}{\sqrt{x - 4}}$
45969	Find the Domain	f(x)=x/(x^2+2x-35)	$f (x) = \frac{x}{x^{2} + 2 x - 35}$
45970	Find the Domain	f(x)=(2x-4)/(4x+8)	$f (x) = \frac{2 x - 4}{4 x + 8}$
45971	Find the Domain	f(x)=2/(x^2+2x-35)	$f (x) = \frac{2}{x^{2} + 2 x - 35}$
45972	Find the Domain	f(x)=-2/(x^2-2x-35)	$f (x) = \frac{- 2}{x^{2} - 2 x - 35}$
45973	Find the Domain	f(x)=(2x)/( square root of x+4)	$f (x) = \frac{2 x}{\sqrt{x + 4}}$
45974	Find the Domain	f(x)=1/(x^2-2x+1)	$f (x) = \frac{1}{x^{2} - 2 x + 1}$
45975	Find the Domain	f(x)=1/( square root of 1-x^2)	$f (x) = \frac{1}{\sqrt{1 - x^{2}}}$
45976	Find the Domain	f(x)=1/( square root of 3x+9)	$f (x) = \frac{1}{\sqrt{3 x + 9}}$
45977	Find the Domain	f(x)=( square root of 7-x)/(x+5)	$f (x) = \frac{\sqrt{7 - x}}{x + 5}$
45978	Expand Using Pascal's Triangle	(x+3/x)^4	${(x + \frac{3}{x})}^{4}$
45979	Expand Using Pascal's Triangle	(2x+5)^3	${(2 x + 5)}^{3}$
45980	Expand Using Pascal's Triangle	(3x+1)^5	${(3 x + 1)}^{5}$
45981	Expand Using Pascal's Triangle	(3x+y^2)^5	${(3 x + y^{2})}^{5}$
45982	Expand Using Pascal's Triangle	(4a-b)^3	${(4 a - b)}^{3}$
45983	Expand Using Pascal's Triangle	(x-3y)^4	${(x - 3 y)}^{4}$
45984	Expand Using Pascal's Triangle	(x-y)^11	${(x - y)}^{11}$
45985	Solve by Addition/Elimination	x^2+y^2-7x+16y+34=0x^2+y^2+8x+16y-116=0	$x^{2} + y^{2} - 7 x + 16 y + 34 = 0 x^{2} + y^{2} + 8 x + 16 y - 116 = 0$
45986	Solve by Addition/Elimination	x^2-y^2+x+8y-28=6x^2-y^2+41x+8y+52=0	$x^{2} - y^{2} + x + 8 y - 28 = 6 x^{2} - y^{2} + 41 x + 8 y + 52 = 0$
45987	Solve by Addition/Elimination	3x-y=-5 , 5x+3y=1	$3 x - y = - 5$ , $5 x + 3 y = 1$
45988	Solve by Addition/Elimination	3x-y=5 , 5x+3y=-1	$3 x - y = 5$ , $5 x + 3 y = - 1$
45989	Rationalize the Denominator	square root of 10/7	$\sqrt{\frac{10}{7}}$
45990	Eliminate the Parameter	x=t-4 , y=t/2-5	$x = t - 4$ , $y = \frac{t}{2} - 5$
45991	Eliminate the Parameter	x=7cos(theta)^2 , y=7cos(theta)sin(theta)	$x = 7 \cos^{2} (θ)$ , $y = 7 \cos (θ) \sin (θ)$
45992	Eliminate the Parameter	x=e^(4t) , y=e^(-t)	$x = e^{4 t}$ , $y = e^{- t}$
45993	Eliminate the Parameter	x=t^2 , y=t+1	$x = t^{2}$ , $y = t + 1$
45994	Eliminate the Parameter	x(t)=3t+4 y(t)=5-t	$x (t) = 3 t + 4$ $y (t) = 5 - t$
45995	Eliminate the Parameter	x(t)=3t+4y(t)=5-t	$x (t) = 3 t + 4 y (t) = 5 - t$
45996	Eliminate the Parameter	x=2t , y=1/2t^2+1	$x = 2 t$ , $y = \frac{1}{2} t^{2} + 1$
45997	Find the Symmetry	y=x^2-5	$y = x^{2} - 5$
45998	Find the Behavior (Leading Coefficient Test)	f(x)=-8/(x+2)	$f (x) = - \frac{8}{x + 2}$
45999	Find the Expanded Form	((x-4)^2)/16-((y+3)^2)/4=1	$\frac{{(x - 4)}^{2}}{16} - \frac{{(y + 3)}^{2}}{4} = 1$
46000	Find the Expanded Form	((x-5)^2)/16+(y^2)/1=1	$\frac{{(x - 5)}^{2}}{16} + \frac{y^{2}}{1} = 1$