Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
46601	Find the Domain	x/(9x+64)	$\frac{x}{9 x + 64}$
46602	Find the Domain	(81-e^(x^2))/(1-e^(81-x^2))	$\frac{(81 - e^{x^{2}})}{1 - e^{81 - x^{2}}}$
46603	Find the Domain	-16/((3+t)^2)	$- \frac{16}{{(3 + t)}^{2}}$
46604	Find the Domain	(e^x)/((1-e^x)^2)	$\frac{e^{x}}{{(1 - e^{x})}^{2}}$
46605	Find the Domain	x^8 natural log of x	$x^{8} \ln (x)$
46606	Find the Domain	(x-6)^(1/2)	${(x - 6)}^{\frac{1}{2}}$
46607	Find the Domain	82/((9x-1)^2)	$\frac{82}{{(9 x - 1)}^{2}}$
46608	Find the Domain	natural log of 9-x^2-9y^2	$\ln (9 - x^{2} - 9 y^{2})$
46609	Find Amplitude, Period, and Phase Shift	cos(x-pi/6)	$\cos (x - \frac{π}{6})$
46610	Find Where Undefined/Discontinuous	f(x)=(2x^2+4x-6)/(x^2+4x+3)	$f (x) = \frac{2 x^{2} + 4 x - 6}{x^{2} + 4 x + 3}$
46611	Find Where Undefined/Discontinuous	f(x)=(5x-1)/(x-6)	$f (x) = \frac{5 x - 1}{x - 6}$
46612	Find Where Undefined/Discontinuous	f(x)=(4+x)/(x(x-8))	$f (x) = \frac{4 + x}{x (x - 8)}$
46613	Eliminate the Parameter	x=t^3 , y=3t	$x = t^{3}$ , $y = 3 t$
46614	Rationalize the Denominator	( square root of 11- square root of 5)/( square root of 11+ square root of 5)	$\frac{\sqrt{11} - \sqrt{5}}{\sqrt{11} + \sqrt{5}}$
46615	Rationalize the Denominator	4/(8- square root of 7)	$\frac{4}{8 - \sqrt{7}}$
46616	Find the Domain	f(x)=(2x^3-5)/(x^2+x-6)	$f (x) = \frac{2 x^{3} - 5}{x^{2} + x - 6}$
46617	Find the Domain	f(x) = natural log of e^x-4	$f (x) = \ln (e^{x} - 4)$
46618	Find the Domain	f(x)=x+ square root of x+3	$f (x) = x + \sqrt{x} + 3$
46619	Find the Domain	f(x) = cube root of 9-x	$f (x) = \sqrt[3]{9 - x}$
46620	Find the Domain	f(x) = square root of x-18	$f (x) = \sqrt{x - 18}$
46621	Find the Domain	g(t)=(1-3t)/(4+t)	$g (t) = \frac{1 - 3 t}{4 + t}$
46622	Find the Domain	f(x) = cube root of 8-x	$f (x) = \sqrt[3]{8 - x}$
46623	Find the Domain	g(x)=x/(x^2+12x+20)	$g (x) = \frac{x}{x^{2} + 12 x + 20}$
46624	Find the Domain	g(x)=( square root of x)/(3x^2+2x-1)	$g (x) = \frac{\sqrt{x}}{3 x^{2} + 2 x - 1}$
46625	Find the Domain	f(x)=(x-8)/(x^2-64)	$f (x) = \frac{x - 8}{x^{2} - 64}$
46626	Write in y=mx+b Form	y-9=12(x-1)	$y - 9 = 12 (x - 1)$
46627	Write in y=mx+b Form	x-4y=8	$x - 4 y = 8$
46628	Write in y=mx+b Form	y-9=9(x-0)	$y - 9 = 9 (x - 0)$
46629	Write in y=mx+b Form	y-1=1(x-1)	$y - 1 = 1 (x - 1)$
46630	Write in y=mx+b Form	y-1=-11/10(x-2)	$y - 1 = - \frac{11}{10} (x - 2)$
46631	Write in y=mx+b Form	y-2 square root of 3/3=2/3(x-pi/6)	$y - 2 \sqrt{\frac{3}{3}} = \frac{2}{3} (x - \frac{π}{6})$
46632	Write in y=mx+b Form	y-4=3/8(x-3)	$y - 4 = \frac{3}{8} (x - 3)$
46633	Write in y=mx+b Form	y-8=5/8(x-5)	$y - 8 = \frac{5}{8} (x - 5)$
46634	Write in y=mx+b Form	Y-1=-11/10(X-2)	$Y - 1 = - \frac{11}{10} (X - 2)$
46635	Find the Critical Points	f(x)=(16x)/(x^2+64)	$f (x) = \frac{16 x}{x^{2} + 64}$
46636	Find the Critical Points	f(x)=1/3x^3-5x^2+25x-3	$f (x) = \frac{1}{3} x^{3} - 5 x^{2} + 25 x - 3$
46637	Find the Critical Points	f(x)=-x^3+27x-55	$f (x) = - x^{3} + 27 x - 55$
46638	Find the Critical Points	f(x)=x^3-5x^2-8x+3	$f (x) = x^{3} - 5 x^{2} - 8 x + 3$
46639	Find the Critical Points	f(x)=x^3+12x+9	$f (x) = x^{3} + 12 x + 9$
46640	Find the Critical Points	f(x)=x^3-27x+57	$f (x) = x^{3} - 27 x + 57$
46641	Find the Critical Points	f(x)=12x-2x^2	$f (x) = 12 x - 2 x^{2}$
46642	Find the Critical Points	f(x)=32x-8x^2	$f (x) = 32 x - 8 x^{2}$
46643	Find the Critical Points	f(x)=3/(x+7)	$f (x) = \frac{3}{x + 7}$
46644	Find the Critical Points	f(x)=3-x^(2/3)	$f (x) = 3 - x^{\frac{2}{3}}$
46645	Find the Critical Points	f(x)=-5x^2+20x	$f (x) = - 5 x^{2} + 20 x$
46646	Find the Critical Points	f(x)=5x-60x^(1/3)	$f (x) = 5 x - 60 x^{\frac{1}{3}}$
46647	Find the Critical Points	f(x)=-3x^2+24x	$f (x) = - 3 x^{2} + 24 x$
46648	Find the Critical Points	f(x)=x^3-27x+45	$f (x) = x^{3} - 27 x + 45$
46649	Find the Critical Points	f(x)=2x^3+6x^2-18x+10	$f (x) = 2 x^{3} + 6 x^{2} - 18 x + 10$
46650	Find the Other Trig Values in Quadrant III	cos(theta)=-5/8	$\cos (θ) = - \frac{5}{8}$
46651	Find the Other Trig Values in Quadrant III	cos(theta)=-1/3	$\cos (θ) = - \frac{1}{3}$
46652	Find the Other Trig Values in Quadrant IV	sin(theta)=-8/17	$\sin (θ) = - \frac{8}{17}$
46653	Find the Other Trig Values in Quadrant IV	sin(x)+cos(x)=0	$\sin (x) + \cos (x) = 0$
46654	Find the Other Trig Values in Quadrant III	sin(theta)=-8/17	$\sin (θ) = - \frac{8}{17}$
46655	Find the Other Trig Values in Quadrant II	sin(theta)=( square root of 3)/5	$\sin (θ) = \frac{\sqrt{3}}{5}$
46656	Find the Other Trig Values in Quadrant II	sin(x)+cos(x)=0	$\sin (x) + \cos (x) = 0$
46657	Find the Other Trig Values in Quadrant II	sin(theta)=40/41	$\sin (θ) = \frac{40}{41}$
46658	Find the Critical Points	f(x)=x^3+15x^2+75x-4	$f (x) = x^{3} + 15 x^{2} + 75 x - 4$
46659	Find the Critical Points	f(x)=x^3-8x^2	$f (x) = x^{3} - 8 x^{2}$
46660	Find the Critical Points	f(x)=4x^4-8x^2-2	$f (x) = 4 x^{4} - 8 x^{2} - 2$
46661	Find the Critical Points	f(x)=3x^4-6x^2+1	$f (x) = 3 x^{4} - 6 x^{2} + 1$
46662	Find the Critical Points	f(x)=x^4e^(-8x)	$f (x) = x^{4} e^{- 8 x}$
46663	Find the Critical Points	f(x)=x^2+250/x	$f (x) = x^{2} + \frac{250}{x}$
46664	Find the Critical Points	f(x)=x^3+9x^2-21x+3	$f (x) = x^{3} + 9 x^{2} - 21 x + 3$
46665	Find the Critical Points	f(x)=cos(3x)	$f (x) = \cos (3 x)$
46666	Find the Critical Points	f(x)=1-x^(3/2)	$f (x) = 1 - x^{\frac{3}{2}}$
46667	Find the Critical Points	f(x)=x^3-27x+48	$f (x) = x^{3} - 27 x + 48$
46668	Find the Critical Points	f(x)=-64x^3+12x+4	$f (x) = - 64 x^{3} + 12 x + 4$
46669	Find the Critical Points	f(x)=x^3-3x^2+3x+1	$f (x) = x^{3} - 3 x^{2} + 3 x + 1$
46670	Find the Critical Points	f(x)=x^5e^(-8x)	$f (x) = x^{5} e^{- 8 x}$
46671	Find the Critical Points	f(x)=x^5e^(-7x)	$f (x) = x^{5} e^{- 7 x}$
46672	Find the Critical Points	f(x)=x^2 natural log of 3x+6	$f (x) = x^{2} \ln (3 x) + 6$
46673	Find the Critical Points	f(x)=4x^2+2x+1	$f (x) = 4 x^{2} + 2 x + 1$
46674	Find the Critical Points	f(x)=x^4-4x+4	$f (x) = x^{4} - 4 x + 4$
46675	Find the Critical Points	f(x)=x(12-x)^3	$f (x) = x {(12 - x)}^{3}$
46676	Find the Critical Points	f(x)=2x^3-27x^2+84x-9	$f (x) = 2 x^{3} - 27 x^{2} + 84 x - 9$
46677	Find the Critical Points	f(x)=8x^3-54x^2-672x+1	$f (x) = 8 x^{3} - 54 x^{2} - 672 x + 1$
46678	Find the Critical Points	f(x)=5+3x-x^2	$f (x) = 5 + 3 x - x^{2}$
46679	Find the Critical Points	g(x)=(30x)/(x^2+9)	$g (x) = \frac{30 x}{x^{2} + 9}$
46680	Find the Critical Points	f(x)=-x^3+27x+920	$f (x) = - x^{3} + 27 x + 920$
46681	Find the Critical Points	h(x)=(e^(2x))/(x-3)	$h (x) = \frac{e^{2 x}}{x - 3}$
46682	Find the Critical Points	f(x) = square root of x natural log of x	$f (x) = \sqrt{x} \ln (x)$
46683	Find the Critical Points	f(x)=x^3-9x^2+10	$f (x) = x^{3} - 9 x^{2} + 10$
46684	Find the Critical Points	f(x)=42x-7x^2	$f (x) = 42 x - 7 x^{2}$
46685	Find the Other Trig Values in Quadrant I	sin(theta)=40/41	$\sin (θ) = \frac{40}{41}$
46686	Find the Other Trig Values in Quadrant I	sin(pi/12)	$\sin (\frac{π}{12})$
46687	Find the Slope	y=(5x-8)/2	$y = \frac{5 x - 8}{2}$
46688	Write as a Single Logarithm	1/2 natural log of x+8 natural log of y-5 natural log of z	$\frac{1}{2} \ln (x) + 8 \ln (y) - 5 \ln (z)$
46689	Find the Concavity	f(x)=x^3-9x^2+22x-12	$f (x) = x^{3} - 9 x^{2} + 22 x - 12$
46690	Find the Derivative of the Integral	y=(tan(x))/(1+cos(x))	$y = \frac{\tan (x)}{1 + \cos (x)}$
46691	Find the Derivative of the Integral	(d^86)/(dx^86)(sin(x))	$\frac{d^{86}}{d x^{86}} (\sin (x))$
46692	Find the Derivative of the Integral	y=sin(x^2)	$y = \sin (x^{2})$
46693	Find the Derivative of the Integral	y=x^(5sin(x))	$y = x^{5 \sin (x)}$
46694	Find the Derivative of the Integral	y=sin(x)tan(x)	$y = \sin (x) \tan (x)$
46695	Find the Derivative of the Integral	(d^99)/(dx^99)(sin(x))	$\frac{d^{99}}{d x^{99}} (\sin (x))$
46696	Find the Derivative of the Integral	(d^119)/(dx^119)(sin(x))	$\frac{d^{119}}{d x^{119}} (\sin (x))$
46697	Identify the Sequence	15 , 30 , 60 , 120	$15$ , $30$ , $60$ , $120$
46698	Find the Slope	x-2y=3	$x - 2 y = 3$
46699	Find the Concavity	f(x)=(x-2)/(x^2-5x+6)	$f (x) = \frac{x - 2}{x^{2} - 5 x + 6}$
46700	Find the Concavity	f(x)=12x^2+3x-x^3	$f (x) = 12 x^{2} + 3 x - x^{3}$