Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
47801	Find the Asymptotes	(2x)/(x^2-3x-10)	$\frac{2 x}{x^{2} - 3 x - 10}$
47802	Solve by Completing the Square	x^2+12x+36=0	$x^{2} + 12 x + 36 = 0$
47803	Solve by Completing the Square	x^2+4x=77	$x^{2} + 4 x = 77$
47804	Find the LCD	-5/(7x) , 35/(5x)	$\frac{- 5}{7 x}$ , $\frac{35}{5 x}$
47805	Find the Domain	square root of 5x-3	$\sqrt{5 x - 3}$
47806	Find the Domain	(36-e^(x^2))/(1-e^(36-x^2))	$\frac{36 - e^{x^{2}}}{1 - e^{36 - x^{2}}}$
47807	Find the Domain	(1-3t)/(6+t)	$\frac{1 - 3 t}{6 + t}$
47808	Find the Domain	x^3-2x^2	$x^{3} - 2 x^{2}$
47809	Find the Domain	(32+ square root of x)/( square root of 32+x)	$\frac{32 + \sqrt{x}}{\sqrt{32 + x}}$
47810	Find the Domain	(1-3x)/(4+x)	$\frac{1 - 3 x}{4 + x}$
47811	Find the Domain	(x-9)/(x^2)	$\frac{x - 9}{x^{2}}$
47812	Find the Domain	square root of 5x+6	$\sqrt{5 x + 6}$
47813	Find the Domain	-31/((5+t)^2)	$- \frac{31}{{(5 + t)}^{2}}$
47814	Find the Domain	( cube root of x-5)/(x^3-5)	$\frac{\sqrt[3]{x - 5}}{x^{3} - 5}$
47815	Find the Domain	(5+x)/(1-5x)	$\frac{5 + x}{1 - 5 x}$
47816	Find the Domain	8x^4-48x^2	$8 x^{4} - 48 x^{2}$
47817	Find the Domain	28x^3	$28 x^{3}$
47818	Find the Domain	(2x^2-x-1)/(x^2+9)	$\frac{2 x^{2} - x - 1}{x^{2} + 9}$
47819	Find the Domain	square root of 3x-1-2x^2	$\sqrt{3 x - 1 - 2 x^{2}}$
47820	Find the Domain	26/((5x-1)^2)	$\frac{26}{{(5 x - 1)}^{2}}$
47821	Find the Slope of a Parallel Line	y=1/3x	$y = \frac{1}{3} x$
47822	Find Where Undefined/Discontinuous	f(x)=(2+x)/(x-8)	$f (x) = \frac{2 + x}{x - 8}$
47823	Find Where Undefined/Discontinuous	f(x)=(x^2-8x+15)/(x^2-9)	$f (x) = \frac{x^{2} - 8 x + 15}{x^{2} - 9}$
47824	Find Where Undefined/Discontinuous	f(x)=(x-8)/(x^2-64)	$f (x) = \frac{x - 8}{x^{2} - 64}$
47825	Expand the Trigonometric Expression	(1-sin(x)^2)^3	${(1 - \sin^{2} (x))}^{3}$
47826	Expand the Trigonometric Expression	(a+h)^5	${(a + h)}^{5}$
47827	Expand the Trigonometric Expression	(x+7)^2	${(x + 7)}^{2}$
47828	Expand the Trigonometric Expression	(x-3)(x-5)	$(x - 3) (x - 5)$
47829	Find the Focus	x=3y^2	$x = 3 y^{2}$
47830	Find the Tangent at a Given Point Using the Limit Definition	y=3x+3x^2 , (1,-5)	$y = 3 x + 3 x^{2}$ , $(1, - 5)$
47831	Find f(g(x))	f(x) = square root of x+4 , g(x)=8x^2-8	$f (x) = \sqrt{x + 4}$ , $g (x) = 8 x^{2} - 8$
47832	Find f(g(x))	f(x)=x/10+7 , g(x)=4x-1	$f (x) = \frac{x}{10} + 7$ , $g (x) = 4 x - 1$
47833	Find f(g(x))	f(x)=3x^2-3 ; g(x)=8/x	$f (x) = 3 x^{2} - 3$ ; $g (x) = \frac{8}{x}$
47834	Find g(f(x))	f(x) = square root of x+5 , g(x)=12x^2-9	$f (x) = \sqrt{x + 5}$ , $g (x) = 12 x^{2} - 9$
47835	Find g(f(x))	f(x)=3x^2-3 ; g(x)=8/x	$f (x) = 3 x^{2} - 3$ ; $g (x) = \frac{8}{x}$
47836	Find g(f(x))	f(x)=16/x g(x)=x^2	$f (x) = \frac{16}{x}$ $g (x) = x^{2}$
47837	Find g(f(u))	f(u)=u^8 ; g(x)=8x^6+7	$f (u) = u^{8}$ ; $g (x) = 8 x^{6} + 7$
47838	Find f(g(u))	f(u)=u^8 ; g(x)=8x^6+7	$f (u) = u^{8}$ ; $g (x) = 8 x^{6} + 7$
47839	Find Where Undefined/Discontinuous	y=(x+3)/(x^2-12x+35)	$y = \frac{x + 3}{x^{2} - 12 x + 35}$
47840	Find the Inflection Points	y=3-6x^2-x^3	$y = 3 - 6 x^{2} - x^{3}$
47841	Find the Inflection Points	y=1/3x^3-2x^2+3x+5	$y = \frac{1}{3} x^{3} - 2 x^{2} + 3 x + 5$
47842	Find the Inflection Points	y=(1+x)/(1+x^2)	$y = \frac{(1 + x)}{(1 + x^{2})}$
47843	Find the Inflection Points	y=4x^3-3x^2	$y = 4 x^{3} - 3 x^{2}$
47844	Complete the Square	x^2+2x+122	$x^{2} + 2 x + 122$
47845	Find the Roots/Zeros Using the Rational Roots Test	x^3-2x^2-9x+18=0	$x^{3} - 2 x^{2} - 9 x + 18 = 0$
47846	Find the Derivative of the Integral	y = log base 6 of e^(-x)cos(pix)	$y = \log_{6} (e^{- x} \cos (π x))$
47847	Find the Derivative of the Integral	F(x) = integral from x to x^2 of e^(t^2) with respect to t	$F (x) = \int_{x}^{x^{2}} e^{t^{2}} d t$
47848	Find the Derivative of the Integral	y=(cos(x))/(1+sin(x))	$y = \frac{\cos (x)}{1 + \sin (x)}$
47849	Find the Derivative of the Integral	f(x) = integral from 1 to x of (t^2)/(t^2+1) with respect to t	$f (x) = \int_{1}^{x} \frac{t^{2}}{t^{2} + 1} d t$
47850	Find the Derivative of the Integral	y=tan(4x)^3	$y = \tan^{3} (4 x)$
47851	Find the Derivative of the Integral	y=(6x)/(9-cot(x))	$y = \frac{6 x}{9 - \cot (x)}$
47852	Find the Derivative of the Integral	y=acos(t)+t^2sin(t)	$y = a \cos (t) + t^{2} \sin (t)$
47853	Find the Derivative of the Integral	y=xsin(4/x)	$y = x \sin (\frac{4}{x})$
47854	Find the Derivative of the Integral	y=(8x)/(5-tan(x))	$y = \frac{8 x}{5 - \tan (x)}$
47855	Find the Derivative of the Integral	y=sin(x)cos(x)	$y = \sin (x) \cos (x)$
47856	Find the Derivative of the Integral	y=arctan(3x^2)	$y = \arctan (3 x^{2})$
47857	Find the Derivative of the Integral	y=(x+3)^(sin(x))	$y = {(x + 3)}^{\sin (x)}$
47858	Find the Derivative of the Integral	y=x^(7sin(x))	$y = x^{7 \sin (x)}$
47859	Find the Derivative of the Integral	integral from x to 4 of sin(t^4) with respect to t	$\int_{x}^{4} \sin (t^{4}) d t$
47860	Find the Derivative of the Integral	y=e^(tan(pit))	$y = e^{\tan (π t)}$
47861	Find the Derivative of the Integral	y = log base 4 of 3x^2	$y = \log_{4} (3 x^{2})$
47862	Find the Derivative of the Integral	(d^94)/(dx^94)(sin(x))	$\frac{d^{94}}{d x^{94}} (\sin (x))$
47863	Find the Derivative of the Integral	y=cos((pix)^7)	$y = \cos ({(π x)}^{7})$
47864	Find the Derivative of the Integral	integral from 1 to 2 of (e^(1/(x^3)))/(x^4) with respect to x	$\int_{1}^{2} \frac{e^{\frac{1}{x^{3}}}}{x^{4}} d x$
47865	Find the Derivative of the Integral	(d^118)/(dx^118)(sin(x))	$\frac{d^{118}}{d x^{118}} (\sin (x))$
47866	Find the Derivative of the Integral	f(x) = integral from 4 to 2x of square root of t^2-t with respect to t	$f (x) = \int_{4}^{2 x} \sqrt{t^{2} - t} d t$
47867	Find the Derivative of the Integral	y=sin(2x)+cos(x)^2	$y = \sin (2 x) + \cos^{2} (x)$
47868	Find the Derivative of the Integral	y=x^6 natural log of x-1/3x^3	$y = x^{6} \ln (x) - \frac{1}{3} x^{3}$
47869	Find the Derivative of the Integral	y=x^5 natural log of x-1/3x^3	$y = x^{5} \ln (x) - \frac{1}{3} x^{3}$
47870	Find the Derivative of the Integral	y=4x^2cos(x)cot(x)	$y = 4 x^{2} \cos (x) \cot (x)$
47871	Find the Derivative of the Integral	ysin(8x)=xcos(2y)	$y \sin (8 x) = x \cos (2 y)$
47872	Find the Derivative of the Integral	y=1/(cos(2x))	$y = \frac{1}{\cos (2 x)}$
47873	Find the Derivative of the Integral	y=6^x log base 6 of x	$y = 6^{x} \log_{6} (x)$
47874	Find the Derivative of the Integral	y=tan(5theta)^2	$y = \tan^{2} (5 θ)$
47875	Find the Derivative of the Integral	y=csc(x)(x+cot(x))	$y = \csc (x (x + \cot (x)))$
47876	Write as a Single Logarithm	2 natural log of 4- natural log of 2	$2 \ln (4) - \ln (2)$
47877	Write as a Single Logarithm	natural log of a+b+ natural log of a-b-2 natural log of c	$\ln (a + b) + \ln (a - b) - 2 \ln (c)$
47878	Write as a Single Logarithm	1/2 log base 2 of x^4+1/4 log base 2 of x^4-1/6 log base 2 of x	$\frac{1}{2} \log_{2} (x^{4}) + \frac{1}{4} \log_{2} (x^{4}) - \frac{1}{6} \log_{2} (x)$
47879	Find the Concavity	f(x)=-8x-2cos(x)	$f (x) = - 8 x - 2 \cos (x)$
47880	Find the Concavity	f(x)=4-7x^4	$f (x) = 4 - 7 x^{4}$
47881	Find the Concavity	f(x)=3x^4-18x^3+x-5	$f (x) = 3 x^{4} - 18 x^{3} + x - 5$
47882	Find the Concavity	f(x)=9sin(x)+9cos(x)	$f (x) = 9 \sin (x) + 9 \cos (x)$
47883	Find the Concavity	c(x)=x^(1/3)(x+4)	$c (x) = x^{\frac{1}{3}} (x + 4)$
47884	Find the Concavity	f(x)=x^3-6x^2+22x-28	$f (x) = x^{3} - 6 x^{2} + 22 x - 28$
47885	Find the Concavity	f(x)=x^3-3x^2+22x-20	$f (x) = x^{3} - 3 x^{2} + 22 x - 20$
47886	Find the Concavity	f(x)=12x+12e^x	$f (x) = 12 x + 12 e^{x}$
47887	Find the Concavity	f(x)=18x+18e^x	$f (x) = 18 x + 18 e^{x}$
47888	Find the Concavity	f(x)=x+2cos(x)	$f (x) = x + 2 \cos (x)$
47889	Find the Concavity	f(x)=-2/(x^2-x-6)	$f (x) = \frac{- 2}{x^{2} - x - 6}$
47890	Find the Concavity	f(x)=6x^2+3x-x^3	$f (x) = 6 x^{2} + 3 x - x^{3}$
47891	Find the Concavity	f(x)=x+5cos(x)	$f (x) = x + 5 \cos (x)$
47892	Find the Slope	x=pi/4	$x = \frac{π}{4}$
47893	Identify the Sequence	-36 , 144 , -576 , 2304 , -9216	$- 36$ , $144$ , $- 576$ , $2304$ , $- 9216$
47894	Identify the Sequence	7/8 , 15/16 , 23/24 , 31/32	$\frac{7}{8}$ , $\frac{15}{16}$ , $\frac{23}{24}$ , $\frac{31}{32}$
47895	Identify the Sequence	4 , 2 , 1 , 1/2	$4$ , $2$ , $1$ , $\frac{1}{2}$
47896	Find the Derivative of the Integral	y=(1+cos(x))/(1-cos(x))	$y = \frac{1 + \cos (x)}{1 - \cos (x)}$
47897	Evaluate Using the Given Value	x^2+y^2=676 , 5/12	$x^{2} + y^{2} = 676$ , $\frac{5}{12}$
47898	Evaluate Using the Given Value	(d^2v)/(dt^2) , v=2t^2+6t+15	$\frac{d^{2} v}{d t^{2}}$ , $v = 2 t^{2} + 6 t + 15$
47899	Evaluate Using the Given Value	(25t^2+125t+200)/(t^2+5t+40) ; t=10	$\frac{25 t^{2} + 125 t + 200}{t^{2} + 5 t + 40}$ ; $t = 10$
47900	Evaluate Using the Given Value	30 , 0=p(1+0.0275)^32	$30$ , $0 = p {(1 + 0.0275)}^{32}$