Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
42601	Find the Derivative - d/d@VAR	g(x)=3x^2e^(2x)	$g (x) = 3 x^{2} e^{2 x}$
42602	Split Using Partial Fraction Decomposition	(2x+57)/((x-3)^2(x+4))	$\frac{2 x + 57}{{(x - 3)}^{2} (x + 4)}$
42603	Split Using Partial Fraction Decomposition	15/(4x(3x+5))	$\frac{15}{4 x (3 x + 5)}$
42604	Split Using Partial Fraction Decomposition	(5x^2)/((x-2)^2(x+2)^2)	$\frac{5 x^{2}}{{(x - 2)}^{2} {(x + 2)}^{2}}$
42605	Solve by Substitution	x+y=2y=x^2-18	$x + y = 2 y = x^{2} - 18$
42606	Solve by Substitution	xy=243x-y=-6	$x y = 243 x - y = - 6$
42607	Solve by Substitution	x+y^2=6yx-2y=-5	$x + y^{2} = 6 y x - 2 y = - 5$
42608	Solve by Substitution	x^2+y^2=4x , x=y^2	$x^{2} + y^{2} = 4 x$ , $x = y^{2}$
42609	Solve by Substitution	x^2-y=8x^2+y^2=64	$x^{2} - y = 8 x^{2} + y^{2} = 64$
42610	Solve by Substitution	-3x+y=212x-4y=-8	$- 3 x + y = 212 x - 4 y = - 8$
42611	Solve by Substitution	3x-2y=185x+10y=-10	$3 x - 2 y = 185 x + 10 y = - 10$
42612	Solve by Substitution	3x-2y=5 , 5x+3y=2	$3 x - 2 y = 5$ , $5 x + 3 y = 2$
42613	Split Using Partial Fraction Decomposition	9/(x(x^2+9))	$\frac{9}{x (x^{2} + 9)}$
42614	Split Using Partial Fraction Decomposition	(7x^2-x-16)/(x(x+1)(x-1))	$\frac{7 x^{2} - x - 16}{x (x + 1) (x - 1)}$
42615	Split Using Partial Fraction Decomposition	(x^2+21x+18)/(x^3+3x^2)	$\frac{x^{2} + 21 x + 18}{x^{3} + 3 x^{2}}$
42616	Solve the Triangle	tri{8}{}{17}{}{15}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 8 \\ c = & 17 \\ a = & 15 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
42617	Find the Expanded Form	(x-8)^2+((y+4)^2)/60=50	${(x - 8)}^{2} + \frac{{(y + 4)}^{2}}{60} = 50$
42618	Find the Slope and y-intercept	3x-4y+8=0	$3 x - 4 y + 8 = 0$
42619	Find the Asymptotes	(10x^2-8x-1)/(5x+1)	$\frac{10 x^{2} - 8 x - 1}{5 x + 1}$
42620	Find the Asymptotes	1/(x-10)	$\frac{1}{x - 10}$
42621	Find the Asymptotes	(x^2)/(x-4)	$\frac{x^{2}}{x - 4}$
42622	Find the Asymptotes	(6x^2+1)/(2x^2+x-1)	$\frac{6 x^{2} + 1}{2 x^{2} + x - 1}$
42623	Find the Asymptotes	natural log of x-5	$\ln (x - 5)$
42624	Find the Vertex Form	x^2-2x+8y+9=0	$x^{2} - 2 x + 8 y + 9 = 0$
42625	Find the Vertex Form	2y^2-15x-4y-28=0	$2 y^{2} - 15 x - 4 y - 28 = 0$
42626	Find the Asymptotes	5^(-x)	$5^{- x}$
42627	Find the Asymptotes	x+1/x	$x + \frac{1}{x}$
42628	Plot	theta=pi/3	$θ = \frac{π}{3}$
42629	Plot	(-3,(5pi)/3)	$(- 3, \frac{5 π}{3})$
42630	Subtract the Matrices	[[8,9,-2],[1,11,-1],[2,12,3]]-[[-3,9,5],[4,2,-2],[-7,-1,4]]	$[\begin{array}{c} 8 & 9 & - 2 \\ 1 & 11 & - 1 \\ 2 & 12 & 3 \end{array}] - [\begin{array}{c} - 3 & 9 & 5 \\ 4 & 2 & - 2 \\ - 7 & - 1 & 4 \end{array}]$
42631	Solve for z	5+5z+z^2=0	$5 + 5 z + z^{2} = 0$
42632	Solve for z	(1/4)^(3z-1)=16^(z+2)*64^(z-2)	${(\frac{1}{4})}^{3 z - 1} = 16^{z + 2} \cdot 64^{z - 2}$
42633	Solve for z	log of 4z=3	$\log (4 z) = 3$
42634	Solve for v	v=10i-24j	$v = 10 i - 24 j$
42635	Solve for v	log base 11 of v+7=3	$\log_{11} (v + 7) = 3$
42636	Solve for v	square root of v/3=2	$\sqrt{\frac{v}{3}} = 2$
42637	Solve for v	v=-8i+5j	$v = - 8 i + 5 j$
42638	Solve for t	9- cube root of 4t+6=7	$9 - \sqrt[3]{4 t + 6} = 7$
42639	Solve for t	x=3cos(t)	$x = 3 \cos (t)$
42640	Solve for y	(1+y)^2-(1+y)y-y^2+1=0	${(1 + y)}^{2} - (1 + y) y - y^{2} + 1 = 0$
42641	Solve for y	4x+y=8	$4 x + y = 8$
42642	Solve for y	square root of y-2=7	$\sqrt{y - 2} = 7$
42643	Solve for y	x-y=3	$x - y = 3$
42644	Solve for B	v=1/3Bh	$v = \frac{1}{3} B h$
42645	Solve for b	log base b of 2=1/6	$\log_{b} (2) = \frac{1}{6}$
42646	Solve for b	-7+8b>=4(2b-3)	$- 7 + 8 b \geq 4 (2 b - 3)$
42647	Solve for b	b^2=32^2+60.5^2-23260.5cos(19 degrees )	$b^{2} = 32^{2} + {60.5}^{2} - 2 \cdot 32 \cdot 60.5 \cos (19 °)$
42648	Solve for n	13=10+ square root of n	$13 = 10 + \sqrt{n}$
42649	Solve for n	square root of n=9	$\sqrt{n} = 9$
42650	Solve for n	36=4 square root of n	$36 = 4 \sqrt{n}$
42651	Solve for n	4^(2n+2)*64=64	$4^{2 n + 2} \cdot 64 = 64$
42652	Solve for m	5m^2-7m=5	$5 m^{2} - 7 m = 5$
42653	Solve for k	64^(-3k-1)*4^(-2k+3)=16^(-3k-2)	$64^{- 3 k - 1} \cdot 4^{- 2 k + 3} = 16^{- 3 k - 2}$
42654	Solve for m	square root of 5-m=m-3	$\sqrt{5 - m} = m - 3$
42655	Solve for t	10 square root of 3=20sin((pit)/4-pi/2)	$10 \sqrt{3} = 20 \sin (\frac{π t}{4} - \frac{π}{2})$
42656	Solve for t	10000=100*2^(t/10)	$10000 = 100 \cdot 2^{\frac{t}{10}}$
42657	Solve for t	2=e^(0.015t)	$2 = e^{0.015 t}$
42658	Solve for t	1249=175e^(-0.04t)	$1249 = 175 e^{- 0.04 t}$
42659	Solve for t	200=800e^(-0.0244t)	$200 = 800 e^{- 0.0244 t}$
42660	Solve for t	30=15cos((2pi)/365t)+43	$30 = 15 \cos (\frac{2 π}{365} t) + 43$
42661	Solve for t	380=-21cos((2pi)/29.5t)+384	$380 = - 21 \cos (\frac{2 π}{29.5} t) + 384$
42662	Solve for r	r=5sin(theta)	$r = 5 \sin (θ)$
42663	Solve for r	r=3sin(theta)	$r = 3 \sin (θ)$
42664	Solve for t	1/2(10)^(3t)=100	$\frac{1}{2} {(10)}^{3 t} = 100$
42665	Solve for t	1/3e^(3t)=1/2	$\frac{1}{3} e^{3 t} = \frac{1}{2}$
42666	Solve for r	S=pi square root of r^2+h^2	$S = π \sqrt{r^{2} + h^{2}}$
42667	Solve for r	square root of r = square root of 6-2r	$\sqrt{r} = \sqrt{6 - 2 r}$
42668	Solve for r	625^(-3r)*125=(1/125)^(-r)	$625^{- 3 r} \cdot 125 = {(\frac{1}{125})}^{- r}$
42669	Solve for p	square root of 18-2p=p-9	$\sqrt{18 - 2 p} = p - 9$
42670	Solve for n	n+4 = square root of 6n+40	$n + 4 = \sqrt{6 n + 40}$
42671	Solve for b	1/27=b^-3	$\frac{1}{27} = b^{- 3}$
42672	Solve for b	(2pi)/b=3	$\frac{2 π}{b} = 3$
42673	Solve for a	3^(a-1)*1/81=1/9	$3^{a - 1} \cdot \frac{1}{81} = \frac{1}{9}$
42674	Solve for a	a^2=1.6	$a^{2} = 1.6$
42675	Solve for a	square root of 10a-1=1+ square root of 5a-1	$\sqrt{10 a - 1} = 1 + \sqrt{5 a - 1}$
42676	Solve for a	log base 2/3 of 9/4=a	$\log_{\frac{2}{3}} (\frac{9}{4}) = a$
42677	Find the Degree	11m^3n^2p	$11 m^{3} n^{2} p$
42678	Determine if Odd, Even, or Neither	y=x/(tan(x))	$y = \frac{x}{\tan (x)}$
42679	Determine if True	0=pi/4	$0 = \frac{π}{4}$
42680	Find the Domain	f(x) = log base 11 of (x+8)/(x-5)	$f (x) = \log_{11} (\frac{x + 8}{x - 5})$
42681	Find the Domain	f(x) = log base 3 of 8-4x	$f (x) = \log_{3} (8 - 4 x)$
42682	Find the Domain	f(x)=(x-7)/(x^2-49)	$f (x) = \frac{x - 7}{x^{2} - 49}$
42683	Find the Domain	f(x)=(x+8)/(x^2-64)	$f (x) = \frac{x + 8}{x^{2} - 64}$
42684	Find the Domain	f(x)=(x-1)/(x^2-1)	$f (x) = \frac{x - 1}{x^{2} - 1}$
42685	Find the Domain	f(x)=1/(x-4)	$f (x) = \frac{1}{x - 4}$
42686	Find the Domain	f(x)=1/(x+1)	$f (x) = \frac{1}{x + 1}$
42687	Find the Domain	f(x)=-7/(x^2-121)	$f (x) = \frac{- 7}{x^{2} - 121}$
42688	Find the Domain	f(x) = square root of x^4-16	$f (x) = \sqrt{x^{4} - 16}$
42689	Find the Domain	f(x) = log base 5 of x-3	$f (x) = \log_{5} (x - 3)$
42690	Find the Standard Form of the Parabola	y^2-2x-14y+55=0	$y^{2} - 2 x - 14 y + 55 = 0$
42691	Find the Standard Form of the Parabola	x^2+4x-4y+24=0	$x^{2} + 4 x - 4 y + 24 = 0$
42692	Find the Standard Form of the Parabola	x^2+4x-4y+28=0	$x^{2} + 4 x - 4 y + 28 = 0$
42693	Find the Standard Form of the Parabola	x^2+8x-4y-4=0	$x^{2} + 8 x - 4 y - 4 = 0$
42694	Find the Standard Form of the Parabola	x^2+4x-y+7=0	$x^{2} + 4 x - y + 7 = 0$
42695	Find the Asymptotes	f(x)=cot(3x-pi/2)	$f (x) = \cot (3 x - \frac{π}{2})$
42696	Find the Asymptotes	g(x)=(x^2)/(x^2-2x-1)	$g (x) = \frac{x^{2}}{x^{2} - 2 x - 1}$
42697	Find the Asymptotes	g(x)=(7x^2)/(x^2+5)	$g (x) = \frac{7 x^{2}}{x^{2} + 5}$
42698	Find the Asymptotes	g(x)=4^x-2	$g (x) = 4^{x} - 2$
42699	Find the Asymptotes	f(x)=cot(x)	$f (x) = \cot (x)$
42700	Find the Asymptotes	f(x)=4^x-3	$f (x) = 4^{x} - 3$