Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
15501	Find the Domain	y=xe^(-4x)	$y = x e^{- 4 x}$
15502	Find the Domain	y=3x-1	$y = 3 x - 1$
15503	Split Using Partial Fraction Decomposition	(t^6+1)/(t^6+t^3)	$\frac{t^{6} + 1}{t^{6} + t^{3}}$
15504	Find the Domain	sin(arcsin(x))	$\sin (\arcsin (x))$
15505	Find the Domain	natural log of x-7	$\ln (x - 7)$
15506	Find the Domain	natural log of x^2+1	$\ln (x^{2} + 1)$
15507	Find the Domain	(16-e^(x^2))/(1-e^(16-x^2))	$\frac{16 - e^{x^{2}}}{1 - e^{16 - x^{2}}}$
15508	Find the Domain	g(t)=3/( square root of t)	$g (t) = \frac{3}{\sqrt{t}}$
15509	Find the Domain	g(x)=1/( square root of 8-x)	$g (x) = \frac{1}{\sqrt{8 - x}}$
15510	Find the Domain	h(x)=(6x-2)/(x^2-4)	$h (x) = \frac{6 x - 2}{x^{2} - 4}$
15511	Find the Domain	g(x) = square root of x+1	$g (x) = \sqrt{x + 1}$
15512	Find the Domain	h(x)=(e^(x+2))/( square root of x-2)	$h (x) = \frac{e^{x + 2}}{\sqrt{x - 2}}$
15513	Divide	(f(x)(x^2))/(x^2-9)	$\frac{f (x) (x^{2})}{x^{2} - 9}$
15514	Divide	(f(x+h)-f(x))/h	$\frac{f (x + h) - f (x)}{h}$
15515	Find the Derivative - d/d@VAR	f(x) = square root of 2x(1-4x)^3	$f (x) = \sqrt{2 x} {(1 - 4 x)}^{3}$
15516	Divide	(x^2)/(3x-1)	$\frac{x^{2}}{3 x - 1}$
15517	Find the Derivative - d/dx	y=5/(2x^3)	$y = \frac{5}{2 x^{3}}$
15518	Find the Derivative - d/d@VAR	C(t)=19t^2e^(-t)	$C (t) = 19 t^{2} e^{- t}$
15519	Divide	8/2	$\frac{8}{2}$
15520	Divide	(x^2+4x-5)/(x-1)	$\frac{x^{2} + 4 x - 5}{x - 1}$
15521	Divide	(3x^2-4x+5)/(x-2)	$\frac{3 x^{2} - 4 x + 5}{x - 2}$
15522	Divide	5/( square root of 7)	$\frac{5}{\sqrt{7}}$
15523	Divide	(3(x+h)^2-x+h+2+3x^2-x+2)/h	$\frac{3 {(x + h)}^{2} - x + h + 2 + 3 x^{2} - x + 2}{h}$
15524	Divide	(4-11)/(3x-3)	$\frac{4 - 11}{3 x - 3}$
15525	Divide	2/-8	$\frac{2}{- 8}$
15526	Divide	(2t)/(t^2)	$\frac{2 t}{t^{2}}$
15527	Divide	3/( square root of 3)	$\frac{3}{\sqrt{3}}$
15528	Divide	(35x-51x+25x)/(7x-6)	$\frac{35 x - 51 x + 25 x}{7 x - 6}$
15529	Divide	(v^3-17v^2+66v+32)/(v-10)	$\frac{v^{3} - 17 v^{2} + 66 v + 32}{v - 10}$
15530	Split Using Partial Fraction Decomposition	(x^2)/(x^2+x+2)	$\frac{x^{2}}{x^{2} + x + 2}$
15531	Split Using Partial Fraction Decomposition	(2x+3)/((x+1)^3(x-3))	$\frac{2 x + 3}{{(x + 1)}^{3} (x - 3)}$
15532	Split Using Partial Fraction Decomposition	(-4s^2+s+1)/(s(s^2+1))	$\frac{- 4 s^{2} + s + 1}{s (s^{2} + 1)}$
15533	Find the Domain	z=e^(-(x^2+y^2))	$z = e^{- (x^{2} + y^{2})}$
15534	Split Using Partial Fraction Decomposition	( square root of 2)/2*10	$\frac{\sqrt{2}}{2} \cdot 10$
15535	Split Using Partial Fraction Decomposition	(x^2)/(x^2+x+5)	$\frac{x^{2}}{x^{2} + x + 5}$
15536	Split Using Partial Fraction Decomposition	(6x^3+13x^2-4x+4)÷(x+1/6)	$(6 x^{3} + 13 x^{2} - 4 x + 4) \div (x + \frac{1}{6})$
15537	Split Using Partial Fraction Decomposition	(x^3)/(x^3-3x^2+9x-27)	$\frac{x^{3}}{x^{3} - 3 x^{2} + 9 x - 27}$
15538	Split Using Partial Fraction Decomposition	1/((x+1)(x+2))	$\frac{1}{(x + 1) (x + 2)}$
15539	Split Using Partial Fraction Decomposition	1/(x^2)	$\frac{1}{x^{2}}$
15540	Split Using Partial Fraction Decomposition	(2x-1)/((x+1)^3)	$\frac{2 x - 1}{{(x + 1)}^{3}}$
15541	Split Using Partial Fraction Decomposition	(-x+7)/(x^3-x^(2-2x))	$\frac{- x + 7}{x^{3} - x^{2 - 2 x}}$
15542	Split Using Partial Fraction Decomposition	pi/6* square root of 3/3	$\frac{π}{6} \cdot \sqrt{\frac{3}{3}}$
15543	Divide	(1/(3+h)-1/3)/h	$\frac{\frac{1}{3 + h} - \frac{1}{3}}{h}$
15544	Divide	(x^4+5x-6)/(x+2)	$\frac{x^{4} + 5 x - 6}{x + 2}$
15545	Divide	(x^5-x^4+x^3+2x^2-x+4)/(x^3+1)	$\frac{x^{5} - x^{4} + x^{3} + 2 x^{2} - x + 4}{x^{3} + 1}$
15546	Divide	((-p)(-0.003(20-0.001p)^(-1/2)))/(3(20-0.001p)^(1/2))	$\frac{(- p) (- 0.003 {(20 - 0.001 p)}^{- \frac{1}{2}})}{3 {(20 - 0.001 p)}^{\frac{1}{2}}}$
15547	Divide	(2/(x^2))/(10/(x^5))	$\frac{\frac{2}{x^{2}}}{\frac{10}{x^{5}}}$
15548	Simplify	square root of x^2-3x	$\sqrt{x^{2} - 3 x}$
15549	Simplify	square root of x^4+1	$\sqrt{x^{4} + 1}$
15550	Simplify	( square root of x-6)/(x-36)	$\frac{\sqrt{x} - 6}{x - 36}$
15551	Simplify	square root of y/x	$\sqrt{\frac{y}{x}}$
15552	Simplify	square root of e^2	$\sqrt{e^{2}}$
15553	Simplify	square root of x^2+4x	$\sqrt{x^{2} + 4 x}$
15554	Simplify	square root of x^2+2xy+y^2	$\sqrt{x^{2} + 2 x y + y^{2}}$
15555	Simplify	square root of 99/( cube root of 198p^2)	$\sqrt{\frac{99}{\sqrt[3]{198 p^{2}}}}$
15556	Simplify	square root of (x^2)/64+4/x+1/2	$\sqrt{\frac{x^{2}}{64} + \frac{4}{x} + \frac{1}{2}}$
15557	Simplify	u/( square root of u^2+2)	$\frac{u}{\sqrt{u^{2} + 2}}$
15558	Simplify	(7- square root of x)/(49x-x^2)	$\frac{7 - \sqrt{x}}{49 x - x^{2}}$
15559	Simplify	arccos( square root of 2/2)	$\arccos (\sqrt{\frac{2}{2}})$
15560	Simplify	(dy)/(dx)	$\frac{d y}{d x}$
15561	Simplify	9/(15x-15)	$\frac{9}{15 x - 15}$
15562	Simplify	(arctan( square root of 253/3)-arctan( square root of 13/3))/( square root of 3)	$\frac{\arctan (\sqrt{\frac{253}{3}}) - \arctan (\sqrt{\frac{13}{3}})}{\sqrt{3}}$
15563	Simplify	83/(2p)	$\frac{83}{2 p}$
15564	Simplify	(7x^2)/( square root of x)	$\frac{7 x^{2}}{\sqrt{x}}$
15565	Simplify	(9(x+h)^3-(9x^3))/h	$\frac{9 {(x + h)}^{3} - (9 x^{3})}{h}$
15566	Simplify	arccsc(sec( square root of 5))	$arccsc (\sec (\sqrt{5}))$
15567	Simplify	square root of sin(pi/2)	$\sqrt{\sin (\frac{π}{2})}$
15568	Simplify	square root of x(1/(2x))	$\sqrt{x} (\frac{1}{2 x})$
15569	Simplify	square root of 9-9sin(x)^2	$\sqrt{9 - 9 \sin^{2} (x)}$
15570	Simplify	square root of 8x-4	$\sqrt{8 x - 4}$
15571	Simplify	square root of 81-(9)^2	$\sqrt{81 - {(9)}^{2}}$
15572	Simplify	cube root of 123	$\sqrt[3]{123}$
15573	Simplify	cube root of 25x^2-40+16	$\sqrt[3]{25 x^{2} - 40 + 16}$
15574	Simplify	cube root of a^2b cube root of a^4b	$\sqrt[3]{a^{2} b} \sqrt[3]{a^{4} b}$
15575	Simplify	square root of 10x^2w^5 square root of 5x^3w^9	$\sqrt{10 x^{2} w^{5}} \sqrt{5 x^{3} w^{9}}$
15576	Simplify	square root of 144-x^2	$\sqrt{144 - x^{2}}$
15577	Simplify	square root of 121-1.375^2	$\sqrt{121 - {1.375}^{2}}$
15578	Simplify	square root of 144-(3)^2	$\sqrt{144 - {(3)}^{2}}$
15579	Simplify	square root of 16t^2+24t+9	$\sqrt{16 t^{2} + 24 t + 9}$
15580	Simplify	square root of 196+25	$\sqrt{196 + 25}$
15581	Simplify	- square root of 18x	$- \sqrt{18 x}$
15582	Simplify	square root of 2x^2-4x+2	$\sqrt{2 x^{2} - 4 x + 2}$
15583	Simplify	square root of 20w^5x^3 square root of 5w^7x^2	$\sqrt{20 w^{5} x^{3}} \sqrt{5 w^{7} x^{2}}$
15584	Simplify	square root of 24x^3y^9	$\sqrt{24 x^{3} y^{9}}$
15585	Simplify	square root of 27a^2 square root of 75	$\sqrt{27} a^{2} \sqrt{75}$
15586	Find the Asymptotes	f(x)=(x^3+8)/(x+2)	$f (x) = \frac{x^{3} + 8}{x + 2}$
15587	Simplify	square root of 2x-x^2	$\sqrt{2 x - x^{2}}$
15588	Simplify	square root of 3x-1	$\sqrt{3 x - 1}$
15589	Find dy/dx	y=10x	$y = 10 x$
15590	Simplify	square root of 4-1.25^2	$\sqrt{4 - {1.25}^{2}}$
15591	Simplify	square root of 3x+5	$\sqrt{3 x + 5}$
15592	Simplify	square root of 4e^(-2x)	$\sqrt{4 e^{- 2 x}}$
15593	Simplify	square root of 4-t^2	$\sqrt{4 - t^{2}}$
15594	Simplify	square root of 49-0.875*2	$\sqrt{49 - 0.875 \cdot 2}$
15595	Simplify	square root of 49-6.125^2	$\sqrt{49 - {6.125}^{2}}$
15596	Simplify	square root of 4x-16	$\sqrt{4 x - 16}$
15597	Simplify	square root of 5x^9u^2 square root of 20xu^3	$\sqrt{5 x^{9} u^{2}} \sqrt{20 x u^{3}}$
15598	Simplify	square root of 5-3x	$\sqrt{5 - 3 x}$
15599	Simplify	(5x^2-29x-6)/(x^2+19x-150)	$\frac{5 x^{2} - 29 x - 6}{x^{2} + 19 x - 150}$
15600	Simplify	(5x^2-6x)/(x^2-2x-24)	$\frac{5 x^{2} - 6 x}{x^{2} - 2 x - 24}$