Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
65501	Evaluate the Function	g(-4)=(13^(1/2))/(2x^(1/2))	$g (- 4) = \frac{13^{\frac{1}{2}}}{2 x^{\frac{1}{2}}}$
65502	Find the Domain and Range	square root of 49-x^2	$\sqrt{49 - x^{2}}$
65503	Find the Domain and Range	log of x-2	$\log (x - 2)$
65504	Find the Concavity	x^3-6x^2-63x	$x^{3} - 6 x^{2} - 63 x$
65505	Find the Concavity	x+4/x	$x + \frac{4}{x}$
65506	Find Where Undefined/Discontinuous	(3x^2+12x)/(x^2+5x+4)	$\frac{3 x^{2} + 12 x}{x^{2} + 5 x + 4}$
65507	Find the Concavity	(x-3)/(x+4)	$\frac{x - 3}{x + 4}$
65508	Find the Concavity	x/(x^2+81)	$\frac{x}{x^{2} + 81}$
65509	Find the 5th Term	sum from n=1 to infinity of (-1)^n	$\sum_{n = 1}^{\infty} {(- 1)}^{n}$
65510	Find the Slope and y-intercept	x=3y+2	$x = 3 y + 2$
65511	Find the Slope and y-intercept	y=5/2	$y = \frac{5}{2}$
65512	Convert to Trigonometric Form	3- square root of 3i	$3 - \sqrt{3 i}$
65513	Verify the Identity	tan(theta)sin(theta)+cos(theta)=sec(theta)	$\tan (θ) \sin (θ) + \cos (θ) = \sec (θ)$
65514	Find the Slope of the Tangent Line at x=-1	f(x)=x^4-10x^2+9 ; x=-1	$f (x) = x^{4} - 10 x^{2} + 9$ ; $x = - 1$
65515	Solve the System of @WORD	x^2<=36	$x^{2} \leq 36$
65516	Convert to Interval Notation	{x\|-2<x<=2}	${x \| - 2 < x \leq 2}$
65517	Convert to Interval Notation	(x^2+9x)/(x-5)<=0	$\frac{x^{2} + 9 x}{x - 5} \leq 0$
65518	Convert to Interval Notation	x^2+x-6<=0	$x^{2} + x - 6 \leq 0$
65519	Convert to Interval Notation	-2<x<=4	$- 2 < x \leq 4$
65520	Convert to Interval Notation	2x+3<4x-6	$2 x + 3 < 4 x - 6$
65521	Find the Difference Quotient	f(x)=-3x+2	$f (x) = - 3 x + 2$
65522	Find the Difference Quotient	f(x)=1/(x+4)	$f (x) = \frac{1}{x + 4}$
65523	Find the Difference Quotient	f(x)=2x^4	$f (x) = 2 x^{4}$
65524	Find the Difference Quotient	f(x)=-3x^2-2x-2	$f (x) = - 3 x^{2} - 2 x - 2$
65525	Find the Asymptotes	5/(x^2)	$\frac{5}{x^{2}}$
65526	Find the Asymptotes	(3x)/(x-3)	$\frac{3 x}{x - 3}$
65527	Find the Asymptotes	(2x^2)/(x^2+3x-10)	$\frac{2 x^{2}}{x^{2} + 3 x - 10}$
65528	Find the Asymptotes	(x^2+x-6)/(x^2-x-2)	$\frac{x^{2} + x - 6}{x^{2} - x - 2}$
65529	Find the Asymptotes	(x^2-1)/(x-1)	$\frac{x^{2} - 1}{x - 1}$
65530	Find the Asymptotes	(x^3-1)/(x^3+1)	$\frac{x^{3} - 1}{x^{3} + 1}$
65531	Find the Asymptotes	(x^3-10x^2+24x)/(x^2-6x)	$\frac{x^{3} - 10 x^{2} + 24 x}{x^{2} - 6 x}$
65532	Find the Asymptotes	3^x+3	$3^{x} + 3$
65533	Find All Complex Solutions	x^2+x+1=0	$x^{2} + x + 1 = 0$
65534	Find the Inflection Points	f(x)=(x^2+100)/x	$f (x) = \frac{x^{2} + 100}{x}$
65535	Find the Inflection Points	f(x)=(x^2+25)/x	$f (x) = \frac{x^{2} + 25}{x}$
65536	Find the Inflection Points	f(x)=3/(x-4)	$f (x) = \frac{3}{x - 4}$
65537	Find the Inflection Points	f(x)=19x^4-114x^2	$f (x) = 19 x^{4} - 114 x^{2}$
65538	Find the Inflection Points	f(x)=(x+2)/(x^2-5x-14)	$f (x) = \frac{x + 2}{x^{2} - 5 x - 14}$
65539	Find the Inflection Points	f(x)=(x-5)/(x+7)	$f (x) = \frac{x - 5}{x + 7}$
65540	Find the Inflection Points	f(x)=(x-8)(x^2-16x-128)	$f (x) = (x - 8) (x^{2} - 16 x - 128)$
65541	Find the Inflection Points	f(x)=(x-4)/(x+5)	$f (x) = \frac{x - 4}{x + 5}$
65542	Find the Inflection Points	f(x)=4x^5-7x^4	$f (x) = 4 x^{5} - 7 x^{4}$
65543	Find the Inflection Points	f(x)=36e^x-e^(2x)	$f (x) = 36 e^{x} - e^{2 x}$
65544	Find the Inflection Points	f(x)=3x^3-36x-3	$f (x) = 3 x^{3} - 36 x - 3$
65545	Find the Inflection Points	f(x) = natural log of x^2-4x+29	$f (x) = \ln (x^{2} - 4 x + 29)$
65546	Find the Inflection Points	f(x)=x^(2/3)-x	$f (x) = x^{\frac{2}{3}} - x$
65547	Find the Inflection Points	f(x)=e^(7x)	$f (x) = e^{7 x}$
65548	Find the Inflection Points	f(x)=5x^4+20x^3	$f (x) = 5 x^{4} + 20 x^{3}$
65549	Find the Inflection Points	f(x)=8x^3-x^4	$f (x) = 8 x^{3} - x^{4}$
65550	Find the Inflection Points	f(x)=x^3-6x^2+1	$f (x) = x^{3} - 6 x^{2} + 1$
65551	Find the Inflection Points	f(x)=x^5-5x^4+15	$f (x) = x^{5} - 5 x^{4} + 15$
65552	Find the Inflection Points	f(x)=x^4-6x^2-1	$f (x) = x^{4} - 6 x^{2} - 1$
65553	Find the Local Maxima and Minima	(x+6)/(x-6)	$\frac{x + 6}{x - 6}$
65554	Find the Local Maxima and Minima	(x-1)(x+1)(x+5)	$(x - 1) (x + 1) (x + 5)$
65555	Find the Local Maxima and Minima	square root of x- square root of x^3	$\sqrt{x} - \sqrt{x^{3}}$
65556	Find the Local Maxima and Minima	12x^3-12x	$12 x^{3} - 12 x$
65557	Find the Local Maxima and Minima	15-9x^2+3x^3	$15 - 9 x^{2} + 3 x^{3}$
65558	Find the Local Maxima and Minima	2x^3+3x^2-120x+6	$2 x^{3} + 3 x^{2} - 120 x + 6$
65559	Find the Local Maxima and Minima	3x^2+6x	$3 x^{2} + 6 x$
65560	Find the Local Maxima and Minima	9-x^2	$9 - x^{2}$
65561	Find the Local Maxima and Minima	4-x^2	$4 - x^{2}$
65562	Find the Local Maxima and Minima	4x^3-48x-2	$4 x^{3} - 48 x - 2$
65563	Find the Local Maxima and Minima	4x^4-8x^2+12	$4 x^{4} - 8 x^{2} + 12$
65564	Find the Local Maxima and Minima	x/( square root of x^2+1)	$\frac{x}{\sqrt{x^{2} + 1}}$
65565	Find the Local Maxima and Minima	x/(x^2+100)	$\frac{x}{x^{2} + 100}$
65566	Find the Local Maxima and Minima	(2x^2-3)/(x^2-1)	$\frac{2 x^{2} - 3}{x^{2} - 1}$
65567	Find the Directrix	y=-4x^2-3	$y = - 4 x^{2} - 3$
65568	Find the Local Maxima and Minima	x^3-6x^2-63x	$x^{3} - 6 x^{2} - 63 x$
65569	Find the Local Maxima and Minima	x^3-9x^2-81x	$x^{3} - 9 x^{2} - 81 x$
65570	Find the Local Maxima and Minima	x^2-6x+4	$x^{2} - 6 x + 4$
65571	Find the Local Maxima and Minima	xe^(-(x^2)/162)	$x e^{- \frac{x^{2}}{162}}$
65572	Divide	61/2	$\frac{61}{2}$
65573	Divide	60/360	$\frac{60}{360}$
65574	Divide	6/36	$\frac{6}{36}$
65575	Divide	432/3	$\frac{432}{3}$
65576	Divide	(4+5i)/(5-i)	$\frac{4 + 5 i}{5 - i}$
65577	Divide	40/5	$\frac{40}{5}$
65578	Divide	5/11	$\frac{5}{11}$
65579	Divide	4/(5+i)	$\frac{4}{5 + i}$
65580	Divide	-32/8	$- \frac{32}{8}$
65581	Divide	360/12	$\frac{360}{12}$
65582	Divide	360/4	$\frac{360}{4}$
65583	Divide	(3/4)÷3	$\frac{3}{4} \div 3$
65584	Divide	(3/8)÷(1/2)	$\frac{3}{8} \div \frac{1}{2}$
65585	Divide	25/7	$\frac{25}{7}$
65586	Divide	27/9	$\frac{27}{9}$
65587	Divide	3/(1/2)	$\frac{3}{\frac{1}{2}}$
65588	Divide	3/0	$\frac{3}{0}$
65589	Divide	3/1.5	$\frac{3}{1.5}$
65590	Divide	(2/5)÷2	$\frac{2}{5} \div 2$
65591	Divide	20/16	$\frac{20}{16}$
65592	Divide	(2/5)÷(1/10)	$\frac{2}{5} \div \frac{1}{10}$
65593	Divide	-21/7	$- \frac{21}{7}$
65594	Divide	200/25	$\frac{200}{25}$
65595	Divide	24/12	$\frac{24}{12}$
65596	Divide	172/2	$\frac{172}{2}$
65597	Divide	-2/-2	$\frac{- 2}{- 2}$
65598	Divide	147/3	$\frac{147}{3}$
65599	Divide	(1/4)÷(3/4)	$\frac{1}{4} \div \frac{3}{4}$
65600	Divide	1/(2/3)	$\frac{1}{\frac{2}{3}}$