Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
64901	Convert to Polar Coordinates	p=(3,-pi/4)	$p = (3, - \frac{π}{4})$
64902	Find the Absolute Max and Min over the Interval	f(x)=1/3x^3-4x^2+13x ; [1,6]	$f (x) = \frac{1}{3} x^{3} - 4 x^{2} + 13 x$ ; $[1, 6]$
64903	Find the Absolute Max and Min over the Interval	f(x)=2x^3-6x^2-48x+7 , [-3,5]	$f (x) = 2 x^{3} - 6 x^{2} - 48 x + 7$ , $[- 3, 5]$
64904	Convert to Polar Coordinates	P=(5,-pi/6)	$P = (5, - \frac{π}{6})$
64905	Find the Area Between the Curves	y=4-x^2	$y = 4 - x^{2}$
64906	Find the Inflection Points	y=-x^4+12x^3-12x+2	$y = - x^{4} + 12 x^{3} - 12 x + 2$
64907	Divide	((6y^2+13y+6)/(20-5y))÷((4y^2-9)/(y^2-2y-8))	$\frac{6 y^{2} + 13 y + 6}{20 - 5 y} \div \frac{4 y^{2} - 9}{y^{2} - 2 y - 8}$
64908	Divide	7/12	$\frac{7}{12}$
64909	Divide	92/2	$\frac{92}{2}$
64910	Divide	(x^2-5x-14)/(x+2)	$\frac{x^{2} - 5 x - 14}{x + 2}$
64911	Divide	(x^3)/(x^2+1)	$\frac{x^{3}}{x^{2} + 1}$
64912	Divide	127÷13=	$127 \div 13 =$
64913	Divide	10÷6	$10 \div 6$
64914	Divide	32÷5	$32 \div 5$
64915	Divide	7÷20	$7 \div 20$
64916	Divide	((2x^8)/(5y))/((4x^2)/(25y^3))	$\frac{\frac{2 x^{8}}{5 y}}{\frac{4 x^{2}}{25 y^{3}}}$
64917	Divide	0/6	$\frac{0}{6}$
64918	Divide	100/6	$\frac{100}{6}$
64919	Divide	105/2	$\frac{105}{2}$
64920	Divide	112/3	$\frac{112}{3}$
64921	Divide	(1+7i)/(1+i)	$\frac{1 + 7 i}{1 + i}$
64922	Divide	0/-1	$\frac{0}{- 1}$
64923	Divide	(1/5)÷2	$\frac{1}{5} \div 2$
64924	Divide	21/5	$\frac{21}{5}$
64925	Divide	(2/5)÷(1/3)	$\frac{2}{5} \div \frac{1}{3}$
64926	Divide	3/8	$\frac{3}{8}$
64927	Divide	(3/8)÷(13/12)	$\frac{3}{8} \div \frac{13}{12}$
64928	Divide	3.125/2	$\frac{3.125}{2}$
64929	Divide	-30/6	$- \frac{30}{6}$
64930	Divide	(35x^8-49x^6+28x^3)÷7x^3	$(35 x^{8} - 49 x^{6} + 28 x^{3}) \div 7 x^{3}$
64931	Divide	5/7	$\frac{5}{7}$
64932	Divide	49/8	$\frac{49}{8}$
64933	Divide	42/4	$\frac{42}{4}$
64934	Find the Center and Radius	x^2+10x+y^2-16y-11=0	$x^{2} + 10 x + y^{2} - 16 y - 11 = 0$
64935	Find the Inverse	y = natural log of x+3	$y = \ln (x + 3)$
64936	Find the Local Maxima and Minima	4x^3-15x^2+12x+7	$4 x^{3} - 15 x^{2} + 12 x + 7$
64937	Find Where Increasing/Decreasing Using Derivatives	y=x^3+6x^2+9x	$y = x^{3} + 6 x^{2} + 9 x$
64938	Find the Domain and Range	g(x) = square root of x^2-3x	$g (x) = \sqrt{x^{2} - 3 x}$
64939	Write in Standard Form	(y-3)^2=4(x-5)	${(y - 3)}^{2} = 4 (x - 5)$
64940	Find the Domain and Range	f(x) = square root of 3x^2-6x	$f (x) = \sqrt{3 x^{2} - 6 x}$
64941	Find the Inflection Points	g(x)=4x^4-8x^3+1	$g (x) = 4 x^{4} - 8 x^{3} + 1$
64942	Find the Inflection Points	f(x)=(x+2)/(x^2-3x-10)	$f (x) = \frac{x + 2}{x^{2} - 3 x - 10}$
64943	Find the Inflection Points	f(x)=2x^3-24x-6	$f (x) = 2 x^{3} - 24 x - 6$
64944	Find the Inflection Points	f(x)=1+5/x-9/(x^2)	$f (x) = 1 + \frac{5}{x} - \frac{9}{x^{2}}$
64945	Find the Inflection Points	f(x)=14x^4-84x^2	$f (x) = 14 x^{4} - 84 x^{2}$
64946	Find the Inflection Points	f(x)=-7/(x^2)	$f (x) = \frac{- 7}{x^{2}}$
64947	Solve for y	y-18=9(x-4)	$y - 18 = 9 (x - 4)$
64948	Solve for V	V=4/3pi(7)^3	$V = \frac{4}{3} π {(7)}^{3}$
64949	Solve for t	27=7+37t-16t^2	$27 = 7 + 37 t - 16 t^{2}$
64950	Solve for t	log base 4 of t=2	$\log_{4} (t) = 2$
64951	Solve for t	log base 5 of t=2	$\log_{5} (t) = 2$
64952	Solve for t	0=12t^3+60t^2-48t	$0 = 12 t^{3} + 60 t^{2} - 48 t$
64953	Solve for t	6=e^(0.03t)	$6 = e^{0.03 t}$
64954	Solve for t	90=(100t)/(t+1)	$90 = \frac{100 t}{t + 1}$
64955	Solve for y	x=60/(1+5/(y+1))	$x = \frac{60}{1 + \frac{5}{y + 1}}$
64956	Solve for y	4x=4y-y^2	$4 x = 4 y - y^{2}$
64957	Solve for y	30y=450	$30 y = 450$
64958	Solve for y	12x-y+3=0	$12 x - y + 3 = 0$
64959	Solve for c	3c+5=23	$3 c + 5 = 23$
64960	Solve for c	sin(76.00 degrees )=2.100/c	$\sin (76 °) = \frac{2.1}{c}$
64961	Solve for b	f(x)=(x^2-4x+3)/(x^2+ax+b)	$f (x) = \frac{x^{2} - 4 x + 3}{x^{2} + a x + b}$
64962	Solve for k	1.21*10^6=k(550)^2	$1.21 \cdot 10^{6} = k {(550)}^{2}$
64963	Solve for h	limit as h approaches 0 of (f(x+h)-f(x))/h	$lim_{h \to 0} \frac{f (x + h) - f (x)}{h}$
64964	Solve for p	q=12-3p	$q = 12 - 3 p$
64965	Solve for p	q=140-4p	$q = 140 - 4 p$
64966	Solve for p	q=7000-100p	$q = 7000 - 100 p$
64967	Solve for p	-3+p=7- square root of 32-p	$- 3 + p = 7 - \sqrt{32 - p}$
64968	Solve for s	2s-16000/(s^2)=0	$2 s - \frac{16000}{s^{2}} = 0$
64969	Solve for r	0=1.8410^-12r^2-(164)8.9910^9(1.610^-19)^2r-1.8410^-12(1.50*10^-14)^2	$0 = 1.84 \cdot 10^{- 12} r^{2} - (164) (8.99 \cdot 10^{9}) {(1.6 \cdot 10^{- 19})}^{2} r - 1.84 \cdot 10^{- 12} \cdot {(1.5 \cdot 10^{- 14})}^{2}$
64970	Solve for q	p=300e^(-0.4q)	$p = 300 e^{- 0.4 q}$
64971	Solve for r	3r^2=8	$3 r^{2} = 8$
64972	Find the Asymptotes	( square root of 16x^2+3x+6-5)/(x-1)	$\frac{\sqrt{16 x^{2} + 3 x + 6} - 5}{x - 1}$
64973	Find the Difference Quotient	f(x) = square root of 3x	$f (x) = \sqrt{3 x}$
64974	Find the Asymptotes	(x+2)/(x^2-2x-8)	$\frac{x + 2}{x^{2} - 2 x - 8}$
64975	Find the Difference Quotient	f(x)=7-x^2	$f (x) = 7 - x^{2}$
64976	Find the Difference Quotient	f(x)=5x+3	$f (x) = 5 x + 3$
64977	Find the Vertex Form	y^2-12y-8x+20=0	$y^{2} - 12 y - 8 x + 20 = 0$
64978	Find Where Increasing/Decreasing Using Derivatives	15-9x^2+3x^3	$15 - 9 x^{2} + 3 x^{3}$
64979	Find the Derivative Using Chain Rule - d/dx	y=(2x^2-5)^-10	$y = {(2 x^{2} - 5)}^{- 10}$
64980	Find the Derivative Using Chain Rule - d/dx	((x^2-3x^x+2x-1)^(dx))/(x^2-4x+4)	$\frac{{(x^{2} - 3 x^{x} + 2 x - 1)}^{d x}}{x^{2} - 4 x + 4}$
64981	Evaluate Using L'Hospital's Rule	limit as x approaches 1 of (-x^4-5x^2+6)/(x^3+x^2-x-1)	$lim_{x \to 1} \frac{- x^{4} - 5 x^{2} + 6}{x^{3} + x^{2} - x - 1}$
64982	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (3x^2)/(e^x-1-x)	$lim_{x \to 0} \frac{3 x^{2}}{e^{x} - 1 - x}$
64983	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (e^(3x))/(x^6)	$lim_{x \to \infty} \frac{e^{(3 x)}}{x^{6}}$
64984	Find the Asymptotes	f(x)=(x^2-8x+15)/(x^2-6x+9)	$f (x) = \frac{x^{2} - 8 x + 15}{x^{2} - 6 x + 9}$
64985	Find the Asymptotes	f(x)=9tan(pix)	$f (x) = 9 \tan (π x)$
64986	Find the Asymptotes	f(x)=(5x^2+19x-4)/(x^2+3x-28)	$f (x) = \frac{5 x^{2} + 19 x - 4}{x^{2} + 3 x - 28}$
64987	Find the Asymptotes	f(x)=(7x)/(x+5)	$f (x) = \frac{7 x}{x + 5}$
64988	Find the Area Under the Curve	y=x^2+7x , [3,9]	$y = x^{2} + 7 x$ , $[3, 9]$
64989	Find the Maximum/Minimum Value	x^2+xy+y^2-7y+16	$x^{2} + x y + y^{2} - 7 y + 16$
64990	Convert to Interval Notation	3/(x+7)>3/(x-2)	$\frac{3}{x + 7} > \frac{3}{x - 2}$
64991	Convert to Interval Notation	1/x<2	$\frac{1}{x} < 2$
64992	Solve the System of @WORD	x^2-4x-12<0	$x^{2} - 4 x - 12 < 0$
64993	Find the Sum of the Infinite Geometric Series	4/3 , 16/3 , 64/3 , 256/3 , 1024/3	$\frac{4}{3}$ , $\frac{16}{3}$ , $\frac{64}{3}$ , $\frac{256}{3}$ , $\frac{1024}{3}$
64994	Find the Concavity	x/(x^2+100)	$\frac{x}{x^{2} + 100}$
64995	Find the Concavity	x^3-12x+1	$x^{3} - 12 x + 1$
64996	Find the Average Rate of Change	f(x)=x^2+3x , [1,8]	$f (x) = x^{2} + 3 x$ , $[1, 8]$
64997	Find the Average Rate of Change	y=-3x^2-x , [5,6]	$y = - 3 x^{2} - x$ , $[5, 6]$
64998	Evaluate the Function	g(-5.1)=(x+5)/(x-5)	$g (- 5.1) = \frac{x + 5}{x - 5}$
64999	Evaluate the Function	h(-3)=( square root of x+12-3)/(x+3)	$h (- 3) = \frac{\sqrt{x + 12} - 3}{x + 3}$
65000	Evaluate the Function	f(0.0001)=(1+5x)^(1/x)	$f (0.0001) = {(1 + 5 x)}^{\frac{1}{x}}$