Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
59501	Find the Maximum/Minimum Value	f(x)=x^3-12x+2	$f (x) = x^{3} - 12 x + 2$
59502	Find the Maximum/Minimum Value	f(x)=x^2+8x+12	$f (x) = x^{2} + 8 x + 12$
59503	Find the Area Under the Curve	f(x)=1-x^2 ; [0,3]	$f (x) = 1 - x^{2}$ ; $[0, 3]$
59504	Find the Area Under the Curve	f(x)=2x-20 ; [9,13]	$f (x) = 2 x - 20$ ; $[9, 13]$
59505	Eliminate the Parameter	x=3t , y=t+7	$x = 3 t$ , $y = t + 7$
59506	Find the Domain and Range	(x^2)/25+(y^2)/16=1	$\frac{x^{2}}{25} + \frac{y^{2}}{16} = 1$
59507	Find the Asymptotes	y=e^(-x^2)	$y = e^{- x^{2}}$
59508	Find the Asymptotes	(x^2)/25-(y^2)/49=1	$\frac{x^{2}}{25} - \frac{y^{2}}{49} = 1$
59509	Find the Asymptotes	y=1/(e^x+1)	$y = \frac{1}{e^{x} + 1}$
59510	Find the Second Derivative	4x^2+y^2=9	$4 x^{2} + y^{2} = 9$
59511	Find the Second Derivative	y = fifth root of x	$y = \sqrt[5]{x}$
59512	Find the Maximum/Minimum Value	y=x/(x^2+4)	$y = \frac{x}{x^{2} + 4}$
59513	Find the Maximum/Minimum Value	f(x,y)=x^2+xy+y^2-y	$f (x, y) = x^{2} + x y + y^{2} - y$
59514	Find the Maximum/Minimum Value	x/(x^2+1)	$\frac{x}{x^{2} + 1}$
59515	Write as a Function of n	sum from i=1 to n of (8i+5)/(n^2)	$\sum_{i = 1}^{n} \frac{8 i + 5}{n^{2}}$
59516	Find the Intersection of the Functions	f(x)=8x-2x^2-x^3 , g(x)=0	$f (x) = 8 x - 2 x^{2} - x^{3}$ , $g (x) = 0$
59517	Solve the System of @WORD	-8<1-6x<5	$- 8 < 1 - 6 x < 5$
59518	Find the Critical Points	y=x^(4/5)(x-1)	$y = x^{\frac{4}{5}} (x - 1)$
59519	Find the Critical Points	y=x^3-6x^2-135x	$y = x^{3} - 6 x^{2} - 135 x$
59520	Find Where Increasing/Decreasing	f(x)=- square root of x+3	$f (x) = - \sqrt{x + 3}$
59521	Find g(f(x))	f(x)=6x+x^2-x^3 , g(x)=0	$f (x) = 6 x + x^{2} - x^{3}$ , $g (x) = 0$
59522	Convert to Radical Form	10^(3/2)	$10^{\frac{3}{2}}$
59523	Convert to Rectangular	theta=(5pi)/3	$θ = \frac{5 π}{3}$
59524	Find the Slope	theta=(2pi)/3	$θ = \frac{2 π}{3}$
59525	Find the x and y Intercepts	f(x)=x+108/(x^2)	$f (x) = x + \frac{108}{x^{2}}$
59526	Find the Maximum/Minimum Value	f(x)=x^3-3x^2	$f (x) = x^{3} - 3 x^{2}$
59527	Find the Maximum/Minimum Value	f(x)=x^4-6x^2	$f (x) = x^{4} - 6 x^{2}$
59528	Find the Maximum/Minimum Value	f(x)=xe^(-x)	$f (x) = x e^{- x}$
59529	Find the Maximum/Minimum Value	f(x)=x^2-4	$f (x) = x^{2} - 4$
59530	Find the Maximum/Minimum Value	f(x)=x^2-8x	$f (x) = x^{2} - 8 x$
59531	Find the Maximum/Minimum Value	f(x)=2x^3+x	$f (x) = 2 x^{3} + x$
59532	Find the Maximum/Minimum Value	f(x)=4x^3-3x^4	$f (x) = 4 x^{3} - 3 x^{4}$
59533	Find the Area Under the Curve	f(x)=1-x^2 ; [0,2]	$f (x) = 1 - x^{2}$ ; $[0, 2]$
59534	Find the Area Under the Curve	f(x)=4x-20 ; [4,8]	$f (x) = 4 x - 20$ ; $[4, 8]$
59535	Find the Area Under the Curve	f(x)=e^x ; [-3,4]	$f (x) = e^{x}$ ; $[- 3, 4]$
59536	Find the Area Under the Curve	f(x)=75-3x^2 ; [0,7]	$f (x) = 75 - 3 x^{2}$ ; $[0, 7]$
59537	Find the Domain and Range	4x^2+4y^2=64	$4 x^{2} + 4 y^{2} = 64$
59538	Convert to Rectangular Coordinates	(-7,120 degrees )	$(- 7, 120 °)$
59539	Convert to Rectangular Coordinates	(6,(5pi)/3)	$(6, \frac{5 π}{3})$
59540	Convert to Rectangular Coordinates	(6,(7pi)/3)	$(6, \frac{7 π}{3})$
59541	Convert to Rectangular	theta=(7pi)/4	$θ = \frac{7 π}{4}$
59542	Find the Function	f'(x)=10x-9	$f' (x) = 10 x - 9$
59543	Find the Critical Points	y=x^(2/5)(x+3)	$y = x^{\frac{2}{5}} (x + 3)$
59544	Find Where Undefined/Discontinuous	f(x)=(x^2-49)/(x-7)	$f (x) = \frac{x^{2} - 49}{x - 7}$
59545	Find the Maximum/Minimum Value	f(x)=e^(-x^2)	$f (x) = e^{- x^{2}}$
59546	Find the Horizontal Tangent Line	y^3-27y=x^2-90	$y^{3} - 27 y = x^{2} - 90$
59547	Write in Standard Form	theta=(3pi)/4	$θ = \frac{3 π}{4}$
59548	Find Where Increasing/Decreasing Using Derivatives	f'(x)=(2x-1)(x+1)(x-3)	$f' (x) = (2 x - 1) (x + 1) (x - 3)$
59549	Find the x and y Intercepts	f(x)=x natural log of x	$f (x) = x \ln (x)$
59550	Find the x and y Intercepts	f(x)=4x^3-x^4	$f (x) = 4 x^{3} - x^{4}$
59551	Find the Slope	f(3)=7 , g(4)=2	$f (3) = 7$ , $g (4) = 2$
59552	Find the Intersection of the Functions	f(x)=6x-x^2-x^3 , g(x)=0	$f (x) = 6 x - x^{2} - x^{3}$ , $g (x) = 0$
59553	Find the Intersection of the Functions	f(x)=12x-x^2-x^3 , g(x)=0	$f (x) = 12 x - x^{2} - x^{3}$ , $g (x) = 0$
59554	Find the Maximum/Minimum Value	f(x,y)=x^2+xy+y^2-22y+161	$f (x, y) = x^{2} + x y + y^{2} - 22 y + 161$
59555	Find the Vertices	(x^2)/16+(y^2)/36=1	$\frac{x^{2}}{16} + \frac{y^{2}}{36} = 1$
59556	Find the Second Derivative	s=5t^4-4t^5	$s = 5 t^{4} - 4 t^{5}$
59557	Find the Domain and Range	-3x^2+12y^2=84	$- 3 x^{2} + 12 y^{2} = 84$
59558	Find the Maximum/Minimum Value	x^2e^x	$x^{2} e^{x}$
59559	Find the Maximum/Minimum Value	xe^(-x)	$x e^{- x}$
59560	Eliminate the Parameter	x = square root of t , y=2t+5	$x = \sqrt{t}$ , $y = 2 t + 5$
59561	Use the Limit Definition to Find the Derivative	f(x)=x^2+2x	$f (x) = x^{2} + 2 x$
59562	Find the Derivative - d/dx	Xe^x	$X e^{x}$
59563	Find the Derivative - d/dx	e^(-2x)	$e^{- 2 x}$
59564	Convert to Polar Coordinates	(-2,9)	$(- 2, 9)$
59565	Find the Antiderivative	1/(X^3)	$\frac{1}{X^{3}}$
59566	Find the Antiderivative	cube root of X	$\sqrt[3]{X}$
59567	Find the Antiderivative	tan(x)	$\tan (x)$
59568	Find the Critical Points	f(x)=-x^2	$f (x) = - x^{2}$
59569	Find the Antiderivative	natural log of x	$\ln (x)$
59570	Find the Antiderivative	cos(x)	$\cos (x)$
59571	Find the Integral	x^2-6x	$x^{2} - 6 x$
59572	Find the Antiderivative	3 square root of x	$3 \sqrt{x}$
59573	Find the Antiderivative	1/(x^4)	$\frac{1}{x^{4}}$
59574	Find the Integral	4	$4$
59575	Find the Derivative - d/dx	x^2+3x-5	$x^{2} + 3 x - 5$
59576	Find the Derivative - d/dx	x^5+9x^4-6x^3-2x^2+10x-1	$x^{5} + 9 x^{4} - 6 x^{3} - 2 x^{2} + 10 x - 1$
59577	Find the Derivative - d/dx	(x^3-2x)^2	${(x^{3} - 2 x)}^{2}$
59578	Evaluate the Limit	limit as x approaches infinity of 16x-8	$lim_{x \to \infty} 16 x - 8$
59579	Find the Antiderivative	xe^(x^2)	$x e^{x^{2}}$
59580	Find the Antiderivative	3	$3$
59581	Find the Antiderivative	1/(2x)	$\frac{1}{2 x}$
59582	Evaluate the Limit	limit as x approaches infinity of (x^2)/(e^x)	$lim_{x \to \infty} \frac{x^{2}}{e^{x}}$
59583	Find the Antiderivative	3/(x^2)	$\frac{3}{x^{2}}$
59584	Find dy/dx	x^2+xy-3y=3	$x^{2} + x y - 3 y = 3$
59585	Find the Antiderivative	4/(x^2)	$\frac{4}{x^{2}}$
59586	Evaluate the Limit	limit as x approaches infinity of ((2x-1)(3-x))/((x-1)(x+3))	$lim_{x \to \infty} \frac{(2 x - 1) (3 - x)}{(x - 1) (x + 3)}$
59587	Find the Derivative - d/dy	x/y	$\frac{x}{y}$
59588	Check if Differentiable Over an Interval	f(x)=3x^3+x+3 , (5,7)	$f (x) = 3 x^{3} + x + 3$ , $(5, 7)$
59589	Find Where dy/dx is Equal to Zero	y=x^4+8	$y = x^{4} + 8$
59590	Multiply	x* square root of x	$x \cdot \sqrt{x}$
59591	Evaluate the Limit	limit as x approaches infinity of (x^3)/(e^(3x))	$lim_{x \to \infty} \frac{x^{3}}{e^{3 x}}$
59592	Multiply	e^x*e^x	$e^{x} \cdot e^{x}$
59593	Evaluate the Limit	limit as x approaches infinity of ( natural log of e^(3x)+x)/x	$lim_{x \to \infty} \frac{\ln (e^{3 x} + x)}{x}$
59594	Evaluate the Summation	sum from t=1 to 8 of 1000(1/2)^(t-1)	$\sum_{t = 1}^{8} 1000 {(\frac{1}{2})}^{t - 1}$
59595	Find Where dy/dx is Equal to Zero	y=x(x-2)	$y = x (x - 2)$
59596	Find the Integral	1/Y	$\frac{1}{Y}$
59597	Find the Integral	integral of 1/x with respect to x	$\int \frac{1}{x} d x$
59598	Solve for t	30e^(4t)=6	$30 e^{4 t} = 6$
59599	Evaluate the Summation	sum from t=1 to 20 of 4-3t	$\sum_{t = 1}^{20} 4 - 3 t$
59600	Find the Volume	y=x^3 , y=0 , x=1 , x=3	$y = x^{3}$ , $y = 0$ , $x = 1$ , $x = 3$