Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
59401	Find the x and y Intercepts	f(x)=x^3-6x^2+9x	$f (x) = x^{3} - 6 x^{2} + 9 x$
59402	Find the Foci	9x^2-4y^2=36	$9 x^{2} - 4 y^{2} = 36$
59403	Find the Behavior (Leading Coefficient Test)	f(x)=-x^2-5x+6	$f (x) = - x^{2} - 5 x + 6$
59404	Evaluate the Function	f(x)=x^2 , x=12	$f (x) = x^{2}$ , $x = 12$
59405	Find the Intersection of the Functions	f(x)=6x+x^2-x^3 , g(x)=0	$f (x) = 6 x + x^{2} - x^{3}$ , $g (x) = 0$
59406	Find the Roots (Zeros)	x^2-2x+3	$x^{2} - 2 x + 3$
59407	Find the Roots (Zeros)	3x^2-12x+9	$3 x^{2} - 12 x + 9$
59408	Find the Derivative of the Integral	y = integral from 0 to tan(x) of 1/(1+t^2) with respect to t	$y = \int_{0}^{\tan (x)} \frac{1}{1 + t^{2}} d t$
59409	Find the Derivative of the Integral	g(x) = integral from 3sin(x) to 2 of (3t^3cos(3t)) with respect to t	$g (x) = \int_{3 \sin (x)}^{2} (3 t^{3} \cos (3 t)) d t$
59410	Find the Concavity	f(x)=2xe^x	$f (x) = 2 x e^{x}$
59411	Expand the Logarithmic Expression	natural log of x/( square root of x^4y^2)	$\ln (\frac{x}{\sqrt{x^{4} y^{2}}})$
59412	Find the Critical Points	y=x^(2/3)(x-2)	$y = x^{\frac{2}{3}} (x - 2)$
59413	Find the Second Derivative	f(x)=2xe^x	$f (x) = 2 x e^{x}$
59414	Identify the Polar Equation	r=8sin(4theta)	$r = 8 \sin (4 θ)$
59415	Identify the Polar Equation	r=2sec(theta)	$r = 2 \sec (θ)$
59416	Find the Vertices	9x^2+16y^2=144	$9 x^{2} + 16 y^{2} = 144$
59417	Write in Standard Form	theta=(4pi)/3	$θ = \frac{4 π}{3}$
59418	Eliminate the Parameter	x=t-3 , y=t^2+5	$x = t - 3$ , $y = t^{2} + 5$
59419	Find the Directrix	x^2=-20y	$x^{2} = - 20 y$
59420	Find @FORMULA	f(x)=x^3	$f (x) = x^{3}$
59421	Find the Fourth Derivative	f(x)=(2+3x)^4	$f (x) = {(2 + 3 x)}^{4}$
59422	Find the Second Derivative	f(x)=(x^2)/(8+x)	$f (x) = \frac{x^{2}}{8 + x}$
59423	Find the Foci	(x^2)/36+(y^2)/9=1	$\frac{x^{2}}{36} + \frac{y^{2}}{9} = 1$
59424	Find Where Increasing/Decreasing	f(x)=x^2-8x	$f (x) = x^{2} - 8 x$
59425	Find Where Increasing/Decreasing	f(x)=2x^2-4x-53	$f (x) = 2 x^{2} - 4 x - 53$
59426	Find Where Increasing/Decreasing	f(x)=x^2+2x+9	$f (x) = x^{2} + 2 x + 9$
59427	Find the Function	f'(x)=7/( square root of x)	$f' (x) = \frac{7}{\sqrt{x}}$
59428	Find f(g(x))	f(x)=6x-x^2-x^3 , g(x)=0	$f (x) = 6 x - x^{2} - x^{3}$ , $g (x) = 0$
59429	Find the Derivative of the Integral	integral of 9 with respect to x	$\int 9 d x$
59430	Find the Derivative of the Integral	integral from 1 to square root of x of 18t^7 with respect to t	$\int_{1}^{\sqrt{x}} 18 t^{7} d t$
59431	Find the Derivative of the Integral	g(x) = integral from 1 to x of t^4 with respect to t	$g (x) = \int_{1}^{x} t^{4} d t$
59432	Find the Roots (Zeros)	3x^2+2x-1	$3 x^{2} + 2 x - 1$
59433	Find the Roots (Zeros)	x^2+2x+5	$x^{2} + 2 x + 5$
59434	Find the Roots (Zeros)	x^2-2x+1	$x^{2} - 2 x + 1$
59435	Determine if Continuous	f(x)=(5x)/(2x-3)	$f (x) = \frac{5 x}{2 x - 3}$
59436	Identify the Polar Equation	r=6+4sin(theta)	$r = 6 + 4 \sin (θ)$
59437	Find the Focus	y^2=32x	$y^{2} = 32 x$
59438	Find @FORMULA	f(x)=1/x	$f (x) = \frac{1}{x}$
59439	Find the Focus	x^2=-20y	$x^{2} = - 20 y$
59440	Find the Directrix	x^2=-4y	$x^{2} = - 4 y$
59441	Find the Asymptotes	f(x)=(x+5)/(x+3)	$f (x) = \frac{x + 5}{x + 3}$
59442	Find the Maximum/Minimum Value	3x^3-3x^2-3x+7 , [-1,0]	$3 x^{3} - 3 x^{2} - 3 x + 7$ , $[- 1, 0]$
59443	Find the Asymptotes	f(x)=(3x-9)/(5x+30)	$f (x) = \frac{3 x - 9}{5 x + 30}$
59444	Find the Second Derivative	f(x)=xe^(-x)	$f (x) = x e^{- x}$
59445	Find the Second Derivative	f(x)=1/(x^2)	$f (x) = \frac{1}{x^{2}}$
59446	Find Where Increasing/Decreasing	f(x)=1/x	$f (x) = \frac{1}{x}$
59447	Find Where Increasing/Decreasing	f(x)=x^2-2x+1	$f (x) = x^{2} - 2 x + 1$
59448	Find Where Increasing/Decreasing	f(x)=x^2-6x-2	$f (x) = x^{2} - 6 x - 2$
59449	Find the Roots (Zeros)	x^3-3x-2	$x^{3} - 3 x - 2$
59450	Find the Intersection of the Functions	f(x)=12x+x^2-x^3 , g(x)=0	$f (x) = 12 x + x^{2} - x^{3}$ , $g (x) = 0$
59451	Find the Roots (Zeros)	x^2-6x+8	$x^{2} - 6 x + 8$
59452	Find the Roots (Zeros)	x^2-4	$x^{2} - 4$
59453	Find the Roots (Zeros)	x^2-2x-1	$x^{2} - 2 x - 1$
59454	Find the Roots (Zeros)	6x^2+6x-12	$6 x^{2} + 6 x - 12$
59455	Find f(g(x))	f(x)=2x+x^2-x^3 , g(x)=0	$f (x) = 2 x + x^{2} - x^{3}$ , $g (x) = 0$
59456	Find the Next Term	70 , 60 , 50	$70$ , $60$ , $50$
59457	Identify the Polar Equation	r=4+4cos(theta)	$r = 4 + 4 \cos (θ)$
59458	Find the Domain and Range	f(x)=(2x)/(3x-2)	$f (x) = \frac{2 x}{3 x - 2}$
59459	Eliminate the Parameter	x=t+4 , y=t^2	$x = t + 4$ , $y = t^{2}$
59460	Find the Maximum/Minimum Value	f(x)=x^3-3x+1	$f (x) = x^{3} - 3 x + 1$
59461	Convert to Rectangular Coordinates	(4,-pi/3)	$(4, - \frac{π}{3})$
59462	Find the Inverse	y=(2x+1)^3	$y = {(2 x + 1)}^{3}$
59463	Find the Roots (Zeros)	y=-x^2-3x	$y = - x^{2} - 3 x$
59464	Find the Area Under the Curve	f(x)=6x-12 ; [1,5]	$f (x) = 6 x - 12$ ; $[1, 5]$
59465	Find the Maximum/Minimum Value	f(x,y)=x^2+xy+y^2-37y+456	$f (x, y) = x^{2} + x y + y^{2} - 37 y + 456$
59466	Find the Second Derivative	f(x)=x^4	$f (x) = x^{4}$
59467	Find the Asymptotes	f(x)=x square root of 5-x	$f (x) = x \sqrt{5 - x}$
59468	Find the Foci	(x^2)/9-(y^2)/4=1	$\frac{x^{2}}{9} - \frac{y^{2}}{4} = 1$
59469	Find Where Undefined/Discontinuous	f(x)=4/(x^2+9)	$f (x) = \frac{4}{x^{2} + 9}$
59470	Find the Critical Points	y=3x^4+4x^3	$y = 3 x^{4} + 4 x^{3}$
59471	Find the Root Mean Square	y=x^4 , [-1,1]	$y = x^{4}$ , $[- 1, 1]$
59472	Find the Root Mean Square	y=sin(x) , [-2,4]	$y = \sin (x)$ , $[- 2, 4]$
59473	Find Where Increasing/Decreasing	f(x)=x^2-4x	$f (x) = x^{2} - 4 x$
59474	Find the Roots (Zeros)	x^2-9	$x^{2} - 9$
59475	Find the Second Derivative	x^2+4y^2=4	$x^{2} + 4 y^{2} = 4$
59476	Find the Average Rate of Change	y=2x^2 ; [0,5]	$y = 2 x^{2}$ ; $[0, 5]$
59477	Find the Vertices	(x^2)/49+(y^2)/36=1	$\frac{x^{2}}{49} + \frac{y^{2}}{36} = 1$
59478	Find the Vertices	9x^2+y^2=144	$9 x^{2} + y^{2} = 144$
59479	Find the Area Under the Curve	f(x)=4x-12 ; [2,6]	$f (x) = 4 x - 12$ ; $[2, 6]$
59480	Find the Roots (Zeros)	x^4=3-x	$x^{4} = 3 - x$
59481	Convert to Radical Form	8^(3/2)	$8^{\frac{3}{2}}$
59482	Divide Using Long Polynomial Division	(2x^3-x^2-48x+15)÷(x-5)	$(2 x^{3} - x^{2} - 48 x + 15) \div (x - 5)$
59483	Convert to Radical Form	x^(1/7)	$x^{\frac{1}{7}}$
59484	Find the Second Derivative	f(x,y)=8x^3y-7y^2+2x	$f (x, y) = 8 x^{3} y - 7 y^{2} + 2 x$
59485	Find the Maximum/Minimum Value	f(x,y)=x^2+xy+y^2-7y+16	$f (x, y) = x^{2} + x y + y^{2} - 7 y + 16$
59486	Find the Maximum/Minimum Value	f(x,y)=x^3+y^3-9xy	$f (x, y) = x^{3} + y^{3} - 9 x y$
59487	Find the Maximum/Minimum Value	f(x,y)=x^2+xy+y^2-31y+320	$f (x, y) = x^{2} + x y + y^{2} - 31 y + 320$
59488	Find the Second Derivative	f(x) = square root of x	$f (x) = \sqrt{x}$
59489	Find the Second Derivative	f(x)=2x^3-6x+20	$f (x) = 2 x^{3} - 6 x + 20$
59490	Evaluate the Function	f(x)=1/((-4.1)^2-16)	$f (x) = \frac{1}{{(- 4.1)}^{2} - 16}$
59491	Evaluate the Function	f(x)=7/( square root of x) , f(16)=65	$f (x) = \frac{7}{\sqrt{x}}$ , $f (16) = 65$
59492	Evaluate the Function	f(x,y)=8x+9y-6 , (7,5)	$f (x, y) = 8 x + 9 y - 6$ , $f (7, 5)$
59493	Find the Maximum/Minimum Value	x^4-2x^2	$x^{4} - 2 x^{2}$
59494	Find the Function	f'(x)=6x-5	$f' (x) = 6 x - 5$
59495	Find Where Increasing/Decreasing	f(x)=x^2-2x-8	$f (x) = x^{2} - 2 x - 8$
59496	Find the Roots (Zeros)	x^2-x+2	$x^{2} - x + 2$
59497	Find the Roots (Zeros)	3x^2-12	$3 x^{2} - 12$
59498	Find the x and y Intercepts	f(x)=x^3-20x^2+100x	$f (x) = x^{3} - 20 x^{2} + 100 x$
59499	Write in Standard Form	theta=(5pi)/6	$θ = \frac{5 π}{6}$
59500	Write in Standard Form	theta=(7pi)/6	$θ = \frac{7 π}{6}$