Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
9801	Graph	f(x)=x^3-27x	$f (x) = x^{3} - 27 x$
9802	Graph	f(x)=x^3-6x^2-63x	$f (x) = x^{3} - 6 x^{2} - 63 x$
9803	Graph	f(x)=x^4-8x^2	$f (x) = x^{4} - 8 x^{2}$
9804	Graph	f(x)=xe^x	$f (x) = x e^{x}$
9805	Graph	f(x)=xe^(-x)	$f (x) = x e^{- x}$
9806	Graph	x=2 square root of y	$x = 2 \sqrt{y}$
9807	Graph	x square root of 2-x^2	$x \sqrt{2 - x^{2}}$
9808	Evaluate the Integral	integral of 6e^x with respect to x	$\int 6 e^{x} d x$
9809	Graph	x=y^2-5y	$x = y^{2} - 5 y$
9810	Graph	x=4+y^2	$x = 4 + y^{2}$
9811	Graph	y=2x^2+5x	$y = 2 x^{2} + 5 x$
9812	Graph	y=2x^3+9x^2-24x-10	$y = 2 x^{3} + 9 x^{2} - 24 x - 10$
9813	Graph	y=2x^3-24x-6	$y = 2 x^{3} - 24 x - 6$
9814	Graph	y=14x-2x^2	$y = 14 x - 2 x^{2}$
9815	Graph	y=12x-3x^2	$y = 12 x - 3 x^{2}$
9816	Graph	y=17x-6x^2	$y = 17 x - 6 x^{2}$
9817	Graph	y=2((\|x\|+1)/3)	$y = 2 (\frac{\| x \| + 1}{3})$
9818	Graph	y=x^3y=4x^2	$y = x^{3} y = 4 x^{2}$
9819	Graph	y=x^3-4x^2-3x+2	$y = x^{3} - 4 x^{2} - 3 x + 2$
9820	Graph	y=x^3-3x+5	$y = x^{3} - 3 x + 5$
9821	Graph	y=x^3-3x^2+3	$y = x^{3} - 3 x^{2} + 3$
9822	Graph	y=-x^2-5x+6	$y = - x^{2} - 5 x + 6$
9823	Graph	y = square root of 49-x^2	$y = \sqrt{49 - x^{2}}$
9824	Graph	y = square root of x^2+x-x	$y = \sqrt{x^{2} + x} - x$
9825	Graph	y=x^(5/3)-5x^(2/3)	$y = x^{\frac{5}{3}} - 5 x^{\frac{2}{3}}$
9826	Graph	y=x^(2/5)	$y = x^{\frac{2}{5}}$
9827	Graph	y=x^2e^x	$y = x^{2} e^{x}$
9828	Find the Critical Points	f(x)=x^4-4x^3+2	$f (x) = x^{4} - 4 x^{3} + 2$
9829	Graph	y=3x^3-36x-1	$y = 3 x^{3} - 36 x - 1$
9830	Graph	y=2x-x^2	$y = 2 x - x^{2}$
9831	Graph	y=3x^2+5x	$y = 3 x^{2} + 5 x$
9832	Graph	y=cos(pix)	$y = \cos (π x)$
9833	Graph	y=sin(1/x)	$y = \sin (\frac{1}{x})$
9834	Find the Concavity	(x^2)/(x^2-4)	$\frac{x^{2}}{x^{2} - 4}$
9835	Graph	y=x+cos(x)	$y = x + \cos (x)$
9836	Graph	f(x)=\|x^2-6x+5\|	$f (x) = \| x^{2} - 6 x + 5 \|$
9837	Evaluate the Limit	limit as t approaches 0 of (sin(3t))/(2t)	$lim_{t \to 0} \frac{\sin (3 t)}{2 t}$
9838	Determine if Continuous	f(x)=(x^2-9)/(x-3)	$f (x) = \frac{x^{2} - 9}{x - 3}$
9839	Determine if Continuous	f(x)=(x^2-25)/(x+5)	$f (x) = \frac{x^{2} - 25}{x + 5}$
9840	Determine if Continuous	f(x) = square root of x-5	$f (x) = \sqrt{x - 5}$
9841	Determine if Continuous	f(x)=1/(x^2)	$f (x) = \frac{1}{x^{2}}$
9842	Determine if Continuous	f(x)=1/x	$f (x) = \frac{1}{x}$
9843	Determine if Continuous	f(x)=0	$f (x) = 0$
9844	Determine if Continuous	f(x)=2x^2+x-1	$f (x) = 2 x^{2} + x - 1$
9845	Determine if Continuous	f(x)=3x-4	$f (x) = 3 x - 4$
9846	Determine if Continuous	f(x)=2x	$f (x) = 2 x$
9847	Determine if Continuous	g(x)=(2x^2+5)/(2x-10)	$g (x) = \frac{2 x^{2} + 5}{2 x - 10}$
9848	Find the Derivative - d/dx	y=4x^2e^x	$y = 4 x^{2} e^{x}$
9849	Graph	(x+9)/(x-3)	$\frac{x + 9}{x - 3}$
9850	Determine if True	0=2tan(pi/3)	$0 = 2 \tan (\frac{π}{3})$
9851	Find the Derivative - d/dp	pe^(rt)	$p e^{r t}$
9852	Find the Derivative - d/dx	(2x+5)^7(3x^2+1)^9	${(2 x + 5)}^{7} {(3 x^{2} + 1)}^{9}$
9853	Evaluate	cos(1)-1	$\cos (1) - 1$
9854	Evaluate the Integral	integral of x^2-3x+5 with respect to x	$\int x^{2} - 3 x + 5 d x$
9855	Find the Derivative - d/dy	y=sin( cube root of x)+ cube root of sin(6x)	$y = \sin (\sqrt[3]{x}) + \sqrt[3]{\sin (6 x)}$
9856	Find the Derivative - d/dy	y = log of x/(x-1)	$y = \log (\frac{x}{x - 1})$
9857	Evaluate the Integral	integral of x^2-5x+3 with respect to x	$\int x^{2} - 5 x + 3 d x$
9858	Find the Derivative - d/dy	y=sin(x)cos(x)	$y = \sin (x) \cos (x)$
9859	Find the Derivative - d/dy	y=sin(pi)+3	$y = \sin (π) + 3$
9860	Find the Derivative - d/dy	y=sin(h(cos(h(x))))	$y = \sinh (\cosh (x))$
9861	Find the Derivative - d/dy	y=tan(x)+cot(x)	$y = \tan (x) + \cot (x)$
9862	Find the Derivative - d/dy	y=x square root of x^2+1	$y = x \sqrt{x^{2} + 1}$
9863	Find the 2nd Derivative	p(t)=(2000t)/(4t+75)	$p (t) = \frac{2000 t}{4 t + 75}$
9864	Find the Derivative - d/dy	y=xsin(1/x)	$y = x \sin (\frac{1}{x})$
9865	Find the Derivative - d/dz	y=(sec(2x))/(1+tan(2x))	$y = \frac{\sec (2 x)}{1 + \tan (2 x)}$
9866	Find the Derivative - d/dz	y=(-8z-6)/(9z-3)	$y = \frac{- 8 z - 6}{9 z - 3}$
9867	Find the Derivative - d/dz	y = natural log of (e^(7x))/(1+e^(7x))	$y = \ln (\frac{e^{7 x}}{1 + e^{7 x}})$
9868	Find the Derivative - d/dZ	y = natural log of cos( natural log of x)	$y = \ln (\cos (\ln (x)))$
9869	Find the Derivative - d/dZ	y=tan(x)sec(x)	$y = \tan (x) \sec (x)$
9870	Evaluate the Integral	integral of 9/x with respect to x	$\int \frac{9}{x} d x$
9871	Solve over the Interval	y=3x , [1,3]	$y = 3 x$ , $[1, 3]$
9872	Solve over the Interval	x^3+y^3=26 , (-1,3)	$x^{3} + y^{3} = 26$ , $(- 1, 3)$
9873	Solve over the Interval	ysin(16x)=xcos(2y) , (pi/2,pi/4)	$y \sin (16 x) = x \cos (2 y)$ , $(\frac{π}{2}, \frac{π}{4})$
9874	Solve over the Interval	y=49-x^2 , [-7,7]	$y = 49 - x^{2}$ , $[- 7, 7]$
9875	Solve over the Interval	3sin(x)^2=cos(x)^2 , 0<x<2pi	$3 \sin^{2} (x) = \cos^{2} (x)$ , $0 < x < 2 π$
9876	Solve over the Interval	y=sin(sin(x)) , (pi,0)	$y = \sin (\sin (x))$ , $(π, 0)$
9877	Solve over the Interval	y=e^x , [0,4]	$y = e^{x}$ , $[0, 4]$
9878	Solve over the Interval	y=e^(-x) , [0,4]	$y = e^{- x}$ , $[0, 4]$
9879	Solve over the Interval	y=e^x , [0,5]	$y = e^{x}$ , $[0, 5]$
9880	Solve over the Interval	sin(2x)=sin(x) , 0=x=2pi	$\sin (2 x) = \sin (x)$ , $0 = x = 2 π$
9881	Solve over the Interval	y=3/(x-2) , [4,7]	$y = \frac{3}{x - 2}$ , $[4, 7]$
9882	Solve over the Interval	y=e^(2x) , [0,5]	$y = e^{2 x}$ , $[0, 5]$
9883	Solve over the Interval	y=4sec(x)-8cos(x) , (pi/3,4)	$y = 4 \sec (x) - 8 \cos (x)$ , $(\frac{π}{3}, 4)$
9884	Solve over the Interval	sec(x-2)^2=tan(x)^2 , [0,2pi]	$\sec^{2} (x - 2) = \tan^{2} (x)$ , $[0, 2 π]$
9885	Find the Range	y=x/(x-1)	$y = \frac{x}{x - 1}$
9886	Find the Range	y=7/(2x-10)	$y = \frac{7}{2 x - 10}$
9887	Find the Range	y = square root of x^2-4	$y = \sqrt{x^{2} - 4}$
9888	Find the Range	y=\|x\|-2	$y = \| x \| - 2$
9889	Find the Range	y=\|x+3\|-2	$y = \| x + 3 \| - 2$
9890	Find the Range	y=1/2x^2-x	$y = \frac{1}{2} x^{2} - x$
9891	Find the Range	y=x^4	$y = x^{4}$
9892	Find the Range	y=4-2^(-x)	$y = 4 - 2^{- x}$
9893	Solve for x	x^4-8x^2-12=0	$x^{4} - 8 x^{2} - 12 = 0$
9894	Solve for x	z^3+1=0	$z^{3} + 1 = 0$
9895	Find the Range	f(x)=3+ square root of 8-x	$f (x) = 3 + \sqrt{8 - x}$
9896	Find the Range	f(x) = square root of 25-x^2	$f (x) = \sqrt{25 - x^{2}}$
9897	Find the Range	f(x) = natural log of 3x^2-2x	$f (x) = \ln (3 x^{2} - 2 x)$
9898	Find the Range	G(t)=500(3t^2+100t+150)	$G (t) = 500 (3 t^{2} + 100 t + 150)$
9899	Find the Range	h=2+24.5t-4.9t^2	$h = 2 + 24.5 t - 4.9 t^{2}$
9900	Find the Range	r=sin(2x)	$r = \sin (2 x)$