Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
9901	Find the Range	2cos(2x)-sin(x)=0	$2 \cos (2 x) - \sin (x) = 0$
9902	Find the Range	f(x)=1/(x-3)	$f (x) = \frac{1}{x - 3}$
9903	Find the Range	f(x) = square root of x+7+3	$f (x) = \sqrt{x + 7} + 3$
9904	Find the Range	2x^4+7x^3-7x^2+28x-60	$2 x^{4} + 7 x^{3} - 7 x^{2} + 28 x - 60$
9905	Find the Range	4^x+64(4^(-x))=20	$4^{x} + 64 (4^{- x}) = 20$
9906	Find the Range	0.3=2e^(-0.31t)	$0.3 = 2 \cdot e^{- 0.31 \cdot t}$
9907	Find the Range	s(1)=30e^(-0.3t)	$s (1) = 30 e^{- 0.3 t}$
9908	Solve over the Interval	arcsin(x)+arcsin(y)=pi/2 , (( square root of 2)/2,( square root of 2)/2)	$\arcsin (x) + \arcsin (y) = \frac{π}{2}$ , $(\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2})$
9909	Evaluate the Limit	limit as x approaches 7 of square root of x^2+8x+16	$lim_{x \to 7} \sqrt{x^{2} + 8 x + 16}$
9910	Graph	cot(0)=1/8	$\cot (0) = \frac{1}{8}$
9911	Find the Range	(1.01)^5=(1+10^-2)^5	${(1.01)}^{5} = {(1 + 10^{- 2})}^{5}$
9912	Solve for x	log base 2 of 8=3	$\log_{2} (8) = 3$
9913	Find the Asymptotes	(e^x)/x	$\frac{e^{x}}{x}$
9914	Find the Asymptotes	( square root of a square root of b)/( cube root of ab)	$\frac{\sqrt{a \sqrt{b}}}{\sqrt[3]{a b}}$
9915	Find the Asymptotes	(x^2+x-90)/(x+5)	$\frac{x^{2} + x - 90}{x + 5}$
9916	Find the Asymptotes	1/(x^2-9)	$\frac{1}{x^{2} - 9}$
9917	Solve for x	y = natural log of x/(x-1)	$y = \ln (\frac{x}{x - 1})$
9918	Solve for x	2x-1/4*(12x+4)=3	$2 x - \frac{1}{4} \cdot (12 x + 4) = 3$
9919	Solve for x	y = square root of x^2-5x-14	$y = \sqrt{x^{2} - 5 x - 14}$
9920	Solve for x	y=x/(x^2+9)	$y = \frac{x}{x^{2} + 9}$
9921	Solve for x	x/(x+1)+5/x=1/(x^2+x)	$\frac{x}{x + 1} + \frac{5}{x} = \frac{1}{x^{2} + x}$
9922	Solve for x	y=0.21t	$y = 0.21 t$
9923	Solve for x	y=(1+e^x)/(1-e^x)	$y = \frac{1 + e^{x}}{1 - e^{x}}$
9924	Solve for x	(8x^(-2/3))/3+(4x^(1/3))/3=0	$\frac{8 x^{- \frac{2}{3}}}{3} + \frac{4 x^{\frac{1}{3}}}{3} = 0$
9925	Find the Asymptotes	(2x)/( square root of x^2+x+1)	$\frac{2 x}{\sqrt{x^{2} + x + 1}}$
9926	Find the Asymptotes	(3x-2)/( square root of 2x^2+1)	$\frac{3 x - 2}{\sqrt{2 x^{2} + 1}}$
9927	Solve for x	y=arcsin(x)	$y = \arcsin (x)$
9928	Find the Asymptotes	(x^3-16)/x	$\frac{x^{3} - 16}{x}$
9929	Find the Asymptotes	(dr)/(dx)=-0.8x+240	$\frac{d r}{d x} = - 0.8 x + 240$
9930	Find the Asymptotes	3x^3+2x^2y-7xy^2+2y^3-14xy+7y^2+4x+5y=0	$3 x^{3} + 2 x^{2} y - 7 x y^{2} + 2 y^{3} - 14 x y + 7 y^{2} + 4 x + 5 y = 0$
9931	Find the Asymptotes	(3x square root of x)/(x^(1/2))	$\frac{3 x \sqrt{x}}{x^{\frac{1}{2}}}$
9932	Find the Asymptotes	y=(3+x^4)/(x^2-x^4)	$y = \frac{3 + x^{4}}{x^{2} - x^{4}}$
9933	Find the Asymptotes	square root of x^2-16	$\sqrt{x^{2} - 16}$
9934	Find the Asymptotes	xe^x	$x e^{x}$
9935	Find the Asymptotes	f(x)=(x^2-1)/(x^3+1)	$f (x) = \frac{x^{2} - 1}{x^{3} + 1}$
9936	Find the Asymptotes	f(x)=(x^2-36)/(2x+5)	$f (x) = \frac{x^{2} - 36}{2 x + 5}$
9937	Find the Asymptotes	f(x)=(x^2-9)/(x^2-4)	$f (x) = \frac{x^{2} - 9}{x^{2} - 4}$
9938	Find the Asymptotes	f(x)=(x^2-5x+6)/(x^2-2x)	$f (x) = \frac{x^{2} - 5 x + 6}{x^{2} - 2 x}$
9939	Find the Horizontal Tangent Line	y=x^2-4	$y = x^{2} - 4$
9940	Find the Asymptotes	f(x)=(x^2-6x+12)/(x-4)	$f (x) = \frac{x^{2} - 6 x + 12}{x - 4}$
9941	Find the Asymptotes	f(x)=(x^2-8)/(x-3)	$f (x) = \frac{x^{2} - 8}{x - 3}$
9942	Find the Critical Points	f(x)=(x+2)^(6/7)	$f (x) = {(x + 2)}^{\frac{6}{7}}$
9943	Find the Asymptotes	f(x)=(x^3-1)/(x^2-1)	$f (x) = \frac{x^{3} - 1}{x^{2} - 1}$
9944	Find the Asymptotes	f(x)=1/x-3	$f (x) = \frac{1}{x} - 3$
9945	Find the Asymptotes	f(x)=1/(x^3-1)	$f (x) = \frac{1}{x^{3} - 1}$
9946	Find the Asymptotes	f(x)=-1/(x-1)	$f (x) = \frac{- 1}{x - 1}$
9947	Find the Asymptotes	f(x)=(2x^2-3x)/(8x^2+8)	$f (x) = \frac{2 x^{2} - 3 x}{8 x^{2} + 8}$
9948	Find the Asymptotes	f(x)=(2x^2)/(9-x^2)	$f (x) = \frac{2 x^{2}}{9 - x^{2}}$
9949	Find the Asymptotes	f(x)=(12x)/(x^2-144)	$f (x) = \frac{12 x}{x^{2} - 144}$
9950	Find the Asymptotes	f(x)=(11x)/(x^2-121)	$f (x) = \frac{11 x}{x^{2} - 121}$
9951	Find the Asymptotes	f(x)=(2e^x)/(e^x-9)	$f (x) = \frac{2 e^{x}}{e^{x} - 9}$
9952	Find the Asymptotes	f(x)=(2e^x-6)/(e^x+1)	$f (x) = \frac{2 e^{x} - 6}{e^{x} + 1}$
9953	Find the Asymptotes	f(x)=(2x)/(sin(x))	$f (x) = \frac{2 x}{\sin (x)}$
9954	Find the Asymptotes	f(x)=(3x^2)/(x-4)	$f (x) = \frac{3 x^{2}}{x - 4}$
9955	Find the Asymptotes	f(x)=3/(x^2-1)	$f (x) = \frac{3}{x^{2} - 1}$
9956	Find the Asymptotes	f(x)=(3x^2+2x-16)/(x^2-7)	$f (x) = \frac{3 x^{2} + 2 x - 16}{x^{2} - 7}$
9957	Find the Asymptotes	f(x)=(2x)/(x^2-2x-15)	$f (x) = \frac{2 x}{x^{2} - 2 x - 15}$
9958	Find the Asymptotes	f(x)=(2x-3)/(x-5)	$f (x) = \frac{2 x - 3}{x - 5}$
9959	Find the Asymptotes	f(x)=(2x-4)/(x+2)	$f (x) = \frac{2 x - 4}{x + 2}$
9960	Find the Asymptotes	f(x)=(2x^3-16)/(x^3+1)	$f (x) = \frac{2 x^{3} - 16}{x^{3} + 1}$
9961	Find the Asymptotes	f(x)=(2x^2-8)/(x^2-16)	$f (x) = \frac{2 x^{2} - 8}{x^{2} - 16}$
9962	Find the Asymptotes	sixth root of x	$\sqrt[6]{x}$
9963	Find the Asymptotes	x/(x^2-2x-3)	$\frac{x}{x^{2} - 2 x - 3}$
9964	Find the Asymptotes	x^3-34x-12=0	$x^{3} - 34 x - 12 = 0$
9965	Find the Asymptotes	f(x)=(5x^2-9)/(8x+7)	$f (x) = \frac{5 x^{2} - 9}{8 x + 7}$
9966	Find the Asymptotes	f(x)=(x^2+5x-14)/(x^2-4)	$f (x) = \frac{x^{2} + 5 x - 14}{x^{2} - 4}$
9967	Find the Asymptotes	f(x)=(x^2-1)/(x+1)	$f (x) = \frac{x^{2} - 1}{x + 1}$
9968	Find the Asymptotes	f(x)=(x^2-16)/(x^2+4x)	$f (x) = \frac{x^{2} - 16}{x^{2} + 4 x}$
9969	Find the Asymptotes	f(x)=(x^2-2x)/(x^4-16)	$f (x) = \frac{x^{2} - 2 x}{x^{4} - 16}$
9970	Find the Asymptotes	f(x)=(x^2+2x+3)/(x^2-1)	$f (x) = \frac{x^{2} + 2 x + 3}{x^{2} - 1}$
9971	Find the Asymptotes	f(x)=(x-2)/(2x^2+3x-5)	$f (x) = \frac{x - 2}{2 x^{2} + 3 x - 5}$
9972	Find the Asymptotes	f(x)=( square root of x)/(x-4 square root of x+4)	$f (x) = \frac{\sqrt{x}}{x - 4 \sqrt{x} + 4}$
9973	Find the Asymptotes	f(x)=(x^2)/(x+2)	$f (x) = \frac{x^{2}}{x + 2}$
9974	Find the Asymptotes	x/( square root of 2x-1)	$\frac{x}{\sqrt{2 x - 1}}$
9975	Find the Asymptotes	x/( square root of x^2-4)	$\frac{x}{\sqrt{x^{2} - 4}}$
9976	Find the Asymptotes	f(x)=(x^2-9x+14)/(x^2-5x+6)	$f (x) = \frac{x^{2} - 9 x + 14}{x^{2} - 5 x + 6}$
9977	Find the Asymptotes	f(x)=((x-4)^2)/((x-2)^2)	$f (x) = \frac{{(x - 4)}^{2}}{{(x - 2)}^{2}}$
9978	Find the Derivative - d/dx	y=(1/(4-x^2))	$y = (\frac{1}{4 - x^{2}})$
9979	Find the Derivative - d/dx	y=( square root of x+1)e^(-2x)	$y = (\sqrt{x} + 1) e^{- 2 x}$
9980	Find the Derivative - d/dx	y=(x^3+2x-7)(3+x-x^2)	$y = (x^{3} + 2 x - 7) (3 + x - x^{2})$
9981	Find the Derivative - d/dx	y=(arctan(9x))^2
9982	Find the Derivative - d/dx	y=(1+x-x^2)e^x	$y = (1 + x - x^{2}) e^{x}$
9983	Find the Derivative - d/dx	y=(2x^2-4x+4)e^x	$y = (2 x^{2} - 4 x + 4) e^{x}$
9984	Find the Derivative - d/dx	y=e^(-3x)	$y = e^{- 3 x}$
9985	Find the Derivative - d/dx	y=4^(-6x)	$y = 4^{- 6 x}$
9986	Find the Derivative - d/dx	y=sin(e^(5x))^2+cos(e^(5x))^2	$y = \sin^{2} (e^{5 x}) + \cos^{2} (e^{5 x})$
9987	Find the Derivative - d/dt	y=cos( square root of 6t+11)	$y = \cos (\sqrt{6 t + 11})$
9988	Find the Derivative - d/dt	y = natural log of t^2	$y = \ln (t^{2})$
9989	Find the Derivative - d/dt	y=arctan( square root of 6t)	$y = \arctan (\sqrt{6 t})$
9990	Find the Derivative - d/dt	y=t^2+2t-3	$y = t^{2} + 2 t - 3$
9991	Find the Derivative - d/dt	y = square root of 6t+8	$y = \sqrt{6 t + 8}$
9992	Find the Derivative - d/dt	y=e^(cos(t)+ natural log of t)	$y = e^{\cos (t) + \ln (t)}$
9993	Find the Derivative - d/dt	y=e^(-2t)cos(4t)	$y = e^{- 2 t} \cos (4 t)$
9994	Find the Derivative - d/dt	y=e^(tan(pit))	$y = e^{\tan (π t)}$
9995	Find the Derivative - d/dt	y = natural log of (1-t)^-2	$y = \ln ({(1 - t)}^{- 2})$
9996	Find the Derivative - d/dt	y = square root of t/(t+1)	$y = \sqrt{\frac{t}{t + 1}}$
9997	Find the Derivative - d/dt	y=2+5t-8t^3	$y = 2 + 5 t - 8 t^{3}$
9998	Find the Derivative - d/dt	y=2-t	$y = 2 - t$
9999	Find the Derivative - d/dt	y=7cos(t)	$y = 7 \cos (t)$
10000	Find dz/dv	z=v^(3/2)(v+ce^v)	$z = v^{\frac{3}{2}} (v + c e^{v})$