Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
63701	Find the Inverse	x^3+4x-1	$x^{3} + 4 x - 1$
63702	Find the Inverse	square root of 25-x^2	$\sqrt{25 - x^{2}}$
63703	Find the Inverse	cube root of x-4	$\sqrt[3]{x - 4}$
63704	Find the Inverse	square root of 36-x^2	$\sqrt{36 - x^{2}}$
63705	Find the Inverse	square root of x+10	$\sqrt{x + 10}$
63706	Find the Inverse	natural log of x+1	$\ln (x + 1)$
63707	Find the Inverse	(7x-8)/(6x-5)	$\frac{7 x - 8}{6 x - 5}$
63708	Find the Inverse	12/(x^2+1)	$\frac{12}{x^{2} + 1}$
63709	Evaluate	-cos(pi/2)	$- \cos (\frac{π}{2})$
63710	Eliminate the Parameter	x=2t , y=t^2	$x = 2 t$ , $y = t^{2}$
63711	Eliminate the Parameter	x=1/4ty=t^2	$x = \frac{1}{4} t y = t^{2}$
63712	Eliminate the Parameter	x(t)=e^t , y(t)=2e^(-t)	$x (t) = e^{t}$ , $y (t) = 2 e^{- t}$
63713	Eliminate the Parameter	x=e^(2t) , y=2e^t	$x = e^{2 t}$ , $y = 2 e^{t}$
63714	Eliminate the Parameter	x=sec(t) , y=tan(t)	$x = \sec (t)$ , $y = \tan (t)$
63715	Eliminate the Parameter	x=t^2+1 , y=t^2-1	$x = t^{2} + 1$ , $y = t^{2} - 1$
63716	Eliminate the Parameter	x=t+1 , y=t^2+4t	$x = t + 1$ , $y = t^{2} + 4 t$
63717	Eliminate the Parameter	x=t+4 y=t^2-2	$x = t + 4$ $y = t^{2} - 2$
63718	Rationalize the Denominator	(x^2-100)/( square root of x- square root of 10)	$\frac{x^{2} - 100}{\sqrt{x} - \sqrt{10}}$
63719	Rationalize the Denominator	cube root of 7/3	$\sqrt[3]{\frac{7}{3}}$
63720	Find the Asymptotes	x^(5/3)-5x^(2/3)	$x^{\frac{5}{3}} - 5 x^{\frac{2}{3}}$
63721	Find the Difference Quotient	f(x) = square root of x+4	$f (x) = \sqrt{x + 4}$
63722	Find the Difference Quotient	f(x)=-4x^3	$f (x) = - 4 x^{3}$
63723	Find the Difference Quotient	f(x)=3-5x^3	$f (x) = 3 - 5 x^{3}$
63724	Find the Difference Quotient	f(x)=3x-5	$f (x) = 3 x - 5$
63725	Find the Asymptotes	(5x^2)/(x-3)	$\frac{5 x^{2}}{x - 3}$
63726	Find the Asymptotes	(e^x)/(e^x-e^-1)	$\frac{e^{x}}{e^{x} - e^{- 1}}$
63727	Find the Asymptotes	x/( square root of x^2+1)	$\frac{x}{\sqrt{x^{2} + 1}}$
63728	Find the Asymptotes	x/(x^2+16)	$\frac{x}{x^{2} + 16}$
63729	Find the Asymptotes	(x+9)/(x-9)	$\frac{x + 9}{x - 9}$
63730	Find the Asymptotes	(x^3+2x^2-3x)/(3x^2+3x-6)	$\frac{x^{3} + 2 x^{2} - 3 x}{3 x^{2} + 3 x - 6}$
63731	Find the Asymptotes	((x+1)^3)/((x-1)^2)	$\frac{{(x + 1)}^{3}}{{(x - 1)}^{2}}$
63732	Find the Asymptotes	(3e^x)/(e^x-2)	$\frac{3 e^{x}}{e^{x} - 2}$
63733	Find the Asymptotes	(4x)/(x-5)	$\frac{4 x}{x - 5}$
63734	Find the Asymptotes	(4x)/( square root of x^2+9)	$\frac{4 x}{\sqrt{x^{2} + 9}}$
63735	Find the Asymptotes	(2e^x)/(5-3e^x)	$\frac{2 e^{x}}{5 - 3 e^{x}}$
63736	Find the Asymptotes	(1-x)e^x	$(1 - x) e^{x}$
63737	Find the Sum of the Series	1+1/3+1/5+1/7+1/9+1/11	$1 + \frac{1}{3} + \frac{1}{5} + \frac{1}{7} + \frac{1}{9} + \frac{1}{11}$
63738	Find the Concavity	x^4-4x^2	$x^{4} - 4 x^{2}$
63739	Find the Concavity	x^4	$x^{4}$
63740	Find the Concavity	x^4+16x^3	$x^{4} + 16 x^{3}$
63741	Find Where Undefined/Discontinuous	(x^2-49)/(3x^2+22x+7)	$\frac{x^{2} - 49}{3 x^{2} + 22 x + 7}$
63742	Find the Concavity	4x^3-x^4	$4 x^{3} - x^{4}$
63743	Find the Concavity	3x^6-5x^5	$3 x^{6} - 5 x^{5}$
63744	Find the Concavity	(x-4)^3	${(x - 4)}^{3}$
63745	Find the Concavity	(x+1)^7-7x-2	${(x + 1)}^{7} - 7 x - 2$
63746	Find the Concavity	e^x(x+2)	$e^{x} (x + 2)$
63747	Find the Concavity	natural log of x^2+36	$\ln (x^{2} + 36)$
63748	Find the Concavity	1/3x^3-x	$\frac{1}{3} x^{3} - x$
63749	Find the Concavity	(x^2)/( square root of x+1)	$\frac{x^{2}}{\sqrt{x + 1}}$
63750	Find the 5th Term	sum from k=1 to n of k+7	$\sum_{k = 1}^{n} k + 7$
63751	Find All Complex Solutions	3x^2-3x+2=0	$3 x^{2} - 3 x + 2 = 0$
63752	Find All Complex Solutions	x^4-16=0	$x^{4} - 16 = 0$
63753	Find All Complex Solutions	x^2-4x+5=0	$x^{2} - 4 x + 5 = 0$
63754	Find the x and y Intercepts	y=(x^2)/(x^2+147)	$y = \frac{x^{2}}{x^{2} + 147}$
63755	Find the x and y Intercepts	y=3/(x-4)	$y = \frac{3}{x - 4}$
63756	Find the x and y Intercepts	y=144-x^2	$y = 144 - x^{2}$
63757	Find the x and y Intercepts	y=2+3x^2-x^3	$y = 2 + 3 x^{2} - x^{3}$
63758	Find the x and y Intercepts	y=-2x^2-16x-30	$y = - 2 x^{2} - 16 x - 30$
63759	Find the x and y Intercepts	9x^2+25y^2=225	$9 x^{2} + 25 y^{2} = 225$
63760	Find the x and y Intercepts	(x^2)/8+(y^2)/12=1	$\frac{x^{2}}{8} + \frac{y^{2}}{12} = 1$
63761	Find the x and y Intercepts	2x+4y=10	$2 x + 4 y = 10$
63762	Find the x and y Intercepts	y=e^x	$y = e^{x}$
63763	Find the x and y Intercepts	y=x square root of 16-x^2	$y = x \sqrt{16 - x^{2}}$
63764	Find the x and y Intercepts	y=4x+9	$y = 4 x + 9$
63765	Find the x and y Intercepts	y=-30x	$y = - 30 x$
63766	Find the x and y Intercepts	y=36-x^2	$y = 36 - x^{2}$
63767	Find the x and y Intercepts	y=x^2-2x+10	$y = x^{2} - 2 x + 10$
63768	Find Amplitude, Period, and Phase Shift	f(theta)=2tan(8/3theta)	$f (θ) = 2 \tan (\frac{8}{3} θ)$
63769	Evaluate the Integral	integral from 0 to 1 of (3x^3-x^2+2x-4)/( square root of x^2-3x+2) with respect to x	$\int_{0}^{1} \frac{(3 x^{3} - x^{2} + 2 x - 4)}{\sqrt{x^{2} - 3 x + 2}} d x$
63770	Find the Integral	integral from 0 to 1 of (3x^3-x^2+2x-4)/( square root of x^2-3x+2) with respect to x	$\int_{0}^{1} \frac{3 x^{3} - x^{2} + 2 x - 4}{\sqrt{x^{2} - 3 x + 2}} d x$
63771	Evaluate the Integral	integral from 0 to 1 of (3x^3-x^2+2x-4)/( square root of x^2-3x+2) with respect to x	$\int_{0}^{1} \frac{3 x^{3} - x^{2} + 2 x - 4}{\sqrt{x^{2} - 3 x + 2}} d x$
63772	Find the Derivative - d/dx	integral from 0 to 1 of (3x^3-x^2+2x-4)/( square root of x^2-3x+2) with respect to x	$\int_{0}^{1} \frac{3 x^{3} - x^{2} + 2 x - 4}{\sqrt{x^{2} - 3 x + 2}} d x$
63773	Find the Integral	integral from 0 to 1 of (3x^3-x^2+2x-4)/( square root of x^2-3x+2) with respect to x	$\int_{0}^{1} \frac{(3 x^{3} - x^{2} + 2 x - 4)}{\sqrt{x^{2} - 3 x + 2}} d x$
63774	Evaluate the Integral	integral from 0 to 1 of x^2-2x with respect to x	$\int_{0}^{1} x^{2} - 2 x d x$
63775	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-13x^2+36	$f (x) = x^{4} - 13 x^{2} + 36$
63776	Find the Derivative Using Chain Rule - d/dx	integral from 0 to 1 of (3x^3-X^2+2x-4)/( square root of x^2-3X+2) with respect to x	$\int_{0}^{1} \frac{3 x^{3} - X^{2} + 2 x - 4}{\sqrt{x^{2} - 3 X + 2}} d x$
63777	Graph	limit as x approaches -2 of f(x)	$lim_{x \to - 2} f (x)$
63778	Find the Derivative Using Product Rule - d/dx	integral from 0 to 1 of (3x^3-x^2+2x-4)/( square root of x^2-3x+2) with respect to x	$\int_{0}^{1} \frac{3 x^{3} - x^{2} + 2 x - 4}{\sqrt{x^{2} - 3 x + 2}} d x$
63779	Evaluate the Limit	limit as x approaches 4 of (x-4)/(x^2-5x+4)	$lim_{x \to 4} \frac{x - 4}{x^{2} - 5 x + 4}$
63780	Factor	6x^2-14x-40	$6 x^{2} - 14 x - 40$
63781	Evaluate the Limit	limit as x approaches -1 of (6x+5)/(5x-6)	$lim_{x \to - 1} \frac{6 x + 5}{5 x - 6}$
63782	Factor	4x^3-48x	$4 x^{3} - 48 x$
63783	Find the Antiderivative	1/(x^5)	$\frac{1}{x^{5}}$
63784	Evaluate the Limit	limit as x approaches 0 of (e^(2x)-1)/(e^x-1)	$lim_{x \to 0} \frac{e^{2 x} - 1}{e^{x} - 1}$
63785	Find the Antiderivative	1/2x	$\frac{1}{2} x$
63786	Simplify	((x^2-3x^x+2x-1)^(dx))/(x^2-6x+4)	$\frac{{(x^{2} - 3 x^{x} + 2 x - 1)}^{d x}}{x^{2} - 6 x + 4}$
63787	Find the Antiderivative	5/(x^2)	$\frac{5}{x^{2}}$
63788	Simplify	5k+8(8k+2)	$5 k + 8 (8 k + 2)$
63789	Evaluate the Limit	limit as x approaches 6 of (x^2+3x-54)/(x^2-36)	$lim_{x \to 6} \frac{x^{2} + 3 x - 54}{x^{2} - 36}$
63790	Find the Antiderivative	e^( square root of x)	$e^{\sqrt{x}}$
63791	Find the Derivative Using Quotient Rule - d/dx	integral from 0 to 1 of (3x^3-x^2+2x-4)/( square root of x^2-3x+2) with respect to x	$\int_{0}^{1} \frac{3 x^{3} - x^{2} + 2 x - 4}{\sqrt{x^{2} - 3 x + 2}} d x$
63792	Find the Antiderivative	4	$4$
63793	Find the Focus	x=y^2+14y-2	$x = y^{2} + 14 y - 2$
63794	Find the Antiderivative	1/(x+1)	$\frac{1}{x + 1}$
63795	Evaluate the Limit	limit as x approaches 0 of (1-cos(x))/(sin(x))	$lim_{x \to 0} \frac{1 - \cos (x)}{\sin (x)}$
63796	Find the Root Mean Square	y=x^3 , [0,5]	$y = x^{3}$ , $[0, 5]$
63797	Multiply	x*x^(1/2)	$x \cdot x^{\frac{1}{2}}$
63798	Find the Antiderivative	1/(e^x)	$\frac{1}{e^{x}}$
63799	Evaluate the Limit	limit as x approaches infinity of ( square root of 4x^2+4x)/(4x+1)	$lim_{x \to \infty} \frac{\sqrt{4 x^{2} + 4 x}}{4 x + 1}$
63800	Find the Antiderivative	integral from 0 to 1 of (3x^3-x^2+2x-4)/( square root of x^2-3x+2) with respect to x	$\int_{0}^{1} \frac{(3 x^{3} - x^{2} + 2 x - 4)}{\sqrt{x^{2} - 3 x + 2}} d x$