Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
60901	Find the Antiderivative	f(t)=4t^4+5t^5+6t^6	$f (t) = 4 t^{4} + 5 t^{5} + 6 t^{6}$
60902	Find the Antiderivative	f(t)=3t	$f (t) = 3 t$
60903	Find the Antiderivative	f(x)=4/5-3/x	$f (x) = \frac{4}{5} - \frac{3}{x}$
60904	Find the Antiderivative	f(x)=(2x-3)^3	$f (x) = {(2 x - 3)}^{3}$
60905	Find the Antiderivative	f(x)=1/(2x)	$f (x) = \frac{1}{2 x}$
60906	Find the Antiderivative	f(x)=1/6x	$f (x) = \frac{1}{6} x$
60907	Find the Antiderivative	f(x)=(2x^4+4x^3-x)/(x^3)	$f (x) = \frac{2 x^{4} + 4 x^{3} - x}{x^{3}}$
60908	Find the Antiderivative	f(x)=400-x/3	$f (x) = 400 - \frac{x}{3}$
60909	Find the Antiderivative	f(x)=3x- square root of x	$f (x) = 3 x - \sqrt{x}$
60910	Find the Antiderivative	f(x)=29x^28	$f (x) = 29 x^{28}$
60911	Find the Antiderivative	f(x)=10x	$f (x) = 10 x$
60912	Find the Antiderivative	f(x)=12	$f (x) = 12$
60913	Find the Antiderivative	f(x)=10x^9	$f (x) = 10 x^{9}$
60914	Find the Antiderivative	f(x)=18x	$f (x) = 18 x$
60915	Find the Antiderivative	f(x)=18x^2-14x+9	$f (x) = 18 x^{2} - 14 x + 9$
60916	Find the Antiderivative	f(x)=7e^x	$f (x) = 7 e^{x}$
60917	Find the Antiderivative	f(x)=7x^(2/5)+5x^(-4/5)	$f (x) = 7 x^{\frac{2}{5}} + 5 x^{- \frac{4}{5}}$
60918	Find the Antiderivative	f(x)=-5x^-6	$f (x) = - 5 x^{- 6}$
60919	Find the Antiderivative	f(x)=x^2-7x+5	$f (x) = x^{2} - 7 x + 5$
60920	Find the Antiderivative	f(x)=x^6-4x^4+x+1	$f (x) = x^{6} - 4 x^{4} + x + 1$
60921	Find the Antiderivative	f(x)=x(18x+4)	$f (x) = x (18 x + 4)$
60922	Find the Antiderivative	f(x)=x^-2	$f (x) = x^{- 2}$
60923	Find the Antiderivative	f(x)=e^(5x)	$f (x) = e^{5 x}$
60924	Find the Antiderivative	f(x)=sin(6x)	$f (x) = \sin (6 x)$
60925	Find the Antiderivative	q(y)=y^9+1/y	$q (y) = y^{9} + \frac{1}{y}$
60926	Find the Antiderivative	q(y)=y^6+1/y	$q (y) = y^{6} + \frac{1}{y}$
60927	Find the Antiderivative	g(z) = square root of z^15	$g (z) = \sqrt{z^{15}}$
60928	Find the Antiderivative	g(t)=t^4+t^3	$g (t) = t^{4} + t^{3}$
60929	Find the Antiderivative	g(t)=e^(-5t)	$g (t) = e^{- 5 t}$
60930	Find the Antiderivative	g(t)=t^10+t^9	$g (t) = t^{10} + t^{9}$
60931	Convert to Rectangular Coordinates	(4,45 degrees )	$(4, 45 °)$
60932	Convert to Rectangular Coordinates	(3,90 degrees )	$(3, 90 °)$
60933	Convert to Rectangular Coordinates	(-5,1/2pi)	$(- 5, \frac{1}{2} π)$
60934	Convert to Rectangular Coordinates	(- square root of 5,116.6 degrees )	$(- \sqrt{5}, 116.6 °)$
60935	Find Where Increasing/Decreasing Using Derivatives	f(x)=4/(x+7)	$f (x) = \frac{4}{x + 7}$
60936	Find Where Increasing/Decreasing Using Derivatives	f(x)=3/(x+5)	$f (x) = \frac{3}{x + 5}$
60937	Evaluate from the Left	limit as x approaches 0 of (1+x)^(1/x)	$lim_{x \to 0} {(1 + x)}^{\frac{1}{x}}$
60938	Find Where Increasing/Decreasing Using Derivatives	f(x)=3x^4-6x^2+9	$f (x) = 3 x^{4} - 6 x^{2} + 9$
60939	Find Where Increasing/Decreasing Using Derivatives	f(x)=3x^4-24x^3+48x^2	$f (x) = 3 x^{4} - 24 x^{3} + 48 x^{2}$
60940	Find Where Increasing/Decreasing Using Derivatives	f(x)=4x-2x^-2	$f (x) = 4 x - 2 x^{- 2}$
60941	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3+5x	$f (x) = x^{3} + 5 x$
60942	Find Where Increasing/Decreasing Using Derivatives	f(x)=e^(3x)+e^(-x)	$f (x) = e^{3 x} + e^{- x}$
60943	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x-4)(x^2-8x-32)	$f (x) = (x - 4) (x^{2} - 8 x - 32)$
60944	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3-21x^2-108x	$f (x) = 2 x^{3} - 21 x^{2} - 108 x$
60945	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x^3)/(x^2-9)	$f (x) = \frac{x^{3}}{x^{2} - 9}$
60946	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x^2-15)/(x-4)	$f (x) = \frac{x^{2} - 15}{x - 4}$
60947	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x^2-35)/(x-6)	$f (x) = \frac{x^{2} - 35}{x - 6}$
60948	Find Where Increasing/Decreasing Using Derivatives	h(x)=x^3+x^2	$h (x) = x^{3} + x^{2}$
60949	Find Where Increasing/Decreasing Using Derivatives	h(x)=5x^3-3x^5	$h (x) = 5 x^{3} - 3 x^{5}$
60950	Find Where Increasing/Decreasing Using Derivatives	f(x)=-x^3-7x	$f (x) = - x^{3} - 7 x$
60951	Find f(g(x))	f(x)=12x-x^2-x^3 , g(x)=0	$f (x) = 12 x - x^{2} - x^{3}$ , $g (x) = 0$
60952	Find the Derivative - d/dz	y=(z^2+e^z) square root of z	$y = (z^{2} + e^{z}) \sqrt{z}$
60953	Find the Derivative - d/du	u^6	$u^{6}$
60954	Find the Derivative - d/du	u = cube root of t+6 square root of t^3	$u = \sqrt[3]{t} + 6 \sqrt{t^{3}}$
60955	Find the Derivative - d/dV	V=pir^2h	$V = π r^{2} h$
60956	Find the Derivative - d/du	u^3e^(-u)	$u^{3} e^{- u}$
60957	Find the Derivative - d/dr	y=(r^2-10r)e^r	$y = (r^{2} - 10 r) e^{r}$
60958	Find the Derivative - d/ds	square root of s	$\sqrt{s}$
60959	Find the Derivative - d/dr	y=4/3pir^3	$y = \frac{4}{3} π r^{3}$
60960	Find the Derivative - d/dq	2q+q^3+e^q	$2 q + q^{3} + e^{q}$
60961	Find the Derivative - d/dr	e^(r/2)	$e^{\frac{r}{2}}$
60962	Find the Derivative - d/dd	d/(dx)( integral from 0 to x^2 of sin(t^3) with respect to t)	$\frac{d}{d x} (\int_{0}^{x^{2}} \sin (t^{3}) d t)$
60963	Find the Derivative - d/dn	natural log of n+1	$\ln (n + 1)$
60964	Find the Second Derivative	f(x)=2x^(3/2)	$f (x) = 2 x^{\frac{3}{2}}$
60965	Find the Asymptotes	(e^x)/(1-e^x)	$\frac{e^{x}}{1 - e^{x}}$
60966	Find the Difference Quotient	f(x)=5-7x	$f (x) = 5 - 7 x$
60967	Find the Foci	(x^2)/25-(y^2)/4=1	$\frac{x^{2}}{25} - \frac{y^{2}}{4} = 1$
60968	Find the Foci	7x^2+3y^2=21	$7 x^{2} + 3 y^{2} = 21$
60969	Identify the Polar Equation	r=-3sin(theta)	$r = - 3 \sin (θ)$
60970	Find the Focus	x=6y^2	$x = 6 y^{2}$
60971	Divide Using Long Polynomial Division	(36x^2-35x+6)/(9x-2)	$\frac{36 x^{2} - 35 x + 6}{9 x - 2}$
60972	Solve for a	2a^2+98=0	$2 a^{2} + 98 = 0$
60973	Solve for a	6a^2+10a=136	$6 a^{2} + 10 a = 136$
60974	Solve for b	2=(b-1)/4	$2 = \frac{b - 1}{4}$
60975	Solve for a	a^2=16+49-56cos(42 degrees )	$a^{2} = 16 + 49 - 56 \cos (42 °)$
60976	Solve for b	log base b of 27=3	$\log_{b} (27) = 3$
60977	Find the Asymptotes	y=(x^2)/(x^2+147)	$y = \frac{x^{2}}{x^{2} + 147}$
60978	Find the Asymptotes	y=x+4/x+2	$y = x + \frac{4}{x} + 2$
60979	Solve for y	y-pi/2=2 square root of 3(x-1/2)	$y - \frac{π}{2} = 2 \sqrt{3} (x - \frac{1}{2})$
60980	Solve for y	y- square root of 7y-31=3	$y - \sqrt{7 y - 31} = 3$
60981	Solve for y	-y^2+3y+11=y^2+y-1	$- y^{2} + 3 y + 11 = y^{2} + y - 1$
60982	Solve for z	z^3-4 square root of 3-4i=0	$z^{3} - 4 \sqrt{3} - 4 i = 0$
60983	Solve for t	5=2e^(-4t)	$5 = 2 e^{- 4 t}$
60984	Solve for t	500=30(25-t^2)	$500 = 30 (25 - t^{2})$
60985	Solve for t	x=1-t^2	$x = 1 - t^{2}$
60986	Solve for t	t^2-9t+18=0	$t^{2} - 9 t + 18 = 0$
60987	Solve for t	e^(kt)=1/11	$e^{k t} = \frac{1}{11}$
60988	Solve for t	e^(kt)=1/3	$e^{k t} = \frac{1}{3}$
60989	Solve for t	e^(kt)=1/7	$e^{k t} = \frac{1}{7}$
60990	Solve for v	tan(theta_v)=-19.52/9.75	$\tan (θ_{v}) = \frac{- 19.52}{9.75}$
60991	Solve for y	7^2+y^2=625	$7^{2} + y^{2} = 625$
60992	Solve for y	6=y+5cos(y)	$6 = y + 5 \cos (y)$
60993	Solve for y	x^2-3xy=10	$x^{2} - 3 x y = 10$
60994	Solve for y	x=e^(-y)	$x = e^{- y}$
60995	Solve for y	square root of 7-y=6	$\sqrt{7 - y} = 6$
60996	Solve for y	2x+4y=1400	$2 x + 4 y = 1400$
60997	Solve for y	(dy)/(dx)=(x^2)/(6e^y)	$\frac{d y}{d x} = \frac{x^{2}}{6 e^{y}}$
60998	Solve for y	(dy)/(dx)=4xy	$\frac{d y}{d x} = 4 x y$
60999	Solve for y	(dy)/(dx)=5xy	$\frac{d y}{d x} = 5 x y$
61000	Solve for y	(dy)/(dx)=-7y	$\frac{d y}{d x} = - 7 y$