Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
62701	Find the Foci	(y^2)/81-(x^2)/100=1	$\frac{y^{2}}{81} - \frac{x^{2}}{100} = 1$
62702	Find the Foci	(y^2)/(96^2)-(x^2)/(40^2)=1	$\frac{y^{2}}{96^{2}} - \frac{x^{2}}{40^{2}} = 1$
62703	Find the Foci	(y^2)/9-(x^2)/36=1	$\frac{y^{2}}{9} - \frac{x^{2}}{36} = 1$
62704	Find the Foci	(x^2)/4+(y^2)/5=1	$\frac{x^{2}}{4} + \frac{y^{2}}{5} = 1$
62705	Find the Foci	(x^2)/49+(y^2)/24=1	$\frac{x^{2}}{49} + \frac{y^{2}}{24} = 1$
62706	Find the Foci	(x^2)/6-(y^2)/16=1	$\frac{x^{2}}{6} - \frac{y^{2}}{16} = 1$
62707	Find the Foci	(x^2)/36-(y^2)/49=1	$\frac{x^{2}}{36} - \frac{y^{2}}{49} = 1$
62708	Find the Foci	(x^2)/16-(y^2)/64=1	$\frac{x^{2}}{16} - \frac{y^{2}}{64} = 1$
62709	Find the Foci	((x+1)^2)/225-((y+5)^2)/400=1	$\frac{{(x + 1)}^{2}}{225} - \frac{{(y + 5)}^{2}}{400} = 1$
62710	Find the Second Derivative	g(x)=8x^2e^x	$g (x) = 8 x^{2} e^{x}$
62711	Find the Second Derivative	f(x)=-x^(8/9)	$f (x) = - x^{\frac{8}{9}}$
62712	Find the Second Derivative	f(x)=4/x	$f (x) = \frac{4}{x}$
62713	Find the Second Derivative	f(x)=(4x^2)/(x^2-25)	$f (x) = \frac{4 x^{2}}{x^{2} - 25}$
62714	Find the Second Derivative	f(x)=9x^3+1/x	$f (x) = 9 x^{3} + \frac{1}{x}$
62715	Find the Second Derivative	f(x)=12e^x-e^(2x)	$f (x) = 12 e^{x} - e^{2 x}$
62716	Find the Second Derivative	f(x) = square root of -7x-5	$f (x) = \sqrt{- 7 x - 5}$
62717	Find the Second Derivative	f(x) = square root of x^2+32	$f (x) = \sqrt{x^{2} + 32}$
62718	Find the Second Derivative	f(x)=(x^2-16)^2	$f (x) = {(x^{2} - 16)}^{2}$
62719	Find the Second Derivative	f(t)=t^2e^(-4t)	$f (t) = t^{2} e^{- 4 t}$
62720	Find the Second Derivative	f(t)=t^2e^(-8t)	$f (t) = t^{2} e^{- 8 t}$
62721	Find the Fourth Derivative	f(x)=xe^x	$f (x) = x e^{x}$
62722	Find the Fourth Derivative	f(x)=(x-2)/(x-3)	$f (x) = \frac{x - 2}{x - 3}$
62723	Solve by Substitution	-2x+4y-6=4x-10y+22=0	$- 2 x + 4 y - 6 = 4 x - 10 y + 22 = 0$
62724	Solve by Substitution	3x^2-6y=3y^2-6x=0	$3 x^{2} - 6 y = 3 y^{2} - 6 x = 0$
62725	Split Using Partial Fraction Decomposition	(8y+7)/(y^2+y-2)	$\frac{8 y + 7}{y^{2} + y - 2}$
62726	Find the Antiderivative	g(t)=e^(-7t)	$g (t) = e^{- 7 t}$
62727	Find the Antiderivative	f(y)=-18/(y^19)	$f (y) = \frac{- 18}{y^{19}}$
62728	Find the Antiderivative	f(y)=-19/(y^20)	$f (y) = \frac{- 19}{y^{20}}$
62729	Find the Antiderivative	f(y)=-9/(y^10)	$f (y) = \frac{- 9}{y^{10}}$
62730	Find the Antiderivative	f(y)=9+12y+4y^2	$f (y) = 9 + 12 y + 4 y^{2}$
62731	Find the Antiderivative	f(z) = fourth root of z^3	$f (z) = \sqrt[4]{z^{3}}$
62732	Find the Antiderivative	f(z)=5e^z	$f (z) = 5 e^{z}$
62733	Find the Antiderivative	f(y)=-10/(y^11)	$f (y) = \frac{- 10}{y^{11}}$
62734	Find the Antiderivative	g(x)=sin(x)+14cos(x)	$g (x) = \sin (x) + 14 \cos (x)$
62735	Find the Antiderivative	g(x)=1/(x^5)	$g (x) = \frac{1}{x^{5}}$
62736	Find the Antiderivative	h(x)=x^18-x	$h (x) = x^{18} - x$
62737	Find the Antiderivative	h(x)=x^-4	$h (x) = x^{- 4}$
62738	Find the Antiderivative	p(z)=( square root of z)^7	$p (z) = {(\sqrt{z})}^{7}$
62739	Find the Antiderivative	h(z)=3/z	$h (z) = \frac{3}{z}$
62740	Find the Antiderivative	r(theta)=sec(theta)tan(theta)-7e^theta	$r (θ) = \sec (θ) \tan (θ) - 7 e^{θ}$
62741	Find the Antiderivative	y=2x	$y = 2 x$
62742	Find the Antiderivative	v(t)=4t+5	$v (t) = 4 t + 5$
62743	Find the Antiderivative	f(x)=e^(4x)	$f (x) = e^{4 x}$
62744	Find the Antiderivative	f(x)=e^(12x)	$f (x) = e^{12 x}$
62745	Find the Antiderivative	f(x)=x(9-x)^2	$f (x) = x {(9 - x)}^{2}$
62746	Find the Antiderivative	f(x)=x^11	$f (x) = x^{11}$
62747	Find the Antiderivative	f(x)=x^2-2x	$f (x) = x^{2} - 2 x$
62748	Find the Antiderivative	f(x)=x^2-3x+2	$f (x) = x^{2} - 3 x + 2$
62749	Find the Antiderivative	f(x)=x^2-5x+6	$f (x) = x^{2} - 5 x + 6$
62750	Find the Antiderivative	f(x)=x^2-9x+4	$f (x) = x^{2} - 9 x + 4$
62751	Find the Antiderivative	f(x)=x^3+x	$f (x) = x^{3} + x$
62752	Find the Antiderivative	f(x)=6-18x	$f (x) = 6 - 18 x$
62753	Find the Antiderivative	f(x)=9	$f (x) = 9$
62754	Find the Antiderivative	f(x)=9e^x+8sec(x)^2	$f (x) = 9 e^{x} + 8 \sec^{2} (x)$
62755	Find the Antiderivative	f(x)=9x^9-2x^6+10x^3	$f (x) = 9 x^{9} - 2 x^{6} + 10 x^{3}$
62756	Find the Antiderivative	f(x)=sin(7x)	$f (x) = \sin (7 x)$
62757	Find the Antiderivative	f(x)=(x+3)(4x-2)	$f (x) = (x + 3) (4 x - 2)$
62758	Find the Antiderivative	f(x)=17	$f (x) = 17$
62759	Find the Antiderivative	f(x)=12x^3	$f (x) = 12 x^{3}$
62760	Find the Antiderivative	f(x)=13e^x	$f (x) = 13 e^{x}$
62761	Find the Antiderivative	f(x)=-12x	$f (x) = - 12 x$
62762	Find the Antiderivative	f(x)=12x^(5/7)+5x^(-6/7)	$f (x) = 12 x^{\frac{5}{7}} + 5 x^{- \frac{6}{7}}$
62763	Find the Antiderivative	f(x)=2x^(2/9)-2/(x^4)+6x+2cos(x)+ natural log of 5	$f (x) = 2 x^{\frac{2}{9}} - \frac{2}{x^{4}} + 6 x + 2 \cos (x) + \ln (5)$
62764	Find the Antiderivative	f(x)=2x+4	$f (x) = 2 x + 4$
62765	Find the Antiderivative	f(x)=2x+5	$f (x) = 2 x + 5$
62766	Find the Antiderivative	f(x)=2x-3	$f (x) = 2 x - 3$
62767	Find the Antiderivative	f(x)=22x^21	$f (x) = 22 x^{21}$
62768	Find the Antiderivative	f(x)=23e^x	$f (x) = 23 e^{x}$
62769	Find the Antiderivative	f(x)=28x^3-15x^2+8x	$f (x) = 28 x^{3} - 15 x^{2} + 8 x$
62770	Find the Antiderivative	f(x)=3x^(1/4)-5x^(3/4)	$f (x) = 3 x^{\frac{1}{4}} - 5 x^{\frac{3}{4}}$
62771	Find the Antiderivative	f(x)=3x^(1/4)-7x^(3/4)	$f (x) = 3 x^{\frac{1}{4}} - 7 x^{\frac{3}{4}}$
62772	Find the Antiderivative	f(x)=12/( square root of 1-x^2)	$f (x) = \frac{12}{\sqrt{1 - x^{2}}}$
62773	Find the Antiderivative	f(x)=-1/7x^(-8/7)	$f (x) = - \frac{1}{7} x^{- \frac{8}{7}}$
62774	Find the Antiderivative	f(x)=1/(x^8)	$f (x) = \frac{1}{x^{8}}$
62775	Find the Antiderivative	f(x)=1/(x^2+81)	$f (x) = \frac{1}{x^{2} + 81}$
62776	Find the Antiderivative	f(x)=(3x-2)^3	$f (x) = {(3 x - 2)}^{3}$
62777	Find the Antiderivative	f(x)=(8+x+x^2)/( square root of x)	$f (x) = \frac{8 + x + x^{2}}{\sqrt{x}}$
62778	Find the Antiderivative	f(x)=8/(x^5)	$f (x) = \frac{8}{x^{5}}$
62779	Find the Antiderivative	f(x)=9/x	$f (x) = \frac{9}{x}$
62780	Find the Antiderivative	f(x)=x/2	$f (x) = \frac{x}{2}$
62781	Find the Antiderivative	f(x)=(x^3)/3	$f (x) = \frac{x^{3}}{3}$
62782	Find the Equation Using Slope-Intercept Form	y=(4+csc(x))/(8-csc(x)) , (pi/6,1)	$y = \frac{4 + \csc (x)}{8 - \csc (x)}$ , $(\frac{π}{6}, 1)$
62783	Find Where the Mean Value Theorem is Satisfied	f(x)=4x^2-8x+3 , [-1,3]	$f (x) = 4 x^{2} - 8 x + 3$ , $[- 1, 3]$
62784	Find the Antiderivative	f(t)=0.8t-15.9	$f (t) = 0.8 t - 15.9$
62785	Find the Antiderivative	f(t)=2t^2+3t^3+4t^4	$f (t) = 2 t^{2} + 3 t^{3} + 4 t^{4}$
62786	Find the Domain	y=( square root of 1-x^2)/x	$y = \frac{\sqrt{1 - x^{2}}}{x}$
62787	Find the Antiderivative	f(t)=7t^7+8t^8+9t^9	$f (t) = 7 t^{7} + 8 t^{8} + 9 t^{9}$
62788	Find the Asymptotes	f(x)=x+14/x	$f (x) = x + \frac{14}{x}$
62789	Find the Asymptotes	f(x)=xe^(-x^2)	$f (x) = x e^{- x^{2}}$
62790	Find the Asymptotes	f(x)=x square root of 7-x	$f (x) = x \sqrt{7 - x}$
62791	Find the Asymptotes	f(x)=15x^(2/3)-10x	$f (x) = 15 x^{\frac{2}{3}} - 10 x$
62792	Find the Asymptotes	f(x)=(x^2-2x+4)/(x-2)	$f (x) = \frac{x^{2} - 2 x + 4}{x - 2}$
62793	Find the Asymptotes	f(x)=(x^2-x-20)/(x^2-10x+24)	$f (x) = \frac{x^{2} - x - 20}{x^{2} - 10 x + 24}$
62794	Find the Asymptotes	f(x)=(x^3)/(x^2-36)	$f (x) = \frac{x^{3}}{x^{2} - 36}$
62795	Find the Asymptotes	f(x)=(x^3-8x^2+15x)/(x^2-5x)	$f (x) = \frac{x^{3} - 8 x^{2} + 15 x}{x^{2} - 5 x}$
62796	Find the Asymptotes	f(x)=(x^2+x-6)/(x^2-4x-21)	$f (x) = \frac{x^{2} + x - 6}{x^{2} - 4 x - 21}$
62797	Find the Asymptotes	f(x)=(x^2+1)/(x^2-4)	$f (x) = \frac{x^{2} + 1}{x^{2} - 4}$
62798	Find the Asymptotes	f(x)=x/(4-x^2)	$f (x) = \frac{x}{4 - x^{2}}$
62799	Find the Asymptotes	f(x)=(2e^x)/(3e^x-4)	$f (x) = \frac{2 e^{x}}{3 e^{x} - 4}$
62800	Find the Asymptotes	f(x)=( square root of 16x^2+3x+6-5)/(x-1)	$f (x) = \frac{\sqrt{16 x^{2} + 3 x + 6} - 5}{x - 1}$