Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
61001	Solve for k	35e^(4k)=175	$35 e^{4 k} = 175$
61002	Solve for k	k^2=17	$k^{2} = 17$
61003	Solve for k	e^(3k)=64	$e^{3 k} = 64$
61004	Solve for n	sum from n=1 to infinity of (-0.5)^(n-1)	$\sum_{n = 1}^{\infty} {(- 0.5)}^{n - 1}$
61005	Solve for n	sum from i=1 to n of (8i+9)/(n^2)	$\sum_{i = 1}^{n} \frac{8 i + 9}{n^{2}}$
61006	Solve for C	2=2000/(3(150)+50)+C	$2 = \frac{2000}{3 (150) + 50} + C$
61007	Solve for C	14000=2400 square root of 25-(3)^2+C	$14000 = 2400 \sqrt{25 - {(3)}^{2}} + C$
61008	Solve for c	8-(20-4c)=4(c-3)	$8 - (20 - 4 c) = 4 (c - 3)$
61009	Solve for g	g(x) = integral from 0 to x of f(t) with respect to t	$g (x) = \int_{0}^{x} f (t) d t$
61010	Solve for k	sum from k=1 to infinity of (-1)^(k-1)	$\sum_{k = 1}^{\infty} {(- 1)}^{k - 1}$
61011	Solve for k	sum from k=0 to 29 of -3(0.9)^k	$\sum_{k = 0}^{29} - 3 {(0.9)}^{k}$
61012	Solve for r	-27=r^3	$- 27 = r^{3}$
61013	Solve for p	q=2p-50	$q = 2 p - 50$
61014	Solve for q	9=2 square root of q+3	$9 = 2 \sqrt{q} + 3$
61015	Solve for N	6.2^2=3.6^2+4.3^2-23.64.3cos(N)	${6.2}^{2} = {3.6}^{2} + {4.3}^{2} - 2 \cdot 3.6 \cdot 4.3 \cos (N)$
61016	Solve for t	0=-16t^2+96t+880	$0 = - 16 t^{2} + 96 t + 880$
61017	Solve for t	-16t^2+96t+1152=0	$- 16 t^{2} + 96 t + 1152 = 0$
61018	Solve for t	176-32t=0	$176 - 32 t = 0$
61019	Solve for t	-2(4t-3)=4(3-2t)-6	$- 2 (4 t - 3) = 4 (3 - 2 t) - 6$
61020	Solve for t	-32t+48=0	$- 32 t + 48 = 0$
61021	Find the Area Under the Curve	y=3x ; [2,4]	$y = 3 x$ ; $[2, 4]$
61022	Find the Area Under the Curve	y=sec(x)^2 , 0<=x<=pi/6	$y = \sec^{2} (x)$ , $0 \leq x \leq \frac{π}{6}$
61023	Find the Asymptotes	f(x)=(4x^2+4x-3)/(x^2+2x-15)	$f (x) = \frac{4 x^{2} + 4 x - 3}{x^{2} + 2 x - 15}$
61024	Find the Area Under the Curve	y=x^3+5x^2+6x , -3<=x<=0	$y = x^{3} + 5 x^{2} + 6 x$ , $- 3 \leq x \leq 0$
61025	Find the Asymptotes	f(x)=((3x+8)(5-4x))/((2x+1)^2)	$f (x) = \frac{(3 x + 8) (5 - 4 x)}{{(2 x + 1)}^{2}}$
61026	Find the Asymptotes	f(x)=1/(1-x^2)	$f (x) = \frac{1}{1 - x^{2}}$
61027	Find the Asymptotes	f(x)=1/(x+7)	$f (x) = \frac{1}{x + 7}$
61028	Find the Asymptotes	f(x)=(x^2+5x+6)/(x^2-4)	$f (x) = \frac{x^{2} + 5 x + 6}{x^{2} - 4}$
61029	Find the Domain	h(x)=1/( fourth root of x^2-4x)	$h (x) = \frac{1}{\sqrt[4]{x^{2} - 4 x}}$
61030	Find the Critical Points	f(x)=x^4+12x^3	$f (x) = x^{4} + 12 x^{3}$
61031	Find the Critical Points	f(x)=x^2-7	$f (x) = x^{2} - 7$
61032	Find the Critical Points	f(x)=x^3-4x^2+4x	$f (x) = x^{3} - 4 x^{2} + 4 x$
61033	Find the Critical Points	f(x)=6x^3-9x^2-108x	$f (x) = 6 x^{3} - 9 x^{2} - 108 x$
61034	Find the Critical Points	f(x)=x^(2/3)(x-5)	$f (x) = x^{\frac{2}{3}} (x - 5)$
61035	Find the Critical Points	f(x)=5x^3+30x^2-480x+8	$f (x) = 5 x^{3} + 30 x^{2} - 480 x + 8$
61036	Find the Critical Points	f(x)=4x^2-3x-1	$f (x) = 4 x^{2} - 3 x - 1$
61037	Find the Critical Points	f(x)=2x^2-8 square root of x	$f (x) = 2 x^{2} - 8 \sqrt{x}$
61038	Find the Symmetry	x^(2/3)+y^(2/3)=1	$x^{\frac{2}{3}} + y^{\frac{2}{3}} = 1$
61039	Eliminate the Parameter	x=1/2t+3 , y=2t-1	$x = \frac{1}{2} t + 3$ , $y = 2 t - 1$
61040	Find the Roots (Zeros)	x^2-11x+30=0	$x^{2} - 11 x + 30 = 0$
61041	Evaluate Using L'Hospital's Rule	limit as x approaches a of (x^2-a^2)/(x^4-a^4)	$lim_{x \to a} \frac{x^{2} - a^{2}}{x^{4} - a^{4}}$
61042	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of 13xe^(1/x)-13x	$lim_{x \to \infty} 13 x e^{\frac{1}{x}} - 13 x$
61043	Evaluate Using L'Hospital's Rule	limit as x approaches pi of (x-pi)cot(x)	$lim_{x \to π} (x - π) \cot (x)$
61044	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (2x^3)/(e^(4x))	$lim_{x \to \infty} \frac{2 x^{3}}{e^{4 x}}$
61045	Evaluate Using L'Hospital's Rule	limit as t approaches 0 of (e^(4t)-1)/(sin(t))	$lim_{t \to 0} \frac{e^{4 t} - 1}{\sin (t)}$
61046	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (2tan(x))/(5x^3)	$lim_{x \to 0} \frac{2 \tan (x)}{5 x^{3}}$
61047	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (2x^6+6x^3)/(4x^5+3x^3)	$lim_{x \to 0} \frac{2 x^{6} + 6 x^{3}}{4 x^{5} + 3 x^{3}}$
61048	Evaluate Using L'Hospital's Rule	limit as x approaches 1 of (5 natural log of x)/(x-1)	$lim_{x \to 1} \frac{5 \ln (x)}{x - 1}$
61049	Find the Vertices	(y^2)/16-(x^2)/144=1	$\frac{y^{2}}{16} - \frac{x^{2}}{144} = 1$
61050	Find the Vertices	(x^2)/36+(y^2)/4=1	$\frac{x^{2}}{36} + \frac{y^{2}}{4} = 1$
61051	Find the Vertices	(x^2)/25-(y^2)/36=1	$\frac{x^{2}}{25} - \frac{y^{2}}{36} = 1$
61052	Find the Vertices	9x^2+25y^2=225	$9 x^{2} + 25 y^{2} = 225$
61053	Find the Vertices	25x^2+9y^2=225	$25 x^{2} + 9 y^{2} = 225$
61054	Find the Roots (Zeros)	x^2+5x+4	$x^{2} + 5 x + 4$
61055	Find the Roots (Zeros)	x^2-4x+8	$x^{2} - 4 x + 8$
61056	Find the Roots (Zeros)	x^2-6x-7	$x^{2} - 6 x - 7$
61057	Find the Roots (Zeros)	x^2-7x+6	$x^{2} - 7 x + 6$
61058	Find the Roots (Zeros)	x^3-3x+2	$x^{3} - 3 x + 2$
61059	Find the x and y Intercepts	f(x)=x^2-10x+21	$f (x) = x^{2} - 10 x + 21$
61060	Find the x and y Intercepts	f(x)=4x-x^2	$f (x) = 4 x - x^{2}$
61061	Find the x and y Intercepts	f(x)=x^3-9x	$f (x) = x^{3} - 9 x$
61062	Find the x and y Intercepts	f(x)=x^3-2x^2+1x	$f (x) = x^{3} - 2 x^{2} + 1 x$
61063	Find the x and y Intercepts	f(x)=10x^6-13x^5	$f (x) = 10 x^{6} - 13 x^{5}$
61064	Find dL/dV	(L+m)(V+n)=k	$(L + m) (V + n) = k$
61065	Find dS/dA	S=390A-0.05A^3	$S = 390 A - 0.05 A^{3}$
61066	Find dr/ds	r=1/(2s)-5/(4s^3)	$r = \frac{1}{2 s} - \frac{5}{4 s^{3}}$
61067	Find ds/dt	s=t^4tan(t)- square root of t	$s = t^{4} \tan (t) - \sqrt{t}$
61068	Find dw/dz	w=7z^2e^z	$w = 7 z^{2} e^{z}$
61069	Find dx/dy	y=1/x	$y = \frac{1}{x}$
61070	Find dx/dy	y=e^x	$y = e^{x}$
61071	Find dy/dt	y=3t(2t^3-5)^4	$y = 3 t {(2 t^{3} - 5)}^{4}$
61072	Find dy/dt	y = square root of te^(-t)	$y = \sqrt{t} e^{- t}$
61073	Find dy/dt	y=2t(3t^3-4)^4	$y = 2 t {(3 t^{3} - 4)}^{4}$
61074	Find dy/dt	(dy)/(dt)=15t^4	$\frac{d y}{d t} = 15 t^{4}$
61075	Find dy/dt	y=t( natural log of 2t)^2	$y = t \ln^{2} (2 t)$
61076	Find the Function	f'(x)=8x-5	$f' (x) = 8 x - 5$
61077	Find the Function	f'(x)=4x-7	$f' (x) = 4 x - 7$
61078	Find the x and y Intercepts	x^3+8x^2+15x	$x^{3} + 8 x^{2} + 15 x$
61079	Find the Volume	x=y^2 , x=14y-y^2	$x = y^{2}$ , $x = 14 y - y^{2}$
61080	Find the Volume	x=2 square root of 3y , x=0 , y=9	$x = 2 \sqrt{3 y}$ , $x = 0$ , $y = 9$
61081	Find the Volume	x=2 square root of 5y , x=0 , y=7	$x = 2 \sqrt{5 y}$ , $x = 0$ , $y = 7$
61082	Find the x and y Intercepts	x(x-4)^3	$x {(x - 4)}^{3}$
61083	Find the x and y Intercepts	2x(x-2)^3	$2 x {(x - 2)}^{3}$
61084	Find the Maximum/Minimum Value	f(x)=x square root of 16-x^2	$f (x) = x \sqrt{16 - x^{2}}$
61085	Find the Maximum/Minimum Value	f(x)=x^2-2x-3	$f (x) = x^{2} - 2 x - 3$
61086	Find the Maximum/Minimum Value	f(x)=x^2+8x+14	$f (x) = x^{2} + 8 x + 14$
61087	Find the Maximum/Minimum Value	f(x)=x^2-12x+9	$f (x) = x^{2} - 12 x + 9$
61088	Find the Maximum/Minimum Value	f(x)=xe^x	$f (x) = x e^{x}$
61089	Find Amplitude, Period, and Phase Shift	F(x)=2cos(3x+pi)	$F (x) = 2 \cos (3 x + π)$
61090	Find the Maximum/Minimum Value	f(x)=2x^3-3x^2-12x	$f (x) = 2 x^{3} - 3 x^{2} - 12 x$
61091	Find the Maximum/Minimum Value	f(x)=(e^x)/x	$f (x) = \frac{e^{x}}{x}$
61092	Find the Maximum/Minimum Value	f(x)=x/(x^2+1)	$f (x) = \frac{x}{x^{2} + 1}$
61093	Find the Maximum/Minimum Value	f(x)=2x^2-4x+3	$f (x) = 2 x^{2} - 4 x + 3$
61094	Find the Maximum/Minimum Value	f(x)=x-e^x	$f (x) = x - e^{x}$
61095	Find the Maximum/Minimum Value	g(x)=2x^3-5x^2	$g (x) = 2 x^{3} - 5 x^{2}$
61096	Find the Maximum/Minimum Value	f(x)=x+9/x	$f (x) = x + \frac{9}{x}$
61097	Find the Maximum/Minimum Value	f(x)=x^2-x-2	$f (x) = x^{2} - x - 2$
61098	Find the Maximum/Minimum Value	f(x)=x^2-x-5	$f (x) = x^{2} - x - 5$
61099	Find the Maximum/Minimum Value	f(x)=x^2-6x+9	$f (x) = x^{2} - 6 x + 9$
61100	Find the Maximum/Minimum Value	f(x)=8x+7	$f (x) = 8 x + 7$