Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
66001	Evaluate the Summation	sum from k=1 to 7 of (-1)^k*2^(k+1)	$\sum_{k = 1}^{7} {(- 1)}^{k} \cdot 2^{k + 1}$
66002	Evaluate the Summation	sum from k=1 to 6 of 4k^2	$\sum_{k = 1}^{6} 4 k^{2}$
66003	Evaluate the Summation	sum from k=1 to 6 of 2^(k-1)	$\sum_{k = 1}^{6} 2^{k - 1}$
66004	Evaluate the Summation	sum from k=1 to 6 of 2+k^2	$\sum_{k = 1}^{6} 2 + k^{2}$
66005	Evaluate the Summation	sum from k=1 to 6 of 20-k^2	$\sum_{k = 1}^{6} 20 - k^{2}$
66006	Evaluate the Summation	sum from k=1 to 4 of k^4	$\sum_{k = 1}^{4} k^{4}$
66007	Find the x and y Intercepts	f(x)=-(x-2)^2+3x+1	$f (x) = - {(x - 2)}^{2} + 3 x + 1$
66008	Find the x and y Intercepts	f(x)=(x-5)/(x+7)	$f (x) = \frac{x - 5}{x + 7}$
66009	Find the x and y Intercepts	f(x)=(x^2-9x+39)/(x-7)	$f (x) = \frac{x^{2} - 9 x + 39}{x - 7}$
66010	Find the x and y Intercepts	f(x)=5/(x+6)	$f (x) = \frac{5}{x + 6}$
66011	Find the x and y Intercepts	f(x)=(x^2-6x+9)/(x^2-x-6)	$f (x) = \frac{x^{2} - 6 x + 9}{x^{2} - x - 6}$
66012	Find the x and y Intercepts	f(x)=(x^2-8)/(x-3)	$f (x) = \frac{x^{2} - 8}{x - 3}$
66013	Find the x and y Intercepts	f(x)=(x^2+25)/x	$f (x) = \frac{x^{2} + 25}{x}$
66014	Find the x and y Intercepts	f(x)=(x^2+64)/x	$f (x) = \frac{x^{2} + 64}{x}$
66015	Find the x and y Intercepts	f(x)=-1/(x-5)	$f (x) = \frac{- 1}{x - 5}$
66016	Find the x and y Intercepts	f(x)=x^3+3x^2	$f (x) = x^{3} + 3 x^{2}$
66017	Find the x and y Intercepts	f(x)=-x^2+4x+12	$f (x) = - x^{2} + 4 x + 12$
66018	Find the x and y Intercepts	f(x)=7x^6-12x^5	$f (x) = 7 x^{6} - 12 x^{5}$
66019	Find the x and y Intercepts	f(x)=9x^4-54x^2	$f (x) = 9 x^{4} - 54 x^{2}$
66020	Find the x and y Intercepts	f(x) = natural log of x^2+36	$f (x) = \ln (x^{2} + 36)$
66021	Evaluate the Summation	3 sum from k=3 to 6 of 1/(k-1)	$3 \sum_{k = 3}^{6} \frac{1}{k - 1}$
66022	Evaluate the Summation	sum from 2 to 14 of 128(1/4)^n	$\sum_{2}^{14} 128 {(\frac{1}{4})}^{n}$
66023	Evaluate the Summation	sum from 2 to 5 of (n-1)!	$\sum_{2}^{5} (n - 1)!$
66024	Evaluate the Summation	sum from 2 to 5 of -3(4^(n-1))	$\sum_{2}^{5} - 3 (4^{n - 1})$
66025	Evaluate the Summation	sum from 2 to 6 of ((n-1)!)/2	$\sum_{2}^{6} \frac{(n - 1)!}{2}$
66026	Evaluate the Summation	sum from 3 to 9 of x-3	$\sum_{3}^{9} x - 3$
66027	Evaluate the Summation	sum from 1 to 6 of 5(2)^(n+1)	$\sum_{1}^{6} 5 {(2)}^{n + 1}$
66028	Evaluate the Summation	sum from 1 to 5 of (i!)/((i-1)!)	$\sum_{1}^{5} \frac{i!}{(i - 1)!}$
66029	Evaluate the Summation	sum from 1 to 4 of -4n+17	$\sum_{1}^{4} - 4 n + 17$
66030	Evaluate the Summation	sum from 1 to 4 of 7/n	$\sum_{1}^{4} \frac{7}{n}$
66031	Evaluate the Summation	sum from 1 to 50 of n(4n+3)	$\sum_{1}^{50} n (4 n + 3)$
66032	Find dy/dx	3x^2y^2-3y-17=5x+14	$3 x^{2} y^{2} - 3 y - 17 = 5 x + 14$
66033	Find dy/dx	3x^2+y^2=7	$3 x^{2} + y^{2} = 7$
66034	Find dy/dx	2y^3+xy-y=250x^4	$2 y^{3} + x y - y = 250 x^{4}$
66035	Find dy/dx	2y^3-3xy+x^2=4	$2 y^{3} - 3 x y + x^{2} = 4$
66036	Find dy/dx	2y-x+xy=2	$2 y - x + x y = 2$
66037	Find dy/dx	2xy+y^2=3x+y	$2 x y + y^{2} = 3 x + y$
66038	Find dy/dx	2x+4y=8	$2 x + 4 y = 8$
66039	Find dy/dx	36(x^2+y^2)^2=625xy^2	$36 {(x^{2} + y^{2})}^{2} = 625 x y^{2}$
66040	Find dy/dx	3sin(y)+4x=y^2	$3 \sin (y) + 4 x = y^{2}$
66041	Find dy/dx	3x^2+2x+xy=4	$3 x^{2} + 2 x + x y = 4$
66042	Find dy/dx	3x^2+2y^2=1	$3 x^{2} + 2 y^{2} = 1$
66043	Find dy/dx	3x^2+2y^2=4	$3 x^{2} + 2 y^{2} = 4$
66044	Find dy/dx	2x^3+x^2y-xy^3=5	$2 x^{3} + x^{2} y - x y^{3} = 5$
66045	Find dy/dx	2x^3+2y^3-9xy=0	$2 x^{3} + 2 y^{3} - 9 x y = 0$
66046	Find dy/dx	2x^3+5y^3=9	$2 x^{3} + 5 y^{3} = 9$
66047	Find dy/dx	2x^2y^2=8	$2 x^{2} y^{2} = 8$
66048	Find dy/dx	2x^2+y^2=3	$2 x^{2} + y^{2} = 3$
66049	Find dy/dx	2x^2-4y^2=25	$2 x^{2} - 4 y^{2} = 25$
66050	Find dy/dx	2x^4+3y^4=5xy	$2 x^{4} + 3 y^{4} = 5 x y$
66051	Find dy/dx	2x^3-x^2y^2+3y^3=5	$2 x^{3} - x^{2} y^{2} + 3 y^{3} = 5$
66052	Find dy/dx	square root of 7x+y=6+x^2y^2	$\sqrt{7 x + y} = 6 + x^{2} y^{2}$
66053	Find dy/dx	square root of 7xy=1+x^2y	$\sqrt{7 x y} = 1 + x^{2} y$
66054	Find dy/dx	sin(y)=x^2	$\sin (y) = x^{2}$
66055	Find dy/dx	square root of x+y+ square root of x-y=4	$\sqrt{x + y} + \sqrt{x - y} = 4$
66056	Find dy/dx	square root of x+y=5+x^2y^2	$\sqrt{x + y} = 5 + x^{2} y^{2}$
66057	Find dy/dx	sin(x+y)=2x-2y	$\sin (x + y) = 2 x - 2 y$
66058	Find dy/dx	(dy)/(dx)=x^2y^2	$\frac{d y}{d x} = x^{2} y^{2}$
66059	Find dy/dx	(x^2)/2+(y^2)/6=14	$\frac{x^{2}}{2} + \frac{y^{2}}{6} = 14$
66060	Find dy/dx	(dy)/(dx)=4x^3y	$\frac{d y}{d x} = 4 x^{3} y$
66061	Find dy/dx	(dy)/(dx)=6x^-7	$\frac{d y}{d x} = 6 x^{- 7}$
66062	Find dy/dx	(dy)/(dx)=2x-6	$\frac{d y}{d x} = 2 x - 6$
66063	Find dy/dx	cos(xy)=1+sin(y)	$\cos (x y) = 1 + \sin (y)$
66064	Find dy/dx	cos(y)=x	$\cos (y) = x$
66065	Find dy/dx	(y+x)^2 = natural log of y	${(y + x)}^{2} = \ln (y)$
66066	Find dy/dt	y=3^( square root of t)	$y = 3^{\sqrt{t}}$
66067	Find dy/dt	y=acos(t)+t^2sin(t)	$y = a \cos (t) + t^{2} \sin (t)$
66068	Find dy/dt	y=t( natural log of 10t)^2	$y = t \ln^{2} (10 t)$
66069	Find dy/dt	y=t^4(t^6+3)^4	$y = t^{4} {(t^{6} + 3)}^{4}$
66070	Find dy/dx	(x+y)/(x-y)=x^2+y^2	$\frac{(x + y)}{(x - y)} = x^{2} + y^{2}$
66071	Find dy/dB	z=A/(y^9)+Be^y	$z = \frac{A}{y^{9}} + B e^{y}$
66072	Find dy/dx	(dy)/(dx)=(x^2-8)/(4y^2)	$\frac{d y}{d x} = \frac{x^{2} - 8}{4 y^{2}}$
66073	Find dy/dx	(dy)/(dx)=y/x	$\frac{d y}{d x} = \frac{y}{x}$
66074	Find dy/dx	(dy)/(dx)=1/(x^4)	$\frac{d y}{d x} = \frac{1}{x^{4}}$
66075	Find dy/dx	(-3+x)y'=8y	$(- 3 + x) y' = 8 y$
66076	Find dx/dy	x^3+x^2y+4y^2=6	$x^{3} + x^{2} y + 4 y^{2} = 6$
66077	Find dx/dy	x^3y^2-x^5y+4xy^3=0	$x^{3} y^{2} - x^{5} y + 4 x y^{3} = 0$
66078	Find dx/dy	6x^2-y^2=9	$6 x^{2} - y^{2} = 9$
66079	Find dx/dy	sin(xy)=1+cos(y)	$\sin (x y) = 1 + \cos (y)$
66080	Find dx/dy	3x-2y=x^2-2	$3 x - 2 y = x^{2} - 2$
66081	Find dx/dy	y = square root of x(x-14)	$y = \sqrt{x} (x - 14)$
66082	Find dx/dy	ysec(x)=5xtan(y)	$y \sec (x) = 5 x \tan (y)$
66083	Find dx/dy	y=e^(x/2)	$y = e^{\frac{x}{2}}$
66084	Find dx/dy	xy=8	$x y = 8$
66085	Find dx/dy	y=1/(x+2)	$y = \frac{1}{x + 2}$
66086	Find dx/dy	y=(9x^2-18x+18)e^x	$y = (9 x^{2} - 18 x + 18) e^{x}$
66087	Find dq/dt	q=sin(t/( square root of t+8))	$q = \sin (\frac{t}{\sqrt{t + 8}})$
66088	Find dr/ds	r=1/(5s^4)-7/(3s^2)	$r = \frac{1}{5 s^{4}} - \frac{7}{3 s^{2}}$
66089	Find ds/dt	s=3t^3-t^2	$s = 3 t^{3} - t^{2}$
66090	Find dy/dx	x^2y-5y=12	$x^{2} y - 5 y = 12$
66091	Find dy/dx	x^3+2y^2+y=x	$x^{3} + 2 y^{2} + y = x$
66092	Find dy/dx	x^3(x+y)=y^2(4x-y)	$x^{3} (x + y) = y^{2} (4 x - y)$
66093	Find dy/dx	x^2y+yx^2=6	$x^{2} y + y x^{2} = 6$
66094	Find dy/dx	x^2y+y^2x=6	$x^{2} y + y^{2} x = 6$
66095	Find dy/dx	x^2y^2+y+1=0	$x^{2} y^{2} + y + 1 = 0$
66096	Find dy/dx	x^2y^2=2	$x^{2} y^{2} = 2$
66097	Find dy/dx	x^2-y^2=9	$x^{2} - y^{2} = 9$
66098	Find dy/dx	x^2y^3+3y^2=x-4y	$x^{2} y^{3} + 3 y^{2} = x - 4 y$
66099	Find dy/dx	x^2y^3=25	$x^{2} y^{3} = 25$
66100	Find dy/dx	x^2y^2+xsin(y)=3	$x^{2} y^{2} + x \sin (y) = 3$