Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
25001	Find the Absolute Max and Min over the Interval	f(x)=x^2+2x-1 , [0,1]	$f (x) = x^{2} + 2 x - 1$ , $[0, 1]$
25002	Find the Absolute Max and Min over the Interval	f(x)=x/( square root of x^2+1) , [0,2]	$f (x) = \frac{x}{\sqrt{x^{2} + 1}}$ , $[0, 2]$
25003	Find the Absolute Max and Min over the Interval	f(x)=x^4-18x^2+81 , [-4,4]	$f (x) = x^{4} - 18 x^{2} + 81$ , $[- 4, 4]$
25004	Find the Absolute Max and Min over the Interval	f(x)=x^2-4 , (-1,2)	$f (x) = x^{2} - 4$ , $(- 1, 2)$
25005	Find the Absolute Max and Min over the Interval	f(x)=2x^3-3x^2-12x+1 , [-2,3]	$f (x) = 2 x^{3} - 3 x^{2} - 12 x + 1$ , $[- 2, 3]$
25006	Find the Absolute Max and Min over the Interval	f(x)=4 square root of x+5 , [4,7]	$f (x) = 4 \sqrt{x} + 5$ , $[4, 7]$
25007	Find the Absolute Max and Min over the Interval	f(x)=3x , [1,3]	$f (x) = 3 x$ , $[1, 3]$
25008	Find the Absolute Max and Min over the Interval	f(x)=4x^(2/3) , [-1,1]	$f (x) = 4 x^{\frac{2}{3}}$ , $[- 1, 1]$
25009	Find the Absolute Max and Min over the Interval	f(x)=1/2x^2-2 square root of x , (0,3)	$f (x) = \frac{1}{2} x^{2} - 2 \sqrt{x}$ , $(0, 3)$
25010	Graph	f(x)=5x^3-15x	$f (x) = 5 x^{3} - 15 x$
25011	Find the Absolute Max and Min over the Interval	f(x)=-x^4+50x^2-625 , [-6,6]	$f (x) = - x^{4} + 50 x^{2} - 625$ , $[- 6, 6]$
25012	Factor over the Complex Numbers	12x^2-176x+484	$12 x^{2} - 176 x + 484$
25013	Factor over the Complex Numbers	3x^2-12	$3 x^{2} - 12$
25014	Convert the Slope to Percent Grade	191/36	$\frac{191}{36}$
25015	Convert the Slope to Percent Grade	pi/2	$\frac{π}{2}$
25016	Convert the Slope to Percent Grade	10	$10$
25017	Convert the Slope to Percent Grade	125	$125$
25018	Convert the Slope to Percent Grade	16.5	$16.5$
25019	Factor over the Complex Numbers	x^2+y^2	$x^{2} + y^{2}$
25020	Convert the Slope to Percent Grade	83	$83$
25021	Factor over the Complex Numbers	12x^2-88x+121	$12 x^{2} - 88 x + 121$
25022	Factor over the Complex Numbers	x^3-x+6	$x^{3} - x + 6$
25023	Factor over the Complex Numbers	0.012q^2-0.6q+60	$0.012 q^{2} - 0.6 q + 60$
25024	Convert the Slope to Percent Grade	45	$45$
25025	Factor over the Complex Numbers	4p(175)^2	$4 p {(175)}^{2}$
25026	Find the Sum of the Series	1+16+81+256+625	$1 + 16 + 81 + 256 + 625$
25027	Find the Absolute Max and Min over the Interval	f(x)=5x+2-sin(x) , 0<x<3pi	$f (x) = 5 x + 2 - \sin (x)$ , $0 < x < 3 π$
25028	Find the Absolute Max and Min over the Interval	f(x)=9 square root of x-2x+5 , [0,6]	$f (x) = 9 \sqrt{x} - 2 x + 5$ , $[0, 6]$
25029	Find the Absolute Max and Min over the Interval	f(x)=9x^3-54x^2+81x+13 , (-6,2)	$f (x) = 9 x^{3} - 54 x^{2} + 81 x + 13$ , $(- 6, 2)$
25030	Find the Absolute Max and Min over the Interval	f(x)=x+16/x , [4,20]	$f (x) = x + \frac{16}{x}$ , $[4, 20]$
25031	Find the Absolute Max and Min over the Interval	h(x)=sin(x)^2+cos(x) , 0<x<2pi	$h (x) = \sin^{2} (x) + \cos (x)$ , $0 < x < 2 π$
25032	Find the Absolute Max and Min over the Interval	f(x)=x square root of 9-x^2 , [-1,3]	$f (x) = x \sqrt{9 - x^{2}}$ , $[- 1, 3]$
25033	Find the Absolute Max and Min over the Interval	f(x)=sin(2x)+3 , [-pi,pi]	$f (x) = \sin (2 x) + 3$ , $[- π, π]$
25034	Find the Absolute Max and Min over the Interval	f(x)=1/3x^3-4x , [-8,8]	$f (x) = \frac{1}{3} x^{3} - 4 x$ , $[- 8, 8]$
25035	Find the Sum of the Series	3/8+5/9+5/8+4/9	$\frac{3}{8} + \frac{5}{9} + \frac{5}{8} + \frac{4}{9}$
25036	Find the Sum of the Series	3 , 3/4 , 3/16 , 3/64	$3$ , $\frac{3}{4}$ , $\frac{3}{16}$ , $\frac{3}{64}$
25037	Find the Sum of the Series	1 , 4 , 16 , 49 , 144	$1$ , $4$ , $16$ , $49$ , $144$
25038	Find the Sum of the Series	4 , 8 , 16 , 32	$4$ , $8$ , $16$ , $32$
25039	Find the Sum of the Series	5 , 10 , 20 , 40	$5$ , $10$ , $20$ , $40$
25040	Find the Sum of the Series	7+14+21+28+35+42	$7 + 14 + 21 + 28 + 35 + 42$
25041	Find the Sum of the Infinite Geometric Series	1/2 , 2/5 , 3/10 , 4/17	$\frac{1}{2}$ , $\frac{2}{5}$ , $\frac{3}{10}$ , $\frac{4}{17}$
25042	Find the Sum of the Infinite Geometric Series	1/5 , 3/7 , 5/9 , 7/11 , 9/13	$\frac{1}{5}$ , $\frac{3}{7}$ , $\frac{5}{9}$ , $\frac{7}{11}$ , $\frac{9}{13}$
25043	Find the Sum of the Infinite Geometric Series	1+4+9+16	$1 + 4 + 9 + 16$
25044	Find the Sum of the Infinite Geometric Series	1 , 3 , 9 , 21	$1$ , $3$ , $9$ , $21$
25045	Find the Sum of the Infinite Geometric Series	1 , 4 , 16	$1$ , $4$ , $16$
25046	Find the Sum of the Infinite Geometric Series	1-1/3+1/9	$1 - \frac{1}{3} + \frac{1}{9}$
25047	Find the Sum of the Infinite Geometric Series	2 , 4 , 8 , 16 , 32	$2$ , $4$ , $8$ , $16$ , $32$
25048	Find the Sum of the Infinite Geometric Series	3 , -9 , 27 , -81 , 243	$3$ , $- 9$ , $27$ , $- 81$ , $243$
25049	Find the Sum of the Infinite Geometric Series	36 , 12 , 4	$36$ , $12$ , $4$
25050	Find the Sum of the Infinite Geometric Series	5+10+15+20+25+30	$5 + 10 + 15 + 20 + 25 + 30$
25051	Find the Sum of the Infinite Geometric Series	8 , 2 , 1/2	$8$ , $2$ , $\frac{1}{2}$
25052	Find the Sum of the Infinite Geometric Series	8+4+2+1	$8 + 4 + 2 + 1$
25053	Find the Sum of the Infinite Geometric Series	1/2 , 3/4 , 5/6	$\frac{1}{2}$ , $\frac{3}{4}$ , $\frac{5}{6}$
25054	Evaluate the Derivative at (dy)/(dx)=0	y=(x+1)^2+4x , (dy)/(dx)=0	$y = {(x + 1)}^{2} + 4 x$ , $\frac{d y}{d x} = 0$
25055	Evaluate the Derivative at a=-3	y=x-x^2 , a=-3	$y = x - x^{2}$ , $a = - 3$
25056	Evaluate the Derivative at a1=4	a*1=4 , r=3	$a \cdot 1 = 4$ , $r = 3$
25057	Evaluate the Derivative at r=10	v=4/3*(pr^3) , r=10	$v = \frac{4}{3} \cdot (p r^{3})$ , $r = 10$
25058	Evaluate the Derivative at t=.002	V=3.0sin(186t)cos(186t) , t=0.002	$V = 3 \sin (186 t) \cos (186 t)$ , $t = 0.002$
25059	Evaluate the Derivative at q=12	c=0.5q^2+2.3q+6 , q=12	$c = 0.5 q^{2} + 2.3 q + 6$ , $q = 12$
25060	Evaluate the Derivative at t=-1	s=5t^4-4t^3 , t=-1	$s = 5 t^{4} - 4 t^{3}$ , $t = - 1$
25061	Evaluate the Derivative at t=2	s=6t^3-5t^2 , t=2	$s = 6 t^{3} - 5 t^{2}$ , $t = 2$
25062	Evaluate the Derivative at t=2	s=4t^3-6t^2 , t=2	$s = 4 t^{3} - 6 t^{2}$ , $t = 2$
25063	Evaluate the Derivative at t=3	s=2t^3-8t^2 , t=3	$s = 2 t^{3} - 8 t^{2}$ , $t = 3$
25064	Evaluate the Derivative at t=3	s=2t^3-9t^2 , t=3	$s = 2 t^{3} - 9 t^{2}$ , $t = 3$
25065	Evaluate the Derivative at t=2	s=4t^2-5t , t=2	$s = 4 t^{2} - 5 t$ , $t = 2$
25066	Evaluate the Derivative at t=3	s=4t^3-6t^2 , t=3	$s = 4 t^{3} - 6 t^{2}$ , $t = 3$
25067	Evaluate the Derivative at t=3	s=5t^3-2t^2 , t=3	$s = 5 t^{3} - 2 t^{2}$ , $t = 3$
25068	Evaluate the Derivative at t=3	x=4t , t=3	$x = 4 t$ , $t = 3$
25069	Evaluate the Derivative at t=2	s=6t^3-3t^2 , t=2	$s = 6 t^{3} - 3 t^{2}$ , $t = 2$
25070	Evaluate the Derivative at t=3	s=7t^3-8t^2 , t=3	$s = 7 t^{3} - 8 t^{2}$ , $t = 3$
25071	Evaluate the Derivative at t=3	s=7t+19 , t=3	$s = 7 t + 19$ , $t = 3$
25072	Evaluate the Derivative at t=4	s=2t^3-4t^2 , t=4	$s = 2 t^{3} - 4 t^{2}$ , $t = 4$
25073	Evaluate the Derivative at t=5	x=2t , t=5	$x = 2 t$ , $t = 5$
25074	Evaluate the Derivative at t=5	x=4t , t=5	$x = 4 t$ , $t = 5$
25075	Evaluate the Derivative at u=cos(x)	y = fourth root of u , u=cos(x)	$y = \sqrt[4]{u}$ , $u = \cos (x)$
25076	Evaluate the Derivative at u=6x-7	y=7/(u^2) , u=6x-7	$y = \frac{7}{u^{2}}$ , $u = 6 x - 7$
25077	Evaluate the Derivative at x+y=7	q=5x^2+2y^2 , x+y=7	$q = 5 x^{2} + 2 y^{2}$ , $x + y = 7$
25078	Evaluate the Derivative at x=-1	y=34x-4x^4 , x=-1	$y = 34 x - 4 x^{4}$ , $x = - 1$
25079	Evaluate the Derivative at x+y=44	Q=xy , x+y=44	$Q = x y$ , $x + y = 44$
25080	Evaluate the Derivative at x=(`)/(3)	y=8sin(x)cos(x) , x=pi/3	$y = 8 \sin (x) \cos (x)$ , $x = \frac{π}{3}$
25081	Evaluate the Derivative at x=-2	y=7-x^2 , x=-2	$y = 7 - x^{2}$ , $x = - 2$
25082	Evaluate the Derivative at t=8	s=-16+t-12t^2 , t=8	$s = - 16 + t - 12 t^{2}$ , $t = 8$
25083	Evaluate the Derivative at t=6	s=7t+21 , t=6	$s = 7 t + 21$ , $t = 6$
25084	Evaluate the Derivative at t=5	s=9t+2 , t=5	$s = 9 t + 2$ , $t = 5$
25085	Evaluate the Derivative at t=3	x=3t^2+t , t=3	$x = 3 t^{2} + t$ , $t = 3$
25086	Evaluate the Derivative at t=4	s=5t^3-4t^2 , t=4	$s = 5 t^{3} - 4 t^{2}$ , $t = 4$
25087	Evaluate the Derivative at t=4	V=cos(102t)sin(201t) , t=4	$V = \cos (102 t) \sin (201 t)$ , $t = 4$
25088	Evaluate the Derivative at u=cos(x)	y=sin(u) , u=cos(x)	$y = \sin (u)$ , $u = \cos (x)$
25089	Evaluate the Derivative at x=0	y = square root of 3+5x , x=0	$y = \sqrt{3 + 5 x}$ , $x = 0$
25090	Evaluate the Derivative at x=-3	y=8-2x^2 , x=-3	$y = 8 - 2 x^{2}$ , $x = - 3$
25091	Evaluate the Derivative at x=-5	y = natural log of x^2 , x=-5	$y = \ln (x^{2})$ , $x = - 5$
25092	Evaluate the Derivative at x=1	y=(2x+1)^x , x=1	$y = {(2 x + 1)}^{x}$ , $x = 1$
25093	Evaluate the Derivative at x=1	y=1/(3x-5) , x=1	$y = \frac{1}{3 x - 5}$ , $x = 1$
25094	Evaluate the Derivative at x=1	y=41x-4x^4 , x=1	$y = 41 x - 4 x^{4}$ , $x = 1$
25095	Evaluate the Derivative at y(2)=1	(dy)/(dx)-2x=0 , y(2)=1	$\frac{d y}{d x} - 2 x = 0$ , $y (2) = 1$
25096	Evaluate the Derivative at y(2)=3	(3x^2+y-2)dx+(x+2y)dy=0 , y(2)=3	$(3 x^{2} + y - 2) d x + (x + 2 y) d y = 0$ , $y (2) = 3$
25097	Evaluate the Derivative at x=8	y=-((x^(-26/9))/(x^(1/9))-18 natural log of x^(1/9)x^-3+2x^-3)/9 , x=8	$y = - \frac{\frac{x^{- \frac{26}{9}}}{x^{\frac{1}{9}}} - 18 \ln (x^{\frac{1}{9}}) x^{- 3} + 2 x^{- 3}}{9}$ , $x = 8$
25098	Evaluate the Derivative at x=a	y=2+4x^2-2x^3 , x=a	$y = 2 + 4 x^{2} - 2 x^{3}$ , $x = a$
25099	Evaluate the Derivative at x=3	y=(2x-3)/(3x+5) , x=3	$y = \frac{2 x - 3}{3 x + 5}$ , $x = 3$
25100	Evaluate the Derivative at x=4	y=(3x^2-5x+1)(2-3x-x^2) , x=4	$y = (3 x^{2} - 5 x + 1) (2 - 3 x - x^{2})$ , $x = 4$