Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
152001	Find the Maximum/Minimum Value	x(16-2x)(12-2x)	$x (16 - 2 x) (12 - 2 x)$
152002	Find the Maximum/Minimum Value	x(16-2x)(14-2x)	$x (16 - 2 x) (14 - 2 x)$
152003	Find the Maximum/Minimum Value	4x^2+2x-7	$4 x^{2} + 2 x - 7$
152004	Find the Maximum/Minimum Value	-4.9x^2+24.5x+1	$- 4.9 x^{2} + 24.5 x + 1$
152005	Find the Maximum/Minimum Value	3x^2-4x-15	$3 x^{2} - 4 x - 15$
152006	Find the Maximum/Minimum Value	3x^3+15x^2-12x-60	$3 x^{3} + 15 x^{2} - 12 x - 60$
152007	Find the Maximum/Minimum Value	3x^2-30x-1	$3 x^{2} - 30 x - 1$
152008	Find the Maximum/Minimum Value	-3x^2-12x-13	$- 3 x^{2} - 12 x - 13$
152009	Find the Maximum/Minimum Value	3x^2+30x+74	$3 x^{2} + 30 x + 74$
152010	Find the Maximum/Minimum Value	-3x^2+6x-9	$- 3 x^{2} + 6 x - 9$
152011	Find the Maximum/Minimum Value	2x^2-3x+2	$2 x^{2} - 3 x + 2$
152012	Find the Maximum/Minimum Value	-2x^2-8x-12	$- 2 x^{2} - 8 x - 12$
152013	Find the Maximum/Minimum Value	32x-16x^2	$32 x - 16 x^{2}$
152014	Find the Maximum/Minimum Value	2x^2+20x+46	$2 x^{2} + 20 x + 46$
152015	Find the Maximum/Minimum Value	-2x^2+145x	$- 2 x^{2} + 145 x$
152016	Find the Maximum/Minimum Value	-2x^2+9x	$- 2 x^{2} + 9 x$
152017	Find the Maximum/Minimum Value	-2x^2-12x-17	$- 2 x^{2} - 12 x - 17$
152018	Find the Maximum/Minimum Value	-2.5x^2+450x	$- 2.5 x^{2} + 450 x$
152019	Find the Maximum/Minimum Value	-2.5x^2+800x	$- 2.5 x^{2} + 800 x$
152020	Find the Maximum/Minimum Value	-2x^2+12x-11	$- 2 x^{2} + 12 x - 11$
152021	Find the Maximum/Minimum Value	232x-5500-x^2	$232 x - 5500 - x^{2}$
152022	Find the Maximum/Minimum Value	-16t^2+64t+50	$- 16 t^{2} + 64 t + 50$
152023	Find the Maximum/Minimum Value	160t-16t^2	$160 t - 16 t^{2}$
152024	Find the Maximum/Minimum Value	-16t^2+40t+5	$- 16 t^{2} + 40 t + 5$
152025	Find the Maximum/Minimum Value	-16t^2+64t+190	$- 16 t^{2} + 64 t + 190$
152026	Find the Maximum/Minimum Value	-16x^2+32x+20	$- 16 x^{2} + 32 x + 20$
152027	Find the Maximum/Minimum Value	-16t^2+48t+288	$- 16 t^{2} + 48 t + 288$
152028	Find the Maximum/Minimum Value	-16t^2+368t	$- 16 t^{2} + 368 t$
152029	Find the Maximum/Minimum Value	(x+2)^2-6	${(x + 2)}^{2} - 6$
152030	Find the Maximum/Minimum Value	-(x-1)^2+5	$- {(x - 1)}^{2} + 5$
152031	Find the Maximum/Minimum Value	-16t^2+320	$- 16 t^{2} + 320$
152032	Find the Maximum/Minimum Value	-0.5x^2+1900x	$- 0.5 x^{2} + 1900 x$
152033	Find the Maximum/Minimum Value	0.5x^2-3x+1	$0.5 x^{2} - 3 x + 1$
152034	Find the Maximum/Minimum Value	x^2-7x+12	$x^{2} - 7 x + 12$
152035	Find the Maximum/Minimum Value	x^2-6x-6	$x^{2} - 6 x - 6$
152036	Find the Maximum/Minimum Value	-x^2-8x+3	$- x^{2} - 8 x + 3$
152037	Find the Maximum/Minimum Value	x^3	$x^{3}$
152038	Find the Maximum/Minimum Value	x^3+3x^2-72x	$x^{3} + 3 x^{2} - 72 x$
152039	Find the Maximum/Minimum Value	x^2-2x-48	$x^{2} - 2 x - 48$
152040	Find the Maximum/Minimum Value	x^2-400x+52168	$x^{2} - 400 x + 52168$
152041	Find the Maximum/Minimum Value	-x^2-6x-3	$- x^{2} - 6 x - 3$
152042	Find the Maximum/Minimum Value	x^2-6	$x^{2} - 6$
152043	Find the Maximum/Minimum Value	x^2-4x-4	$x^{2} - 4 x - 4$
152044	Write as an Equation	(6,-2)	$(6, - 2)$
152045	Write as an Equation	f(x)=-1	$f (x) = - 1$
152046	Factor over the Complex Numbers	10i	$10 i$
152047	Factor over the Complex Numbers	-11+3i	$- 11 + 3 i$
152048	Factor over the Complex Numbers	9a^2+25b^2	$9 a^{2} + 25 b^{2}$
152049	Factor over the Complex Numbers	4-6i	$4 - 6 i$
152050	Factor over the Complex Numbers	-4-13i	$- 4 - 13 i$
152051	Factor over the Complex Numbers	-5+3i	$- 5 + 3 i$
152052	Factor over the Complex Numbers	3-3 square root of 3i	$3 - 3 \sqrt{3} i$
152053	Factor over the Complex Numbers	16x^2+25	$16 x^{2} + 25$
152054	Verify the Identity	sin(arcsin(x))=x	$\sin (S {in}^{- 1} x) = x$
152055	Verify the Identity	tan(x)^2+4=sec(x)^2+3	$\tan^{2} (x) + 4 = \sec^{2} (x) + 3$
152056	Verify the Identity	sec(x)(csc(x)-2sin(x))=cot(x)-tan(x)	$\sec (x (\csc (x) - 2 \sin (x))) = \cot (x) - \tan (x)$
152057	Verify the Identity	csc(x)cot(x)(1-cos(x)^2)=sec(x)	$\csc (x) \cot (x (1 - \cos^{2} (x))) = \sec (x)$
152058	Verify the Identity	cos(a/2) = square root of (1-cos(a))/2	$\cos (\frac{a}{2}) = \sqrt{\frac{1 - \cos (a)}{2}}$
152059	Verify the Identity	log base 2 of 10+ log base 2 of 4 = log base 2 of 40	$\log_{2} (10) + \log_{2} (4) = \log_{2} (40)$
152060	Verify the Identity	(sec(x)^2-1)cos(x)^2=sin(x)^2	$(\sec^{2} (x) - 1) \cos^{2} (x) = \sin^{2} (x)$
152061	Verify the Identity	(sin(x)-sin(5x))/(cos(x)+cos(5x))=tan(3x)	$\frac{\sin (x) - \sin (5 x)}{\cos (x) + \cos (5 x)} = \tan (3 x)$
152062	Verify the Identity	log base 6 of 18- log base 6 of 6 = log base 6 of 3	$\log_{6} (18) - \log_{6} (6) = \log_{6} (3)$
152063	Factor over the Complex Numbers	x^3-1	$x^{3} - 1$
152064	Find the Inverse	(8,-2)	$(8, - 2)$
152065	Find the Inverse	[[1,-1,2],[-3,-2,4],[-1,1,1]]	$[\begin{array}{c} 1 & - 1 & 2 \\ - 3 & - 2 & 4 \\ - 1 & 1 & 1 \end{array}]$
152066	Find the Inverse	[[1,0,1],[0,-1,0],[3,3,2]]	$[\begin{array}{c} 1 & 0 & 1 \\ 0 & - 1 & 0 \\ 3 & 3 & 2 \end{array}]$
152067	Find the Inverse	[[2,-3],[3,-4]]	$[\begin{array}{c} 2 & - 3 \\ 3 & - 4 \end{array}]$
152068	Find the Inverse	[[2,-1],[3,-2]]	$[\begin{array}{c} 2 & - 1 \\ 3 & - 2 \end{array}]$
152069	Find the Inverse	[[-1,-4],[5,5]]	$[\begin{array}{c} - 1 & - 4 \\ 5 & 5 \end{array}]$
152070	Find the Inverse	[[1,4],[1,3]]	$[\begin{array}{c} 1 & 4 \\ 1 & 3 \end{array}]$
152071	Find the Inverse	[[-1,3],[2,4]]	$[\begin{array}{c} - 1 & 3 \\ 2 & 4 \end{array}]$
152072	Find the Inverse	[[-4,-8],[4,8]]	$[\begin{array}{c} - 4 & - 8 \\ 4 & 8 \end{array}]$
152073	Find the Inverse	[[5,6,-2],[0,1,4],[-1,2,3]]	$[\begin{array}{c} 5 & 6 & - 2 \\ 0 & 1 & 4 \\ - 1 & 2 & 3 \end{array}]$
152074	Find the Inverse	[[5,9],[-2,x]]=8	$[\begin{array}{c} 5 & 9 \\ - 2 & x \end{array}] = 8$
152075	Find the Inverse	[[5,9],[4,7]]	$[\begin{array}{c} 5 & 9 \\ 4 & 7 \end{array}]$
152076	Find the Inverse	[[5,8],[2,1]]	$[\begin{array}{c} 5 & 8 \\ 2 & 1 \end{array}]$
152077	Find the Inverse	[[5,x],[3,6]]	$[\begin{array}{c} 5 & x \\ 3 & 6 \end{array}]$
152078	Find the Inverse	[[6,-12],[-5,10]]	$[\begin{array}{c} 6 & - 12 \\ - 5 & 10 \end{array}]$
152079	Find the Inverse	[[8,-2],[-4,1]]	$[\begin{array}{c} 8 & - 2 \\ - 4 & 1 \end{array}]$
152080	Find the Inverse	[[-8,5],[3,-2]]	$[\begin{array}{c} - 8 & 5 \\ 3 & - 2 \end{array}]$
152081	Find the Inverse	[[6,-3],[-7,4]]	$[\begin{array}{c} 6 & - 3 \\ - 7 & 4 \end{array}]$
152082	Find the Inverse	[[9,3],[15,5]]	$[\begin{array}{c} 9 & 3 \\ 15 & 5 \end{array}]$
152083	Find the Inverse	table[[x,y],[12,24],[14,38],[-7,4]]	$\begin{array}{c} x & y \\ 12 & 24 \\ 14 & 38 \\ - 7 & 4 \end{array}$
152084	Find the Inverse	table[[x,y],[-2,-3],[-1,3],[0,9]]	$\begin{array}{c} x & y \\ - 2 & - 3 \\ - 1 & 3 \\ 0 & 9 \end{array}$
152085	Find the Inverse	[[9,3],[24,8]]	$[\begin{array}{c} 9 & 3 \\ 24 & 8 \end{array}]$
152086	Find the Inverse	A=[[1,3,2],[1,3,3],[2,7,8]]	$A = [\begin{array}{c} 1 & 3 & 2 \\ 1 & 3 & 3 \\ 2 & 7 & 8 \end{array}]$
152087	Verify the Identity	(1+cos(x))/(1-cos(x))=(sec(x)+1)/(sec(x)-1)	$\frac{(1 + \cos (x))}{(1 - \cos (x))} = \frac{(\sec (x) + 1)}{(\sec (x) - 1)}$
152088	Find the Equation Given the Roots	5 , 3+3i	$5$ , $3 + 3 i$
152089	Find the Equation Given the Roots	-50 , -33 , -16 , 1	$- 50$ , $- 33$ , $- 16$ , $1$
152090	Find the Equation Given the Roots	5-2i	$5 - 2 i$
152091	Find the Equation Given the Roots	5 , -6i	$5$ , $- 6 i$
152092	Find the Equation Given the Roots	6 , -7	$6$ , $- 7$
152093	Find the Equation Given the Roots	-64 , 0.001 , 27/125	$- 64$ , $0.001$ , $\frac{27}{125}$
152094	Find the y-intercept	2x-3y=-6	$2 x - 3 y = - 6$
152095	Find the Equation Given the Roots	X=-1 , -1 , 6	$X = - 1$ , $- 1$ , $6$
152096	Find the Equation Given the Roots	x=-2 , x=5	$x = - 2$ , $x = 5$
152097	Find the y-intercept	y=5x-10	$y = 5 x - 10$
152098	Find the y-intercept	y=13	$y = 13$
152099	Write as a Set of Linear Factors	f(x)=x^4-81	$f (x) = x^{4} - 81$
152100	Find the Equation Given the Roots	3 , -3i	$3$ , $- 3 i$