Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
142001	Find Amplitude, Period, and Phase Shift	115+25sin(160pit)	$115 + 25 \sin (160 π t)$
142002	Find Amplitude, Period, and Phase Shift	120sin(20pit-pi/3)	$120 \sin (20 π t - \frac{π}{3})$
142003	Find Amplitude, Period, and Phase Shift	120sin(30pit-pi/2)	$120 \sin (30 π t - \frac{π}{2})$
142004	Find Amplitude, Period, and Phase Shift	2.3cos(0.25x)	$2.3 \cos (0.25 x)$
142005	Find Where Undefined/Discontinuous	f(x)=(x-6)/(x^2-7x+6)	$f (x) = \frac{x - 6}{x^{2} - 7 x + 6}$
142006	Find Where Undefined/Discontinuous	f(x)=(x+4)/(x^2+7x+10)	$f (x) = \frac{x + 4}{x^{2} + 7 x + 10}$
142007	Find Where Undefined/Discontinuous	f(x)=(x-11)/(x^2-121)	$f (x) = \frac{x - 11}{x^{2} - 121}$
142008	Find Where Undefined/Discontinuous	f(x)=(x-2)/(x^2-7x+10)	$f (x) = \frac{x - 2}{x^{2} - 7 x + 10}$
142009	Find Where Undefined/Discontinuous	f(x)=(x^2-9)/(x^2+x-20)	$f (x) = \frac{x^{2} - 9}{x^{2} + x - 20}$
142010	Find Amplitude, Period, and Phase Shift	-tan(0.4x)	$- \tan (0.4 x)$
142011	Find Amplitude, Period, and Phase Shift	tan(2x-pi/2)	$\tan (2 x - \frac{π}{2})$
142012	Find Amplitude, Period, and Phase Shift	tan(x-pi/2)	$\tan (x - \frac{π}{2})$
142013	Find Where Undefined/Discontinuous	f(x)=((x+3)(x-2))/((x-2)(x+4))	$f (x) = \frac{(x + 3) (x - 2)}{(x - 2) (x + 4)}$
142014	Find Where Undefined/Discontinuous	f(x)=(x^2+2x-8)/(x^2-x-2)	$f (x) = \frac{x^{2} + 2 x - 8}{x^{2} - x - 2}$
142015	Find Where Undefined/Discontinuous	f(x)=(2x^2+8x)/(x^2+6x+8)	$f (x) = \frac{2 x^{2} + 8 x}{x^{2} + 6 x + 8}$
142016	Find the Equation Using Two Points	(-5,-3) , (1,-1)	$(- 5, - 3) (1, - 1)$
142017	Find the Equation Using Two Points	(5,-2) , (-1,6)	$(5, - 2) (- 1, 6)$
142018	Find the Equation Using Two Points	(5,-1) , (-5,5)	$(5, - 1)$ , $(- 5, 5)$
142019	Find the Equation Using Two Points	(4,2) , (12,5)	$(4, 2) (12, 5)$
142020	Find the Equation Using Two Points	(-2,11) , (9,22)	$(- 2, 11) (9, 22)$
142021	Find the Equation Using Two Points	(2,2) , (5,5)	$(2, 2) (5, 5)$
142022	Find the Equation Using Two Points	(-2,3) , (0,-1)	$(- 2, 3) (0, - 1)$
142023	Find the Equation Using Two Points	(-2,4) , (5,4)	$(- 2, 4) (5, 4)$
142024	Find the Equation Using Two Points	(3,2) , (5,6)	$(3, 2)$ , $(5, 6)$
142025	Find the Equation Using Two Points	(-3,3) , (0,-1)	$(- 3, 3) (0, - 1)$
142026	Find the Equation Using Two Points	(3,11) , (-2,1)	$(3, 11) (- 2, 1)$
142027	Find the Equation Using Two Points	(3,2) , (9,5)	$(3, 2) (9, 5)$
142028	Find the Equation Using Two Points	(-1,2) , (0,6) , (1,18) , (2,54)	$(- 1, 2)$ , $(0, 6)$ , $(1, 18)$ , $(2, 54)$
142029	Find the Equation Using Two Points	(1,4) , (-3,2)	$(1, 4) (- 3, 2)$
142030	Find the Equation Using Two Points	(-1,4) , (0,5) , (1,7)	$(- 1, 4)$ , $(0, 5)$ , $(1, 7)$
142031	Find the Equation Using Two Points	(1,7) , (0,0)	$(1, 7) (0, 0)$
142032	Find the Equation Using Two Points	(1,5) , (2,7)	$(1, 5) (2, 7)$
142033	Find the Equation Using Two Points	(-1,5) , (2,-7)	$(- 1, 5) (2, - 7)$
142034	Find the Equation Using Two Points	(0,0) , (8,6)	$(0, 0)$ , $(8, 6)$
142035	Find the Equation Using Two Points	(0,0) , (2,5)	$(0, 0) (2, 5)$
142036	Find the Upper and Lower Bounds	x^3+3x^2-5x-15	$x^{3} + 3 x^{2} - 5 x - 15$
142037	Find the Upper and Lower Bounds	x^4+5x^3+5x^2-5x-6	$x^{4} + 5 x^{3} + 5 x^{2} - 5 x - 6$
142038	Find the Upper and Lower Bounds	13x^4+13x^3-x^2-52x-52	$13 x^{4} + 13 x^{3} - x^{2} - 52 x - 52$
142039	Find the Equation Using Two Points	(0,2) , (1,1.3)	$(0, 2) (1, 1.3)$
142040	Find the Equation Using Two Points	(0,5) , (1,2)	$(0, 5) (1, 2)$
142041	Find the Equation Using Two Points	(0,5) , (3,-4)	$(0, 5) (3, - 4)$
142042	Find the Equation Using Two Points	(0,4) , (7,18)	$(0, 4) (7, 18)$
142043	Find the Equation Using Two Points	(0,6) , (-10,0)	$(0, 6) (- 10, 0)$
142044	Subtract the Matrices	[[2,9,6],[-1,2,3]]-[[8,-4,-5],[6,1,0]]	$[\begin{array}{c} 2 & 9 & 6 \\ - 1 & 2 & 3 \end{array}] - [\begin{array}{c} 8 & - 4 & - 5 \\ 6 & 1 & 0 \end{array}]$
142045	Subtract the Matrices	[[29,7],[312,41]]-[[72,3],[58,60]]=	$[\begin{array}{c} 29 & 7 \\ 312 & 41 \end{array}] - [\begin{array}{c} 72 & 3 \\ 58 & 60 \end{array}] =$
142046	Subtract the Matrices	[[1.5,-1.9],[0,4.6]]-[[8.3,-3.2],[2.1,5.6]]	$[\begin{array}{c} 1.5 & - 1.9 \\ 0 & 4.6 \end{array}] - [\begin{array}{c} 8.3 & - 3.2 \\ 2.1 & 5.6 \end{array}]$
142047	Subtract the Matrices	[[2,2,-5]]-[[-4,4,3]]	$[\begin{array}{c} 2 & 2 & - 5 \end{array}] - [\begin{array}{c} - 4 & 4 & 3 \end{array}]$
142048	Subtract the Matrices	[[4,2],[5,7],[2,-2]]-[[5,6],[4,-6],[3,-3]]	$[\begin{array}{c} 4 & 2 \\ 5 & 7 \\ 2 & - 2 \end{array}] - [\begin{array}{c} 5 & 6 \\ 4 & - 6 \\ 3 & - 3 \end{array}]$
142049	Subtract the Matrices	[[-4,6,7],[3,-5,12],[7,-11,14]]-[[6,10,-4],[-5,6,-8],[3,11,7]]	$[\begin{array}{c} - 4 & 6 & 7 \\ 3 & - 5 & 12 \\ 7 & - 11 & 14 \end{array}] - [\begin{array}{c} 6 & 10 & - 4 \\ - 5 & 6 & - 8 \\ 3 & 11 & 7 \end{array}]$
142050	Subtract the Matrices	[[4,-7,1],[-6,0,0]]-[[3,2,-4],[6,2,6]]	$[\begin{array}{c} 4 & - 7 & 1 \\ - 6 & 0 & 0 \end{array}] - [\begin{array}{c} 3 & 2 & - 4 \\ 6 & 2 & 6 \end{array}]$
142051	Subtract the Matrices	[[4,-1/2,-1],[-1,4,3]]-[[30,10],[40,0]]	$[\begin{array}{c} 4 & - \frac{1}{2} & - 1 \\ - 1 & 4 & 3 \end{array}] - [\begin{array}{c} 30 & 10 \\ 40 & 0 \end{array}]$
142052	Subtract the Matrices	[[4,-1],[2,0]]-2[[2,-4],[1,3]]	$[\begin{array}{c} 4 & - 1 \\ 2 & 0 \end{array}] - 2 [\begin{array}{c} 2 & - 4 \\ 1 & 3 \end{array}]$
142053	Subtract the Matrices	[[4,-9],[8,1],[-8,6]]-[[8,9],[4,-7]]	$[\begin{array}{c} 4 & - 9 \\ 8 & 1 \\ - 8 & 6 \end{array}] - [\begin{array}{c} 8 & 9 \\ 4 & - 7 \end{array}]$
142054	Subtract the Matrices	[[9,-3,2],[8,-1,0],[11,15,3]]-[[1,0,1],[-3,9,-7],[-20,2,4]]	$[\begin{array}{c} 9 & - 3 & 2 \\ 8 & - 1 & 0 \\ 11 & 15 & 3 \end{array}] - [\begin{array}{c} 1 & 0 & 1 \\ - 3 & 9 & - 7 \\ - 20 & 2 & 4 \end{array}]$
142055	Subtract the Matrices	[[6,-7],[-6,8],[7,6]]-[[2,7],[2,4]]	$[\begin{array}{c} 6 & - 7 \\ - 6 & 8 \\ 7 & 6 \end{array}] - [\begin{array}{c} 2 & 7 \\ 2 & 4 \end{array}]$
142056	Subtract the Matrices	[[0,4,2],[5,4,0]]-[[2,1,-4],[6,4,-3]]	$[\begin{array}{c} 0 & 4 & 2 \\ 5 & 4 & 0 \end{array}] - [\begin{array}{c} 2 & 1 & - 4 \\ 6 & 4 & - 3 \end{array}]$
142057	Find the Parallel Line	y=-2x-5 (-3,-3)	$y = - 2 x - 5$ $(- 3, - 3)$
142058	Find the Parallel Line	y=3x+4 (5,-7)	$y = 3 x + 4$ $(5, - 7)$
142059	Find the Parallel Line	y=-2/3x+5 (5,-6)	$y = - \frac{2}{3} x + 5$ $(5, - 6)$
142060	Subtract the Matrices	1/2[[6,12],[4,24]]-1/4[[8,16],[0,44]]	$\frac{1}{2} [\begin{array}{c} 6 & 12 \\ 4 & 24 \end{array}] - \frac{1}{4} [\begin{array}{c} 8 & 16 \\ 0 & 44 \end{array}]$
142061	Subtract the Matrices	[[1/2,1/4],[3,8]]-[[2,3/4],[1/2,5]]	$[\begin{array}{c} \frac{1}{2} & \frac{1}{4} \\ 3 & 8 \end{array}] - [\begin{array}{c} 2 & \frac{3}{4} \\ \frac{1}{2} & 5 \end{array}]$
142062	Find the Parallel Line	y=5x+7 ; (3,18)	$y = 5 x + 7$ ; $(3, 18)$
142063	Find the Parallel Line	y=-7(7,5)	$y = - 7 (7, 5)$
142064	Find the Equation Using Two Points	(8,5) , (-6,5)	$(8, 5) (- 6, 5)$
142065	Find the Equation Using Two Points	(-6,24) , (5,-31)	$(- 6, 24) (5, - 31)$
142066	Find the Equation Using Two Points	(-7,-3) , (-2,4)	$(- 7, - 3) (- 2, 4)$
142067	Find the Parallel Line	(-3,6) x+2y=5	$(- 3, 6)$ $x + 2 y = 5$
142068	Find the Parallel Line	2x-y=-2 (0,0)	$2 x - y = - 2$ $(0, 0)$
142069	Find the Parallel Line	-3x+y=15 (1,2)	$- 3 x + y = 15$ $(1, 2)$
142070	Find the Parallel Line	(4,3) , y=7/4x+1	$(4, 3)$ , $y = \frac{7}{4} x + 1$
142071	Find the Parallel Line	(-2,4) , y=-3x+10	$(- 2, 4)$ , $y = - 3 x + 10$
142072	Find the Parallel Line	(2,5) y=x+6	$(2, 5)$ $y = x + 6$
142073	Find the Range	\|x-12\|-2	$\| x - 12 \| - 2$
142074	Find the Range	square root of x-3+8	$\sqrt{x - 3} + 8$
142075	Find the Range	square root of x-5	$\sqrt{x - 5}$
142076	Find the Range	square root of x-6	$\sqrt{x - 6}$
142077	Find the Range	square root of x^2-16	$\sqrt{x^{2} - 16}$
142078	Find the Range	\|x\|-2	$\| x \| - 2$
142079	Find the Range	(2x-4)/(x^2+x-2)	$\frac{2 x - 4}{x^{2} + x - 2}$
142080	Find the Range	(x-1)^2	${(x - 1)}^{2}$
142081	Find the Range	square root of x+3	$\sqrt{x} + 3$
142082	Find the Range	-x^2-4x-7	$- x^{2} - 4 x - 7$
142083	Find the Range	3\|x-4\|-5	$3 \| x - 4 \| - 5$
142084	Solve in Terms of the Arbitrary Variable U	I=(A-U)/L	$I = \frac{A - U}{L}$
142085	Solve in Terms of the Arbitrary Variable x	3x+5y-z=6x+y+2z=4	$3 x + 5 y - z = 6 x + y + 2 z = 4$
142086	Solve in Terms of the Arbitrary Variable x	3x+5y-z=6x+y+2z=5	$3 x + 5 y - z = 6 x + y + 2 z = 5$
142087	Solve in Terms of the Arbitrary Variable x	3x+6y-z=9x+y+2z=4	$3 x + 6 y - z = 9 x + y + 2 z = 4$
142088	Solve in Terms of the Arbitrary Variable x	6x-4y+z=7x+y=14	$6 x - 4 y + z = 7 x + y = 14$
142089	Solve in Terms of the Arbitrary Variable n	a_n=3^n	$a_{n} = 3^{n}$
142090	Solve in Terms of the Arbitrary Variable n	a_n=3n-2	$a_{n} = 3 n - 2$
142091	Solve in Terms of the Arbitrary Variable a	a_n=5n-1	$a_{n} = 5 n - 1$
142092	Solve in Terms of the Arbitrary Variable a	a_n=n-4	$a_{n} = n - 4$
142093	Solve in Terms of the Arbitrary Variable a	a_1=2 ; a_n=1/3a_n-1	$a_{1} = 2$ ; $a_{n} = \frac{1}{3} a_{n - 1}$
142094	Solve in Terms of the Arbitrary Variable a	a_n=14-9n	$a_{n} = 14 - 9 n$
142095	Solve in Terms of the Arbitrary Variable z	5x-3y+z=0x+y=0-20x+12y-4z=0	$5 x - 3 y + z = 0 x + y = 0 - 20 x + 12 y - 4 z = 0$
142096	Solve in Terms of the Arbitrary Variable z	4x-2y+z=0x+y=0-8x+4y-2z=0	$4 x - 2 y + z = 0 x + y = 0 - 8 x + 4 y - 2 z = 0$
142097	Find the Probability Using the Z-Score	0<z<1.00	$0 < z < 1$
142098	Solve in Terms of the Arbitrary Variable z	x-8y+z=13x-y+2z=1	$x - 8 y + z = 13 x - y + 2 z = 1$
142099	Solve in Terms of the Arbitrary Variable z	2x-3y+z=0x+y=0-4x+6y-2z=0	$2 x - 3 y + z = 0 x + y = 0 - 4 x + 6 y - 2 z = 0$
142100	Solve in Terms of the Arbitrary Variable x	x-2y+5z=92x-y+2z=8	$x - 2 y + 5 z = 92 x - y + 2 z = 8$