Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
128101	Find the Plane Through (1,2,-3),(3,5, -3) Parallel to the Line Through (1,-1,1),(-2,-2, -2)	(1,2,-3) , (3,5,-3) , (1,-1,1) , (-2,-2,-2)	$(1, 2, - 3)$ , $(3, 5, - 3)$ , $(1, - 1, 1)$ , $(- 2, - 2, - 2)$
128102	Graph the Interval	(-8,3)	$(- 8, 3)$
128103	Find the Upper or Third Quartile	22 , 19 , 16 , 19 , 23 , 20 , 20 , 21 , 22 , 21 , 14	$22$ , $19$ , $16$ , $19$ , $23$ , $20$ , $20$ , $21$ , $22$ , $21$ , $14$
128104	Solve Using an Inverse Matrix	-5x+3y=82x-4y=-20	$- 5 x + 3 y = 82 x - 4 y = - 20$
128105	Find the Behavior (Leading Coefficient Test)	x^4-4x^2	$x^{4} - 4 x^{2}$
128106	Find the Lower or First Quartile	60 , 50 , 130 , 200 , 180 , 150 , 100 , 140	$60$ , $50$ , $130$ , $200$ , $180$ , $150$ , $100$ , $140$
128107	Determine if Perpendicular	y=3/2x+5 , y=-2/3x+15	$y = \frac{3}{2} x + 5$ , $y = - \frac{2}{3} x + 15$
128108	Determine if Perpendicular	y=3/4x+1y=4/3x+1	$y = \frac{3}{4} x + 1 y = \frac{4}{3} x + 1$
128109	Determine if Perpendicular	y=4x+4 , y=6x	$y = 4 x + 4$ , $y = 6 x$
128110	Find the Leading Coefficient	-2xy^5+3x^7-10x^3y^6+8x^6+4	$- 2 x y^{5} + 3 x^{7} - 10 x^{3} y^{6} + 8 x^{6} + 4$
128111	Find the Leading Coefficient	-2a^3b^2+5ab^5+7b^4+8	$- 2 a^{3} b^{2} + 5 a b^{5} + 7 b^{4} + 8$
128112	Find the Local Maxima and Minima	f(x)=-0.02x^4+0.36x^2-1.62	$f (x) = - 0.02 x^{4} + 0.36 x^{2} - 1.62$
128113	Find the Second Derivative	( natural log of x)^2	$\ln^{2} (x)$
128114	Find the Sum of the Infinite Geometric Series	2 , 12 , 72 , 432	$2$ , $12$ , $72$ , $432$
128115	Expand Using De Moivre's Theorem	(2+2i)^7	${(2 + 2 i)}^{7}$
128116	Find the Slope and y-intercept	f(x)=5x+4	$f (x) = 5 x + 4$
128117	Find the Slope and y-intercept	g(x)=-3x+5	$g (x) = - 3 x + 5$
128118	Find the Inverse	{(-1,8),(4,-2),(-2,4)}	${(- 1, 8), (4, - 2), (- 2, 4)}$
128119	Determine if A and B are Mutually Exclusive	A=(11,12,13) , B=(14,15,16)	$A = (11, 12, 13)$ , $B = (14, 15, 16)$
128120	Find the Upper or Third Quartile	20 , 21 , 24 , 25 , 28 , 29 , 35 , 37 , 39 , 42 , 44	$20$ , $21$ , $24$ , $25$ , $28$ , $29$ , $35$ , $37$ , $39$ , $42$ , $44$
128121	Find the Upper or Third Quartile	24 , 20 , 35 , 39 , 28 , 42 , 25 , 29 , 44 , 21 , 37	$24$ , $20$ , $35$ , $39$ , $28$ , $42$ , $25$ , $29$ , $44$ , $21$ , $37$
128122	Graph the Interval	[3,infinity)	$[3, \infty)$
128123	Find the Pre-Image	A=[[-1],[15],[2]] , x=[[16],[-2],[3]]	$A = [\begin{array}{c} - 1 \\ 15 \\ 2 \end{array}]$ , $x = [\begin{array}{c} 16 \\ - 2 \\ 3 \end{array}]$
128124	Find the Lower or First Quartile	10 , 11 , 12 , 15 , 17 , 19 , 22 , 24 , 29 , 33 , 38	$10$ , $11$ , $12$ , $15$ , $17$ , $19$ , $22$ , $24$ , $29$ , $33$ , $38$
128125	Find the Local Maxima and Minima	y=3x^3-4x^2-6x+2	$y = 3 x^{3} - 4 x^{2} - 6 x + 2$
128126	Determine if A and B are Mutually Exclusive	A=(1,2,3) , B=(6,7,8)	$A = (1, 2, 3)$ , $B = (6, 7, 8)$
128127	Find the Domain of the Quotient of the Two Functions	f(x)=x^2+1 , g(x)=2x	$f (x) = x^{2} + 1$ , $g (x) = 2 x$
128128	Find the Domain of the Quotient of the Two Functions	f(x)=x^2-1 , g(x)=x+1	$f (x) = x^{2} - 1$ , $g (x) = x + 1$
128129	Identify the Progression	2/3 , 3/4 , 4/5 , 5/6 , 6/7	$\frac{2}{3}$ , $\frac{3}{4}$ , $\frac{4}{5}$ , $\frac{5}{6}$ , $\frac{6}{7}$
128130	Find the Local Maxima and Minima	f(x)=x^3-1.2x+1	$f (x) = x^{3} - 1.2 x + 1$
128131	Find the Local Maxima and Minima	f(x)=x^3-4x^2+5	$f (x) = x^{3} - 4 x^{2} + 5$
128132	Determine if Parallel	y=3x , y=-1/3x	$y = 3 x$ , $y = - \frac{1}{3} x$
128133	Maximize the Equation given the Constraints	2x+2y=6 , x+2y>9	$2 x + 2 y = 6$ , $x + 2 y > 9$
128134	Determine the Types of the Numbers	101 , 323	$101$ , $323$
128135	Find Reduced Row Echelon Form	[[-1,1,1,-4],[-1,4,-8,-22],[6,-2,-18,0]]	$[\begin{array}{c} - 1 & 1 & 1 & - 4 \\ - 1 & 4 & - 8 & - 22 \\ 6 & - 2 & - 18 & 0 \end{array}]$
128136	Solve over the Interval	2(x^2-1)=10 , (0,40)	$2 (x^{2} - 1) = 10$ , $(0, 40)$
128137	Find the Slope and y-intercept	f(x)=4x-6	$f (x) = 4 x - 6$
128138	Find the Slope and y-intercept	f(x)=5	$f (x) = 5$
128139	Find the Slope and y-intercept	f(x)=5x+3	$f (x) = 5 x + 3$
128140	Find the Slope and y-intercept	f(x)=5x-4	$f (x) = 5 x - 4$
128141	Determine if @POINT is a Solution	2x+7<=3x-5	$2 x + 7 \leq 3 x - 5$
128142	Convert from Interval to Inequality	(-10,7) union (7,11)	$(- 10, 7) \cup (7, 11)$
128143	Find Where Increasing/Decreasing	y=5^x	$y = 5^{x}$
128144	Find the Local Maxima and Minima	e^(-x^2)	$e^{- x^{2}}$
128145	Simplify	(1,4)-5(1,1)	$(1, 4) - 5 (1, 1)$
128146	Find the Points of Intersection	y=2xy=x^2-3	$y = 2 x y = x^{2} - 3$
128147	Find the Points of Intersection	y<=xy>=1-x	$y \leq x y \geq 1 - x$
128148	Write as an Equation	f(x)=\|x\|	$f (x) = \| x \|$
128149	Graph the Interval	(negative infinity,-7) union (-7,infinity)	$(- \infty, - 7) \cup (- 7, \infty)$
128150	Write as y=mx+b	f(x)=x+2	$f (x) = x + 2$
128151	Find the Lower or First Quartile	12 , 33 , 15 , 22 , 29 , 11 , 17 , 19 , 16 , 24 , 38	$12$ , $33$ , $15$ , $22$ , $29$ , $11$ , $17$ , $19$ , $16$ , $24$ , $38$
128152	Find the Lower or First Quartile	20 , 21 , 14 , 21 , 21 , 12 , 18 , 23 , 20 , 23 , 12	$20$ , $21$ , $14$ , $21$ , $21$ , $12$ , $18$ , $23$ , $20$ , $23$ , $12$
128153	Find the Parent Function	f(x)=3^x	$f (x) = 3^{x}$
128154	Find the Set Complement A \ B	A=(1,2,3) , B=(0,1,2,3,5,9)	$A = (1, 2, 3)$ , $B = (0, 1, 2, 3, 5, 9)$
128155	Find the Inverse	(0,0) , (-6,6)	$(0, 0)$ , $(- 6, 6)$
128156	Cancel the Common Factors	(4x+20)/(x^2+2x-15)	$\frac{4 x + 20}{x^{2} + 2 x - 15}$
128157	Expand Using De Moivre's Theorem	(1+i)^8	${(1 + i)}^{8}$
128158	Determine if Parallel	y=4x+4 , y=6x	$y = 4 x + 4$ , $y = 6 x$
128159	Find Reduced Row Echelon Form	[[1,-1,4,-13],[3,0,1,-2],[1,3,1,13]]	$[\begin{array}{c} 1 & - 1 & 4 & - 13 \\ 3 & 0 & 1 & - 2 \\ 1 & 3 & 1 & 13 \end{array}]$
128160	Determine if @POINT is a Solution	(x+3)-y=4 , x-4y=10 , (-2,-3)	$(x + 3) - y = 4$ , $x - 4 y = 10$ , $(- 2, - 3)$
128161	Find the Points of Intersection	2x+4y<=123x-y<2	$2 x + 4 y \leq 123 x - y < 2$
128162	Find the Points of Intersection	3x+5y<=152x+2y<=8	$3 x + 5 y \leq 152 x + 2 y \leq 8$
128163	Find Where Increasing/Decreasing	y=(1/2)^x	$y = {(\frac{1}{2})}^{x}$
128164	Find Where Increasing/Decreasing	y=129(1.63)^x	$y = 129 {(1.63)}^{x}$
128165	Convert from Interval to Inequality	[-5,infinity)	$[- 5, \infty)$
128166	Convert from Interval to Inequality	[-5,4)	$[- 5, 4)$
128167	Convert from Interval to Inequality	[-1,9) union (2,10]	$[- 1, 9) \cup (2, 10]$
128168	Find the Lower or First Quartile	12 , 33 , 15 , 22 , 29 , 11 , 17 , 19 , 13 , 24 , 38	$12$ , $33$ , $15$ , $22$ , $29$ , $11$ , $17$ , $19$ , $13$ , $24$ , $38$
128169	Solve Using an Augmented Matrix	3x+6y+4z=737x+5y+9z=897x+7y-2z=96	$3 x + 6 y + 4 z = 737 x + 5 y + 9 z = 897 x + 7 y - 2 z = 96$
128170	Find the Domain	f(x)=-2x if x<=0; 2x+4 if x>0	$f (x) = {\begin{cases} - 2 x & x \leq 0 \\ 2 x + 4 & x > 0 \end{cases}$
128171	Find the Difference of the Two Functions	f(x)=4x , g(x)=6x+2	$f (x) = 4 x$ , $g (x) = 6 x + 2$
128172	Find the Sum of the Series	1+1/7+1/49+1/343	$1 + \frac{1}{7} + \frac{1}{49} + \frac{1}{343}$
128173	Find the Constant Using Slope	3y=kx , m=0	$3 y = k x$ , $m = 0$
128174	Determine if @POINT is a Solution	0.5x-2y>=3	$0.5 x - 2 y \geq 3$
128175	Find the Leading Coefficient	(x+y)^5	${(x + y)}^{5}$
128176	Find the Leading Coefficient	10x^2+8x-6x^3+4x^2+12x^3-x+20	$10 x^{2} + 8 x - 6 x^{3} + 4 x^{2} + 12 x^{3} - x + 20$
128177	Find the Leading Coefficient	5x^2+3x-6x^3+4x^2+2x^3-x+10	$5 x^{2} + 3 x - 6 x^{3} + 4 x^{2} + 2 x^{3} - x + 10$
128178	Write in Standard Form	4x^2-24x+4y^2+72y=76	$4 x^{2} - 24 x + 4 y^{2} + 72 y = 76$
128179	Find the Degree	cos(x)=1/2	$\cos (x) = \frac{1}{2}$
128180	Find the Inverse	{(3,4),(4,3),(2,7),(5,3)}	${(3, 4), (4, 3), (2, 7), (5, 3)}$
128181	Find Reduced Row Echelon Form	[[8,-3,15],[0,10,-1]]	$[\begin{array}{c} 8 & - 3 & 15 \\ 0 & 10 & - 1 \end{array}]$
128182	Transpose	[[0,-2,3],[-2,1,5],[3,5,-4]]	$[\begin{array}{c} 0 & - 2 & 3 \\ - 2 & 1 & 5 \\ 3 & 5 & - 4 \end{array}]$
128183	Find the Slope and y-intercept	f(x)=5x-6	$f (x) = 5 x - 6$
128184	Find the Slope and y-intercept	f(x)=4x+3	$f (x) = 4 x + 3$
128185	Find the Remainder	x^2-2x+5 , x-4	$x^{2} - 2 x + 5$ , $x - 4$
128186	Determine the Possible Number of Real Roots	p(x)=2x^4+5x^3-2x^2-7x-6	$p (x) = 2 x^{4} + 5 x^{3} - 2 x^{2} - 7 x - 6$
128187	Determine the Possible Number of Real Roots	f(x)=5x^3-7x^2-45x+63	$f (x) = 5 x^{3} - 7 x^{2} - 45 x + 63$
128188	Convert from Interval to Inequality	[0,2pi)	$[0, 2 π)$
128189	Round to the Nearest Ten	398.2235	$398.2235$
128190	Subtract the Expressions	x^2+5x , x-6	$x^{2} + 5 x$ , $x - 6$
128191	Find the Maximum Number of Real Roots	f(x)=5x^3-2	$f (x) = 5 x^{3} - 2$
128192	Determine the Possible Number of Real Roots	x^3+14x^2+61x+84	$x^{3} + 14 x^{2} + 61 x + 84$
128193	Write as an Equation	g(x)=(1/4)^x	$g (x) = {(\frac{1}{4})}^{x}$
128194	Write as an Equation	(-2,3)	$(- 2, 3)$
128195	Find the Set Complement A \ B	A=(0,8,9) , B=(0,5,9)	$A = (0, 8, 9)$ , $B = (0, 5, 9)$
128196	Write as a Vector Equality	x+y=-2 , 53x-8y=0	$x + y = - 2$ , $53 x - 8 y = 0$
128197	Find the Difference of the Two Functions	f(x)=5x-1 , g(x)=2x+1	$f (x) = 5 x - 1$ , $g (x) = 2 x + 1$
128198	Find the Difference of the Two Functions	f(x)=x^4+x^3-11x^2-5x+30 , g(x)=2x-2	$f (x) = x^{4} + x^{3} - 11 x^{2} - 5 x + 30$ , $g (x) = 2 x - 2$
128199	Find the Intersection of the Sets	{0,5,8} intersect {4,6,8,10}	${0, 5, 8} \cap {4, 6, 8, 10}$
128200	Identify the Progression	1 , 3 , 9 , 27	$1$ , $3$ , $9$ , $27$