Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
128301	Find the Intersection of the Functions	f(x)=50 , 0(0.8)^x	$f (x) = 50$ , $0 {(0.8)}^{x}$
128302	Determine if @POINT is a Solution	f(x)>0	$f (x) > 0$
128303	Divide Using Long Division	8640÷180	$8640 \div 180$
128304	Find Where Increasing/Decreasing Using Derivatives	xe^(-x)	$x e^{- x}$
128305	Find the Parabola with Vertex (0,0) and Directrix x=-2	(0,0) x=-2	$(0, 0)$ $x = - 2$
128306	Convert to Set Notation	-12<x<7	$- 12 < x < 7$
128307	Determine if A is a Subset of B	A=(1,2,3) , B=(6,7,8,9)	$A = (1, 2, 3)$ , $B = (6, 7, 8, 9)$
128308	Find the Remainder	5x^6-3x^3+8 ; x+1	$5 x^{6} - 3 x^{3} + 8$ ; $x + 1$
128309	Find the Product	f(x)=6x+2 , g(x)=4x+6	$f (x) = 6 x + 2$ , $g (x) = 4 x + 6$
128310	Find the Sum of the Infinite Geometric Series	2 , 8 , 32 , 128	$2$ , $8$ , $32$ , $128$
128311	Arrange in Order	0.13 , 0.04 , 0.17 , 0.37 , 0.22	$0.13$ , $0.04$ , $0.17$ , $0.37$ , $0.22$
128312	Simplify	4(3,5)-2(7,-2)	$4 (3, 5) - 2 (7, - 2)$
128313	Find the Dimensions	[[8,-3,15],[0,10,-1]]	$[\begin{array}{c} 8 & - 3 & 15 \\ 0 & 10 & - 1 \end{array}]$
128314	Find @FORMULA	f(x)=3x^2+5	$f (x) = 3 x^{2} + 5$
128315	Find @FORMULA	f(x)=x^2+4x-5	$f (x) = x^{2} + 4 x - 5$
128316	Find the Degree	cos(x)=-( square root of 3)/2	$\cos (x) = - \frac{\sqrt{3}}{2}$
128317	Find the Local Maxima and Minima	y=x^4+16x^3+94x^2+240x+225	$y = x^{4} + 16 x^{3} + 94 x^{2} + 240 x + 225$
128318	Find the Domain	f(x)=-4x if x<=0; 4x+1 if x>0	$f (x) = {\begin{cases} - 4 x & x \leq 0 \\ 4 x + 1 & x > 0 \end{cases}$
128319	Find the Local Maxima and Minima	y=-x^6-6x^5+50x^3+45x^2-108x-108	$y = - x^{6} - 6 x^{5} + 50 x^{3} + 45 x^{2} - 108 x - 108$
128320	Identify the Progression	1 , -8 , 27 , -64 , 125	$1$ , $- 8$ , $27$ , $- 64$ , $125$
128321	Identify the Progression	16 , 4 , 1 , 1/4	$16$ , $4$ , $1$ , $\frac{1}{4}$
128322	Identify the Progression	2 , 12 , 72 , 432	$2$ , $12$ , $72$ , $432$
128323	Identify the Progression	1 , 2 , 4 , 8	$1$ , $2$ , $4$ , $8$
128324	Identify the Progression	1/6 , 2/7 , 3/8 , 4/9 , 5/10	$\frac{1}{6}$ , $\frac{2}{7}$ , $\frac{3}{8}$ , $\frac{4}{9}$ , $\frac{5}{10}$
128325	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^5-4x^3	$f (x) = x^{5} - 4 x^{3}$
128326	Determine if the Expression is a Factor Using Synthetic Division	x^3+9x^2+8x-60 ; x+6	$x^{3} + 9 x^{2} + 8 x - 60$ ; $x + 6$
128327	Solve Using an Augmented Matrix	x+y+z=1x-y+3z=-1x+y-z=1	$x + y + z = 1 x - y + 3 z = - 1 x + y - z = 1$
128328	Find the Intersection of the Functions	P(A)=1/5 , P(B)=2/7	$P (A) = \frac{1}{5}$ , $P (B) = \frac{2}{7}$
128329	Determine if Proper or Improper	g(x)=(x^3-12x+3)/(x^2+x-21x^5)	$g (x) = \frac{x^{3} - 12 x + 3}{x^{2} + x - 21 x^{5}}$
128330	Find the Intersection of the Sets	{5,7,9,11} intersect {6,8,10,12,14}	${5, 7, 9, 11} \cap {6, 8, 10, 12, 14}$
128331	Solve in Terms of the Arbitrary Variable y	2x-3y=3-4x+6y=-6	$2 x - 3 y = 3 - 4 x + 6 y = - 6$
128332	Use the Table to Find the z-Score	0.01	$0.01$
128333	Find the Upper and Lower Bounds	f(x)=5x^4+5x^3-x^2-20x-20	$f (x) = 5 x^{4} + 5 x^{3} - x^{2} - 20 x - 20$
128334	Round to the Nearest Whole Number	301.44	$301.44$
128335	Round to the Nearest Whole Number	113.04	$113.04$
128336	Find the Equation with Real Coefficients	3 , 2i , -2i	$3$ , $2 i$ , $- 2 i$
128337	Find the Equation with Real Coefficients	x=2 , x=-2 , x=1	$x = 2$ , $x = - 2$ , $x = 1$
128338	Find the Equation with Real Coefficients	-2 , 3 , -8	$- 2$ , $3$ , $- 8$
128339	Find the Sum of the Infinite Geometric Series	4 , 2 , 1 , 1/2	$4$ , $2$ , $1$ , $\frac{1}{2}$
128340	Write as a Set of Linear Factors	f(x)=2x^3-3x^2-5x+6 ; k=1	$f (x) = 2 x^{3} - 3 x^{2} - 5 x + 6$ ; $k = 1$
128341	Write as a Set of Linear Factors	g(x)=x^4-6x^3+13x^2-24x+36	$g (x) = x^{4} - 6 x^{3} + 13 x^{2} - 24 x + 36$
128342	Find the Inverse	{(18,1),(-19,-7),(16,6)}	${(18, 1), (- 19, - 7), (16, 6)}$
128343	Find the Inverse	(12,-10) , (-4,-10) , (-20,-3)	$(12, - 10)$ , $(- 4, - 10)$ , $(- 20, - 3)$
128344	Convert to Set Notation	-5<=x<-2	$- 5 \leq x < - 2$
128345	Convert to Set Notation	x^4-122x^2+121>=0	$x^{4} - 122 x^{2} + 121 \geq 0$
128346	Identify the Common Factors	((2x+1)(x+3))/(x-4)*((x+4)(x-4))/((x+3)(x+5))	$\frac{(2 x + 1) (x + 3)}{x - 4} \cdot \frac{(x + 4) (x - 4)}{(x + 3) (x + 5)}$
128347	Find the Maximum Number of Real Roots	p(c)=-15c(c-8)	$p (c) = - 15 c (c - 8)$
128348	Evaluate the Integral	integral of (x^3-8)^7*3x^2 with respect to x	$\int {(x^{3} - 8)}^{7} \cdot 3 x^{2} d x$
128349	Write as a Set of Linear Factors	x^3+5x^2-9x-45	$x^{3} + 5 x^{2} - 9 x - 45$
128350	Round to the Nearest Thousand	4358	$4358$
128351	Find the Factors Using the Factor Theorem	2x^2-24x+54 , x-3	$2 x^{2} - 24 x + 54$ , $x - 3$
128352	Arrange in Order	5/6 , 7/8 , 6/7 , 0.95	$\frac{5}{6}$ , $\frac{7}{8}$ , $\frac{6}{7}$ , $0.95$
128353	Find the Null Space	[[2,8],[3,6]]	$[\begin{array}{c} 2 & 8 \\ 3 & 6 \end{array}]$
128354	Find the Null Space	[[3,6],[8,9]]	$[\begin{array}{c} 3 & 6 \\ 8 & 9 \end{array}]$
128355	Arrange in Order	1 1/4 , 5/8 , 3/4 , 1/2 , 1 1/2 , 1 3/4	$1 \frac{1}{4}$ , $\frac{5}{8}$ , $\frac{3}{4}$ , $\frac{1}{2}$ , $1 \frac{1}{2}$ , $1 \frac{3}{4}$
128356	Write as a Set of Linear Factors	8^x=256	$8^{x} = 256$
128357	Write as a Set of Linear Factors	x^3-2x^2-9x+18=0	$x^{3} - 2 x^{2} - 9 x + 18 = 0$
128358	Write as a Set of Linear Factors	e^(2x)-4e^x+3=0	$e^{2 x} - 4 e^{x} + 3 = 0$
128359	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-3,-6) , (0,0)	$(- 3, - 6) (0, 0)$
128360	Solve Using an Inverse Matrix	3x-5y=6-4x+6y=-4	$3 x - 5 y = 6 - 4 x + 6 y = - 4$
128361	Solve Using an Inverse Matrix	2x+8y+6z=204x+2y-2z=-23x-y+z=11	$2 x + 8 y + 6 z = 204 x + 2 y - 2 z = - 23 x - y + z = 11$
128362	Multiply the Expressions	x3/7y36/7	$x \frac{3}{7} y \frac{36}{7}$
128363	Reorder in Ascending Order	x^3-x^2+7x	$x^{3} - x^{2} + 7 x$
128364	Write as a Set of Linear Factors	2^x=256	$2^{x} = 256$
128365	Find the Cofactor Matrix	[[1,2,3],[-3,0,1],[5,3,3]]	$[\begin{array}{c} 1 & 2 & 3 \\ - 3 & 0 & 1 \\ 5 & 3 & 3 \end{array}]$
128366	Write as a Set of Linear Factors	x^3+216	$x^{3} + 216$
128367	Write as a Set of Linear Factors	x^3+9x^2+20x+6	$x^{3} + 9 x^{2} + 20 x + 6$
128368	Find the Maximum Number of Real Roots	f(x)=4x^4-2x^3-8x^2+5x+2	$f (x) = 4 x^{4} - 2 x^{3} - 8 x^{2} + 5 x + 2$
128369	Find the Inverse	(-2,4) , (2,-4) , (8,-2) , (-8,2)	$(- 2, 4)$ , $(2, - 4)$ , $(8, - 2)$ , $(- 8, 2)$
128370	Divide Using Long Division	4842÷93	$4842 \div 93$
128371	Solve in Terms of the Arbitrary Variable z	z=4.1i+85	$z = 4.1 i + 85$
128372	Solve in Terms of the Arbitrary Variable z	z=6.2+37i	$z = 6.2 + 37 i$
128373	Find the Second Derivative	e^(2x)	$e^{2 x}$
128374	Find the Intersection of the Sets	{2,4,6,8} intersect {1,3,5,7,9}	${2, 4, 6, 8} \cap {1, 3, 5, 7, 9}$
128375	Determine if Perpendicular	y=7x-1 , y=1/7x	$y = 7 x - 1$ , $y = \frac{1}{7} x$
128376	Find the Length	3i-j	$3 i - j$
128377	Find the Length	6i+8j	$6 i + 8 j$
128378	Determine if Perpendicular	x-3y=-3y=3x-9	$x - 3 y = - 3 y = 3 x - 9$
128379	Identify the Progression	1 , 1/4 , 1/9 , 1/16 , 1/25	$1$ , $\frac{1}{4}$ , $\frac{1}{9}$ , $\frac{1}{16}$ , $\frac{1}{25}$
128380	Identify the Progression	9 , 3 , 1 , 1/3	$9$ , $3$ , $1$ , $\frac{1}{3}$
128381	Find the Quotient of the Two Functions	p(x)=x^3-125 d(x)=x+5	$p (x) = x^{3} - 125$ $d (x) = x + 5$
128382	Write in Standard Form	x^2+4x+8y+36=0	$x^{2} + 4 x + 8 y + 36 = 0$
128383	Find the Equation with a Point and y-intercept	(0,-3)	$(0, - 3)$
128384	Find the Equation with a Point and y-intercept	(0,-4)	$(0, - 4)$
128385	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-5,-10) , (0,0)	$(- 5, - 10)$ , $(0, 0)$
128386	Simplify	(negative infinity,2) union (2,infinity)	$(- \infty, 2) \cup (2, \infty)$
128387	Simplify	(negative infinity,-4) union (-4,infinity)	$(- \infty, - 4) \cup (- 4, \infty)$
128388	Identify the Common Factors	14xy^4	$14 x y^{4}$
128389	Identify the Common Factors	x^2-5x+6	$x^{2} - 5 x + 6$
128390	Write as a Set of Linear Factors	f(x)=x^5-3x^4+5x^3-5x^2-6x+8	$f (x) = x^{5} - 3 x^{4} + 5 x^{3} - 5 x^{2} - 6 x + 8$
128391	Write as a Set of Linear Factors	f(x)=x^3-7x+6	$f (x) = x^{3} - 7 x + 6$
128392	Evaluate Using Synthetic Division	p(x)=x^4+3x^3-6x^2-10x+8 ; a=2	$p (x) = x^{4} + 3 x^{3} - 6 x^{2} - 10 x + 8$ ; $a = 2$
128393	Evaluate Using Synthetic Division	P(x)=x^4+x^3-5x^2+9x-6 ; a=3	$P (x) = x^{4} + x^{3} - 5 x^{2} + 9 x - 6$ ; $a = 3$
128394	Find the Relation Inverse	f=((1,0),(7,4),(5,2),(8,9))	$f = ((1, 0), (7, 4), (5, 2), (8, 9))$
128395	Write as a Set of Linear Factors	f(x)=2x^3+3x^2+18x+27	$f (x) = 2 x^{3} + 3 x^{2} + 18 x + 27$
128396	Use the Table to Find the z-Score	0.025	$0.025$
128397	Find the Local Maxima and Minima	y=x^3+4x^2-3x+4	$y = x^{3} + 4 x^{2} - 3 x + 4$
128398	Find the Local Maxima and Minima	y=-x^4-20x^3-148x^2-480x-576	$y = - x^{4} - 20 x^{3} - 148 x^{2} - 480 x - 576$
128399	Find the Local Maxima and Minima	y=-x^4-24x^3-214x^2-840x-1225	$y = - x^{4} - 24 x^{3} - 214 x^{2} - 840 x - 1225$
128400	Find the Domain	f(x)=-3x if x<=0; 3x+3 if x>0	$f (x) = {\begin{cases} - 3 x & x \leq 0 \\ 3 x + 3 & x > 0 \end{cases}$