Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
128301	Find the Degree	cos(x)=-( square root of 3)/2	$\cos (x) = - \frac{\sqrt{3}}{2}$
128302	Find the Local Maxima and Minima	y=x^4+16x^3+94x^2+240x+225	$y = x^{4} + 16 x^{3} + 94 x^{2} + 240 x + 225$
128303	Find the Domain	f(x)=-4x if x<=0; 4x+1 if x>0	$f (x) = {\begin{cases} - 4 x & x \leq 0 \\ 4 x + 1 & x > 0 \end{cases}$
128304	Find the Local Maxima and Minima	y=-x^6-6x^5+50x^3+45x^2-108x-108	$y = - x^{6} - 6 x^{5} + 50 x^{3} + 45 x^{2} - 108 x - 108$
128305	Identify the Progression	1 , -8 , 27 , -64 , 125	$1$ , $- 8$ , $27$ , $- 64$ , $125$
128306	Identify the Progression	16 , 4 , 1 , 1/4	$16$ , $4$ , $1$ , $\frac{1}{4}$
128307	Identify the Progression	2 , 12 , 72 , 432	$2$ , $12$ , $72$ , $432$
128308	Identify the Progression	1 , 2 , 4 , 8	$1$ , $2$ , $4$ , $8$
128309	Identify the Progression	1/6 , 2/7 , 3/8 , 4/9 , 5/10	$\frac{1}{6}$ , $\frac{2}{7}$ , $\frac{3}{8}$ , $\frac{4}{9}$ , $\frac{5}{10}$
128310	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^5-4x^3	$f (x) = x^{5} - 4 x^{3}$
128311	Determine if the Expression is a Factor Using Synthetic Division	x^3+9x^2+8x-60 ; x+6	$x^{3} + 9 x^{2} + 8 x - 60$ ; $x + 6$
128312	Solve Using an Augmented Matrix	x+y+z=1x-y+3z=-1x+y-z=1	$x + y + z = 1 x - y + 3 z = - 1 x + y - z = 1$
128313	Find the Intersection of the Functions	P(A)=1/5 , P(B)=2/7	$P (A) = \frac{1}{5}$ , $P (B) = \frac{2}{7}$
128314	Determine if Proper or Improper	g(x)=(x^3-12x+3)/(x^2+x-21x^5)	$g (x) = \frac{x^{3} - 12 x + 3}{x^{2} + x - 21 x^{5}}$
128315	Find the Intersection of the Sets	{5,7,9,11} intersect {6,8,10,12,14}	${5, 7, 9, 11} \cap {6, 8, 10, 12, 14}$
128316	Solve in Terms of the Arbitrary Variable y	2x-3y=3-4x+6y=-6	$2 x - 3 y = 3 - 4 x + 6 y = - 6$
128317	Use the Table to Find the z-Score	0.01	$0.01$
128318	Find the Upper and Lower Bounds	f(x)=5x^4+5x^3-x^2-20x-20	$f (x) = 5 x^{4} + 5 x^{3} - x^{2} - 20 x - 20$
128319	Round to the Nearest Whole Number	301.44	$301.44$
128320	Round to the Nearest Whole Number	113.04	$113.04$
128321	Find the Equation with Real Coefficients	3 , 2i , -2i	$3$ , $2 i$ , $- 2 i$
128322	Find the Equation with Real Coefficients	x=2 , x=-2 , x=1	$x = 2$ , $x = - 2$ , $x = 1$
128323	Find the Equation with Real Coefficients	-2 , 3 , -8	$- 2$ , $3$ , $- 8$
128324	Find the Sum of the Infinite Geometric Series	4 , 2 , 1 , 1/2	$4$ , $2$ , $1$ , $\frac{1}{2}$
128325	Write as a Set of Linear Factors	f(x)=2x^3-3x^2-5x+6 ; k=1	$f (x) = 2 x^{3} - 3 x^{2} - 5 x + 6$ ; $k = 1$
128326	Write as a Set of Linear Factors	g(x)=x^4-6x^3+13x^2-24x+36	$g (x) = x^{4} - 6 x^{3} + 13 x^{2} - 24 x + 36$
128327	Find the Inverse	{(18,1),(-19,-7),(16,6)}	${(18, 1), (- 19, - 7), (16, 6)}$
128328	Find the Inverse	(12,-10) , (-4,-10) , (-20,-3)	$(12, - 10)$ , $(- 4, - 10)$ , $(- 20, - 3)$
128329	Convert to Set Notation	-5<=x<-2	$- 5 \leq x < - 2$
128330	Convert to Set Notation	x^4-122x^2+121>=0	$x^{4} - 122 x^{2} + 121 \geq 0$
128331	Identify the Common Factors	((2x+1)(x+3))/(x-4)*((x+4)(x-4))/((x+3)(x+5))	$\frac{(2 x + 1) (x + 3)}{x - 4} \cdot \frac{(x + 4) (x - 4)}{(x + 3) (x + 5)}$
128332	Find the Maximum Number of Real Roots	p(c)=-15c(c-8)	$p (c) = - 15 c (c - 8)$
128333	Evaluate the Integral	integral of (x^3-8)^7*3x^2 with respect to x	$\int {(x^{3} - 8)}^{7} \cdot 3 x^{2} d x$
128334	Write as a Set of Linear Factors	x^3+5x^2-9x-45	$x^{3} + 5 x^{2} - 9 x - 45$
128335	Round to the Nearest Thousand	4358	$4358$
128336	Find the Factors Using the Factor Theorem	2x^2-24x+54 , x-3	$2 x^{2} - 24 x + 54$ , $x - 3$
128337	Arrange in Order	5/6 , 7/8 , 6/7 , 0.95	$\frac{5}{6}$ , $\frac{7}{8}$ , $\frac{6}{7}$ , $0.95$
128338	Find the Null Space	[[2,8],[3,6]]	$[\begin{array}{c} 2 & 8 \\ 3 & 6 \end{array}]$
128339	Find the Null Space	[[3,6],[8,9]]	$[\begin{array}{c} 3 & 6 \\ 8 & 9 \end{array}]$
128340	Arrange in Order	1 1/4 , 5/8 , 3/4 , 1/2 , 1 1/2 , 1 3/4	$1 \frac{1}{4}$ , $\frac{5}{8}$ , $\frac{3}{4}$ , $\frac{1}{2}$ , $1 \frac{1}{2}$ , $1 \frac{3}{4}$
128341	Write as a Set of Linear Factors	8^x=256	$8^{x} = 256$
128342	Write as a Set of Linear Factors	x^3-2x^2-9x+18=0	$x^{3} - 2 x^{2} - 9 x + 18 = 0$
128343	Write as a Set of Linear Factors	e^(2x)-4e^x+3=0	$e^{2 x} - 4 e^{x} + 3 = 0$
128344	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-3,-6) , (0,0)	$(- 3, - 6) (0, 0)$
128345	Solve Using an Inverse Matrix	3x-5y=6-4x+6y=-4	$3 x - 5 y = 6 - 4 x + 6 y = - 4$
128346	Solve Using an Inverse Matrix	2x+8y+6z=204x+2y-2z=-23x-y+z=11	$2 x + 8 y + 6 z = 204 x + 2 y - 2 z = - 23 x - y + z = 11$
128347	Multiply the Expressions	x3/7y36/7	$x \frac{3}{7} y \frac{36}{7}$
128348	Reorder in Ascending Order	x^3-x^2+7x	$x^{3} - x^{2} + 7 x$
128349	Write as a Set of Linear Factors	2^x=256	$2^{x} = 256$
128350	Find the Cofactor Matrix	[[1,2,3],[-3,0,1],[5,3,3]]	$[\begin{array}{c} 1 & 2 & 3 \\ - 3 & 0 & 1 \\ 5 & 3 & 3 \end{array}]$
128351	Write as a Set of Linear Factors	x^3+216	$x^{3} + 216$
128352	Write as a Set of Linear Factors	x^3+9x^2+20x+6	$x^{3} + 9 x^{2} + 20 x + 6$
128353	Find the Maximum Number of Real Roots	f(x)=4x^4-2x^3-8x^2+5x+2	$f (x) = 4 x^{4} - 2 x^{3} - 8 x^{2} + 5 x + 2$
128354	Find the Inverse	(-2,4) , (2,-4) , (8,-2) , (-8,2)	$(- 2, 4)$ , $(2, - 4)$ , $(8, - 2)$ , $(- 8, 2)$
128355	Divide Using Long Division	4842÷93	$4842 \div 93$
128356	Solve in Terms of the Arbitrary Variable z	z=4.1i+85	$z = 4.1 i + 85$
128357	Solve in Terms of the Arbitrary Variable z	z=6.2+37i	$z = 6.2 + 37 i$
128358	Find the Second Derivative	e^(2x)	$e^{2 x}$
128359	Find the Intersection of the Sets	{2,4,6,8} intersect {1,3,5,7,9}	${2, 4, 6, 8} \cap {1, 3, 5, 7, 9}$
128360	Determine if Perpendicular	y=7x-1 , y=1/7x	$y = 7 x - 1$ , $y = \frac{1}{7} x$
128361	Find the Length	3i-j	$3 i - j$
128362	Find the Length	6i+8j	$6 i + 8 j$
128363	Determine if Perpendicular	x-3y=-3y=3x-9	$x - 3 y = - 3 y = 3 x - 9$
128364	Identify the Progression	1 , 1/4 , 1/9 , 1/16 , 1/25	$1$ , $\frac{1}{4}$ , $\frac{1}{9}$ , $\frac{1}{16}$ , $\frac{1}{25}$
128365	Identify the Progression	9 , 3 , 1 , 1/3	$9$ , $3$ , $1$ , $\frac{1}{3}$
128366	Find the Quotient of the Two Functions	p(x)=x^3-125 d(x)=x+5	$p (x) = x^{3} - 125$ $d (x) = x + 5$
128367	Write in Standard Form	x^2+4x+8y+36=0	$x^{2} + 4 x + 8 y + 36 = 0$
128368	Find the Equation with a Point and y-intercept	(0,-3)	$(0, - 3)$
128369	Find the Equation with a Point and y-intercept	(0,-4)	$(0, - 4)$
128370	Find the Slope of the Perpendicular Line to the Line Through the Two Points	(-5,-10) , (0,0)	$(- 5, - 10)$ , $(0, 0)$
128371	Simplify	(negative infinity,2) union (2,infinity)	$(- \infty, 2) \cup (2, \infty)$
128372	Simplify	(negative infinity,-4) union (-4,infinity)	$(- \infty, - 4) \cup (- 4, \infty)$
128373	Identify the Common Factors	14xy^4	$14 x y^{4}$
128374	Identify the Common Factors	x^2-5x+6	$x^{2} - 5 x + 6$
128375	Write as a Set of Linear Factors	f(x)=x^5-3x^4+5x^3-5x^2-6x+8	$f (x) = x^{5} - 3 x^{4} + 5 x^{3} - 5 x^{2} - 6 x + 8$
128376	Write as a Set of Linear Factors	f(x)=x^3-7x+6	$f (x) = x^{3} - 7 x + 6$
128377	Evaluate Using Synthetic Division	p(x)=x^4+3x^3-6x^2-10x+8 ; a=2	$p (x) = x^{4} + 3 x^{3} - 6 x^{2} - 10 x + 8$ ; $a = 2$
128378	Evaluate Using Synthetic Division	P(x)=x^4+x^3-5x^2+9x-6 ; a=3	$P (x) = x^{4} + x^{3} - 5 x^{2} + 9 x - 6$ ; $a = 3$
128379	Find the Relation Inverse	f=((1,0),(7,4),(5,2),(8,9))	$f = ((1, 0), (7, 4), (5, 2), (8, 9))$
128380	Write as a Set of Linear Factors	f(x)=2x^3+3x^2+18x+27	$f (x) = 2 x^{3} + 3 x^{2} + 18 x + 27$
128381	Use the Table to Find the z-Score	0.025	$0.025$
128382	Find the Local Maxima and Minima	y=x^3+4x^2-3x+4	$y = x^{3} + 4 x^{2} - 3 x + 4$
128383	Find the Local Maxima and Minima	y=-x^4-20x^3-148x^2-480x-576	$y = - x^{4} - 20 x^{3} - 148 x^{2} - 480 x - 576$
128384	Find the Local Maxima and Minima	y=-x^4-24x^3-214x^2-840x-1225	$y = - x^{4} - 24 x^{3} - 214 x^{2} - 840 x - 1225$
128385	Find the Domain	f(x)=-3x if x<=0; 3x+3 if x>0	$f (x) = {\begin{cases} - 3 x & x \leq 0 \\ 3 x + 3 & x > 0 \end{cases}$
128386	Find the Sum of the First 6 Terms	2 , 8 , 32 , 128	$2$ , $8$ , $32$ , $128$
128387	Find the Intersection of the Inequalities	y<3y>=-x+5	$y < 3 y \geq - x + 5$
128388	Find @FORMULA	f(x)=3x+5	$f (x) = 3 x + 5$
128389	Find @FORMULA	f(x)=3x-4	$f (x) = 3 x - 4$
128390	Find the Constant of Variation	y=6 x=8	$y = 6$ $x = 8$
128391	Find the Sum of the Series	4 , 16 , 64 , 256 , 1024	$4$ , $16$ , $64$ , $256$ , $1024$
128392	Find the Upper and Lower Bounds	f(x)=3x^4-5x^3-5x^2+5x+2	$f (x) = 3 x^{4} - 5 x^{3} - 5 x^{2} + 5 x + 2$
128393	Solve Using a Matrix by Row Operations	1/5x+2/5y+1/5z=6x-1/2y+1/2z=-9 2/5x-7/10y-1/10z=-7	$\frac{1}{5} x + \frac{2}{5} y + \frac{1}{5} z = 6 x - \frac{1}{2} y + \frac{1}{2} z = - 9 \frac{2}{5} x - \frac{7}{10} y - \frac{1}{10} z = - 7$
128394	Determine the Possible Number of Real Roots	x^4+7x^3+3x^2-63x-108	$x^{4} + 7 x^{3} + 3 x^{2} - 63 x - 108$
128395	Find the Adjoint	[[9,8,7],[4,5,6],[1,2,3]]	$[\begin{array}{c} 9 & 8 & 7 \\ 4 & 5 & 6 \\ 1 & 2 & 3 \end{array}]$
128396	Solve by Linear Combination	d-2e=-23d+2e=26	$d - 2 e = - 23 d + 2 e = 26$
128397	Solve by Linear Combination	p+q=0q-p=8	$p + q = 0 q - p = 8$
128398	Round to the Nearest Whole Number	226.08	$226.08$
128399	Round to the Nearest Whole Number	251.2	$251.2$
128400	Round to the Nearest Whole Number	4.5	$4.5$