Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
136501	Expand Using Sum/Difference Formulas	sin(6x)sin(2x)	$\sin (6 x) \sin (2 x)$
136502	Expand Using Sum/Difference Formulas	tan(-195)	$\tan (- 195)$
136503	Find the Maximum Number of Real Roots	3x^4-5x^3-4x^2+5x-2	$3 x^{4} - 5 x^{3} - 4 x^{2} + 5 x - 2$
136504	Find the Maximum Number of Real Roots	3x^4-x^2+1	$3 x^{4} - x^{2} + 1$
136505	Determine if the Expression is a Factor Using Synthetic Division	x^3+9x^2+14x-24 ; x+6	$x^{3} + 9 x^{2} + 14 x - 24$ ; $x + 6$
136506	Determine if the Expression is a Factor Using Synthetic Division	x^3+8x^2+11x-20 , x+5	$x^{3} + 8 x^{2} + 11 x - 20$ , $x + 5$
136507	Find the Upper or Third Quartile	90 , 85 , 88 , 95 , 100 , 77 , 85 , 100 , 97 , 80 , 90	$90$ , $85$ , $88$ , $95$ , $100$ , $77$ , $85$ , $100$ , $97$ , $80$ , $90$
136508	Find the Upper or Third Quartile	43 , 48 , 52 , 61 , 74 , 81 , 40 , 42 , 56 , 77 , 81 , 43	$43$ , $48$ , $52$ , $61$ , $74$ , $81$ , $40$ , $42$ , $56$ , $77$ , $81$ , $43$
136509	Find the Upper or Third Quartile	2 , 6 , 10 , 20 , 24 , 30 , 34 , 40	$2$ , $6$ , $10$ , $20$ , $24$ , $30$ , $34$ , $40$
136510	Find the Inverse	f(x)=x^2-5	$f (x) = x^{2} - 5$
136511	Graph the Interval	(-3,2)	$(- 3, 2)$
136512	Graph the Interval	(5,infinity)	$(5, \infty)$
136513	Graph the Interval	[-5,5]	$[- 5, 5]$
136514	Graph the Interval	[2,4]	$[2, 4]$
136515	Round to the Nearest Whole Number	1115.485	$1115.485$
136516	Round to the Nearest Whole Number	1.2	$1.2$
136517	Round to the Nearest Whole Number	0.5	$0.5$
136518	Determine if the Relation is a Function	{(-4,-4.8),(-3,-8.2),(-2,-9.1),(-1,-8.1),(0,-4.7),(1,0.3)}	${(- 4, - 4.8), (- 3, - 8.2), (- 2, - 9.1), (- 1, - 8.1), (0, - 4.7), (1, 0.3)}$
136519	Determine if the Relation is a Function	{(3,-6),(3,-1),(3,2),(3,3)}	${(3, - 6), (3, - 1), (3, 2), (3, 3)}$
136520	Determine if the Relation is a Function	(12,-10) , (-4,-10) , (-20,-3)	$(12, - 10)$ , $(- 4, - 10)$ , $(- 20, - 3)$
136521	Find g(f(x))	f(x)=-9x^2-7x+12g(x)=3x^2-4x-15	$f (x) = - 9 x^{2} - 7 x + 12 g (x) = 3 x^{2} - 4 x - 15$
136522	Find h(g(x))	g(x)=(3x-5)/(x+1)h(y) = square root of 1-3y	$g (x) = \frac{3 x - 5}{x + 1} h (y) = \sqrt{1 - 3 y}$
136523	Determine if the Relation is a Function	(0,0) , (1,7) , (2,28) , (3,63) , (4,112)	$(0, 0)$ , $(1, 7)$ , $(2, 28)$ , $(3, 63)$ , $(4, 112)$
136524	Find p(p(C))	p(C)=2/5 , p(D)=3/5	$p (C) = \frac{2}{5}$ , $p (D) = \frac{3}{5}$
136525	Find f(h(x))	f(x)=2x^3+8h(x) = cube root of 12-5x	$f (x) = 2 x^{3} + 8 h (x) = \sqrt[3]{12 - 5 x}$
136526	Find f(h(x))	f(x)=6-1/2xh(x)=4(x-3)^2	$f (x) = 6 - \frac{1}{2} x h (x) = 4 {(x - 3)}^{2}$
136527	Find g(f(x))	f(x)=4x^2-4 , g(x)=2x+1	$f (x) = 4 x^{2} - 4$ , $g (x) = 2 x + 1$
136528	Find f(g(x))	f(x)=4x^2-4 , g(x)=2x+1	$f (x) = 4 x^{2} - 4$ , $g (x) = 2 x + 1$
136529	Find f(g(x))	f(x)=x^5 g(x)=-2-3x^2	$f (x) = x^{5}$ $g (x) = - 2 - 3 x^{2}$
136530	Find f(g(x))	f(x)=x^2+10 ; g(x) = square root of x-3	$f (x) = x^{2} + 10$ ; $g (x) = \sqrt{x - 3}$
136531	Find f(g(n))	f(n)=(-16+n)/4 , g(n)=4n+16	$f (n) = \frac{- 16 + n}{4}$ , $g (n) = 4 n + 16$
136532	Find the Derivative - d/dt	(50t^2)/(t^2+100)	$\frac{50 t^{2}}{t^{2} + 100}$
136533	Find the Derivative - d/dt	(e^(4t)+e^(-4t))/(e^(2t))	$\frac{e^{4 t} + e^{- 4 t}}{e^{2 t}}$
136534	Find the Derivative - d/dn	(1+1/n)^n	${(1 + \frac{1}{n})}^{n}$
136535	Find Where Undefined/Discontinuous	1/(x-5)-4/(x+7)=12/(x^2+2x-35)	$\frac{1}{x - 5} - \frac{4}{x + 7} = \frac{12}{x^{2} + 2 x - 35}$
136536	Round to the Nearest Whole Number	8.48	$8.48$
136537	Round to the Nearest Whole Number	2.4	$2.4$
136538	Round to the Nearest Whole Number	301.59	$301.59$
136539	Round to the Nearest Whole Number	6.7	$6.7$
136540	Round to the Nearest Whole Number	3.2	$3.2$
136541	Round to the Nearest Whole Number	1329.79	$1329.79$
136542	Round to the Nearest Whole Number	1.5	$1.5$
136543	Find Where Undefined/Discontinuous	1-5/(x-2)=-20/(x^2-4)	$1 - \frac{5}{x - 2} = - \frac{20}{x^{2} - 4}$
136544	Find Where Undefined/Discontinuous	y=((x-2)(2x+3))/((5x+4)(x-3))	$y = \frac{(x - 2) (2 x + 3)}{(5 x + 4) (x - 3)}$
136545	Find Where Undefined/Discontinuous	y=(x^2+5x+6)/(x^2-9)	$y = \frac{x^{2} + 5 x + 6}{x^{2} - 9}$
136546	Find Where Undefined/Discontinuous	y=(3x(x+2))/(x(x+2))	$y = \frac{3 x (x + 2)}{x (x + 2)}$
136547	Find the Third Derivative	f(x)=2x^3-7x+1	$f (x) = 2 x^{3} - 7 x + 1$
136548	Graph the Line Segment	(-6,0) , (-4,2) , (-3,3) , (2,8)	$(- 6, 0) (- 4, 2) (- 3, 3) (2, 8)$
136549	Solve Using a Matrix by Row Operations	2x+y+4z=165x-2y+2z=-1x+2y-3z=-9	$2 x + y + 4 z = 165 x - 2 y + 2 z = - 1 x + 2 y - 3 z = - 9$
136550	Find the Sum of the Series	1+8+27+64+125+216	$1 + 8 + 27 + 64 + 125 + 216$
136551	Find the Sum of the Series	3 , 12 , 48 , 192	$3$ , $12$ , $48$ , $192$
136552	Find the Sum of the Series	3 , 5 , 7 , 9	$3$ , $5$ , $7$ , $9$
136553	Find the Quotient of the Two Functions	P(x)=2x^3+4x^2-2x-1 , D(x)=x+3	$P (x) = 2 x^{3} + 4 x^{2} - 2 x - 1$ , $D (x) = x + 3$
136554	Identify the Polar Equation	rsin(theta)=3	$r \sin (θ) = 3$
136555	Identify the Polar Equation	r=2-2sin(theta)	$r = 2 - 2 \sin (θ)$
136556	Identify the Polar Equation	r=3+3cos(theta)	$r = 3 + 3 \cos (θ)$
136557	Identify the Polar Equation	r=1	$r = 1$
136558	Identify the Polar Equation	r=1/(1-cos(x))	$r = \frac{1}{1 - \cos (x)}$
136559	Identify the Polar Equation	r=2/(1+cos(theta))	$r = \frac{2}{1 + \cos (θ)}$
136560	Identify the Polar Equation	z=4.1i+85	$z = 4.1 i + 85$
136561	Identify the Polar Equation	z=1- square root of 3i	$z = 1 - \sqrt{3} i$
136562	Find the Relation Inverse	f=((1,0),(3,4),(5,2),(8,9))	$f = ((1, 0), (3, 4), (5, 2), (8, 9))$
136563	Find P(anb) for Independent Events a and b	p(a)=1/6 , p(b)=3/7	$p (a) = \frac{1}{6}$ , $p (b) = \frac{3}{7}$
136564	Write as a Set of Linear Factors	f(x)=5x^4-4x^3+44x^2-36x-9	$f (x) = 5 x^{4} - 4 x^{3} + 44 x^{2} - 36 x - 9$
136565	Find the Sum of the Infinite Geometric Series	125 , 25 , 5	$125$ , $25$ , $5$
136566	Find the Sum of the Infinite Geometric Series	32 , 16 , 8	$32$ , $16$ , $8$
136567	Find the Sum of the Infinite Geometric Series	4 , 12 , 36	$4$ , $12$ , $36$
136568	Find the Sum of the Infinite Geometric Series	5 , 10 , 20	$5$ , $10$ , $20$
136569	Find the Sum of the Infinite Geometric Series	5 , 20 , 80	$5$ , $20$ , $80$
136570	Find the Sum of the Infinite Geometric Series	6 , 12 , 24 , 48	$6$ , $12$ , $24$ , $48$
136571	Find the Sum of the Infinite Geometric Series	7 , -14 , 28 , -56	$7$ , $- 14$ , $28$ , $- 56$
136572	Find the Sum of the Infinite Geometric Series	1/3 , 3/15 , 9/75 , 27/375	$\frac{1}{3}$ , $\frac{3}{15}$ , $\frac{9}{75}$ , $\frac{27}{375}$
136573	Find the Sum of the Infinite Geometric Series	1/4 , 1/16 , 1/64	$\frac{1}{4}$ , $\frac{1}{16}$ , $\frac{1}{64}$
136574	Find the Sum of the Infinite Geometric Series	1/7 , 1/49 , 1/343	$\frac{1}{7}$ , $\frac{1}{49}$ , $\frac{1}{343}$
136575	Find the Midpoint	(14,0) , (-7,5)	$(14, 0) (- 7, 5)$
136576	Find the Midpoint	(-1,-6) , (1,5)	$(- 1, - 6)$ , $(1, 5)$
136577	Find the Midpoint	(-1,1) , (-5,-3)	$(- 1, 1) (- 5, - 3)$
136578	Find the Midpoint	(-1,-3) , (-5,8)	$(- 1, - 3) (- 5, 8)$
136579	Find the Midpoint	(1/2,-5/2) , (-4/3,-1/6)	$(\frac{1}{2}, \frac{- 5}{2}) (\frac{- 4}{3}, \frac{- 1}{6})$
136580	Find the Midpoint	(-7,8) , (-2,-9)	$(- 7, 8) (- 2, - 9)$
136581	Find the Midpoint	(7,13) , (-14,19)	$(7, 13) (- 14, 19)$
136582	Find the Midpoint	(-5,-4) , (0,-3.5)	$(- 5, - 4) (0, - 3.5)$
136583	Find the Midpoint	(5,0) , (0,3)	$(5, 0) (0, 3)$
136584	Find the Midpoint	(-3,-5) , (-0.5,0)	$(- 3, - 5) (- 0.5, 0)$
136585	Find the Midpoint	(-3,-2) , (9,3)	$(- 3, - 2) (9, 3)$
136586	Find the Midpoint	(3,1) , (-3,-7)	$(3, 1) (- 3, - 7)$
136587	Find the Midpoint	(27,2) , (21,-14)	$(27, 2) (21, - 14)$
136588	Find @FORMULA	f(x)=2x-5	$f (x) = 2 x - 5$
136589	Find @FORMULA	f(x)=2x-6	$f (x) = 2 x - 6$
136590	Find @FORMULA	f(x)=1-x^2	$f (x) = 1 - x^{2}$
136591	Find @FORMULA	f(x)=x^2-3	$f (x) = x^{2} - 3$
136592	Find @FORMULA	f(x)=6x^2+5x	$f (x) = 6 x^{2} + 5 x$
136593	Find @FORMULA	f(x)=8x^2	$f (x) = 8 x^{2}$
136594	Find the Midpoint	(9,6) , (1,1)	$(9, 6)$ , $(1, 1)$
136595	Find the Midpoint	(-9,8) , (-1,3)	$(- 9, 8) (- 1, 3)$
136596	Find the Quadrant of the Angle	480	$480$
136597	Find the Quadrant of the Angle	440	$440$
136598	Find the Quadrant of the Angle	-( square root of 3)/2	$- \frac{\sqrt{3}}{2}$
136599	Find the Quadrant of the Angle	-(5pi)/9	$- \frac{5 π}{9}$
136600	Find the Quadrant of the Angle	(-2pi)/3	$\frac{- 2 π}{3}$