Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
136901	Find Amplitude, Period, and Phase Shift	f(x)=-9sin(3x)	$f (x) = - 9 \sin (3 x)$
136902	Find Amplitude, Period, and Phase Shift	f(x)=9sin(3x)-9	$f (x) = 9 \sin (3 x) - 9$
136903	Find Amplitude, Period, and Phase Shift	g(x)=1/3cos(4x)	$g (x) = \frac{1}{3} \cos (4 x)$
136904	Find Amplitude, Period, and Phase Shift	g(x)=2tan(pix)	$g (x) = 2 \tan (π x)$
136905	Find Amplitude, Period, and Phase Shift	f(x)=-5sin(3x+pi/2)	$f (x) = - 5 \sin (3 x + \frac{π}{2})$
136906	Find Amplitude, Period, and Phase Shift	f(x)=6sin(6x-2pi)	$f (x) = 6 \sin (6 x - 2 π)$
136907	Find Amplitude, Period, and Phase Shift	f(t)=-3sin(t)	$f (t) = - 3 \sin (t)$
136908	Find Amplitude, Period, and Phase Shift	f(x)=2cos(3x)+1	$f (x) = 2 \cos (3 x) + 1$
136909	Find Amplitude, Period, and Phase Shift	f(x)=2sin(2/3x-pi/6)	$f (x) = 2 \sin (\frac{2}{3} x - \frac{π}{6})$
136910	Find Amplitude, Period, and Phase Shift	f(x)=2.5tan(t)	$f (x) = 2.5 \tan (t)$
136911	Determine the Possible Number of Real Roots	f(x)=x^3+5x^2+9x+45	$f (x) = x^{3} + 5 x^{2} + 9 x + 45$
136912	Determine the Possible Number of Real Roots	f(x)=6x^3-7x^2+2x+8	$f (x) = 6 x^{3} - 7 x^{2} + 2 x + 8$
136913	Determine the Possible Number of Real Roots	f(x)=2x^4-9x^3+2x^2+9x-4	$f (x) = 2 x^{4} - 9 x^{3} + 2 x^{2} + 9 x - 4$
136914	Determine the Possible Number of Real Roots	f(x)=-2x^9+x^3-x^2+4	$f (x) = - 2 x^{9} + x^{3} - x^{2} + 4$
136915	Determine the Possible Number of Real Roots	P(x)=x^5+4x^3-x^2+8x	$P (x) = x^{5} + 4 x^{3} - x^{2} + 8 x$
136916	Determine the Possible Number of Real Roots	f(x)=5x^4-4x^3+44x^2-36x-9	$f (x) = 5 x^{4} - 4 x^{3} + 44 x^{2} - 36 x - 9$
136917	Determine the Possible Number of Real Roots	f(x)=x^4-3x^3+x^2+3x-2	$f (x) = x^{4} - 3 x^{3} + x^{2} + 3 x - 2$
136918	Determine the Possible Number of Real Roots	f(x)=x^4-5x^3+20x-16	$f (x) = x^{4} - 5 x^{3} + 20 x - 16$
136919	Project Using the Transformation	A=[[17,18],[2,4]] , x=[[8],[3]]	$A = [\begin{array}{c} 17 & 18 \\ 2 & 4 \end{array}]$ , $x = [\begin{array}{c} 8 \\ 3 \end{array}]$
136920	Find the Mode	5 10 4 5 6 9 22	$5$ $10$ $4$ $5$ $6$ $9$ $22$
136921	Find the Mode	5.4 , 6 , 6 , 7.4 , 3.5 , 6.9	$5.4$ , $6$ , $6$ , $7.4$ , $3.5$ , $6.9$
136922	Find the Mode	4 , 6 , 7 , 9 , 10 , 11 , 11 , 12 , 15 , 16	$4$ , $6$ , $7$ , $9$ , $10$ , $11$ , $11$ , $12$ , $15$ , $16$
136923	Find the Mode	54 , 78 , 36 , 46 , 36	$54$ , $78$ , $36$ , $46$ , $36$
136924	Find the Mode	6.9 , 6 , 6.6 , 3.8 , 6 , 6.1	$6.9$ , $6$ , $6.6$ , $3.8$ , $6$ , $6.1$
136925	Find the Mode	55 , 48 , 35 , 46 , 56 , 43 , 59	$55$ , $48$ , $35$ , $46$ , $56$ , $43$ , $59$
136926	Find the Mode	6.4 , 5.5 , 6.1 , 3.3 , 5.5 , 5.6	$6.4$ , $5.5$ , $6.1$ , $3.3$ , $5.5$ , $5.6$
136927	Find the Mode	6.6 , 5.7 , 6.3 , 3.5 , 5.7 , 5.8	$6.6$ , $5.7$ , $6.3$ , $3.5$ , $5.7$ , $5.8$
136928	Find the Mode	8 , 1 , 1 , 3 , 3 , 5 , 5 , 6 , 7 , 9 , 9 , 9 , 10 , 10	$8$ , $1$ , $1$ , $3$ , $3$ , $5$ , $5$ , $6$ , $7$ , $9$ , $9$ , $9$ , $10$ , $10$
136929	Find the Mode	80 , 73 , 72 , 76 , 84 , 86 , 82 , 73 , 81 , 84 , 78 , 85 , 87 , 84 , 70	$80$ , $73$ , $72$ , $76$ , $84$ , $86$ , $82$ , $73$ , $81$ , $84$ , $78$ , $85$ , $87$ , $84$ , $70$
136930	Find the Mode	81 , 83 , 69 , 71 , 74 , 67 , 85 , 74 , 73 , 78 , 80 , 89 , 75	$81$ , $83$ , $69$ , $71$ , $74$ , $67$ , $85$ , $74$ , $73$ , $78$ , $80$ , $89$ , $75$
136931	Find the Mode	72 , 71 , 70 , 70 , 70 , 69 , 69 , 69 , 69 , 69 , 68 , 68 , 68 , 67 , 67	$72$ , $71$ , $70$ , $70$ , $70$ , $69$ , $69$ , $69$ , $69$ , $69$ , $68$ , $68$ , $68$ , $67$ , $67$
136932	Find the Mode	75 , 77 , 63 , 65 , 68 , 61 , 79 , 68 , 67 , 72 , 74 , 83 , 69	$75$ , $77$ , $63$ , $65$ , $68$ , $61$ , $79$ , $68$ , $67$ , $72$ , $74$ , $83$ , $69$
136933	Find the Mode	7.5 , 6.6 , 7.2 , 4.4 , 6.6 , 6.7	$7.5$ , $6.6$ , $7.2$ , $4.4$ , $6.6$ , $6.7$
136934	Find the Mode	7.6 , 6.7 , 7.3 , 4.5 , 6.7 , 6.8	$7.6$ , $6.7$ , $7.3$ , $4.5$ , $6.7$ , $6.8$
136935	Find the Mode	7.1 , 7.7 , 7.7 , 9.1 , 5.2 , 8.6	$7.1$ , $7.7$ , $7.7$ , $9.1$ , $5.2$ , $8.6$
136936	Find the Mode	145 , 181 , 163 , 150 , 158 , 172 , 159	$145$ , $181$ , $163$ , $150$ , $158$ , $172$ , $159$
136937	Find the Mode	13 , 16 , 19 , 20 , 22 , 25 , 30 , 31	$13$ , $16$ , $19$ , $20$ , $22$ , $25$ , $30$ , $31$
136938	Find the Mode	17 , 23 , 8 , 5 , 9 , 16 , 22 , 11 , 13 , 15 , 17 , 18	$17$ , $23$ , $8$ , $5$ , $9$ , $16$ , $22$ , $11$ , $13$ , $15$ , $17$ , $18$
136939	Find the Mode	35 , 36 , 36 , 38 , 41 , 42 , 45 , 48	$35$ , $36$ , $36$ , $38$ , $41$ , $42$ , $45$ , $48$
136940	Find the Mode	3 , 13 , 23 , 33 , 43 , 53 , 63 , 73	$3$ , $13$ , $23$ , $33$ , $43$ , $53$ , $63$ , $73$
136941	Find the Mode	24 , 19 , 30 , 39 , 22 , 19 , 26 , 35 , 42 , 15 , 25	$24$ , $19$ , $30$ , $39$ , $22$ , $19$ , $26$ , $35$ , $42$ , $15$ , $25$
136942	Find the Mode	2 , 2 , 8 , 10 , 15 , 30 , 36 , 40 , 50 , 51	$2$ , $2$ , $8$ , $10$ , $15$ , $30$ , $36$ , $40$ , $50$ , $51$
136943	Find the Behavior (Leading Coefficient Test)	(x-3)^2(x+1)(x-2)	${(x - 3)}^{2} (x + 1) (x - 2)$
136944	Find the Behavior (Leading Coefficient Test)	log base 2 of x	$\log_{2} (x)$
136945	Find the Mode	88 , 89 , 65 , 62 , 83 , 63 , 74 , 64 , 71 , 82 , 66 , 88 , 79 , 60 , 86 , 63 , 93 , 99 , 60 , 85	$88$ , $89$ , $65$ , $62$ , $83$ , $63$ , $74$ , $64$ , $71$ , $82$ , $66$ , $88$ , $79$ , $60$ , $86$ , $63$ , $93$ , $99$ , $60$ , $85$
136946	Divide	32/8	$\frac{32}{8}$
136947	Divide	4/6	$\frac{4}{6}$
136948	Find the Mode	12 , 11 , 17 , 3 , 9 , 14 , 16 , 2	$12$ , $11$ , $17$ , $3$ , $9$ , $14$ , $16$ , $2$
136949	Find the Mode	100 , 100 , 100 , 90 , 95 , 85 , 92 , 98 , 92 , 88	$100$ , $100$ , $100$ , $90$ , $95$ , $85$ , $92$ , $98$ , $92$ , $88$
136950	Divide	6/4	$\frac{6}{4}$
136951	Find the Lower or First Quartile	2 , 6 , 10 , 20 , 24 , 30 , 34 , 40	$2$ , $6$ , $10$ , $20$ , $24$ , $30$ , $34$ , $40$
136952	Find the Lower or First Quartile	42 , 48 , 43 , 65 , 58 , 47 , 60 , 56 , 52 , 64 , 51 , 66 , 56 , 62	$42$ , $48$ , $43$ , $65$ , $58$ , $47$ , $60$ , $56$ , $52$ , $64$ , $51$ , $66$ , $56$ , $62$
136953	Find the Behavior (Leading Coefficient Test)	x^3+10x^2+32x+34	$x^{3} + 10 x^{2} + 32 x + 34$
136954	Find the Behavior (Leading Coefficient Test)	x^4+10x^3+25x^2	$x^{4} + 10 x^{3} + 25 x^{2}$
136955	Find the Eccentricity	4x^2+y^2=16	$4 x^{2} + y^{2} = 16$
136956	Find the Eccentricity	36x^2+4y^2=9	$36 x^{2} + 4 y^{2} = 9$
136957	Find the Eccentricity	47x^2+y^2=47	$47 x^{2} + y^{2} = 47$
136958	Find the Eccentricity	8x^2+9y^2=72	$8 x^{2} + 9 y^{2} = 72$
136959	Find the Eccentricity	9x^2+16y^2=144	$9 x^{2} + 16 y^{2} = 144$
136960	Find the Eccentricity	y^2=1-3x^2	$y^{2} = 1 - 3 x^{2}$
136961	Find the Eccentricity	9x^2+4y^2-36x+24y-72=0	$9 x^{2} + 4 y^{2} - 36 x + 24 y - 72 = 0$
136962	Find the Eccentricity	(x^2)/64+(y^2)/16=1	$\frac{x^{2}}{64} + \frac{y^{2}}{16} = 1$
136963	Find the Eccentricity	(x^2)/36+(y^2)/49=1	$\frac{x^{2}}{36} + \frac{y^{2}}{49} = 1$
136964	Find the Eccentricity	(x^2)/4+(y^2)/81=1	$\frac{x^{2}}{4} + \frac{y^{2}}{81} = 1$
136965	Find the Cofactor Matrix	[[3,7,1],[7,1,-3],[8,5,1]]	$[\begin{array}{c} 3 & 7 & 1 \\ 7 & 1 & - 3 \\ 8 & 5 & 1 \end{array}]$
136966	Find the Eccentricity	((x+5)^2)/25-((y+2)^2)/9=1	$\frac{{(x + 5)}^{2}}{25} - \frac{{(y + 2)}^{2}}{9} = 1$
136967	Find the Eccentricity	(x^2)/100+(y^2)/64=1	$\frac{x^{2}}{100} + \frac{y^{2}}{64} = 1$
136968	Find the Eccentricity	(x^2)/16-(y^2)/25=1	$\frac{x^{2}}{16} - \frac{y^{2}}{25} = 1$
136969	Find the Eccentricity	(x^2)/16-(y^2)/9=1	$\frac{x^{2}}{16} - \frac{y^{2}}{9} = 1$
136970	Find the Eccentricity	(x^2)/15-(y^2)/5=1	$\frac{x^{2}}{15} - \frac{y^{2}}{5} = 1$
136971	Write in Standard Form	x^2+6x+4y+13=0	$x^{2} + 6 x + 4 y + 13 = 0$
136972	Write in Standard Form	3x^2+6y^2+12x-12y+6=0	$3 x^{2} + 6 y^{2} + 12 x - 12 y + 6 = 0$
136973	Find the Leading Coefficient	3x^2	$3 x^{2}$
136974	Find the Leading Coefficient	4x	$4 x$
136975	Find the Leading Coefficient	6a^5+3a^4-5a^2-1	$6 a^{5} + 3 a^{4} - 5 a^{2} - 1$
136976	Find the Leading Coefficient	(2x+y)^6	${(2 x + y)}^{6}$
136977	Find the Inflection Points	f(x)=x^4-36x^2	$f (x) = x^{4} - 36 x^{2}$
136978	Find the Inflection Points	f(x)=(5x)/(x^2-4)	$f (x) = \frac{5 x}{x^{2} - 4}$
136979	Find the Equation with a Point and y-intercept	(0,3) , m=1	$(0, 3)$ , $m = 1$
136980	Find the Equation with a Point and y-intercept	(0,-5)	$(0, - 5)$
136981	Find the Fourth Derivative	(x+3y)^7	${(x + 3 y)}^{7}$
136982	Find the Second Derivative	(x^2)/(x^2+1)	$\frac{x^{2}}{x^{2} + 1}$
136983	Find the Equation with a Point and Slope	4/5 , (-10,5)	$\frac{4}{5}$ , $(- 10, 5)$
136984	Find the Second Derivative	2e^(-x^2)	$2 e^{- x^{2}}$
136985	Find the Inverse	y=4x-2	$y = 4 x - 2$
136986	Find the Inverse	y=3x-7	$y = 3 x - 7$
136987	Find the Inverse	y=x-4	$y = x - 4$
136988	Find the Points of Intersection	y=2x-3y=-x^2+5x+1	$y = 2 x - 3 y = - x^{2} + 5 x + 1$
136989	Find the Points of Intersection	y=300+60x , y=18300-60x	$y = 300 + 60 x$ , $y = 18300 - 60 x$
136990	Find the Points of Intersection	y=5x-9y=x^2-3x+7	$y = 5 x - 9 y = x^{2} - 3 x + 7$
136991	Find the Points of Intersection	y=4-x*2y=8-2x	$y = 4 - x \cdot 2 y = 8 - 2 x$
136992	Find the Points of Intersection	y=2x y=x^2-8	$y = 2 x$ $y = x^{2} - 8$
136993	Find the Points of Intersection	x^2+y^2=49 , y^2-6x=49	$x^{2} + y^{2} = 49$ , $y^{2} - 6 x = 49$
136994	Find the Points of Intersection	x=2y*3x-4y=8	$x = 2 y \cdot 3 x - 4 y = 8$
136995	Find the Points of Intersection	x+y=9x-y=3	$x + y = 9 x - y = 3$
136996	Round to the Nearest Thousandth	333.84660833	$333.84660833$
136997	Round to the Nearest Thousandth	3.6	$3.6$
136998	Round to the Nearest Thousandth	9.2195	$9.2195$
136999	Round to the Nearest Thousandth	8.48528137	$8.48528137$
137000	Find the Points of Intersection	2x-y=cx+2y=d	$2 x - y = c x + 2 y = d$