Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
58701	Evaluate	sec(0)	$\sec (0)$
58702	Solve by Graphing	log of x-x^2=1+x^2+ log of x+5	$\log (x) - x^{2} = 1 + x^{2} + \log (x + 5)$
58703	Evaluate	tan(150)	$\tan (150)$
58704	Solve by Graphing	9x+3 square root of x-2=0	$9 x + 3 \sqrt{x - 2} = 0$
58705	Evaluate	sin(pi/4)	$\sin (\frac{π}{4})$
58706	Solve by Graphing	-x^2-6x+5=2x+5	$- x^{2} - 6 x + 5 = 2 x + 5$
58707	Solve by Graphing	1=12x^2+11x	$1 = 12 x^{2} + 11 x$
58708	Evaluate	5(-4)	$5 (- 4)$
58709	Evaluate	-5-0	$- 5 - 0$
58710	Solve by Graphing	\|x\|=15	$\| x \| = 15$
58711	Evaluate	5 3/4	$5 \frac{3}{4}$
58712	Solve by Graphing	\|x\|=-15	$\| x \| = - 15$
58713	Evaluate	5 square root of 48-3 square root of 32+ square root of 75	$5 \sqrt{48} - 3 \sqrt{32} + \sqrt{75}$
58714	Evaluate	5 square root of 8+ square root of 98-2 square root of 18	$5 \sqrt{8} + \sqrt{98} - 2 \sqrt{18}$
58715	Solve by Graphing	e^(4-3x)=4/3x+9	$e^{4 - 3 x} = \frac{4}{3} x + 9$
58716	Evaluate	5 square root of 8+3 square root of 72-3 square root of 50	$5 \sqrt{8} + 3 \sqrt{72} - 3 \sqrt{50}$
58717	Solve by Graphing	(x+7)^(2/3)=9	${(x + 7)}^{\frac{2}{3}} = 9$
58718	Evaluate	6- square root of -28	$6 - \sqrt{- 28}$
58719	Solve by Graphing	x*2^x=5	$x \cdot 2^{x} = 5$
58720	Evaluate	6 square root of 48-2 square root of 32+ square root of 27	$6 \sqrt{48} - 2 \sqrt{32} + \sqrt{27}$
58721	Evaluate	6-(-9)	$6 - (- 9)$
58722	Evaluate	6-(-6)	$6 - (- 6)$
58723	Solve by Graphing	e^x+ natural log of x=6	$e^{x} + \ln (x) = 6$
58724	Evaluate	6*16	$6 \cdot 16$
58725	Solve by Graphing	x-x<0	$x - y < 0$
58726	Evaluate	6*18	$6 \cdot 18$
58727	Evaluate	6*30	$6 \cdot 30$
58728	Solve by Graphing	2x<=x^2-4	$2 y \leq x^{2} - 4$
58729	Evaluate	64+9	$64 + 9$
58730	Evaluate	60*6	$60 \cdot 6$
58731	Solve by Graphing	e^x=4x+1	$e^{x} = 4 x + 1$
58732	Evaluate	6-14	$6 - 14$
58733	Solve by Graphing	x^3+72=5x^2+18x	$x^{3} + 72 = 5 x^{2} + 18 x$
58734	Solve by Graphing	square root of 3x-2=-1+2x^2	$\sqrt{3 x - 2} = - 1 + 2 x^{2}$
58735	Evaluate	7-(-5)	$7 - (- 5)$
58736	Evaluate	7 square root of 7-2 square root of 28	$7 \sqrt{7} - 2 \sqrt{28}$
58737	Evaluate	-8-(-8)	$- 8 - (- 8)$
58738	Evaluate	8 square root of 5+3 square root of 5	$8 \sqrt{5} + 3 \sqrt{5}$
58739	Evaluate	-8*5	$- 8 \cdot 5$
58740	Find the Union of the Inequalities	4x-18>2 , -17x-8<=-25	$4 x - 18 > 2$ , $- 17 x - 8 \leq - 25$
58741	Graph	f(x) = square root of x+3	$f (x) = \sqrt{x + 3}$
58742	Find the Upper or Third Quartile	45 , 23 , 16 , 78 , 24 , 39 , 95	$45$ , $23$ , $16$ , $78$ , $24$ , $39$ , $95$
58743	Find the Vertex	y=-6x^2-8x+10	$y = - 6 x^{2} - 8 x + 10$
58744	Find the Vertex	y=5x^2-4	$y = 5 x^{2} - 4$
58745	Find the Upper or Third Quartile	14 , 18 , 20 , 21 , 25 , 32 , 42 , 46 , 48	$14$ , $18$ , $20$ , $21$ , $25$ , $32$ , $42$ , $46$ , $48$
58746	Find the Vertex	y=5x^2-5x+7	$y = 5 x^{2} - 5 x + 7$
58747	Find the Upper or Third Quartile	49.6 , 55.1 , 57.4 , 49.7 , 61.1 , 43.4 , 60.7 , 50.1 , 50.7 , 58.8 , 53.9 , 43.2 , 49.2 , 47.9 , 51.2	$49.6$ , $55.1$ , $57.4$ , $49.7$ , $61.1$ , $43.4$ , $60.7$ , $50.1$ , $50.7$ , $58.8$ , $53.9$ , $43.2$ , $49.2$ , $47.9$ , $51.2$
58748	Find the Vertex	y=3x^2-12x+13	$y = 3 x^{2} - 12 x + 13$
58749	Expand Using Sum/Difference Formulas	tan(195)	$\tan (195)$
58750	Find the Vertex	y=3x^2-12x+7	$y = 3 x^{2} - 12 x + 7$
58751	Expand Using Sum/Difference Formulas	sin(-pi/12)	$\sin (- \frac{π}{12})$
58752	Find the Vertex	y=-3x^2-12x-7	$y = - 3 x^{2} - 12 x - 7$
58753	Expand Using Sum/Difference Formulas	cos(75 degrees )	$\cos (75 °)$
58754	Find the Vertex	y=x^2-7x	$y = x^{2} - 7 x$
58755	Find the Vertex	y=x^2-x-20	$y = x^{2} - x - 20$
58756	Expand Using Sum/Difference Formulas	cos((2pi)/5)cos((7pi)/20)-sin((2pi)/5)sin((7pi)/20)	$\cos (\frac{2 π}{5}) \cos (\frac{7 π}{20}) - \sin (\frac{2 π}{5}) \sin (\frac{7 π}{20})$
58757	Expand Using Sum/Difference Formulas	sin((4pi)/7)cos((5pi)/21)-cos((4pi)/7)sin((5pi)/21)	$\sin (\frac{4 π}{7}) \cos (\frac{5 π}{21}) - \cos (\frac{4 π}{7}) \sin (\frac{5 π}{21})$
58758	Find the Vertex	y=x^2-5x+2	$y = x^{2} - 5 x + 2$
58759	Find the Vertex	y=2x^2+4x+9	$y = 2 x^{2} + 4 x + 9$
58760	Find the Vertex	y=-2x^2+4x-9	$y = - 2 x^{2} + 4 x - 9$
58761	Find the Maximum Number of Real Roots	3x^3-x^2+4x-2	$3 x^{3} - x^{2} + 4 x - 2$
58762	Find the Vertex	y=2x^2+12x+16	$y = 2 x^{2} + 12 x + 16$
58763	Find the Maximum Number of Real Roots	x square root of 784-x^2	$x \sqrt{784 - x^{2}}$
58764	Find the Vertex	y=2x^2-8x+7	$y = 2 x^{2} - 8 x + 7$
58765	Find the Vertex	y=-2x^2-8x-6	$y = - 2 x^{2} - 8 x - 6$
58766	Find the Vertex	y=2x^2-6x	$y = 2 x^{2} - 6 x$
58767	Identify the Conic	x^2-14x+4=9y^2-36y	$x^{2} - 14 x + 4 = 9 y^{2} - 36 y$
58768	Find the Vertex	y=-2x^2-3x+3	$y = - 2 x^{2} - 3 x + 3$
58769	Identify the Conic	4x^2+9y^2-48x+72y+144=0	$4 x^{2} + 9 y^{2} - 48 x + 72 y + 144 = 0$
58770	Find the Vertex	y=2x^2-3x+1	$y = 2 x^{2} - 3 x + 1$
58771	Identify the Conic	7(y+5)^2=63-9(x+2)^2	$7 {(y + 5)}^{2} = 63 - 9 {(x + 2)}^{2}$
58772	Find the Vertex	y=2x^2-2x+4	$y = 2 x^{2} - 2 x + 4$
58773	Identify the Conic	x^2+y^2+8x-10y-40=0	$x^{2} + y^{2} + 8 x - 10 y - 40 = 0$
58774	Find the Vertex	y=(x+1)(x-3)	$y = (x + 1) (x - 3)$
58775	Find the Vertex	y=x^2-10x+3	$y = x^{2} - 10 x + 3$
58776	Find the Vertex	y=x^2-11x+18	$y = x^{2} - 11 x + 18$
58777	Find the Vertex	y=x^2+9x+18	$y = x^{2} + 9 x + 18$
58778	Find the Vertex	y=x^2+8x-3	$y = x^{2} + 8 x - 3$
58779	Find the Vertex	y=x^2+8x+14	$y = x^{2} + 8 x + 14$
58780	Identify the Conic	x^2+6x-4y=9	$x^{2} + 6 x - 4 y = 9$
58781	Identify the Conic	((x-4)^2)/36-((y-2)^2)/9=1	$\frac{{(x - 4)}^{2}}{36} - \frac{{(y - 2)}^{2}}{9} = 1$
58782	Find the Vertex	y=x^2+4x-16	$y = x^{2} + 4 x - 16$
58783	Identify the Conic	3x^2+2x-5y+7=0	$3 x^{2} + 2 x - 5 y + 7 = 0$
58784	Identify the Conic	y^2=10x	$y^{2} = 10 x$
58785	Find the Vertex	y=-x^2+12x-4	$y = - x^{2} + 12 x - 4$
58786	Identify the Conic	9x^2+4y^2-36x+32y+64=0	$9 x^{2} + 4 y^{2} - 36 x + 32 y + 64 = 0$
58787	Find the Vertex	y=-(x-3)^2-1	$y = - {(x - 3)}^{2} - 1$
58788	Identify the Conic	4x^2+4y^2-100=0	$4 x^{2} + 4 y^{2} - 100 = 0$
58789	Find the Vertex	y=(x-1)^2-1	$y = {(x - 1)}^{2} - 1$
58790	Identify the Conic	-9x^2+16y^2+126x-160y-185=0	$- 9 x^{2} + 16 y^{2} + 126 x - 160 y - 185 = 0$
58791	Identify the Conic	xy=25	$x y = 25$
58792	Find the Vertex	y=(x+3)^2	$y = {(x + 3)}^{2}$
58793	Identify the Conic	3x^2+4y^2+2x-10=0	$3 x^{2} + 4 y^{2} + 2 x - 10 = 0$
58794	Identify the Conic	x^2+6x+y^2-18y=9	$x^{2} + 6 x + y^{2} - 18 y = 9$
58795	Identify the Conic	x^2+y^2-4x+6y-5=0	$x^{2} + y^{2} - 4 x + 6 y - 5 = 0$
58796	Identify the Conic	3x^2-18xy+4y^2+16x-8y-5=0	$3 x^{2} - 18 x y + 4 y^{2} + 16 x - 8 y - 5 = 0$
58797	Find the Vertex	y=-1/4x^2-1/7x	$y = - \frac{1}{4} x^{2} - \frac{1}{7} x$
58798	Identify the Conic	((y-2)^2)/(3^2)-((x+1)^2)/(5^2)=1	$\frac{{(y - 2)}^{2}}{3^{2}} - \frac{{(x + 1)}^{2}}{5^{2}} = 1$
58799	Find the Domain and Range	f(x) = square root of x+2	$f (x) = \sqrt{x} + 2$
58800	Identify the Conic	y^2=4x	$y^{2} = 4 x$