Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
8501	Write as a Function of x	y=sin(x)	$y = \sin (x)$
8502	Write as a Function of x	4pi+4arctan(x)=pi	$4 π + 4 \arctan (x) = π$
8503	Write as a Function of x	9+7 natural log of x=37	$9 + 7 \ln (x) = 37$
8504	Write as a Function of x	cos(4x)-1=sin(4x)	$\cos (4 x) - 1 = \sin (4 x)$
8505	Write as a Function of x	cot(60)=x/6	$\cot (60) = \frac{x}{6}$
8506	Write as a Function of x	t=(x-5)(x^2+x)+(x-5)	$t = (x - 5) (x^{2} + x) + (x - 5)$
8507	Write as a Function of x	x+100=9	$x + 100 = 9$
8508	Solve over the Interval	tan(x)=12/5 , pi<x<(3pi)/2	$\tan (x) = \frac{12}{5}$ , $π < x < \frac{3 π}{2}$
8509	Solve over the Interval	2sin(x)+ square root of 3=0 , 0=x<2pi	$2 \sin (x) + \sqrt{3} = 0$ , $0 = x < 2 π$
8510	Solve over the Interval	y=9/x , [1,10]	$y = \frac{9}{x}$ , $[1, 10]$
8511	Solve over the Interval	tan(x/2+pi/3)=1 , 0=x<2pi	$\tan (\frac{x}{2} + \frac{π}{3}) = 1$ , $0 = x < 2 π$
8512	Solve over the Interval	cos(x)=-1/2 , 0=x<2pi	$\cos (x) = - \frac{1}{2}$ , $0 = x < 2 π$
8513	Solve over the Interval	cos(x)^2+2cos(x)+1=0 , [0,2pi]	$\cos^{2} (x) + 2 \cos (x) + 1 = 0$ , $[0, 2 π]$
8514	Solve over the Interval	cos(x)=63/65 , 0<x<pi/2 , cos(2x)	$\cos (x) = \frac{63}{65}$ , $0 < x < \frac{π}{2}$ , $\cos (2 x)$
8515	Solve over the Interval	cos(x)=cot(x) , 0=x<2pi	$\cos (x) = \cot (x)$ , $0 = x < 2 π$
8516	Solve over the Interval	sin(2x)=( square root of 3)/2 , 0=x<2pi	$\sin (2 x) = \frac{\sqrt{3}}{2}$ , $0 = x < 2 π$
8517	Solve over the Interval	sin(x)=-cos(x)^2-1 , (0,2pi)	$\sin (x) = - \cos^{2} (x) - 1$ , $(0, 2 π)$
8518	Write as a Function of y	x+3y=12	$x + 3 y = 12$
8519	Write as a Function of y	x-8y-5=0	$x - 8 y - 5 = 0$
8520	Write as a Function of y	y=8	$y = 8$
8521	Solve over the Interval	(cot(x)+1)(sin(x)-1)=0 , 0=x<2pi	$(\cot (x) + 1) (\sin (x) - 1) = 0$ , $0 = x < 2 π$
8522	Solve over the Interval	csc(x)^2-1=0 , (0,2pi)	$\csc^{2} (x) - 1 = 0$ , $(0, 2 π)$
8523	Write as a Function of y	y=3x-8	$y = 3 x - 8$
8524	Graph	y=ax+b	$y = a x + b$
8525	Graph	y=8/(x^2)+2	$y = \frac{8}{x^{2}} + 2$
8526	Graph	y=(x-3)/6	$y = \frac{x - 3}{6}$
8527	Graph	2700=300*2^(10x)	$2700 = 300 \cdot 2^{10 x}$
8528	Graph	5/(( cube root of x)^2)=( cube root of 5x)/x	$\frac{5}{{(\sqrt[3]{x})}^{2}} = \frac{\sqrt[3]{5 x}}{x}$
8529	Find the Range	y=2cos(pi/4t)	$y = 2 \cos (\frac{π}{4} t)$
8530	Find the Range	y=3cos(x+pi)-3	$y = 3 \cos (x + π) - 3$
8531	Find the Range	16x^2+kx+9=0	$16 x^{2} + k x + 9 = 0$
8532	Find the Range	y=cos(x-pi)	$y = \cos (x - π)$
8533	Find the Range	y = square root of x-6	$y = \sqrt{x - 6}$
8534	Find the Range	x=315	$x = 315$
8535	Find the Range	(x-3)^2-1	${(x - 3)}^{2} - 1$
8536	Find the Range	f^-1(x)=x^3-9x^2+27x-27	$f^{- 1} (x) = x^{3} - 9 x^{2} + 27 x - 27$
8537	Factor	x^2+x-1/4	$x^{2} + x - \frac{1}{4}$
8538	Factor	x^2+9x-25	$x^{2} + 9 x - 25$
8539	Factor	x^2+8x-13	$x^{2} + 8 x - 13$
8540	Factor	x^2+8x-32	$x^{2} + 8 x - 32$
8541	Factor	x^2+7x-4x-28	$x^{2} + 7 x - 4 x - 28$
8542	Factor	x^2+81=0	$x^{2} + 81 = 0$
8543	Factor	x^2+7x-143	$x^{2} + 7 x - 143$
8544	Factor	x^2-12x+72	$x^{2} - 12 x + 72$
8545	Factor	x^2-2x-13	$x^{2} - 2 x - 13$
8546	Factor	x^2-324	$x^{2} - 324$
8547	Factor	x^2-2x+26	$x^{2} - 2 x + 26$
8548	Factor	x^2-20x+30	$x^{2} - 20 x + 30$
8549	Factor	x^2-22x+105	$x^{2} - 22 x + 105$
8550	Factor	x^2+2xh+h^2	$x^{2} + 2 x h + h^{2}$
8551	Factor	-x^2+4x-6	$- x^{2} + 4 x - 6$
8552	Factor	x^2(x-2)(x+2)+3x+6	$x^{2} (x - 2) (x + 2) + 3 x + 6$
8553	Factor	x^(-1/2)-2x^(1/2)+x^(3/2)	$x^{- \frac{1}{2}} - 2 x^{\frac{1}{2}} + x^{\frac{3}{2}}$
8554	Factor	tan(x)^3+8	$\tan^{3} (x) + 8$
8555	Factor	x^2-y^2+nx+ny	$x^{2} - y^{2} + n x + n y$
8556	Factor	x^2+11x-6	$x^{2} + 11 x - 6$
8557	Factor	x^2+12x-10	$x^{2} + 12 x - 10$
8558	Factor	x^2+10x+32	$x^{2} + 10 x + 32$
8559	Factor	-x^2+10x-16	$- x^{2} + 10 x - 16$
8560	Factor	x^2+10x-50	$x^{2} + 10 x - 50$
8561	Factor	x^2+1.80x-0.151012987	$x^{2} + 1.8 x - 0.15101298$
8562	Factor	x^2-9x-220	$x^{2} - 9 x - 220$
8563	Factor	x^2-9x+1	$x^{2} - 9 x + 1$
8564	Factor	x^3+x^2-12	$x^{3} + x^{2} - 12$
8565	Factor	x^3-x^2-11x+15	$x^{3} - x^{2} - 11 x + 15$
8566	Factor	x^3-x^2+9x-9	$x^{3} - x^{2} + 9 x - 9$
8567	Factor	x^3-x^2-49x+49	$x^{3} - x^{2} - 49 x + 49$
8568	Factor	x^2-5x-16	$x^{2} - 5 x - 16$
8569	Factor	x^2-7+12	$x^{2} - 7 + 12$
8570	Factor	x^2-81y^2	$x^{2} - 81 y^{2}$
8571	Factor	x^2-8x+16x-4y^2	$x^{2} - 8 x + 16 x - 4 y^{2}$
8572	Factor	x^2-4y^2-6x+9	$x^{2} - 4 y^{2} - 6 x + 9$
8573	Factor	-x^2-3x+3	$- x^{2} - 3 x + 3$
8574	Factor	x^3-10x^2+12x+72	$x^{3} - 10 x^{2} + 12 x + 72$
8575	Factor	x^3-10x^2+27x-12	$x^{3} - 10 x^{2} + 27 x - 12$
8576	Factor	x^3-10x^2+34x	$x^{3} - 10 x^{2} + 34 x$
8577	Factor	x^3+8x^2-12x-144	$x^{3} + 8 x^{2} - 12 x - 144$
8578	Factor	x^3-2x^2+2x-1	$x^{3} - 2 x^{2} + 2 x - 1$
8579	Factor	x^3-2x^2+15x-30	$x^{3} - 2 x^{2} + 15 x - 30$
8580	Factor	x^3-10x-24	$x^{3} - 10 x - 24$
8581	Factor	x^3-2x^2-7x-4	$x^{3} - 2 x^{2} - 7 x - 4$
8582	Factor	x^6+729	$x^{6} + 729$
8583	Factor	x^3-2x+x	$x^{3} - 2 x + x$
8584	Factor	x^3-2x+2	$x^{3} - 2 x + 2$
8585	Factor	x^3-3x^2-2	$x^{3} - 3 x^{2} - 2$
8586	Factor	x^3-3x^2-4x-12	$x^{3} - 3 x^{2} - 4 x - 12$
8587	Factor	x^3-3x^2+x-3	$x^{3} - 3 x^{2} + x - 3$
8588	Factor	x^3-3x^2-81x-77	$x^{3} - 3 x^{2} - 81 x - 77$
8589	Factor	x^3-3x+3x-1	$x^{3} - 3 x + 3 x - 1$
8590	Factor	x^3-3x^3-4x+12	$x^{3} - 3 x^{3} - 4 x + 12$
8591	Factor	x^3-4x^2+x-2	$x^{3} - 4 x^{2} + x - 2$
8592	Factor	x^3+16x^2+65x+50	$x^{3} + 16 x^{2} + 65 x + 50$
8593	Factor	x^3+2x^2-15x-36	$x^{3} + 2 x^{2} - 15 x - 36$
8594	Factor	x^3+10x^2+23x+14	$x^{3} + 10 x^{2} + 23 x + 14$
8595	Factor	x^3+6x^2-36x-216	$x^{3} + 6 x^{2} - 36 x - 216$
8596	Factor	x^3+6x^2-15x-100	$x^{3} + 6 x^{2} - 15 x - 100$
8597	Factor	x^3+4x^2+3x-2	$x^{3} + 4 x^{2} + 3 x - 2$
8598	Factor	x^3+4x^2+14x+20	$x^{3} + 4 x^{2} + 14 x + 20$
8599	Factor	x^3+5x-5	$x^{3} + 5 x - 5$
8600	Factor	s^2-6s+8	$s^{2} - 6 s + 8$