Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
30701	Factor	f(x)=3x^3-16x^2-103x+36	$f (x) = 3 x^{3} - 16 x^{2} - 103 x + 36$
30702	Factor	g(x)=4cos(2x-pi)-2	$g (x) = 4 \cos (2 x - π) - 2$
30703	Factor	g(x)=a(x-h)x^2+k	$g (x) = a (x - h) x^{2} + k$
30704	Factor	k(theta)=-7sin(theta)	$k (θ) = - 7 \sin (θ)$
30705	Factor	h(t)=-0.3^2+6t+5	$h (t) = - {0.3}^{2} + 6 t + 5$
30706	Factor	H(t)=12+7.9sin((2pi)/365*(76-76))	$H (t) = 12 + 7.9 \sin (\frac{2 π}{365} \cdot (76 - 76))$
30707	Factor	h(t)=-16*2t^2+80(2)	$h (t) = - 16 \cdot 2 t^{2} + 80 (2)$
30708	Factor	h(t)=300-16t^2	$h (t) = 300 - 16 t^{2}$
30709	Factor	h(t)=3cos(pi/10t)	$h (t) = 3 \cos (\frac{π}{10} t)$
30710	Factor	h(t)=-5t^2+16t+1	$h (t) = - 5 t^{2} + 16 t + 1$
30711	Factor	h(t)=5t^2+20t+110	$h (t) = 5 t^{2} + 20 t + 110$
30712	Factor	h(x)=1/2*((3x-2)(3x-4))	$h (x) = \frac{1}{2} \cdot ((3 x - 2) (3 x - 4))$
30713	Factor	h(x)=x^2-25	$h (x) = x^{2} - 25$
30714	Factor	h(x)=2x- square root of x^2-3	$h (x) = 2 x - \sqrt{x^{2} - 3}$
30715	Factor	h(x)=2x+3	$h (x) = 2 x + 3$
30716	Factor	h(x)=- natural log of x	$h (x) = - \ln (x)$
30717	Factor	h(theta)=9cos(theta)	$h (θ) = 9 \cos (θ)$
30718	Factor	k(x)=(1/2)	$k (x) = (\frac{1}{2})$
30719	Factor	N(t)=5000/(1+18.6+551656)	$N (t) = \frac{5000}{1 + 18.6 + 551656}$
30720	Factor	n(t)=290000*e^(0.0267t)	$n (t) = 290000 \cdot e^{0.0267 t}$
30721	Factor	N(x)=-0.6x^2+14.4x+12	$N (x) = - 0.6 x^{2} + 14.4 x + 12$
30722	Factor	n(x)=7(0.067)^x	$n (x) = 7 {(0.067)}^{x}$
30723	Factor	P(t)=(v(m))(c(m))(cos(x)sin(wt)^2)-vm(c(m))(sin(x)sin(wt)cos(wt))	$P (t) = (v (m)) (c (m)) \cdot (\cos (x) \sin^{2} (w t)) - v m (c (m)) \cdot (\sin (x) \sin (w t) \cos (w t))$
30724	Factor	p(t)=-2t^5+10t^4-30t^2+100	$p (t) = - 2 t^{5} + 10 t^{4} - 30 t^{2} + 100$
30725	Factor	P(t)=36+44e^(-0.058*12)	$P (t) = 36 + 44 e^{- 0.058 \cdot 12}$
30726	Factor	P(t)=450(1.015)^t	$P (t) = 450 {(1.015)}^{t}$
30727	Factor	p(x)=(75x-3x^2)-125+14x	$p (x) = (75 x - 3 x^{2}) - 125 + 14 x$
30728	Factor	p(x)=(f(x))/(g(x))	$p (x) = \frac{f (x)}{g (x)}$
30729	Factor	P(x)=x^2+81	$P (x) = x^{2} + 81$
30730	Factor	f(x)=x+2	$f (x) = x + 2$
30731	Factor	f(x)=x-1÷(k^2)x^3-4kx+3	$f (x) = x - 1 \div k^{2} x^{3} - 4 k x + 3$
30732	Factor	f(x)=x-14 square root of x+45	$f (x) = x - 14 \sqrt{x + 45}$
30733	Factor	f(x)=x^3+x^2-21x-45	$f (x) = x^{3} + x^{2} - 21 x - 45$
30734	Factor	f(x)=x^3+5x^2-12x-36	$f (x) = x^{3} + 5 x^{2} - 12 x - 36$
30735	Factor	g(x) = log base 3 of x-4	$g (x) = \log_{3} (x - 4)$
30736	Factor	g(x)=x^(2-10x-3)	$g (x) = x^{2 - 10 x - 3}$
30737	Factor	g(x)=x^3+16x^2+66x+121	$g (x) = x^{3} + 16 x^{2} + 66 x + 121$
30738	Find the Exact Value	sec(arccos(( square root of 2)/2))	$\sec (\arccos (\frac{\sqrt{2}}{2}))$
30739	Solve by Graphing	5sin(x)-4=0	$5 \sin (x) - 4 = 0$
30740	Solve by Graphing	6(1-cos(x))=sin(x)^2	$6 (1 - \cos (x)) = \sin^{2} (x)$
30741	Solve by Graphing	60sin(4x-0.6)=-30	$60 \sin (4 x - 0.6) = - 30$
30742	Solve by Graphing	a(90)=16sin(90)*(cos(90+1))	$a (90) = 16 \sin (90) \cdot (\cos (90 + 1))$
30743	Solve by Graphing	arcsec(x)=arccos(1/x)	$arcsec (x) = \arccos (\frac{1}{x})$
30744	Solve by Graphing	cos(x)=19/20	$\cos (x) = \frac{19}{20}$
30745	Solve by Graphing	cos(x)=4/5	$\cos (x) = \frac{4}{5}$
30746	Solve by Graphing	cos(x)=0.2588	$\cos (x) = 0.2588$
30747	Solve by Graphing	cos(x)=-0.7880	$\cos (x) = - 0.788$
30748	Solve by Graphing	cos(x)-sec(x)=-sin(x)tan(x)	$\cos (x) - \sec (x) = - \sin (x) \tan (x)$
30749	Solve by Graphing	cos(x)tan(x)=sin(x)	$\cos (x) \tan (x) = \sin (x)$
30750	Solve by Graphing	cos(x/2)=0	$\cos (\frac{x}{2}) = 0$
30751	Solve by Graphing	cos(pi/2)=2	$\cos (\frac{π}{2}) = 2$
30752	Solve by Graphing	cos(pi/3)=sin(pi/3)	$\cos (\frac{π}{3}) = \sin (\frac{π}{3})$
30753	Solve by Graphing	cos(2x)=3/5	$\cos (2 x) = \frac{3}{5}$
30754	Solve by Graphing	cos(2x)=- square root of 2/2	$\cos (2 x) = - \sqrt{\frac{2}{2}}$
30755	Solve by Graphing	cos(B)=11/18	$\cos (B) = \frac{11}{18}$
30756	Solve by Graphing	cos(x)=(81-178)/-154	$\cos (x) = \frac{81 - 178}{- 154}$
30757	Solve by Graphing	cos(x)=0.6	$\cos (x) = 0.6$
30758	Solve by Graphing	cos(x)=-0.744	$\cos (x) = - 0.744$
30759	Solve by Graphing	cot(x)+tan(x)=(sec(x)^2)/(tan(x))	$\cot (x) + \tan (x) = \frac{\sec^{2} (x)}{\tan (x)}$
30760	Solve by Graphing	cot(17)=tan(73)	$\cot (17) = \tan (73)$
30761	Solve by Graphing	cot(2x)=0.75	$\cot (2 x) = 0.75$
30762	Solve by Graphing	csc(x)=-2.000	$\csc (x) = - 2$
30763	Solve by Graphing	csc(x- square root of 2)=0	$\csc (x - \sqrt{2}) = 0$
30764	Solve by Graphing	natural log of 14=(0.4x)	$\ln (14) = (0.4 x)$
30765	Solve by Graphing	natural log of 2x=cos(2x)	$\ln (2 x) = \cos (2 x)$
30766	Solve by Graphing	2x-4+2x-9=180	$2 x - 4 + 2 x - 9 = 180$
30767	Solve by Graphing	2xsin(x)-2=0	$2 x \sin (x) - 2 = 0$
30768	Solve by Graphing	3\|x+1\|-4=-5\|x+1\|+8	$3 \| x + 1 \| - 4 = - 5 \| x + 1 \| + 8$
30769	Solve by Graphing	3cot(x)^2=1+4cos(x)^2	$3 \cot^{2} (x) = 1 + 4 \cos^{2} (x)$
30770	Solve by Graphing	3sin(x)^2=11sin(x)-8	$3 \sin^{2} (x) = 11 \sin (x) - 8$
30771	Solve by Graphing	3+cos(x)=5-3cos(x)	$3 + \cos (x) = 5 - 3 \cos (x)$
30772	Solve by Graphing	4cos(x)^2+11cos(x)+6=0	$4 \cos^{2} (x) + 11 \cos (x) + 6 = 0$
30773	Solve by Graphing	4sin(x)^2-1=0	$4 \sin^{2} (x) - 1 = 0$
30774	Solve by Graphing	4sin(x)^2-2=0	$4 \sin^{2} (x) - 2 = 0$
30775	Solve by Graphing	4-4sin(x)=4 square root of 3cos(x)	$4 - 4 \sin (x) = 4 \sqrt{3} \cos (x)$
30776	Solve by Graphing	4cos(x)=4cos(2x)	$4 \cos (x) = 4 \cos (2 x)$
30777	Solve by Graphing	4cos(2x)+2sin(x)=1	$4 \cos (2 x) + 2 \sin (x) = 1$
30778	Solve by Graphing	4sin(x)+3 square root of 3 = square root of 3	$4 \sin (x) + 3 \sqrt{3} = \sqrt{3}$
30779	Solve by Graphing	4sin(x)+5=8	$4 \sin (x) + 5 = 8$
30780	Solve by Graphing	4sin(2x)=x^2+1	$4 \sin (2 x) = x^{2} + 1$
30781	Solve by Graphing	4sin(x)cos(x)=1	$4 \sin (x) \cos (x) = 1$
30782	Solve by Graphing	square root of 3x-2+4=5	$\sqrt{3 x - 2 + 4} = 5$
30783	Solve by Graphing	square root of n+9=1	$\sqrt{n} + 9 = 1$
30784	Solve by Graphing	x^2+3x+5=0	$x^{2} + 3 x + 5 = 0$
30785	Graph	theta=(7pi)/12	$θ = \frac{7 π}{12}$
30786	Solve by Graphing	-x^3+9x^2-15x-10=0	$- x^{3} + 9 x^{2} - 15 x - 10 = 0$
30787	Solve by Graphing	0.06x^2-0.3x+0.08=0	$0.06 x^{2} - 0.3 x + 0.08 = 0$
30788	Solve by Graphing	0=(1/12)( square root of 3cos(8t)-3sin(8t))	$0 = (\frac{1}{12}) (\sqrt{3} \cos (8 t) - 3 \sin (8 t))$
30789	Solve by Graphing	12cos(x-9)^2=0	$12 \cos^{2} (x - 9) = 0$
30790	Solve by Graphing	120=(70^2)/16*(cos(x)sin(x))	$120 = \frac{70^{2}}{16} \cdot (\cos (x) \sin (x))$
30791	Solve by Graphing	12tan(x)+10=11(1+tan(x))	$12 \tan (x) + 10 = 11 (1 + \tan (x))$
30792	Solve by Graphing	15 log of 2x=60	$15 \log (2 x) = 60$
30793	Solve by Graphing	-16t^2+48t+8=0	$- 16 t^{2} + 48 t + 8 = 0$
30794	Solve by Graphing	2( log base 5 of t)^2-3 log base 5 of t=2	$2 {\log_{5}}^{2} (t) - 3 \log_{5} (t) = 2$
30795	Solve by Graphing	2tan(x)^2+sin(x)^2=1	$2 \tan^{2} (x) + \sin^{2} (x) = 1$
30796	Solve by Graphing	2cot(x)^2sin(x)^2-cos(x)=0	$2 \cot^{2} (x) \sin^{2} (x) - \cos (x) = 0$
30797	Solve by Graphing	2sin(x)^2-sin(x)+7=0	$2 \sin^{2} (x) - \sin (x) + 7 = 0$
30798	Solve by Graphing	2sin(x/4)^2-3cos(x/4)=0	$2 \sin^{2} (\frac{x}{4}) - 3 \cos (\frac{x}{4}) = 0$
30799	Solve by Graphing	2 natural log of x-3=8	$2 \ln (x - 3) = 8$
30800	Solve by Graphing	log base 125 of x=2/3	$\log_{125} (x) = \frac{2}{3}$