Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
138801	Convert to Rectangular	r=8sec(theta)	$r = 8 \sec (θ)$
138802	Convert to Rectangular	r=8sin(theta)	$r = 8 \sin (θ)$
138803	Convert to Rectangular	6(cos(0)+isin(0))	$6 (\cos (0) + i \sin (0))$
138804	Convert to Rectangular	4(cos(75)+isin(75))	$4 (\cos (75) + i \sin (75))$
138805	Convert to Rectangular	5(cos(0)+isin(0))	$5 (\cos (0) + i \sin (0))$
138806	Convert to Rectangular	5(cos(pi/6)+isin(pi/6))	$5 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))$
138807	Convert to Rectangular	6(cos((2pi)/5)+isin((2pi)/5))	$6 (\cos (\frac{2 π}{5}) + i \sin (\frac{2 π}{5}))$
138808	Convert to Rectangular	64(cos(150)+isin(150))	$64 (\cos (150) + i \sin (150))$
138809	Convert to Rectangular	7(cos((7pi)/6)+isin((7pi)/6))	$7 (\cos (\frac{7 π}{6}) + i \sin (\frac{7 π}{6}))$
138810	Convert to Rectangular	9(cos(pi/2)+isin(pi/2))	$9 (\cos (\frac{π}{2}) + i \sin (\frac{π}{2}))$
138811	Determine if @POINT is a Solution	y=x-9/6 , (0,0)	$y = x - \frac{9}{6}$ , $(0, 0)$
138812	Determine if @POINT is a Solution	y>1/5x+6	$y > \frac{1}{5} x + 6$
138813	Determine if @POINT is a Solution	y<6y>2	$y < 6 y > 2$
138814	Determine if @POINT is a Solution	y<x^2-2x-8	$y < x^{2} - 2 x - 8$
138815	Determine if @POINT is a Solution	(4,5),4x-y=213x-4y=32	$(4, 5) \cdot 4 x - y = 213 x - 4 y = 32$
138816	Determine if @POINT is a Solution	b>11.3	$b > 11.3$
138817	Find the Perpendicular Line	(-2,-2) , y=-1/2x-5	$(- 2, - 2)$ , $y = - \frac{1}{2} x - 5$
138818	Find the Perpendicular Line	(2,2) , y=-1/5x+5	$(2, 2)$ , $y = - \frac{1}{5} x + 5$
138819	Find the Perpendicular Line	(3,2) , y=x+5	$(3, 2)$ , $y = x + 5$
138820	Find the Perpendicular Line	4x+y=8 (4,3)	$4 x + y = 8$ $(4, 3)$
138821	Find the Perpendicular Line	y=-2/7x+9 (4,-6)	$y = - \frac{2}{7} x + 9$ $(4, - 6)$
138822	Find the Perpendicular Line	y=3/5x+10 (15,-5)	$y = \frac{3}{5} x + 10$ $(15, - 5)$
138823	Write as a Single Logarithm	log base 2 of 288-1/2* log base 2 of 81	$\log_{2} (288) - \frac{1}{2} \cdot \log_{2} (81)$
138824	Reduce	(y^2+5y+6)/(y^2+7y+12)	$\frac{y^{2} + 5 y + 6}{y^{2} + 7 y + 12}$
138825	Reduce	(y^2+4y+4)/(3y^2+5y-2)	$\frac{y^{2} + 4 y + 4}{3 y^{2} + 5 y - 2}$
138826	Reduce	cube root of 144/y	$\sqrt[3]{\frac{144}{y}}$
138827	Reduce	(x-5)/(5-x)	$\frac{x - 5}{5 - x}$
138828	Reduce	(x^2-9)/(x^2-6x+9)	$\frac{x^{2} - 9}{x^{2} - 6 x + 9}$
138829	Reduce	(x^3-x^2)/(x^3)=	$\frac{x^{3} - x^{2}}{x^{3}} =$
138830	Reduce	(x^3-x^2)/(x^4)=	$\frac{x^{3} - x^{2}}{x^{4}} =$
138831	Reduce	x/(x^2-4x)	$\frac{x}{x^{2} - 4 x}$
138832	Reduce	(p^2-4p-32)/(p+4)	$\frac{p^{2} - 4 p - 32}{p + 4}$
138833	Reduce	(k^2-p^2)/(k+p)	$\frac{k^{2} - p^{2}}{k + p}$
138834	Find Trig Functions Using Identities	(cos(x))/(sec(x)+tan(x))	$\frac{\cos (x)}{\sec (x) + \tan (x)}$
138835	Find Trig Functions Using Identities	(sin(x))/(1-cos(x))	$\frac{\sin (x)}{1 - \cos (x)}$
138836	Find Trig Functions Using Identities	(tan(2x))/(tan(x))	$\frac{\tan (2 x)}{\tan (x)}$
138837	Find Trig Functions Using Identities	1+cos(18x)	$1 + \cos (18 x)$
138838	Find Trig Functions Using Identities	(1+sin(t))/(cos(t))=(cos(t))/(1-sin(t))	$\frac{1 + \sin (t)}{\cos (t)} = \frac{\cos (t)}{1 - \sin (t)}$
138839	Find Trig Functions Using Identities	1/4cos(x)^2-1/8	$\frac{1}{4} \cos^{2} (x) - \frac{1}{8}$
138840	Reduce	(9b^2-3b)/(3b)	$\frac{9 b^{2} - 3 b}{3 b}$
138841	Reduce	(a+4)/(a^2-16)	$\frac{a + 4}{a^{2} - 16}$
138842	Reduce	(a^2-4)/(a^2+2a)	$\frac{a^{2} - 4}{a^{2} + 2 a}$
138843	Reduce	(6a^2)/(5b^2)*(45b^3)/(18a^3)	$\frac{6 a^{2}}{5 b^{2}} \cdot \frac{45 b^{3}}{18 a^{3}}$
138844	Reduce	(75a^2b)/(25ab^2)	$\frac{75 a^{2} b}{25 a b^{2}}$
138845	Reduce	(6t-6)/(t^2-1)	$\frac{6 t - 6}{t^{2} - 1}$
138846	Reduce	(3y-3)/(1-y)	$\frac{3 y - 3}{1 - y}$
138847	Reduce	(4x-20)/(x^2-25)	$\frac{4 x - 20}{x^{2} - 25}$
138848	Reduce	((9n+1)!)/((9n)!)	$\frac{(9 n + 1)!}{(9 n)!}$
138849	Reduce	((x^2y^3)^(1/3))/( cube root of x^2y)	$\frac{{(x^{2} y^{3})}^{\frac{1}{3}}}{\sqrt[3]{x^{2} y}}$
138850	Reduce	(((n-15)/(9n))/(15-n))/(3n^5)	$\frac{\frac{\frac{n - 15}{9 n}}{15 - n}}{3 n^{5}}$
138851	Reduce	((3n+1)!)/((3n)!)	$\frac{(3 n + 1)!}{(3 n)!}$
138852	Reduce	( log base 5 of m)/( log base 15 of m)	$\frac{\log_{5} (m)}{\log_{15} (m)}$
138853	Reduce	(2(3c-14))/(2c+7)	$\frac{2 (3 c - 14)}{2 c + 7}$
138854	Reduce	(18x)/(6-12x)	$\frac{18 x}{6 - 12 x}$
138855	Reduce	(2x+y)/(2x^3-5x^2y-xy^2+y^3)	$\frac{2 x + y}{2 x^{3} - 5 x^{2} y - x y^{2} + y^{3}}$
138856	Find Trig Functions Using Identities	sin(x)=-5/13	$\sin (x) = - \frac{5}{13}$
138857	Find Trig Functions Using Identities	sin(x)-sin(x)cos(x)^2=sin(x)^3	$\sin (x) - \sin (x) \cos^{2} (x) = \sin^{3} (x)$
138858	Find Trig Functions Using Identities	sin(2x)^4	$\sin^{4} (2 x)$
138859	Find Trig Functions Using Identities	sin(2x)-cos(2x)	$\sin (2 x) - \cos (2 x)$
138860	Find Trig Functions Using Identities	cos(x)(sec(x)+csc(x)cot(x))	$\cos (x (\sec (x) + \csc (x) \cot (x)))$
138861	Find Trig Functions Using Identities	sin(arctan(u)+arccos(v))	$\sin (\arctan (u) + \arccos (v))$
138862	Find Trig Functions Using Identities	1-sin(x)	$1 - \sin (x)$
138863	Find Trig Functions Using Identities	(sin(2x))/(1-cos(2x))	$\frac{\sin (2 x)}{1 - \cos (2 x)}$
138864	Find Trig Functions Using Identities	cos(2t+1)-cos(3t)	$\cos (2 t + 1) - \cos (3 t)$
138865	Find Trig Functions Using Identities	cos(2u)=cos(u)^2-sin(u)^2	$\cos (2 u) = \cos^{2} (u) - \sin^{2} (u)$
138866	Convert to a Simplified Fraction	square root of 75	$\sqrt{75}$
138867	Convert to a Simplified Fraction	square root of 80	$\sqrt{80}$
138868	Solve Using a Matrix by Elimination	3x+4y=4 , 6x+8y=8	$3 x + 4 y = 4$ , $6 x + 8 y = 8$
138869	Solve Using a Matrix by Elimination	3x+4y=16x+8y=2	$3 x + 4 y = 16 x + 8 y = 2$
138870	Solve Using a Matrix by Elimination	2x-6y=103x-9y=15	$2 x - 6 y = 103 x - 9 y = 15$
138871	Solve Using a Matrix by Elimination	3w+4x+7y+7z=-13w+3x+5y+6z=13w+x+y+4z=5	$3 w + 4 x + 7 y + 7 z = - 13 w + 3 x + 5 y + 6 z = 13 w + x + y + 4 z = 5$
138872	Solve Using a Matrix by Elimination	2x-3y=35x-7y=9	$2 x - 3 y = 35 x - 7 y = 9$
138873	Solve Using a Matrix by Elimination	3x-4y=1-6x+8y=-2	$3 x - 4 y = 1 - 6 x + 8 y = - 2$
138874	Solve Using a Matrix by Elimination	3x-y+2z=6-x+y=2x-2z=-5	$3 x - y + 2 z = 6 - x + y = 2 x - 2 z = - 5$
138875	Solve Using a Matrix by Elimination	3x-4y=5-6x+8y=-10	$3 x - 4 y = 5 - 6 x + 8 y = - 10$
138876	Solve Using a Matrix by Elimination	3x-y-2z=-3x+2y+z=-72x-y+5z=12	$3 x - y - 2 z = - 3 x + 2 y + z = - 72 x - y + 5 z = 12$
138877	Solve Using a Matrix by Elimination	-2(x-y)=x-2y-7 , 6y=-30-2x	$- 2 (x - y) = x - 2 y - 7$ , $6 y = - 30 - 2 x$
138878	Solve Using a Matrix by Elimination	-25x-3y=-12210x+y=49	$- 25 x - 3 y = - 12210 x + y = 49$
138879	Solve Using a Matrix by Elimination	2/x+2/y-2/z=-111/x-10/y+5/z=75/x+2/y-1/z=1	$\frac{2}{x} + \frac{2}{y} - \frac{2}{z} = - 1 \frac{11}{x} - \frac{10}{y} + \frac{5}{z} = 7 \frac{5}{x} + \frac{2}{y} - \frac{1}{z} = 1$
138880	Solve Using a Matrix by Elimination	3/x+2/y-2/z=-113/x-10/y+5/z=77/x+2/y-1/z=1	$\frac{3}{x} + \frac{2}{y} - \frac{2}{z} = - 1 \frac{13}{x} - \frac{10}{y} + \frac{5}{z} = 7 \frac{7}{x} + \frac{2}{y} - \frac{1}{z} = 1$
138881	Solve Using a Matrix by Elimination	2x+4y+z=1x-2y-3z=2x+y-z=-1	$2 x + 4 y + z = 1 x - 2 y - 3 z = 2 x + y - z = - 1$
138882	Solve Using a Matrix by Elimination	9x-2y=123x+4y=18	$9 x - 2 y = 123 x + 4 y = 18$
138883	Solve Using a Matrix by Elimination	7x-2y=3 , -1/2x+3y=8	$7 x - 2 y = 3$ , $- \frac{1}{2} x + 3 y = 8$
138884	Solve Using a Matrix by Elimination	x+2y=z+6 , x=3+y-z , x+y+6z=24	$x + 2 y = z + 6$ , $x = 3 + y - z$ , $x + y + 6 z = 24$
138885	Solve Using a Matrix by Elimination	x+5y=11 x-y=5	$x + 5 y = 11$ $x - y = 5$
138886	Solve Using a Matrix by Elimination	x+4y-z=4 , 2x+5y-8z=15 , x+3y-3z=1	$x + 4 y - z = 4$ , $2 x + 5 y - 8 z = 15$ , $x + 3 y - 3 z = 1$
138887	Solve Using a Matrix by Elimination	x+4y=83x+12y=24	$x + 4 y = 83 x + 12 y = 24$
138888	Solve Using a Matrix by Elimination	x+2y=43x+6y=12	$x + 2 y = 43 x + 6 y = 12$
138889	Solve Using a Matrix by Elimination	x+3y=z+15 , x=-3+y-z , x+y+7z=13	$x + 3 y = z + 15$ , $x = - 3 + y - z$ , $x + y + 7 z = 13$
138890	Solve Using a Matrix by Elimination	x+3y+4z=112x+3y+2z=73x-2y+z=1	$x + 3 y + 4 z = 112 x + 3 y + 2 z = 73 x - 2 y + z = 1$
138891	Solve Using a Matrix by Elimination	5x-3y=18 , 2x+7y=-1	$5 x - 3 y = 18$ , $2 x + 7 y = - 1$
138892	Solve Using a Matrix by Elimination	-4x-5y-z=18-2x-5y-2z=12-2x+5y+2z=4	$- 4 x - 5 y - z = 18 - 2 x - 5 y - 2 z = 12 - 2 x + 5 y + 2 z = 4$
138893	Solve Using a Matrix by Elimination	5x+4y+z=-242x-4y-z=-44x+y+2z=-10	$5 x + 4 y + z = - 242 x - 4 y - z = - 44 x + y + 2 z = - 10$
138894	Solve Using a Matrix by Elimination	x+y-z=-22x-y+z=11-x+4y-3z=1	$x + y - z = - 22 x - y + z = 11 - x + 4 y - 3 z = 1$
138895	Solve Using a Matrix by Elimination	x+y=5x-y=-1	$x + y = 5 x - y = - 1$
138896	Solve Using a Matrix by Elimination	x+y=6 y+z=0 x+y-z=4	$x + y = 6$ $y + z = 0$ $x + y - z = 4$
138897	Solve Using a Matrix by Elimination	x-5y+2z=13x-4y+2z=-1	$x - 5 y + 2 z = 13 x - 4 y + 2 z = - 1$
138898	Solve Using a Matrix by Elimination	x-6y+2z=13x-5y+3z=-1	$x - 6 y + 2 z = 13 x - 5 y + 3 z = - 1$
138899	Solve Using a Matrix by Elimination	-x+y+z=-1-x+5y-23z=-297x-6y-13z=0	$- x + y + z = - 1 - x + 5 y - 23 z = - 297 x - 6 y - 13 z = 0$
138900	Solve Using a Matrix by Elimination	x+y=1x-y=0	$x + y = 1 x - y = 0$