Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
45801	Simplify/Condense	sec(x)-1/(sec(x))	$\sec (x) - \frac{1}{\sec (x)}$
45802	Simplify/Condense	(sin(theta))/(1+sin(theta))-(sin(theta))/(1-sin(theta))	$\frac{\sin (θ)}{1 + \sin (θ)} - \frac{\sin (θ)}{1 - \sin (θ)}$
45803	Simplify/Condense	csc(theta)(sin(theta)+cos(theta))	$\csc (θ (\sin (θ) + \cos (θ)))$
45804	Simplify/Condense	1/5 log of x	$\frac{1}{5} \log (x)$
45805	Simplify/Condense	(cos(2x)-cos(4x))/(sin(2x)+sin(4x))	$\frac{\cos (2 x) - \cos (4 x)}{\sin (2 x) + \sin (4 x)}$
45806	Simplify/Condense	1/(cos(theta))+(tan(theta)^2)/(cos(theta))	$\frac{1}{\cos (θ)} + \frac{\tan^{2} (θ)}{\cos (θ)}$
45807	Find the Center and Radius	x^2+y^2-8x-6y+24=0	$x^{2} + y^{2} - 8 x - 6 y + 24 = 0$
45808	Find the Center and Radius	x^2+y^2-8x+9=0	$x^{2} + y^{2} - 8 x + 9 = 0$
45809	Find the Center and Radius	x^2-6x+y^2-8y=0	$x^{2} - 6 x + y^{2} - 8 y = 0$
45810	Find the Center and Radius	x^2-6x+y^2+8y-24=0	$x^{2} - 6 x + y^{2} + 8 y - 24 = 0$
45811	Find the Center and Radius	x^2-2x+y^2-2y-6=0	$x^{2} - 2 x + y^{2} - 2 y - 6 = 0$
45812	Find the Center and Radius	x^2+y^2-4x-4y-92=0	$x^{2} + y^{2} - 4 x - 4 y - 92 = 0$
45813	Find the Center and Radius	x^2+y^2-4x-8y+16=0	$x^{2} + y^{2} - 4 x - 8 y + 16 = 0$
45814	Find the Center and Radius	x^2+y^2-6y-8=0	$x^{2} + y^{2} - 6 y - 8 = 0$
45815	Find the Center and Radius	x^2+y^2-8x+6y+9=0	$x^{2} + y^{2} - 8 x + 6 y + 9 = 0$
45816	Find the Center and Radius	x^2+y^2-8x+2y-19=0	$x^{2} + y^{2} - 8 x + 2 y - 19 = 0$
45817	Find the Center and Radius	x^2+y^2-6x-2y+4=0	$x^{2} + y^{2} - 6 x - 2 y + 4 = 0$
45818	Find the Center and Radius	(x-3)^2+(y+4)^2=121	${(x - 3)}^{2} + {(y + 4)}^{2} = 121$
45819	Find the Center and Radius	(x-3)^2+(y+4)^2=7	${(x - 3)}^{2} + {(y + 4)}^{2} = 7$
45820	Find the Center and Radius	(x-2)^2+(y-4)^2=16	${(x - 2)}^{2} + {(y - 4)}^{2} = 16$
45821	Find the Center and Radius	(x-3)^2+(y+2)^2=36	${(x - 3)}^{2} + {(y + 2)}^{2} = 36$
45822	Find the Center and Radius	16x^2+9y^2=144	$16 x^{2} + 9 y^{2} = 144$
45823	Find the Center and Radius	2(x-4)^2+2(y+1)^2=18	$2 {(x - 4)}^{2} + 2 {(y + 1)}^{2} = 18$
45824	Find the Center and Radius	2(x-4)^2+2y^2=8	$2 {(x - 4)}^{2} + 2 y^{2} = 8$
45825	Find the Center and Radius	(x-4)^2+(y-3)^2=16	${(x - 4)}^{2} + {(y - 3)}^{2} = 16$
45826	Find the Center and Radius	(x-4)^2+(y-8)^2=9	${(x - 4)}^{2} + {(y - 8)}^{2} = 9$
45827	Find the Center and Radius	(x-4)^2+(y+11)^2=49	${(x - 4)}^{2} + {(y + 11)}^{2} = 49$
45828	Find the Center and Radius	(x+5)^2+y^2=9	${(x + 5)}^{2} + y^{2} = 9$
45829	Find the Center and Radius	(x+5)^2+(y-2)^2=4	${(x + 5)}^{2} + {(y - 2)}^{2} = 4$
45830	Find the Center and Radius	(x-1)^2+(y+8)^2=12	${(x - 1)}^{2} + {(y + 8)}^{2} = 12$
45831	Find the Center and Radius	(x-1)^2+(y-2)^2=15	${(x - 1)}^{2} + {(y - 2)}^{2} = 15$
45832	Find the Center and Radius	(x-1)^2+y^2=9	${(x - 1)}^{2} + y^{2} = 9$
45833	Find the Center and Radius	(x-2)^2+(y+7)^2=5	${(x - 2)}^{2} + {(y + 7)}^{2} = 5$
45834	Find the Center and Radius	(x-2)^2+(y+5)^2=36	${(x - 2)}^{2} + {(y + 5)}^{2} = 36$
45835	Find the Center and Radius	x^2+(y+6)^2=36	$x^{2} + {(y + 6)}^{2} = 36$
45836	Find the Center and Radius	x^2+(y-1)^2=49	$x^{2} + {(y - 1)}^{2} = 49$
45837	Find the Center and Radius	x^2+2x+y^2=16y	$x^{2} + 2 x + y^{2} = 16 y$
45838	Find the Center and Radius	x^2+2x+y^2=55+10y	$x^{2} + 2 x + y^{2} = 55 + 10 y$
45839	Find the Center and Radius	x^2+(y-3)^2=8	$x^{2} + {(y - 3)}^{2} = 8$
45840	Find the Center and Radius	4(x-5)^2+4y^2=16	$4 {(x - 5)}^{2} + 4 y^{2} = 16$
45841	Find the Center and Radius	3x^2+3y^2-24x+12y-15=0	$3 x^{2} + 3 y^{2} - 24 x + 12 y - 15 = 0$
45842	Find the Center and Radius	4(x-3)^2+4y^2=4	$4 {(x - 3)}^{2} + 4 y^{2} = 4$
45843	Find the Center and Radius	2x^2+2y^2-16x+8y-10=0	$2 x^{2} + 2 y^{2} - 16 x + 8 y - 10 = 0$
45844	Find the Center and Radius	2x^2+2y^2-2x-2y=7	$2 x^{2} + 2 y^{2} - 2 x - 2 y = 7$
45845	Find the Center and Radius	(x-9)^2+(y-6)^2=100	${(x - 9)}^{2} + {(y - 6)}^{2} = 100$
45846	Find the Center and Radius	2x^2+2y^2-14x+18y=7	$2 x^{2} + 2 y^{2} - 14 x + 18 y = 7$
45847	Find the Center and Radius	9x^2+9y^2=25	$9 x^{2} + 9 y^{2} = 25$
45848	Find the Center and Radius	9x^2+25y^2=225	$9 x^{2} + 25 y^{2} = 225$
45849	Find the Center and Radius	x^2+y^2+4x-6y+8=0	$x^{2} + y^{2} + 4 x - 6 y + 8 = 0$
45850	Find the Center and Radius	x^2+y^2+4x-12y+4=0	$x^{2} + y^{2} + 4 x - 12 y + 4 = 0$
45851	Find the Center and Radius	x^2+y^2+4x-2y+1=0	$x^{2} + y^{2} + 4 x - 2 y + 1 = 0$
45852	Find the Center and Radius	x^2+y^2+2x-6y+19=0	$x^{2} + y^{2} + 2 x - 6 y + 19 = 0$
45853	Find the Center and Radius	x^2+y^2+2y=6y+32	$x^{2} + y^{2} + 2 y = 6 y + 32$
45854	Find the Center and Radius	x^2+y^2+3x-2y-1=0	$x^{2} + y^{2} + 3 x - 2 y - 1 = 0$
45855	Find the Center and Radius	x^2+y^2+4x-8y=-4	$x^{2} + y^{2} + 4 x - 8 y = - 4$
45856	Find the Center and Radius	x^2+y^2+6x=0	$x^{2} + y^{2} + 6 x = 0$
45857	Find the Center and Radius	x^2+y^2+6x-2y+9=0	$x^{2} + y^{2} + 6 x - 2 y + 9 = 0$
45858	Find the Center and Radius	x^2+y^2+6x-4y+3=0	$x^{2} + y^{2} + 6 x - 4 y + 3 = 0$
45859	Find the Center and Radius	x^2+y^2+14x-14y=-73	$x^{2} + y^{2} + 14 x - 14 y = - 73$
45860	Find the Center and Radius	x^2+y^2+20x+18y+156=0	$x^{2} + y^{2} + 20 x + 18 y + 156 = 0$
45861	Find the Center and Radius	x^2+y^2+2x-4y=0	$x^{2} + y^{2} + 2 x - 4 y = 0$
45862	Find the Center and Radius	x^2+y^2+2x+6y=-1	$x^{2} + y^{2} + 2 x + 6 y = - 1$
45863	Find the Center and Radius	x^2+4x-6+y^2-6x=8	$x^{2} + 4 x - 6 + y^{2} - 6 x = 8$
45864	Find the Center and Radius	x^2+4x+y^2=5	$x^{2} + 4 x + y^{2} = 5$
45865	Find the Center and Radius	x^2+y^2+10x-6y-30=0	$x^{2} + y^{2} + 10 x - 6 y - 30 = 0$
45866	Find the Center and Radius	x^2+9y^2+2x+18y-26=0	$x^{2} + 9 y^{2} + 2 x + 18 y - 26 = 0$
45867	Find the Center and Radius	x^2+y^2=-4	$x^{2} + y^{2} = - 4$
45868	Find the Center and Radius	x^2+y^2-1=0	$x^{2} + y^{2} - 1 = 0$
45869	Find the Center and Radius	x^2+y^2-10x+14y+10=0	$x^{2} + y^{2} - 10 x + 14 y + 10 = 0$
45870	Find the Center and Radius	x^2+y^2+8x-4y=16	$x^{2} + y^{2} + 8 x - 4 y = 16$
45871	Find the Center and Radius	x^2+y^2-4x+6y-23=0	$x^{2} + y^{2} - 4 x + 6 y - 23 = 0$
45872	Find the Center and Radius	x^2+y^2-2x-8y+16=0	$x^{2} + y^{2} - 2 x - 8 y + 16 = 0$
45873	Find the Center and Radius	x^2+y^2-2x-15=0	$x^{2} + y^{2} - 2 x - 15 = 0$
45874	Find the Center and Radius	x^2+y^2-2x+2y-47=0	$x^{2} + y^{2} - 2 x + 2 y - 47 = 0$
45875	Find the Center and Radius	x^2+y^2-121=0	$x^{2} + y^{2} - 121 = 0$
45876	Find the Center and Radius	x^2+y^2-14x+12y=36	$x^{2} + y^{2} - 14 x + 12 y = 36$
45877	Find the Roots/Zeros Using the Rational Roots Test	x^4-x^3+2x^2-4x-8=0	$x^{4} - x^{3} + 2 x^{2} - 4 x - 8 = 0$
45878	Find the Roots/Zeros Using the Rational Roots Test	2x^3-17x^2-11x-1=0	$2 x^{3} - 17 x^{2} - 11 x - 1 = 0$
45879	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^5+7x^4+2x^3+14x^2+x+7	$f (x) = x^{5} + 7 x^{4} + 2 x^{3} + 14 x^{2} + x + 7$
45880	Find f(g(x))	f(x)=4x+3 , g(x)=x^3-2	$f (x) = 4 x + 3$ , $g (x) = x^{3} - 2$
45881	Find f(g(x))	f(x)=5x+3g(x)=x-6	$f (x) = 5 x + 3 g (x) = x - 6$
45882	Find f(g(x))	f(x)=3-2x , g(x)=3x^2+2	$f (x) = 3 - 2 x$ , $g (x) = 3 x^{2} + 2$
45883	Find the Derivative - d/d@VAR	f(x)=x^3-5x	$f (x) = x^{3} - 5 x$
45884	Find the Derivative - d/d@VAR	f(x)=x^2-4 square root of x+3	$f (x) = x^{2} - 4 \sqrt{x} + 3$
45885	Find the Derivative - d/d@VAR	f(x)=sec(4x^2+x)^3	$f (x) = \sec^{3} (4 x^{2} + x)$
45886	Find the Derivative - d/d@VAR	f(x)=2^(x^9)	$f (x) = 2^{x^{9}}$
45887	Find the Derivative - d/d@VAR	f(x)=2x square root of x-4	$f (x) = 2 x \sqrt{x - 4}$
45888	Find the Derivative - d/d@VAR	f(x)=-2 fourth root of x	$f (x) = - 2 \sqrt[4]{x}$
45889	Find the Derivative - d/d@VAR	f(x) = square root of x^2-4x+3	$f (x) = \sqrt{x^{2} - 4 x + 3}$
45890	Find the Derivative - d/d@VAR	f(x)=arcsin( square root of 1-x^2)	$f (x) = \arcsin (\sqrt{1 - x^{2}})$
45891	Find the Derivative - d/d@VAR	f(x) = square root of -2x^2+1	$f (x) = \sqrt{- 2 x^{2} + 1}$
45892	Find the Derivative - d/d@VAR	f(x)=(x^5-2)^20*f'(x)	$f (x) = {(x^{5} - 2)}^{20} \cdot f' (x)$
45893	Find the Derivative - d/d@VAR	f(x)=1/(20x^3)	$f (x) = \frac{1}{20 x^{3}}$
45894	Find the Derivative - d/d@VAR	f(x)=( square root of x+sin(x)-6x)^5	$f (x) = {(\sqrt{x} + \sin (x) - 6 x)}^{5}$
45895	Find the Derivative - d/d@VAR	f(x)=(2x^3+3)^4	$f (x) = {(2 x^{3} + 3)}^{4}$
45896	Find the Derivative - d/d@VAR	f(x)=(1+x)/(e^(cos(x)))	$f (x) = \frac{1 + x}{e^{\cos (x)}}$
45897	Find the Derivative - d/d@VAR	f(x)=-10/x	$f (x) = - \frac{10}{x}$
45898	Find the Derivative - d/d@VAR	f(x)=(6x^2-2x+9)^7	$f (x) = {(6 x^{2} - 2 x + 9)}^{7}$
45899	Find the Domain	3y-xy=2	$3 y - x y = 2$
45900	Find the Domain	y = log of x^3-36x	$y = \log (x^{3} - 36 x)$