Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
44901	Find the Domain	(x^2+x-30)/(x^2-x-20)	$\frac{x^{2} + x - 30}{x^{2} - x - 20}$
44902	Find the Domain	square root of 4x^2-16x	$\sqrt{4 x^{2} - 16 x}$
44903	Expand Using De Moivre's Theorem	(-2-2i)^4	${(- 2 - 2 i)}^{4}$
44904	Determine if Odd, Even, or Neither	-x^7+4x^5+8x^3-x	$- x^{7} + 4 x^{5} + 8 x^{3} - x$
44905	Find the Inverse	cube root of x+4	$\sqrt[3]{x} + 4$
44906	Find the Inverse	cube root of x+7	$\sqrt[3]{x + 7}$
44907	Find the Domain	y = square root of 2x-9	$y = \sqrt{2 x - 9}$
44908	Find the Domain	y=(x(x-3))/((x+4)(x-7))	$y = \frac{x (x - 3)}{(x + 4) (x - 7)}$
44909	Find the Roots (Zeros)	square root of 3cos(2x)=2sin(x)cos(2x)	$\sqrt{3} \cos (2 x) = 2 \sin (x) \cos (2 x)$
44910	Find the Roots (Zeros)	125x^6-25x^4-20x^2+4=0	$125 x^{6} - 25 x^{4} - 20 x^{2} + 4 = 0$
44911	Find the Roots (Zeros)	12x^3+16x^2-5x-3=0	$12 x^{3} + 16 x^{2} - 5 x - 3 = 0$
44912	Find the Remainder	(x^4-3x^2+2x-1)/(x-1)	$\frac{x^{4} - 3 x^{2} + 2 x - 1}{x - 1}$
44913	Find the Roots (Zeros)	x^3-10x^2+33x-34=0	$x^{3} - 10 x^{2} + 33 x - 34 = 0$
44914	Find the Roots (Zeros)	x^3-4x^2-7x+28=0	$x^{3} - 4 x^{2} - 7 x + 28 = 0$
44915	Find the Roots (Zeros)	x^4-13x^2+42=0	$x^{4} - 13 x^{2} + 42 = 0$
44916	Find the Roots (Zeros)	x^4-20x^2+64=0	$x^{4} - 20 x^{2} + 64 = 0$
44917	Find the Roots (Zeros)	y=256x^4+768x^3+864x^2+432x+81	$y = 256 x^{4} + 768 x^{3} + 864 x^{2} + 432 x + 81$
44918	Find the Roots (Zeros)	y=x^4+3x^3-3x^2-11x-6	$y = x^{4} + 3 x^{3} - 3 x^{2} - 11 x - 6$
44919	Find the Roots (Zeros)	y=x^4-4x^3-4x^2-4x-5	$y = x^{4} - 4 x^{3} - 4 x^{2} - 4 x - 5$
44920	Find the Derivative - d/d@VAR	f(x)=3x^4-2x^6+23	$f (x) = 3 x^{4} - 2 x^{6} + 23$
44921	Find the Derivative - d/d@VAR	f(x)=4xe^xcsc(x)	$f (x) = 4 x e^{x} \csc (x)$
44922	Find the Derivative - d/d@VAR	f(x)=7x+9	$f (x) = 7 x + 9$
44923	Find the Derivative - d/d@VAR	H(x)=(2x+7)^6	$H (x) = {(2 x + 7)}^{6}$
44924	Find g(f(x))	f(x)=(x-5)/8 , g(x)=8x+5	$f (x) = \frac{x - 5}{8}$ , $g (x) = 8 x + 5$
44925	Write in Standard Form	-t(-4t^3+8t^2)	$- t (- 4 t^{3} + 8 t^{2})$
44926	Convert to a Simplified Fraction	square root of 108	$\sqrt{108}$
44927	Convert to a Simplified Fraction	square root of 194	$\sqrt{194}$
44928	Convert to a Simplified Fraction	square root of 97	$\sqrt{97}$
44929	Convert to Polar Coordinates	(6,-4)	$(6, - 4)$
44930	Convert to Polar Coordinates	(6,pi/4)	$(6, \frac{π}{4})$
44931	Convert to Polar Coordinates	(4,30 degrees )	$(4, 30 °)$
44932	Convert to Polar Coordinates	(3 square root of 2,(3pi)/4)	$(3 \sqrt{2}, \frac{3 π}{4})$
44933	Convert to Polar Coordinates	(4,-12)	$(4, - 12)$
44934	Convert to Polar Coordinates	(5,(7pi)/4)	$(5, \frac{7 π}{4})$
44935	Convert to Polar Coordinates	(-5,(7pi)/6)	$(- 5, \frac{7 π}{6})$
44936	Convert to Polar Coordinates	(5,pi)	$(5, π)$
44937	Convert to Polar Coordinates	(5,150 degrees )	$(5, 150 °)$
44938	Convert to Polar Coordinates	(-2,60 degrees )	$(- 2, 60 °)$
44939	Convert to Polar Coordinates	(2,-7)	$(2, - 7)$
44940	Convert to Polar Coordinates	(2.5,135 degrees )	$(2.5, 135 °)$
44941	Convert to Polar Coordinates	(3,45 degrees )	$(3, 45 °)$
44942	Convert to Polar Coordinates	(-13,4)	$(- 13, 4)$
44943	Convert to Polar Coordinates	(1,-8)	$(1, - 8)$
44944	Convert to Polar Coordinates	(11,0)	$(11, 0)$
44945	Convert to Polar Coordinates	(-12,4 square root of 3)	$(- 12, 4 \sqrt{3})$
44946	Convert to Polar Coordinates	(2,(11pi)/12)	$(2, \frac{11 π}{12})$
44947	Find the Domain and Range	y=-9tan(x)	$y = - 9 \tan (x)$
44948	Find the Domain and Range	y=-5sin(x)	$y = - 5 \sin (x)$
44949	Find the Domain and Range	y=sin(-7x)	$y = \sin (- 7 x)$
44950	Find the Domain and Range	x^2-y^2=16	$x^{2} - y^{2} = 16$
44951	Find the Domain and Range	f(theta)=cos(theta)	$f (θ) = \cos (θ)$
44952	Find the Domain and Range	y=1/(x-4)	$y = \frac{1}{x - 4}$
44953	Find the Domain and Range	(y^2)/4-(x^2)/25=1	$\frac{y^{2}}{4} - \frac{x^{2}}{25} = 1$
44954	Expand the Trigonometric Expression	tan(theta-pi/4)	$\tan (θ - \frac{π}{4})$
44955	Expand the Trigonometric Expression	tan(90 degrees -theta)	$\tan (90 ° - θ)$
44956	Expand the Trigonometric Expression	cos(x-(11pi)/6)	$\cos (x - \frac{11 π}{6})$
44957	Expand the Trigonometric Expression	sin(arccos(u)-arctan(v))	$\sin (\arccos (u) - \arctan (v))$
44958	Find the Center and Radius	x^2+y^2-10x-4y+28=0	$x^{2} + y^{2} - 10 x - 4 y + 28 = 0$
44959	Find the Center and Radius	x^2+y^2-10x-6y+18=0	$x^{2} + y^{2} - 10 x - 6 y + 18 = 0$
44960	Find the Center and Radius	x^2+y^2-14x+2y=-14	$x^{2} + y^{2} - 14 x + 2 y = - 14$
44961	Find the Center and Radius	x^2+y^2-18x-18y+53=0	$x^{2} + y^{2} - 18 x - 18 y + 53 = 0$
44962	Find the Center and Radius	x^2+y^2-49=0	$x^{2} + y^{2} - 49 = 0$
44963	Find the Center and Radius	x^2+y^2+8x-6y-11=0	$x^{2} + y^{2} + 8 x - 6 y - 11 = 0$
44964	Find the Center and Radius	x^2+y^2=19	$x^{2} + y^{2} = 19$
44965	Find the Center and Radius	x^2+6x+y^2=14y	$x^{2} + 6 x + y^{2} = 14 y$
44966	Find the Center and Radius	x^2+y^2+18x-18y+113=0	$x^{2} + y^{2} + 18 x - 18 y + 113 = 0$
44967	Find the Center and Radius	x^2+4x+y^2-10y+13=0	$x^{2} + 4 x + y^{2} - 10 y + 13 = 0$
44968	Find the Center and Radius	x^2+y^2+14x-2y=-1	$x^{2} + y^{2} + 14 x - 2 y = - 1$
44969	Find the Center and Radius	-6x+x^2=97+10y-y^2	$- 6 x + x^{2} = 97 + 10 y - y^{2}$
44970	Find the Center and Radius	8x+32y+y^2=-263-x^2	$8 x + 32 y + y^{2} = - 263 - x^{2}$
44971	Find the Center and Radius	9x^2+4y^2+54x-8y+49=0	$9 x^{2} + 4 y^{2} + 54 x - 8 y + 49 = 0$
44972	Find the Center and Radius	9x^2=81-9y^2	$9 x^{2} = 81 - 9 y^{2}$
44973	Find the Center and Radius	2(x-5)^2+2y^2=32	$2 {(x - 5)}^{2} + 2 y^{2} = 32$
44974	Find the Center and Radius	2x^2+2y^2-3x=0	$2 x^{2} + 2 y^{2} - 3 x = 0$
44975	Find the Center and Radius	3x^2+2y^2+24x-4y+26=0	$3 x^{2} + 2 y^{2} + 24 x - 4 y + 26 = 0$
44976	Find the Center and Radius	4x^2+40x+4y^2=0	$4 x^{2} + 40 x + 4 y^{2} = 0$
44977	Find the Center and Radius	4x^2+16x+4y^2+16y+16=0	$4 x^{2} + 16 x + 4 y^{2} + 16 y + 16 = 0$
44978	Find the Center and Radius	x^2+(y-3)^2=3	$x^{2} + {(y - 3)}^{2} = 3$
44979	Find the Center and Radius	(x-2)^2+(y+1)^2=10	${(x - 2)}^{2} + {(y + 1)}^{2} = 10$
44980	Find the Center and Radius	(x+4)^2+y^2=16	${(x + 4)}^{2} + y^{2} = 16$
44981	Find the Center and Radius	(x-4)^2+(y+2)^2=32	${(x - 4)}^{2} + {(y + 2)}^{2} = 32$
44982	Find the Center and Radius	(x-3)^2+(y-5)^2=8	${(x - 3)}^{2} + {(y - 5)}^{2} = 8$
44983	Find the Center and Radius	x^2+y^2-7x+3y-4=0	$x^{2} + y^{2} - 7 x + 3 y - 4 = 0$
44984	Find the Center and Radius	x^2+y^2-64=0	$x^{2} + y^{2} - 64 = 0$
44985	Find the Center and Radius	x^2-6x+y^2=0	$x^{2} - 6 x + y^{2} = 0$
44986	Simplify/Condense	1/5(3 log of x+1+2 log of x-1- log of 7)	$\frac{1}{5} (3 \log (x + 1) + 2 \log (x - 1) - \log (7))$
44987	Find the Center and Radius	((x+3)^2)/25+((y-1)^2)/16=1	$\frac{{(x + 3)}^{2}}{25} + \frac{{(y - 1)}^{2}}{16} = 1$
44988	Find the Center and Radius	(x+3)^2+(y+8)^2=81	${(x + 3)}^{2} + {(y + 8)}^{2} = 81$
44989	Write in Standard Form	16y^2-x^2+2x+64y+31=0	$16 y^{2} - x^{2} + 2 x + 64 y + 31 = 0$
44990	Write in Standard Form	3x^2+3y^2-6x+5y=0	$3 x^{2} + 3 y^{2} - 6 x + 5 y = 0$
44991	Write in Standard Form	-4x^2+8x+y-3=0	$- 4 x^{2} + 8 x + y - 3 = 0$
44992	Write in Standard Form	9x^2+4y^2-36x-32y+64=0	$9 x^{2} + 4 y^{2} - 36 x - 32 y + 64 = 0$
44993	Write in Standard Form	9x^2+9y^2-6x+24y=19	$9 x^{2} + 9 y^{2} - 6 x + 24 y = 19$
44994	Write in Standard Form	5x^2+5y^2=125	$5 x^{2} + 5 y^{2} = 125$
44995	Write in Standard Form	x^2+5y^2+x-35y+56.5=0	$x^{2} + 5 y^{2} + x - 35 y + 56.5 = 0$
44996	Write in Standard Form	81x^2-y^2-810x-12y+1998=0	$81 x^{2} - y^{2} - 810 x - 12 y + 1998 = 0$
44997	Write in Standard Form	9x^2-4y^2-18x+24y-63=0	$9 x^{2} - 4 y^{2} - 18 x + 24 y - 63 = 0$
44998	Write in Standard Form	x^2+10xy+y^2-8=0	$x^{2} + 10 x y + y^{2} - 8 = 0$
44999	Write in Standard Form	x^2-4x-12y-32=0	$x^{2} - 4 x - 12 y - 32 = 0$
45000	Write in Standard Form	x^2-4x-y^2-6y+4=0	$x^{2} - 4 x - y^{2} - 6 y + 4 = 0$