Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
49901	Solve the System of @WORD	x^2+x>=6	$x^{2} + x \geq 6$
49902	Solve the System of @WORD	x^2-2x-8<0	$x^{2} - 2 x - 8 < 0$
49903	Solve the System of @WORD	(3pi)/2<theta<2pi	$\frac{3 π}{2} < θ < 2 π$
49904	Convert to Interval Notation	pi/2<theta<pi	$\frac{π}{2} < θ < π$
49905	Convert to Interval Notation	7/(x+3)>=1/(x+3)	$\frac{7}{x + 3} \geq \frac{1}{x + 3}$
49906	Convert to Interval Notation	\|5-2x\|>=9	$\| 5 - 2 x \| \geq 9$
49907	Convert to Interval Notation	\|5x-5\|<-15	$\| 5 x - 5 \| < - 15$
49908	Convert to Interval Notation	0<=x<=pi	$0 \leq x \leq π$
49909	Convert to Interval Notation	square root of 2sin(x)+ square root of 2cos(x)>0	$\sqrt{2} \sin (x) + \sqrt{2} \cos (x) > 0$
49910	Convert to Interval Notation	\|2x-1\|<11	$\| 2 x - 1 \| < 11$
49911	Find the Sum of the Series	1-1/3+1/9-1/27+1/81	$1 - \frac{1}{3} + \frac{1}{9} - \frac{1}{27} + \frac{1}{81}$
49912	Find the Asymptotes	3cot(2x)-4	$3 \cot (2 x) - 4$
49913	Find the Reciprocal	(5 square root of 26)/26	$\frac{5 \sqrt{26}}{26}$
49914	Find the Reciprocal	( square root of 3)/3	$\frac{\sqrt{3}}{3}$
49915	Find the Inverse	y=tan(x)	$y = \tan (x)$
49916	Find the Inverse	y = square root of 4-x+1	$y = \sqrt{4 - x} + 1$
49917	Find the Inverse	y=3x^2+4	$y = 3 x^{2} + 4$
49918	Find the Inverse	y=2sin(x)	$y = 2 \sin (x)$
49919	Find the Inverse	y=5x-1	$y = 5 x - 1$
49920	Find the Inverse	y=3x+12	$y = 3 x + 12$
49921	Find the Inverse	y=e^(x-1)	$y = e^{x - 1}$
49922	Find the Inverse	y = log of x+3	$y = \log (x + 3)$
49923	Find the Inverse	y=-1/6sin(x/4)	$y = - \frac{1}{6} \sin (\frac{x}{4})$
49924	Find the Inverse	y=(x-2)^2	$y = {(x - 2)}^{2}$
49925	Find the Inverse	f^-1(x)=5x	$f^{- 1} (x) = 5 x$
49926	Simplify	-(-5,3)-(1,4)	$- (- 5, 3) - (1, 4)$
49927	Simplify/Condense	csc(theta)-sin(theta)	$\csc (θ) - \sin (θ)$
49928	Simplify/Condense	tan(theta)(cot(theta)+tan(theta))	$\tan (θ (\cot (θ) + \tan (θ)))$
49929	Simplify/Condense	tan(theta)+cot(theta)	$\tan (θ) + \cot (θ)$
49930	Simplify	(1,-3)*(-2,6)	$(1, - 3) \cdot (- 2, 6)$
49931	Simplify/Condense	csc(theta)-cos(theta)cot(theta)	$\csc (θ) - \cos (θ) \cot (θ)$
49932	Simplify/Condense	sin(4x)+2sin(2x)	$\sin (4 x) + 2 \sin (2 x)$
49933	Simplify/Condense	cos(x)^2-sin(x)^2	$\cos^{2} (x) - \sin^{2} (x)$
49934	Simplify/Condense	3 log of 4+ log of 9	$3 \log (4) + \log (9)$
49935	Simplify/Condense	cos(-theta)-cos(theta)	$\cos (- θ) - \cos (θ)$
49936	Simplify/Condense	cos(theta)+sin(theta)tan(theta)	$\cos (θ) + \sin (θ) \tan (θ)$
49937	Simplify/Condense	2sin((2pi)/9)cos((2pi)/9)	$2 \sin (\frac{2 π}{9}) \cos (\frac{2 π}{9})$
49938	Simplify/Condense	2sin((3pi)/5)cos((3pi)/5)	$2 \sin (\frac{3 π}{5}) \cos (\frac{3 π}{5})$
49939	Simplify/Condense	2cos(5theta)^2-1	$2 \cos^{2} (5 θ) - 1$
49940	Simplify/Condense	2sin((2pi)/7)cos((2pi)/7)	$2 \sin (\frac{2 π}{7}) \cos (\frac{2 π}{7})$
49941	Simplify/Condense	2sin((3pi)/7)cos((3pi)/7)	$2 \sin (\frac{3 π}{7}) \cos (\frac{3 π}{7})$
49942	Simplify/Condense	2sin(3theta)cos(3theta)	$2 \sin (3 θ) \cos (3 θ)$
49943	Simplify/Condense	3( log of x- log of y)	$3 (\log (x) - \log (y))$
49944	Find the Center and Radius	x^2+(y+3)^2=36	$x^{2} + {(y + 3)}^{2} = 36$
49945	Find the Center and Radius	(x-5)^2+y^2=4	${(x - 5)}^{2} + y^{2} = 4$
49946	Find the Center and Radius	(x-4)^2+(y+2)^2=16	${(x - 4)}^{2} + {(y + 2)}^{2} = 16$
49947	Find the Center and Radius	(x-4)^2+(y-2)^2=9	${(x - 4)}^{2} + {(y - 2)}^{2} = 9$
49948	Find the Center and Radius	(x-3)^2+(y-1)^2=9	${(x - 3)}^{2} + {(y - 1)}^{2} = 9$
49949	Find the Center and Radius	x^2+y^2+4x-8y+10=0	$x^{2} + y^{2} + 4 x - 8 y + 10 = 0$
49950	Find the Center and Radius	x^2+y^2+4x+20y+68=0	$x^{2} + y^{2} + 4 x + 20 y + 68 = 0$
49951	Find the Center and Radius	(x+7)^2+(y-13)^2=196	${(x + 7)}^{2} + {(y - 13)}^{2} = 196$
49952	Find the Center and Radius	(x+5)^2+(y-4)^2=9	${(x + 5)}^{2} + {(y - 4)}^{2} = 9$
49953	Find the Center and Radius	(x-11)^2+(y+15)^2=144	${(x - 11)}^{2} + {(y + 15)}^{2} = 144$
49954	Find the Center and Radius	(x-2)^2+(y+5)^2=16	${(x - 2)}^{2} + {(y + 5)}^{2} = 16$
49955	Find the Center and Radius	(x+2)^2+(y-4)^2=36	${(x + 2)}^{2} + {(y - 4)}^{2} = 36$
49956	Find the Center and Radius	x^2+y^2-4x+20y+55=0	$x^{2} + y^{2} - 4 x + 20 y + 55 = 0$
49957	Find the Center and Radius	x^2+y^2+4x=5	$x^{2} + y^{2} + 4 x = 5$
49958	Find the Center and Radius	x^2+y^2+8x-4y-4=0	$x^{2} + y^{2} + 8 x - 4 y - 4 = 0$
49959	Simplify/Condense	(cos(x))/(1-sin(x))-(cos(x))/(1+sin(x))	$\frac{\cos (x)}{1 - \sin (x)} - \frac{\cos (x)}{1 + \sin (x)}$
49960	Simplify/Condense	(cos(a-b)-cos(a+b))/(sin(a-b)-sin(a+b))	$\frac{\cos (a - b) - \cos (a + b)}{\sin (a - b) - \sin (a + b)}$
49961	Simplify/Condense	(cos(theta))/(csc(theta)-sin(theta))	$\frac{\cos (θ)}{\csc (θ) - \sin (θ)}$
49962	Simplify/Condense	(sin(theta)-cos(theta))-(sin(theta)+cos(theta))^2	$(\sin (θ) - \cos (θ)) - {(\sin (θ) + \cos (θ))}^{2}$
49963	Simplify/Condense	(sin(theta)^2)/(1+cos(theta))	$\frac{\sin^{2} (θ)}{1 + \cos (θ)}$
49964	Simplify/Condense	(sin(theta)-cos(theta))^2+(sin(theta)+cos(theta))^2	${(\sin (θ) - \cos (θ))}^{2} + {(\sin (θ) + \cos (θ))}^{2}$
49965	Find the Center and Radius	x^2+y^2-8x+4y-205=0	$x^{2} + y^{2} - 8 x + 4 y - 205 = 0$
49966	Write the Fraction in Simplest Form	(2pi)/1.6	$\frac{2 π}{1.6}$
49967	Write the Fraction in Simplest Form	(5pi)/12	$\frac{5 π}{12}$
49968	Write the Fraction in Simplest Form	3.5((3pi)/2)	$3.5 (\frac{3 π}{2})$
49969	Find the Derivative - d/dx	(arctan(5/x))	$(\arctan (\frac{5}{x}))$
49970	Find the Derivative - d/dx	square root of 3x	$\sqrt{3 x}$
49971	Find g(f(x))	f(x)=-3x+4 , g(x)=x+7	$f (x) = - 3 x + 4$ , $g (x) = x + 7$
49972	Find Three Ordered Pair Solutions	3x+y=7	$3 x + y = 7$
49973	Find Three Ordered Pair Solutions	x=-8	$x = - 8$
49974	Find the Supplement	pi/9	$\frac{π}{9}$
49975	Find the Supplement	22 degrees	$22 °$
49976	Find the Supplement	34 degrees	$34 °$
49977	Find the Supplement	29 degrees	$29 °$
49978	Find the Sine Given the Point	(4,-6)	$(4, - 6)$
49979	Find the Sine Given the Point	(-7,-7)	$(- 7, - 7)$
49980	Find the Sine Given the Point	(3 1/2,-2 square root of 15)	$(3 \frac{1}{2}, - 2 \sqrt{15})$
49981	Find the Maximum/Minimum Value	y=cos(x-pi/8)	$y = \cos (x - \frac{π}{8})$
49982	Find the Maximum/Minimum Value	y=cos(x)+5	$y = \cos (x) + 5$
49983	Find the Sine Given the Point	(-9,-9)	$(- 9, - 9)$
49984	Find the Maximum/Minimum Value	y=4cos((3theta)/2)	$y = 4 \cos (\frac{3 θ}{2})$
49985	Find the Sine Given the Point	(-40/41,9/41)	$(- \frac{40}{41}, \frac{9}{41})$
49986	Find the Sine Given the Point	(-35/37,-12/37)	$(- \frac{35}{37}, - \frac{12}{37})$
49987	Find the Sine Given the Point	(-( square root of 7)/4,3/4)	$(- \frac{\sqrt{7}}{4}, \frac{3}{4})$
49988	Find the Sine Given the Point	(-1/( square root of 10),3/( square root of 10))	$(- \frac{1}{\sqrt{10}}, \frac{3}{\sqrt{10}})$
49989	Find the Sine Given the Point	(-( square root of 2)/3,( square root of 7)/3)	$(- \frac{\sqrt{2}}{3}, \frac{\sqrt{7}}{3})$
49990	Find the Sine Given the Point	(( square root of 3)/3,( square root of 6)/3)	$(\frac{\sqrt{3}}{3}, \frac{\sqrt{6}}{3})$
49991	Find the Sine Given the Point	(1/3,(2 square root of 2)/3)	$(\frac{1}{3}, \frac{2 \sqrt{2}}{3})$
49992	Find the Sine Given the Point	(-11/61,-60/61)	$(- \frac{11}{61}, - \frac{60}{61})$
49993	Find the Sine Given the Point	(2/5,-( square root of 21)/5)	$(\frac{2}{5}, - \frac{\sqrt{21}}{5})$
49994	Find the Intersection of the Inequalities	sin(theta)>0 , cos(theta)<0	$\sin (θ) > 0$ , $\cos (θ) < 0$
49995	Reduce the Fraction	150/180	$\frac{150}{180}$
49996	Reduce the Fraction	( square root of 3)/3	$\frac{\sqrt{3}}{3}$
49997	Solve for x	-pi/2<x+pi/4<pi/2	$- \frac{π}{2} < x + \frac{π}{4} < \frac{π}{2}$
49998	Solve for x	0<=x<=pi	$0 \leq x \leq π$
49999	Find the Domain	f(x) = log of x-4+3	$f (x) = \log (x - 4) + 3$
50000	Find the Domain	f(x) = log base 7 of 13x+3	$f (x) = \log_{7} (13 x + 3)$