Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
22001	Simplify/Condense	- log of 1*10^5	$- \log (1 \cdot 10^{5})$
22002	Find the Exact Value	arcsin(sin((4pi)/3))	$\arcsin (\sin (\frac{4 π}{3}))$
22003	Simplify/Condense	log of 125	$\log (125)$
22004	Simplify/Condense	log of 48	$\log (48)$
22005	Simplify/Condense	log of 64000000	$\log (64000000)$
22006	Find the Domain and Range	h(x)=-3x+6	$h (x) = - 3 x + 6$
22007	Find the Midpoint	(-4,3) , (2,6)	$(- 4, 3) (2, 6)$
22008	Find the Domain and Range	g(x)=(2x^2-3x-5)/(x^2+1)	$g (x) = \frac{2 x^{2} - 3 x - 5}{x^{2} + 1}$
22009	Find the Domain and Range	f(x)=sin(x)-5	$f (x) = \sin (x) - 5$
22010	Find the Domain and Range	g(x)=(x+1)/(x^2-1)	$g (x) = \frac{x + 1}{x^{2} - 1}$
22011	Find the Domain and Range	P(x)=x^3-x^2-x-1	$P (x) = x^{3} - x^{2} - x - 1$
22012	Find the Domain and Range	r(x)=(3x^2+6)/(x^2-2x-3)	$r (x) = \frac{3 x^{2} + 6}{x^{2} - 2 x - 3}$
22013	Find the Domain and Range	f(x)=x^2-9x+3	$f (x) = x^{2} - 9 x + 3$
22014	Find the Domain and Range	f(x)=x^2-18x+63	$f (x) = x^{2} - 18 x + 63$
22015	Find the Domain and Range	f(x)=x^2-23x-50	$f (x) = x^{2} - 23 x - 50$
22016	Find the Domain and Range	f(x)=-x^2-4x-4	$f (x) = - x^{2} - 4 x - 4$
22017	Find the Domain and Range	f(x)=x^3-5x+16	$f (x) = x^{3} - 5 x + 16$
22018	Find the Domain and Range	f(x)=x^4-10x^2+9	$f (x) = x^{4} - 10 x^{2} + 9$
22019	Find the Domain and Range	f(x)=-2x^2-4x+6	$f (x) = - 2 x^{2} - 4 x + 6$
22020	Find the Domain and Range	f(x)=2sin(x)	$f (x) = 2 \sin (x)$
22021	Find the Domain and Range	f(x)=3cos(2x+4)	$f (x) = 3 \cos (2 x + 4)$
22022	Find the Domain and Range	f(x)=ax+b	$f (x) = a x + b$
22023	Find the Domain and Range	f(x)=3sin(2x+pi)-2	$f (x) = 3 \sin (2 x + π) - 2$
22024	Find the Domain and Range	f(x)=4cos(2x-pi)	$f (x) = 4 \cos (2 x - π)$
22025	Find the Domain and Range	f(x)=4x^2-8x+2	$f (x) = 4 x^{2} - 8 x + 2$
22026	Find the Distance Between Two Points	(-3,8) , (-1,6)	$(- 3, 8) (- 1, 6)$
22027	Find the Distance Between Two Points	(8,0) , (0,-7)	$(8, 0)$ , $(0, - 7)$
22028	Find the Distance Between Two Points	(1,5) , (6,-3)	$(1, 5) (6, - 3)$
22029	Find the Distance Between Two Points	(2,5) , (10,11)	$(2, 5)$ , $(10, 11)$
22030	Find the Distance Between Two Points	(-1,-2) , (11,7)	$(- 1, - 2) (11, 7)$
22031	Find the Distance Between Two Points	(-4,-5) , (1,-2)	$(- 4, - 5) (1, - 2)$
22032	Find the Intersection of the Inequalities	cos(y)=( square root of 3)/2 , sin(y)<0	$\cos (y) = \frac{\sqrt{3}}{2}$ , $\sin (y) < 0$
22033	Find the Distance Between Two Points	(0,0) , (-3,1)	$(0, 0) (- 3, 1)$
22034	Find the Domain and Range	f(x)=9x+7	$f (x) = 9 x + 7$
22035	Find the Midpoint	(-8,-2) , (7,8)	$(- 8, - 2)$ , $(7, 8)$
22036	Find the Distance Between Two Points	(-2,-4) , (2,-5)	$(- 2, - 4)$ , $(2, - 5)$
22037	Find the Intersection of the Inequalities	sin(x)<0 , cot(x)>0	$\sin (x) < 0$ , $\cot (x) > 0$
22038	Find the Domain and Range	f(x)=-3x-5	$f (x) = - 3 x - 5$
22039	Find the Intersection of the Inequalities	sin(x)>0 , tan(x)<0	$\sin (x) > 0$ , $\tan (x) < 0$
22040	Find the Quadrant	(-3/5,4/5)	$(- \frac{3}{5}, \frac{4}{5})$
22041	Find the Quadrant	(5,12)	$(5, 12)$
22042	Find the Quadrant	(90,180)	$(90, 180)$
22043	Convert to Polar Coordinates	(( square root of 2)/2,( square root of 2)/2)	$(\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2})$
22044	Convert to Polar Coordinates	(-1/2,-( square root of 3)/2)	$(- \frac{1}{2}, - \frac{\sqrt{3}}{2})$
22045	Find the Quadrant	(3,4)	$(3, 4)$
22046	Convert to Polar Coordinates	(1/2,( square root of 3)/2)	$(\frac{1}{2}, \frac{\sqrt{3}}{2})$
22047	Convert to Polar Coordinates	( square root of 3,-1)	$(\sqrt{3}, - 1)$
22048	Convert to Polar Coordinates	(-3/5,4/5)	$(- \frac{3}{5}, \frac{4}{5})$
22049	Find the Quadrant	(40,9)	$(40, 9)$
22050	Find the Quadrant	(-5,4)	$(- 5, 4)$
22051	Find the Quadrant	(9,-9)	$(9, - 9)$
22052	Find the Quadrant	(( square root of 2)/4,( square root of 14)/4)	$(\frac{\sqrt{2}}{4}, \frac{\sqrt{14}}{4})$
22053	Find the Quadrant	(0,-2)	$(0, - 2)$
22054	Find the Quadrant	(1,0)	$(1, 0)$
22055	Find the Quadrant	(-11,11)	$(- 11, 11)$
22056	Find the Quadrant	(-2,5)	$(- 2, 5)$
22057	Find the Quadrant	(12,-9)	$(12, - 9)$
22058	Find the Quadrant	(-12,5)	$(- 12, 5)$
22059	Find the Quadrant	(24,-7)	$(24, - 7)$
22060	Find the Quadrant	(-2,-8)	$(- 2, - 8)$
22061	Find the Quadrant	(2,p)	$(2, p)$
22062	Find the Quadrant	(1/2,( square root of 3)/2)	$(\frac{1}{2}, \frac{\sqrt{3}}{2})$
22063	Find the Quadrant	(3,(4pi)/3)	$(3, \frac{4 π}{3})$
22064	Find the Quadrant	(3, square root of 2)	$(3, \sqrt{2})$
22065	Find the Quadrant	(-4,3)	$(- 4, 3)$
22066	Find the Domain and Range	f(x)=x^2+6x-40	$f (x) = x^{2} + 6 x - 40$
22067	Find the Domain and Range	f(x)=4-2x	$f (x) = 4 - 2 x$
22068	Find the Domain	f(x)=-2sin(3x-pi/4)	$f (x) = - 2 \sin (3 x - \frac{π}{4})$
22069	Multiply	120*pi/180	$120 \cdot \frac{π}{180}$
22070	Find the Domain and Range	f(x)=- log base 2 of x-1+3	$f (x) = - \log_{2} (x - 1) + 3$
22071	Find the Domain and Range	f(x)=tan(2x)^(1/2)	$f (x) = {\tan (2 x)}^{\frac{1}{2}}$
22072	Find the Domain and Range	f(x)=cos(2x)	$f (x) = \cos (2 x)$
22073	Find the Domain and Range	f(x)=-16t^2+32t+4080	$f (x) = - 16 t^{2} + 32 t + 4080$
22074	Find the Domain and Range	f(x)=-3cos(2x-pi)+2	$f (x) = - 3 \cos (2 x - π) + 2$
22075	Find the Domain	f(x)=tan(x)	$f (x) = \tan (x)$
22076	Find the Domain	f(x)=-tan(x)	$f (x) = - \tan (x)$
22077	Find the Domain and Range	f(x)=-3x	$f (x) = - 3 x$
22078	Find the Domain and Range	f(x)=(4x-6)/(x^2-5)	$f (x) = \frac{4 x - 6}{x^{2} - 5}$
22079	Find the Domain and Range	f(x)=1/8-(x-3)(x+2)^3(x-1)^2	$f (x) = \frac{1}{8} - (x - 3) {(x + 2)}^{3} {(x - 1)}^{2}$
22080	Find the Domain and Range	f(x)=3/2*(x-3)^2-6	$f (x) = \frac{3}{2} \cdot {(x - 3)}^{2} - 6$
22081	Find the Domain and Range	f(x)=1/4*cos(x/2)	$f (x) = \frac{1}{4} \cdot \cos (\frac{x}{2})$
22082	Find the Domain and Range	f(x)=x^2+5x-6	$f (x) = x^{2} + 5 x - 6$
22083	Find Amplitude, Period, and Phase Shift	y=5sin(pit)	$y = 5 \sin (π t)$
22084	Find the Inverse	f(x)=((x+7)^2)/6	$f (x) = \frac{{(x + 7)}^{2}}{6}$
22085	Find the Inverse	f(t)=1/2*sec(t+2)-pi	$f (t) = \frac{1}{2} \cdot \sec (t + 2) - π$
22086	Find the Inverse	f(x)=1/5*(x-2)	$f (x) = \frac{1}{5} \cdot (x - 2)$
22087	Find the Inverse	f(x)=1/3*(2x-3)	$f (x) = \frac{1}{3} \cdot (2 x - 3)$
22088	Find the Inverse	f(x)=(3x)/(5x-2)	$f (x) = \frac{3 x}{5 x - 2}$
22089	Find the Inverse	f(x)=cos(x)^5	$f (x) = \cos^{5} (x)$
22090	Find the Inverse	f(x) = cube root of 4x-1	$f (x) = \sqrt[3]{4 x - 1}$
22091	Find the Inverse	f(x)=x^3+3x	$f (x) = x^{3} + 3 x$
22092	Find the Inverse	f(x)=(x-24)/4	$f (x) = \frac{x - 24}{4}$
22093	Find the Inverse	f(x)=3sin(2x)	$f (x) = 3 \sin (2 x)$
22094	Find the Inverse	f(x)=9x^2-1	$f (x) = 9 x^{2} - 1$
22095	Find the Inverse	f(x)=cos(x+2)+1	$f (x) = \cos (x + 2) + 1$
22096	Find the Inverse	f(x)=tan(x)	$f (x) = \tan (x)$
22097	Find the Inverse	y=arctan(x)	$y = \arctan (x)$
22098	Find the Domain	f(x)=-2cot(x)	$f (x) = - 2 \cot (x)$
22099	Find the Domain	f(x)=4csc(x)-cot(x)	$f (x) = 4 \csc (x) - \cot (x)$
22100	Find the Domain	f(x) = square root of x^2+8x	$f (x) = \sqrt{x^{2} + 8 x}$