Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
44501	Write in Standard Form	(4+7i)/(2-3i)	$\frac{4 + 7 i}{2 - 3 i}$
44502	Find the Domain and Range	y=2x-5	$y = 2 x - 5$
44503	Find the Domain and Range	y = log base 3 of x-1	$y = \log_{3} (x - 1)$
44504	Find the Domain and Range	y = square root of 2-x	$y = \sqrt{2 - x}$
44505	Find the Domain and Range	((y-8)^2)/81-((x-3)^2)/144=1	$\frac{{(y - 8)}^{2}}{81} - \frac{{(x - 3)}^{2}}{144} = 1$
44506	Find the Domain and Range	((y-7)^2)/81-((x-3)^2)/144=1	$\frac{{(y - 7)}^{2}}{81} - \frac{{(x - 3)}^{2}}{144} = 1$
44507	Find the Domain and Range	((x+4)^2)/9-((y-2)^2)/16=1	$\frac{{(x + 4)}^{2}}{9} - \frac{{(y - 2)}^{2}}{16} = 1$
44508	Solve the Function Operation	(f*g)(4) , f(x)=2x+3 , g(x)=x^2+5x	$(f \cdot g) (4)$ , $f (x) = 2 x + 3$ , $g (x) = x^{2} + 5 x$
44509	Find the Derivative - d/d@VAR	f(x)=(9x)/(2x-13)	$f (x) = \frac{9 x}{2 x - 13}$
44510	Find the Derivative - d/dq	((102-3q^2)/(q+2))	$(\frac{102 - 3 q^{2}}{q + 2})$
44511	Find the Derivative - d/d@VAR	n(t)=1/t+3/(t^2)+2/(t^3)+4	$n (t) = \frac{1}{t} + \frac{3}{t^{2}} + \frac{2}{t^{3}} + 4$
44512	Write in Standard Form	3x^2+2y^2+18x+20y+65=0	$3 x^{2} + 2 y^{2} + 18 x + 20 y + 65 = 0$
44513	Write in Standard Form	4x^2+3y^2+36y+60=0	$4 x^{2} + 3 y^{2} + 36 y + 60 = 0$
44514	Write in Standard Form	x^2-12x+y^2+10y+12=0	$x^{2} - 12 x + y^{2} + 10 y + 12 = 0$
44515	Find the Domain and Range	f(x)=1/(6x+11)	$f (x) = \frac{1}{6 x + 11}$
44516	Find the Domain and Range	f(x)=(8x+9)/(x+8)	$f (x) = \frac{8 x + 9}{x + 8}$
44517	Find the Domain and Range	f(x)=2^(x-100)+200	$f (x) = 2^{x - 100} + 200$
44518	Find the Domain and Range	f(x)=-2^(-x)-450	$f (x) = - 2^{- x} - 450$
44519	Find the Domain and Range	f(x)=\|2x\|-sin(x)	$f (x) = \| 2 x \| - \sin (x)$
44520	Find the Domain and Range	f(x)=6e^(-x)	$f (x) = 6 e^{- x}$
44521	Find the Sine Given the Point	(-1/8,1/6)	$(- \frac{1}{8}, \frac{1}{6})$
44522	Find the Center and Radius	x^2+y^2=26	$x^{2} + y^{2} = 26$
44523	Find the Center and Radius	x^2+y^2+1/2x-2y-5=0	$x^{2} + y^{2} + \frac{1}{2} x - 2 y - 5 = 0$
44524	Find the Center and Radius	9x^2+36x+9y^2+72y+155=0	$9 x^{2} + 36 x + 9 y^{2} + 72 y + 155 = 0$
44525	Find the Center and Radius	(x+4)^2+y^2=25	${(x + 4)}^{2} + y^{2} = 25$
44526	Find the Center and Radius	(x-5)^2+(y+1)^2=16	${(x - 5)}^{2} + {(y + 1)}^{2} = 16$
44527	Find the Center and Radius	16x^2+80x+16y^2-112y+247=0	$16 x^{2} + 80 x + 16 y^{2} - 112 y + 247 = 0$
44528	Find the Center and Radius	(x-7)^2+(y+6)^2=4	${(x - 7)}^{2} + {(y + 6)}^{2} = 4$
44529	Find the Center and Radius	(x-3)^2+(y+7)^2=64	${(x - 3)}^{2} + {(y + 7)}^{2} = 64$
44530	Find the Center and Radius	((x-5)^2)/25+((y+8)^2)/81=1	$\frac{{(x - 5)}^{2}}{25} + \frac{{(y + 8)}^{2}}{81} = 1$
44531	Find the Center and Radius	(x+4)^2+(y-8)^2=16	${(x + 4)}^{2} + {(y - 8)}^{2} = 16$
44532	Find the Asymptotes	(y^2)/81-(x^2)/144=1	$\frac{y^{2}}{81} - \frac{x^{2}}{144} = 1$
44533	Find the Asymptotes	81x^2-64y^2=5184	$81 x^{2} - 64 y^{2} = 5184$
44534	Find the Asymptotes	(x^2)/16-(y^2)/36=1	$\frac{x^{2}}{16} - \frac{y^{2}}{36} = 1$
44535	Find the Asymptotes	y=5tan(x-pi/3)	$y = 5 \tan (x - \frac{π}{3})$
44536	Find the Asymptotes	y=cot(2x)	$y = \cot (2 x)$
44537	Find the Asymptotes	y=2tan(3x-pi/2)	$y = 2 \tan (3 x - \frac{π}{2})$
44538	Find the Asymptotes	y=(x^2-4)/(x+2)	$y = \frac{x^{2} - 4}{x + 2}$
44539	Find the Asymptotes	y^2-x^2=16	$y^{2} - x^{2} = 16$
44540	Find the Asymptotes	y^2-x^2=25	$y^{2} - x^{2} = 25$
44541	Find the Asymptotes	9y^2-x^2+2x+54y+62=0	$9 y^{2} - x^{2} + 2 x + 54 y + 62 = 0$
44542	Find the Asymptotes	x^2-y^2-6x-4y-11=0	$x^{2} - y^{2} - 6 x - 4 y - 11 = 0$
44543	Solve for y	square root of 196-y-y=14	$\sqrt{196 - y} - y = 14$
44544	Solve for h	s = square root of r^2+h^2	$s = \sqrt{r^{2} + h^{2}}$
44545	Solve for t	11t=- natural log of 1-i/0.7	$11 t = - \ln (1 - \frac{i}{0.7})$
44546	Solve for b	(2pi)/b=0.1	$\frac{2 π}{b} = 0.1$
44547	Expand Using the Binomial Theorem	(2x+5y)^4	${(2 x + 5 y)}^{4}$
44548	Expand Using the Binomial Theorem	(2x+ square root of 2)^8	${(2 x + \sqrt{2})}^{8}$
44549	Expand Using the Binomial Theorem	(3a-4b)^5	${(3 a - 4 b)}^{5}$
44550	Expand Using the Binomial Theorem	(2x-5)^7	${(2 x - 5)}^{7}$
44551	Expand Using the Binomial Theorem	(3x+5)^6	${(3 x + 5)}^{6}$
44552	Expand Using the Binomial Theorem	(3x+2y)^7	${(3 x + 2 y)}^{7}$
44553	Expand Using the Binomial Theorem	(9a+b)^6	${(9 a + b)}^{6}$
44554	Expand Using the Binomial Theorem	(5x+2)^5	${(5 x + 2)}^{5}$
44555	Expand Using the Binomial Theorem	(x+4)^9	${(x + 4)}^{9}$
44556	Expand Using the Binomial Theorem	(x^3-2y)^5	${(x^{3} - 2 y)}^{5}$
44557	Find the Asymptotes	(x^3-8)/(x^2+x-6)	$\frac{x^{3} - 8}{x^{2} + x - 6}$
44558	Convert to Logarithmic Form	19^m=48	$19^{m} = 48$
44559	Verify the Identity	1+cot(-theta)^2=csc(theta)^2	$1 + \cot^{2} (- θ) = \csc^{2} (θ)$
44560	Verify the Identity	cos(180 degrees -theta)=-cos(theta)	$\cos (180 ° - θ) = - \cos (θ)$
44561	Verify the Identity	cos(x-(3pi)/2)=-sin(x)	$\cos (x - \frac{3 π}{2}) = - \sin (x)$
44562	Verify the Identity	1/(tan(theta)+cot(theta))=(cos(theta))/(csc(theta))	$\frac{1}{\tan (θ) + \cot (θ)} = \frac{\cos (θ)}{\csc (θ)}$
44563	Solve the System of @WORD	-1<2-x/3<1	$- 1 < 2 - \frac{x}{3} < 1$
44564	Convert to Interval Notation	-8<2x+5<9	$- 8 < 2 x + 5 < 9$
44565	Convert to Trigonometric Form	-32i	$- 32 i$
44566	Convert to Interval Notation	(x^2-9x)/(x-5)<0	$\frac{(x^{2} - 9 x)}{x - 5} < 0$
44567	Find the Asymptotes	f(x)=(2x-1)/(x^2+1)	$f (x) = \frac{2 x - 1}{x^{2} + 1}$
44568	Find the Asymptotes	H(x)=(3x-21)/(49-x^2)	$H (x) = \frac{3 x - 21}{49 - x^{2}}$
44569	Find the Asymptotes	f(x)=(x^2-9x)/(x^2-9)	$f (x) = \frac{x^{2} - 9 x}{x^{2} - 9}$
44570	Find the Asymptotes	f(x)=(x^2+3x-2)/(x-2)	$f (x) = \frac{x^{2} + 3 x - 2}{x - 2}$
44571	Find the Asymptotes	f(x)=(x^2+8x+7)/(x^2+11x+30)	$f (x) = \frac{x^{2} + 8 x + 7}{x^{2} + 11 x + 30}$
44572	Find the Inverse	(5x+9)/(-3x+4)	$\frac{5 x + 9}{- 3 x + 4}$
44573	Find the Inverse	log base 5 of x	$\log_{5} (x)$
44574	Expand Using Sum/Difference Formulas	cos(5/12pi)cos(1/6pi)	$\cos (\frac{5}{12} π) \cos (\frac{1}{6} π)$
44575	Expand Using Sum/Difference Formulas	sin(10theta)cos(6theta)	$\sin (10 θ) \cos (6 θ)$
44576	Convert to Radical Form	X^(1/5)	$X^{\frac{1}{5}}$
44577	Convert from Degrees to Radians	35.89 degrees	$35.89 °$
44578	Convert from Degrees to Radians	219 degrees	$219 °$
44579	Convert from Degrees to Radians	2880 degrees	$2880 °$
44580	Convert from Degrees to Radians	295 degrees	$295 °$
44581	Convert from Degrees to Radians	143 degrees	$143 °$
44582	Convert from Degrees to Radians	765 degrees	$765 °$
44583	Convert from Degrees to Radians	945 degrees	$945 °$
44584	Convert from Degrees to Radians	-60.5 degrees	$- 60.5 °$
44585	Convert from Degrees to Radians	-47 degrees	$- 47 °$
44586	Convert from Degrees to Radians	610 degrees	$610 °$
44587	Convert from Degrees to Radians	sin(theta)=1/2	$\sin (θ) = \frac{1}{2}$
44588	Find the Vertex	y=2x^2+4x+1	$y = 2 x^{2} + 4 x + 1$
44589	Find the Vertex	y=3x^2-5x+4	$y = 3 x^{2} - 5 x + 4$
44590	Find the Vertex	y=1/2(x-4)^2+4	$y = \frac{1}{2} {(x - 4)}^{2} + 4$
44591	Find the Vertex	(y-2)^2=8(x+4)	${(y - 2)}^{2} = 8 (x + 4)$
44592	Find the Vertex	x^2+8y=0	$x^{2} + 8 y = 0$
44593	Find the Vertex	x^2+2x-4y+17=0	$x^{2} + 2 x - 4 y + 17 = 0$
44594	Find the x and y Intercepts	3x^2+6x+3y^2=0	$3 x^{2} + 6 x + 3 y^{2} = 0$
44595	Find the x and y Intercepts	5x^2+10x+5y^2=0	$5 x^{2} + 10 x + 5 y^{2} = 0$
44596	Find the x and y Intercepts	2x^2+2y^2-16x+8y-10=0	$2 x^{2} + 2 y^{2} - 16 x + 8 y - 10 = 0$
44597	Find the x and y Intercepts	x^2+y^2=26	$x^{2} + y^{2} = 26$
44598	Find the x and y Intercepts	y=x/(x^2-16)	$y = \frac{x}{x^{2} - 16}$
44599	Find the Roots (Zeros)	F(x)=x^3-x^2-5x-3	$F (x) = x^{3} - x^{2} - 5 x - 3$
44600	Find the Roots (Zeros)	f(x)=x^3-8x^2-31x-22	$f (x) = x^{3} - 8 x^{2} - 31 x - 22$