Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
44401	Solve for t	51000=60000/(1+29e(1/2 natural log of 27/377)t)	$51000 = \frac{60000}{1 + 29 e (\frac{1}{2} \ln (\frac{27}{377})) t}$
44402	Find the Quadrant of the Angle	pi/18	$\frac{π}{18}$
44403	Divide Using Long Polynomial Division	4x^2-6x-7÷2x-1	$4 x^{2} - 6 x - 7 \div 2 x - 1$
44404	Expand the Logarithmic Expression	log base b of 8xy	$\log_{b} (8 x y)$
44405	Expand the Logarithmic Expression	log base 7 of x^5y^4	$\log_{7} (x^{5} y^{4})$
44406	Expand the Logarithmic Expression	log base 3 of 9x^3y^3z^6	$\log_{3} (9 x^{3} y^{3} z^{6})$
44407	Expand the Logarithmic Expression	log base 3 of (27x^3y^(3/2))/64	$\log_{3} (\frac{27 x^{3} y^{\frac{3}{2}}}{64})$
44408	Expand the Logarithmic Expression	1/( log base 3 of m)	$\frac{1}{\log_{3} (m)}$
44409	Expand the Logarithmic Expression	log of ((p^4)/(q^7))^2	$\log ({(\frac{p^{4}}{q^{7}})}^{2})$
44410	Find the Vertex	x^2-16y-4x-12=0	$x^{2} - 16 y - 4 x - 12 = 0$
44411	Identify the Polar Equation	r=-3csc(theta)	$r = - 3 \csc (θ)$
44412	Find the Domain	y = log base 7 of 4-3x	$y = \log_{7} (4 - 3 x)$
44413	Find the Domain and Range	(x^2)/25-(y^2)/144=1	$\frac{x^{2}}{25} - \frac{y^{2}}{144} = 1$
44414	Find the Domain and Range	(x^2)/576-(y^2)/49=1	$\frac{x^{2}}{576} - \frac{y^{2}}{49} = 1$
44415	Find the Domain and Range	y=-e^x-2	$y = - e^{x} - 2$
44416	Find the Domain and Range	y=-7sin(x)	$y = - 7 \sin (x)$
44417	Find the Domain and Range	y=3x^2-4	$y = 3 x^{2} - 4$
44418	Find the Domain and Range	y=4	$y = 4$
44419	Convert to Polar Coordinates	(0,4 square root of 2)	$(0, 4 \sqrt{2})$
44420	Convert to Polar Coordinates	(2,14 degrees )	$(2, 14 °)$
44421	Convert to Polar Coordinates	(-2,-(7pi)/6)	$(- 2, - \frac{7 π}{6})$
44422	Convert to Polar Coordinates	(3,-1)	$(3, - 1)$
44423	Convert to Polar Coordinates	(5,(7pi)/6)	$(5, \frac{7 π}{6})$
44424	Convert to Polar Coordinates	(-4,2)	$(- 4, 2)$
44425	Convert to Polar Coordinates	(6,-1)	$(6, - 1)$
44426	Convert to Polar Coordinates	(9,75 degrees )	$(9, 75 °)$
44427	Convert to Polar Coordinates	(9,-3 square root of 3)	$(9, - 3 \sqrt{3})$
44428	Convert to Polar Coordinates	(9,(2pi)/3)	$(9, \frac{2 π}{3})$
44429	Convert to Polar Coordinates	P=(5,pi/3)	$P = (5, \frac{π}{3})$
44430	Find the Center and Radius	(x-3)^2+(y-7)^2=49	${(x - 3)}^{2} + {(y - 7)}^{2} = 49$
44431	Find the Center and Radius	x^2+y^2+2x-4y-20=0	$x^{2} + y^{2} + 2 x - 4 y - 20 = 0$
44432	Find the Center and Radius	x^2+y^2+20x-22y+157=0	$x^{2} + y^{2} + 20 x - 22 y + 157 = 0$
44433	Find the Domain and Range	f(x)=4x-3	$f (x) = 4 x - 3$
44434	Find the Domain and Range	f(x)=- log base 5 of x+2	$f (x) = - \log_{5} (x + 2)$
44435	Find the Domain and Range	f(x)=(x+5)^2+8	$f (x) = {(x + 5)}^{2} + 8$
44436	Write in Standard Form	28x^2+14y^2=196	$28 x^{2} + 14 y^{2} = 196$
44437	Convert to Logarithmic Form	5e^(5x)=1685	$5 e^{5 x} = 1685$
44438	Convert to Logarithmic Form	e^-4=0.018	$e^{- 4} = 0.018$
44439	Convert to Trigonometric Form	-36+36 square root of 3i	$- 36 + 36 \sqrt{3 i}$
44440	Convert to Trigonometric Form	(3+3i)^5	${(3 + 3 i)}^{5}$
44441	Convert to Trigonometric Form	(3+3i)^7	${(3 + 3 i)}^{7}$
44442	Verify the Identity	cos(x)csc(x)=2cos(x)	$\cos (x) \csc (x) = 2 \cos (x)$
44443	Verify the Identity	sin(-theta)+cos(-theta)=cos(theta)-sin(theta)	$\sin (- θ) + \cos (- θ) = \cos (θ) - \sin (θ)$
44444	Convert to Trigonometric Form	(- square root of 3-i)^6	${(- \sqrt{3} - i)}^{6}$
44445	Verify the Identity	sin(theta)csc(theta)-cot(theta)^2sin(theta)^2=sin(theta)^2	$\sin (θ) \csc (θ) - \cot^{2} (θ) \sin^{2} (θ) = \sin^{2} (θ)$
44446	Expand Using the Binomial Theorem	(x+4y)^11	${(x + 4 y)}^{11}$
44447	Expand Using the Binomial Theorem	(x-3)^13	${(x - 3)}^{13}$
44448	Expand Using the Binomial Theorem	(x-4y)^9	${(x - 4 y)}^{9}$
44449	Expand Using the Binomial Theorem	(6x-y)^4	${(6 x - y)}^{4}$
44450	Expand Using the Binomial Theorem	(v-w)^6	${(v - w)}^{6}$
44451	Find the Asymptotes	f(x)=(3x-4)/(5x-6)	$f (x) = \frac{3 x - 4}{5 x - 6}$
44452	Solve for h	V=1/3Bh	$V = \frac{1}{3} B h$
44453	Find the Asymptotes	y=arccsc(x)	$y = arccsc (x)$
44454	Find the Asymptotes	y=cos(x)	$y = \cos (x)$
44455	Find the Asymptotes	y=6tan(x+pi/4)	$y = 6 \tan (x + \frac{π}{4})$
44456	Find the Asymptotes	(x^2)/144-(y^2)/4=1	$\frac{x^{2}}{144} - \frac{y^{2}}{4} = 1$
44457	Find the Asymptotes	(x^2)/144-(y^2)/81=1	$\frac{x^{2}}{144} - \frac{y^{2}}{81} = 1$
44458	Convert from Degrees to Radians	-65 degrees	$- 65 °$
44459	Convert from Degrees to Radians	855 degrees	$855 °$
44460	Convert from Degrees to Radians	theta=45 degrees	$θ = 45 °$
44461	Convert from Degrees to Radians	355 degrees	$355 °$
44462	Expand the Logarithmic Expression	log base 5 of ( fourth root of x cube root of y)/(z^2)	$\log_{5} (\frac{\sqrt[4]{x} \sqrt[3]{y}}{z^{2}})$
44463	Expand the Logarithmic Expression	log base 4 of 20x+16y	$\log_{4} (20 x + 16 y)$
44464	Expand the Logarithmic Expression	log base 11 of square root of (pq)/8	$\log_{11} (\sqrt{\frac{p q}{8}})$
44465	Expand the Logarithmic Expression	log base 7 of z^6 square root of x	$\log_{7} (z^{6} \sqrt{x})$
44466	Expand the Logarithmic Expression	log base b of cube root of (M^3)/(N^2)	$\log_{b} (\sqrt[3]{\frac{M^{3}}{N^{2}}})$
44467	Expand the Logarithmic Expression	log of x^3y^2	$\log (x^{3} y^{2})$
44468	Find the Roots (Zeros)	f(x)=5x^4-x^3-15x^2+263x-52	$f (x) = 5 x^{4} - x^{3} - 15 x^{2} + 263 x - 52$
44469	Find the Roots (Zeros)	f(x)=x^5-x^4-2x^3	$f (x) = x^{5} - x^{4} - 2 x^{3}$
44470	Find the Roots (Zeros)	f(x)=x^3-3x^2-28x-60	$f (x) = x^{3} - 3 x^{2} - 28 x - 60$
44471	Find the x and y Intercepts	x=y^4-4y^2	$x = y^{4} - 4 y^{2}$
44472	Find the x and y Intercepts	y=4x^2-8x-4	$y = 4 x^{2} - 8 x - 4$
44473	Find the x and y Intercepts	3x^2+24x+3y^2=0	$3 x^{2} + 24 x + 3 y^{2} = 0$
44474	Find the Center	((x-9)^2)/64+((y+2)^2)/25=1	$\frac{{(x - 9)}^{2}}{64} + \frac{{(y + 2)}^{2}}{25} = 1$
44475	Find the Domain and Range	x^2-2x+5	$x^{2} - 2 x + 5$
44476	Find the Domain and Range	2x^2-x-1	$2 x^{2} - x - 1$
44477	Find the Vertex	5x^2+40x-y+78=0	$5 x^{2} + 40 x - y + 78 = 0$
44478	Find the Vertex	y^2-4x-8y-12=0	$y^{2} - 4 x - 8 y - 12 = 0$
44479	Find the Vertex	y=2x^2+8x+1	$y = 2 x^{2} + 8 x + 1$
44480	Find the Other Trig Values in Quadrant II	tan(theta)=-5/2	$\tan (θ) = - \frac{5}{2}$
44481	Identify the Polar Equation	r=-7theta	$r = - 7 θ$
44482	Identify the Polar Equation	r=4cot(theta)csc(theta)	$r = 4 \cot (θ) \csc (θ)$
44483	Identify the Polar Equation	r=1/2-1/2sin(theta)	$r = \frac{1}{2} - \frac{1}{2} \sin (θ)$
44484	Find the Vertex	f(x)=-0.4x^2+17x-12	$f (x) = - 0.4 x^{2} + 17 x - 12$
44485	Split Using Partial Fraction Decomposition	(2x-41)/((x-3)^2(x+4))	$\frac{2 x - 41}{{(x - 3)}^{2} (x + 4)}$
44486	Split Using Partial Fraction Decomposition	(8x+9)/((x+9)(9x-1))	$\frac{8 x + 9}{(x + 9) (9 x - 1)}$
44487	Find the Roots (Zeros)	x^4-12x^2-64	$x^{4} - 12 x^{2} - 64$
44488	Find the Roots (Zeros)	(6x^2-55x+56)/(3x^2-29x+40)	$\frac{6 x^{2} - 55 x + 56}{3 x^{2} - 29 x + 40}$
44489	Find Where Increasing/Decreasing	f(x)=-1/2x^3	$f (x) = - \frac{1}{2} x^{3}$
44490	Find the Domain	f(x)=1/(4x-8)	$f (x) = \frac{1}{4 x - 8}$
44491	Find the Domain	f(x)=x/(x^2+17)	$f (x) = \frac{x}{x^{2} + 17}$
44492	Find the Standard Form of the Parabola	y^2-12y+12x+36=0	$y^{2} - 12 y + 12 x + 36 = 0$
44493	Find the Domain	f(x) = square root of 6x-12	$f (x) = \sqrt{6 x - 12}$
44494	Convert to Polar Coordinates	[-5,5]	$[- 5, 5]$
44495	Convert to Polar Coordinates	(7,-6)	$(7, - 6)$
44496	Convert to Polar Coordinates	(-5,6)	$(- 5, 6)$
44497	Convert to Polar Coordinates	(-4,(4pi)/3)	$(- 4, \frac{4 π}{3})$
44498	Convert to Polar Coordinates	(4,8)	$(4, 8)$
44499	Convert to Polar Coordinates	(3,(7pi)/6)	$(3, \frac{7 π}{6})$
44500	Convert to Polar Coordinates	( square root of 32, square root of 32)	$(\sqrt{32}, \sqrt{32})$