Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
49301	Identify the Polar Equation	rsin(theta)=6	$r \sin (θ) = 6$
49302	Find the Quadrant	(-4,-(4pi)/9)	$(- 4, - \frac{4 π}{9})$
49303	Find the Vertices	25(x-3)^2-16(y-2)^2=400	$25 {(x - 3)}^{2} - 16 {(y - 2)}^{2} = 400$
49304	Find the Vertices	16x^2+4y^2+96x-8y+84=0	$16 x^{2} + 4 y^{2} + 96 x - 8 y + 84 = 0$
49305	Find the Vertices	y^2-(x^2)/16=1	$y^{2} - \frac{x^{2}}{16} = 1$
49306	Find the Vertices	x^2+9y^2+16x-54y+136=0	$x^{2} + 9 y^{2} + 16 x - 54 y + 136 = 0$
49307	Find the Vertices	x^2-25y^2=25	$x^{2} - 25 y^{2} = 25$
49308	Find the Vertices	(y^2)/12-(x^2)/36=1	$\frac{y^{2}}{12} - \frac{x^{2}}{36} = 1$
49309	Find the Vertices	(y^2)/12-(x^2)/6=1	$\frac{y^{2}}{12} - \frac{x^{2}}{6} = 1$
49310	Find the Vertices	((x-3)^2)/4+((y+1)^2)/9=1	$\frac{{(x - 3)}^{2}}{4} + \frac{{(y + 1)}^{2}}{9} = 1$
49311	Find the Vertices	(x^2)/16-(y^2)/1=1	$\frac{x^{2}}{16} - \frac{y^{2}}{1} = 1$
49312	Solve by Graphing	2x+y=1-x+y=4	$2 x + y = 1 - x + y = 4$
49313	Find the Range	y=cos(theta)	$y = \cos (θ)$
49314	Find the Range	y=2cos(x)	$y = 2 \cos (x)$
49315	Find the Range	y=2sin(x)+1	$y = 2 \sin (x) + 1$
49316	Find the Range	y=csc(x-pi/4)-3	$y = \csc (x - \frac{π}{4}) - 3$
49317	Find the Domain and Range	3sin(x)	$3 \sin (x)$
49318	Find the Domain and Range	4sin(x)	$4 \sin (x)$
49319	Find Amplitude, Period, and Phase Shift	4cos(2x)	$4 \cos (2 x)$
49320	Find Amplitude, Period, and Phase Shift	4sin(-2x+7)-1	$4 \sin (- 2 x + 7) - 1$
49321	Find Amplitude, Period, and Phase Shift	3sin(pix)	$3 \sin (π x)$
49322	Find Amplitude, Period, and Phase Shift	3+4sin(x-pi)	$3 + 4 \sin (x - π)$
49323	Find Amplitude, Period, and Phase Shift	24cos(3pix)+120	$24 \cos (3 π x) + 120$
49324	Find Amplitude, Period, and Phase Shift	7cos(9x)	$7 \cos (9 x)$
49325	Find Amplitude, Period, and Phase Shift	cos(2theta)	$\cos (2 θ)$
49326	Plot	sin(theta)<0	$\sin (θ) < 0$
49327	Plot	pi/2	$\frac{π}{2}$
49328	Plot	4x+2>14 -21x+1>22	$4 x + 2 > 14$ $- 21 x + 1 > 22$
49329	Plot	(3,(5pi)/6)	$(3, \frac{5 π}{6})$
49330	Plot	(4,(4pi)/3)	$(4, \frac{4 π}{3})$
49331	Find Amplitude, Period, and Phase Shift	sin(x-pi)	$\sin (x - π)$
49332	Find Amplitude, Period, and Phase Shift	sin(5x)	$\sin (5 x)$
49333	Find Amplitude, Period, and Phase Shift	sin(3theta)	$\sin (3 θ)$
49334	Find Amplitude, Period, and Phase Shift	cos((2pi)/3x)+1	$\cos (\frac{2 π}{3} x) + 1$
49335	Find Amplitude, Period, and Phase Shift	3sin(2/3x)	$3 \sin (\frac{2}{3} x)$
49336	Find Amplitude, Period, and Phase Shift	-3cos(2x)	$- 3 \cos (2 x)$
49337	Find Amplitude, Period, and Phase Shift	3cos(pix)	$3 \cos (π x)$
49338	Find Amplitude, Period, and Phase Shift	-3cos(3x)	$- 3 \cos (3 x)$
49339	Find Amplitude, Period, and Phase Shift	tan(3x)	$\tan (3 x)$
49340	Find Amplitude, Period, and Phase Shift	2cos(3x+pi)	$2 \cos (3 x + π)$
49341	Find Amplitude, Period, and Phase Shift	2cos(3x)	$2 \cos (3 x)$
49342	Find Amplitude, Period, and Phase Shift	2sin(4x)	$2 \sin (4 x)$
49343	Find Amplitude, Period, and Phase Shift	2sin(pi/3x)	$2 \sin (\frac{π}{3} x)$
49344	Find Amplitude, Period, and Phase Shift	-2sin(2/3x-4)	$- 2 \sin (\frac{2}{3} x - 4)$
49345	Determine if True	sin(35 degrees )=cos(55 degrees )	$\sin (35 °) = \cos (55 °)$
49346	Determine if True	sin(86 degrees )>sin(24 degrees )	$\sin (86 °) > \sin (24 °)$
49347	Determine if True	tan(pi/4)>cos(pi/3)	$\tan (\frac{π}{4}) > \cos (\frac{π}{3})$
49348	Determine if True	sin(pi/4)-cot(pi/4)=0	$\sin (\frac{π}{4}) - \cot (\frac{π}{4}) = 0$
49349	Determine if True	20=2(-2+4)(-2+1)(-2-3)	$20 = 2 (- 2 + 4) (- 2 + 1) (- 2 - 3)$
49350	Determine if True	9/6=9/63	$\frac{9}{6} = \frac{9}{63}$
49351	Determine if True	((11-8)^2)/9+((1-1)^2)/64=1	$\frac{{(11 - 8)}^{2}}{9} + \frac{{(1 - 1)}^{2}}{64} = 1$
49352	Determine if True	sin(pi/8)=cos(pi/8)^2-sin(pi/8)^2	$\sin (\frac{π}{8}) = \cos^{2} (\frac{π}{8}) - \sin^{2} (\frac{π}{8})$
49353	Determine if True	csc(-166 degrees )=-csc(14 degrees )	$\csc (- 166 °) = - \csc (14 °)$
49354	Determine if True	cos(30 degrees )=( square root of 3)/2	$\cos (30 °) = \frac{\sqrt{3}}{2}$
49355	Determine if True	tan(pi/2)=sin(pi/2)	$\tan (\frac{π}{2}) = \sin (\frac{π}{2})$
49356	Determine if True	sin(0-50 degrees )=cos(30-20 degrees )	$\sin (0 - 50 °) = \cos (30 - 20 °)$
49357	Find the Inverse	f(x)=1/2tan(x)	$f (x) = \frac{1}{2} \tan (x)$
49358	Find the Inverse	f(x)=(7x+4)/5	$f (x) = \frac{7 x + 4}{5}$
49359	Convert to Degrees, Minutes, and Seconds	42.35 degrees	$42.35 °$
49360	Convert to Degrees, Minutes, and Seconds	36.32 degrees	$36.32 °$
49361	Convert to Degrees, Minutes, and Seconds	108.47 degrees	$108.47 °$
49362	Convert to Degrees, Minutes, and Seconds	217.03 degrees	$217.03 °$
49363	Find the Exact Value	cos(pi)	$\cos (π)$
49364	Find the Exact Value	tan(pi)	$\tan (π)$
49365	Find the Inverse	g(x)=7+(3x)/4	$g (x) = 7 + \frac{3 x}{4}$
49366	Find the Inverse	f(x)=6^x-3	$f (x) = 6^{x} - 3$
49367	Find the Inverse	f(x)=csc(x)	$f (x) = \csc (x)$
49368	Find the Inverse	f(x)=-5cos(6x)	$f (x) = - 5 \cos (6 x)$
49369	Find the Inverse	f(x) = square root of 5x-20	$f (x) = \sqrt{5 x - 20}$
49370	Find the Inverse	f(x) = square root of 5x-5	$f (x) = \sqrt{5 x - 5}$
49371	Find the Inverse	f(x) = square root of 6x-18	$f (x) = \sqrt{6 x - 18}$
49372	Find the Inverse	f(x) = square root of 6x-6	$f (x) = \sqrt{6 x - 6}$
49373	Find the Inverse	f(x)=2^(x-1)+1	$f (x) = 2^{x - 1} + 1$
49374	Find the Inverse	F(x)=(x-6)^3	$F (x) = {(x - 6)}^{3}$
49375	Find the Foci	25x^2+9y^2-100x-125=0	$25 x^{2} + 9 y^{2} - 100 x - 125 = 0$
49376	Find the Foci	25x^2+16y^2+100x-300=0	$25 x^{2} + 16 y^{2} + 100 x - 300 = 0$
49377	Find the Foci	(x^2)/9-(y^2)/49=1	$\frac{x^{2}}{9} - \frac{y^{2}}{49} = 1$
49378	Find the Foci	(y^2)/64-(x^2)/81=1	$\frac{y^{2}}{64} - \frac{x^{2}}{81} = 1$
49379	Find the Foci	(x^2)/36-(y^2)/9=1	$\frac{x^{2}}{36} - \frac{y^{2}}{9} = 1$
49380	Find the Foci	(x^2)/16-(y^2)/33=1	$\frac{x^{2}}{16} - \frac{y^{2}}{33} = 1$
49381	Find the Foci	((x+1)^2)/100+((y-2)^2)/49=1	$\frac{{(x + 1)}^{2}}{100} + \frac{{(y - 2)}^{2}}{49} = 1$
49382	Find the Foci	((x-3)^2)/25+(y-2)^2=1	$\frac{{(x - 3)}^{2}}{25} + {(y - 2)}^{2} = 1$
49383	Solve by Completing the Square	x^2-12x+34=-6	$x^{2} - 12 x + 34 = - 6$
49384	Determine if Odd, Even, or Neither	y=sin(1/2)(x-2pi)	$y = \sin (\frac{1}{2} (x - 2 π))$
49385	Find the Degree	-1/2	$- \frac{1}{2}$
49386	Find the Degree	pin	$π n$
49387	Convert to Radical Form	243x^(3/5)	$243 x^{\frac{3}{5}}$
49388	Find the Degree	65 degrees	$65 °$
49389	Solve Using the Quadratic Formula	-2x^2+4x-5=0	$- 2 x^{2} + 4 x - 5 = 0$
49390	Solve Using the Quadratic Formula	9x^2+9=0	$9 x^{2} + 9 = 0$
49391	Determine if Odd, Even, or Neither	f(x)=x-1	$f (x) = x - 1$
49392	Find the Roots (Zeros)	p(x)=27x^3-64	$p (x) = 27 x^{3} - 64$
49393	Expand the Logarithmic Expression	log base a of (x^(9y^2))/z	$\log_{a} (\frac{x^{9 y^{2}}}{z})$
49394	Find the Roots (Zeros)	f(x)=8cos(x)^2-6	$f (x) = 8 \cos^{2} (x) - 6$
49395	Expand the Logarithmic Expression	log base 6 of ((x^5)/y)^6	$\log_{6} ({(\frac{x^{5}}{y})}^{6})$
49396	Expand the Logarithmic Expression	log base b of ninth root of (x^4)/(y^9x^5)	$\log_{b} (\sqrt[9]{\frac{x^{4}}{y^{9} x^{5}}})$
49397	Expand the Logarithmic Expression	log base b of (x^2y^4)/(y^2)	$\log_{b} (\frac{x^{2} y^{4}}{y^{2}})$
49398	Expand the Logarithmic Expression	log of x^(1/2)y^3	$\log (x^{\frac{1}{2}} y^{3})$
49399	Expand the Logarithmic Expression	log base c of fourth root of (x^7)/(y^4z^5)	$\log_{c} (\sqrt[4]{\frac{x^{7}}{y^{4} z^{5}}})$
49400	Expand the Logarithmic Expression	log base 2 of 11/(3x)	$\log_{2} (\frac{11}{3 x})$