Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
49101	Convert to a Simplified Fraction	square root of 46	$\sqrt{46}$
49102	Convert to a Simplified Fraction	square root of 161	$\sqrt{161}$
49103	Solve the Function Operation	f(x)=(-6+x)(-6+x)g(x)=-4+9x(f/g)(3)	$f (x) = (- 6 + x) (- 6 + x) g (x) = - 4 + 9 x (\frac{f}{g}) (3)$
49104	Solve the Function Operation	g(x)=x-2f(x)=(x+5)(x-2)(g/f)(3)	$g (x) = x - 2 f (x) = (x + 5) (x - 2) (\frac{g}{f}) (3)$
49105	Find the Center and Radius	x^2+y^2-8x+20y+67=0	$x^{2} + y^{2} - 8 x + 20 y + 67 = 0$
49106	Simplify/Condense	(cos(theta)-sin(theta))/(cos(theta))-(cos(theta)+sin(theta))/(sin(theta))	$\frac{\cos (θ) - \sin (θ)}{\cos (θ)} - \frac{\cos (θ) + \sin (θ)}{\sin (θ)}$
49107	Find the Center and Radius	x^2+y^2-16x+39=0	$x^{2} + y^{2} - 16 x + 39 = 0$
49108	Find the Center and Radius	(x-2)^2+(y-16)^2=169	${(x - 2)}^{2} + {(y - 16)}^{2} = 169$
49109	Find the Center and Radius	(x+9)^2+(y+6)^2=225	${(x + 9)}^{2} + {(y + 6)}^{2} = 225$
49110	Find the Center and Radius	(x+3)^2+(y-3)^2=144	${(x + 3)}^{2} + {(y - 3)}^{2} = 144$
49111	Find the Center and Radius	x^2+y^2+16x-24y+159=0	$x^{2} + y^{2} + 16 x - 24 y + 159 = 0$
49112	Simplify/Condense	sec(theta)-1/(sec(theta))	$\sec (θ) - \frac{1}{\sec (θ)}$
49113	Simplify/Condense	sin(x)^2+cos(x)^2	$\sin^{2} (x) + \cos^{2} (x)$
49114	Simplify/Condense	sec(x)-cos(x)	$\sec (x) - \cos (x)$
49115	Simplify/Condense	cos(x)+(sin(x)^2)/(cos(x))	$\cos (x) + \frac{\sin^{2} (x)}{\cos (x)}$
49116	Simplify	(-22.2,19.9)+3(-0.8,6.3)	$(- 22.2, 19.9) + 3 (- 0.8, 6.3)$
49117	Find the Directrix	(y+ square root of 3)^2=-4 square root of 2(x- square root of 2)	${(y + \sqrt{3})}^{2} = - 4 \sqrt{2} (x - \sqrt{2})$
49118	Simplify	2(-11,3)-6(5,-7)	$2 (- 11, 3) - 6 (5, - 7)$
49119	Find the Directrix	y=x^2+6x+15	$y = x^{2} + 6 x + 15$
49120	Find the Inverse	y=-(10^x)/4	$y = - \frac{10^{x}}{4}$
49121	Find the Inverse	y=x^3-2	$y = x^{3} - 2$
49122	Write in Standard Form	x^2-6x+y^2-32y=-264	$x^{2} - 6 x + y^{2} - 32 y = - 264$
49123	Write in Standard Form	y^2-4y-4x^2+8x=4	$y^{2} - 4 y - 4 x^{2} + 8 x = 4$
49124	Write in Standard Form	x^2+y^2+18x-36y+369=0	$x^{2} + y^{2} + 18 x - 36 y + 369 = 0$
49125	Write in Standard Form	7x^2+7y^2-28x+42y-35=0	$7 x^{2} + 7 y^{2} - 28 x + 42 y - 35 = 0$
49126	Write in Standard Form	4x^2+4y^2-16x-8y-5=0	$4 x^{2} + 4 y^{2} - 16 x - 8 y - 5 = 0$
49127	Write in Standard Form	2y^2-3y+3x=0	$2 y^{2} - 3 y + 3 x = 0$
49128	Write in Standard Form	(x-8)^2+y^2=64	${(x - 8)}^{2} + y^{2} = 64$
49129	Find the Domain and Range	g(x) = log base 3 of x-3	$g (x) = \log_{3} (x - 3)$
49130	Find the Domain and Range	f(x)=1/2sin(2x)	$f (x) = \frac{1}{2} \sin (2 x)$
49131	Find the Domain and Range	f(x)=2tan(x)	$f (x) = 2 \tan (x)$
49132	Find the Domain and Range	f(x)=2cot(x)	$f (x) = 2 \cot (x)$
49133	Find the Domain and Range	F(x)=2tan(x)	$F (x) = 2 \tan (x)$
49134	Find the Domain and Range	f(x)=-3 natural log of x-4	$f (x) = - 3 \ln (x - 4)$
49135	Find the Domain and Range	f(x)=cos(x-45 degrees )	$f (x) = \cos (x - 45 °)$
49136	Find the Domain and Range	f(x)=-5cos(x)^2	$f (x) = - 5 \cos^{2} (x)$
49137	Find the Reciprocal	(2 square root of 5)/5	$\frac{2 \sqrt{5}}{5}$
49138	Find All Complex Solutions	cos(x)-sec(x)=0	$\cos (x) - \sec (x) = 0$
49139	Find All Complex Solutions	sec(theta)=-2	$\sec (θ) = - 2$
49140	Find All Complex Solutions	sin(x/2)=1-sin(x/2)	$\sin (\frac{x}{2}) = 1 - \sin (\frac{x}{2})$
49141	Find All Complex Solutions	sin(theta)^2+cos(theta)^2=1	$\sin^{2} (θ) + \cos^{2} (θ) = 1$
49142	Find All Complex Solutions	tan(theta)=4	$\tan (θ) = 4$
49143	Find All Complex Solutions	tan(theta)=5	$\tan (θ) = 5$
49144	Find All Complex Solutions	tan(theta)=8	$\tan (θ) = 8$
49145	Find All Complex Solutions	-sin(x)=-cos(x)^2-1	$- \sin (x) = - \cos^{2} (x) - 1$
49146	Find All Complex Solutions	-4sin(x)=-cos(x)^2+4	$- 4 \sin (x) = - \cos^{2} (x) + 4$
49147	Find All Complex Solutions	4sin(x)=-cos(x)^2+4	$4 \sin (x) = - \cos^{2} (x) + 4$
49148	Find All Complex Solutions	14(1-cos(theta))=sin(theta)^2	$14 (1 - \cos (θ)) = \sin^{2} (θ)$
49149	Find All Complex Solutions	sin(x)=1	$\sin (x) = 1$
49150	Find the Asymptotes	y=tan(2/3theta)	$y = \tan (\frac{2}{3} θ)$
49151	Find the Asymptotes	y=tan(5theta)	$y = \tan (5 θ)$
49152	Find the Asymptotes	y=tan(2x-pi)	$y = \tan (2 x - π)$
49153	Find the Asymptotes	4y^2-16x^2=64	$4 y^{2} - 16 x^{2} = 64$
49154	Find the Asymptotes	(x^2)/4-(y^2)/81=1	$\frac{x^{2}}{4} - \frac{y^{2}}{81} = 1$
49155	Solve for z	z=4 square root of 3-4i	$z = 4 \sqrt{3} - 4 i$
49156	Solve for z1	z_1=6(cos(20 degrees )+isin(20 degrees ))	$z_{1} = 6 (\cos (20 °) + i \sin (20 °))$
49157	Describe the Transformation	f(x)=5sec(x-2)+1	$f (x) = 5 \sec (x - 2) + 1$
49158	Solve for z	z^4=81	$z^{4} = 81$
49159	Describe the Transformation	y=-tan(1/10x)+4	$y = - \tan (\frac{1}{10} x) + 4$
49160	Describe the Transformation	y=tan(x)	$y = \tan (x)$
49161	Solve for A	cos(A)=0.8248	$\cos (A) = 0.8248$
49162	Solve for A	sin(A)=5/13	$\sin (A) = \frac{5}{13}$
49163	Solve for A	sin(A)-cos(A)=0	$\sin (A) - \cos (A) = 0$
49164	Solve for a	x^(1/4) fourth root of x=x^a	$x^{\frac{1}{4}} \sqrt[4]{x} = x^{a}$
49165	Solve for A	A=1/2(12.5)^2pi/13	$A = \frac{1}{2} {(12.5)}^{2} \frac{π}{13}$
49166	Solve for A	A=158 degrees	$A = 158 °$
49167	Solve for a	a=arccos(-20/29)	$a = \arccos (\frac{- 20}{29})$
49168	Solve for A	A=arcsin(0.5492721165)	$A = \sin^{-1} (0.5492721165)$
49169	Solve for a	a^2+30^2=34^2	$a^{2} + 30^{2} = 34^{2}$
49170	Solve for A	A^2=16cos(A)	$A^{2} = 16 \cos (A)$
49171	Solve for A	-152cos(A)=-88	$- 152 \cos (A) = - 88$
49172	Solve for A	25^2=A^2+24^2	$25^{2} = A^{2} + 24^{2}$
49173	Solve for a	(sin(44))/7=(sin(53))/a	$\frac{\sin (44)}{7} = \frac{\sin (53)}{a}$
49174	Solve for p	-14=4p-11-3p	$- 14 = 4 p - 11 - 3 p$
49175	Solve for r	tan(34 degrees )=280/r	$\tan (34 °) = \frac{280}{r}$
49176	Solve for n	log base 11 of n+7-8=-4	$\log_{11} (n + 7) - 8 = - 4$
49177	Solve for m	8pi=256pi*m/360	$8 π = 256 π \cdot \frac{m}{360}$
49178	Solve for m	8pi=64pi*m/360	$8 π = 64 π \cdot \frac{m}{360}$
49179	Solve for m	m^2-16m+86=-8	$m^{2} - 16 m + 86 = - 8$
49180	Solve for m	sin(m)=104/185	$\sin (m) = \frac{104}{185}$
49181	Solve for m	sin(30/2)=1/m	$\sin (\frac{30}{2}) = \frac{1}{m}$
49182	Solve for m	sin(32 degrees )^2+cos(m)^2=1	$\sin^{2} (32 °) + \cos^{2} (m) = 1$
49183	Solve for L	T=2pi square root of L/g	$T = 2 π \sqrt{\frac{L}{g}}$
49184	Solve for c	y=sin(1/2)(x-c)	$y = \sin (\frac{1}{2} (x - c))$
49185	Solve for d	de=12/(tan(19 degrees ))	$d e = \frac{12}{\tan (19 °)}$
49186	Solve for d	d=2/2cot(1.386666667/2)	$d = \frac{2}{2} \cot (\frac{1.386666667}{2})$
49187	Solve for C	(sin(51))/175=(sin(76))/C	$\frac{\sin (51)}{175} = \frac{\sin (76)}{C}$
49188	Solve for c	4^2+8^2=c^2	$4^{2} + 8^{2} = c^{2}$
49189	Solve for c	40^2+9^2=c^2	$40^{2} + 9^{2} = c^{2}$
49190	Solve for b	7^2+b^2=8^2	$7^{2} + b^{2} = 8^{2}$
49191	Solve for B	y=cos(B)(x-C)	$y = \cos (B (x - C))$
49192	Solve for b	c=2pi square root of (a^2+b^2)/2	$c = 2 π \sqrt{\frac{a^{2} + b^{2}}{2}}$
49193	Solve for B	cos(B)=((7)^2+(10.35513349)^2-(12)^2)/(2(7)(10.35513349))	$\cos (B) = \frac{{(7)}^{2} + {(10.35513349)}^{2} - {(12)}^{2}}{2 (7) (10.35513349)}$
49194	Solve for b	b^2-16b+64=19	$b^{2} - 16 b + 64 = 19$
49195	Solve for B	B=arccos(-0.1375)	$B = \arccos (- 0.1375)$
49196	Solve for B	cos(B)=11/18	$\cos (B) = \frac{11}{18}$
49197	Solve for B	cos(B)=(5^2+8^2-8^2)/(258)	$\cos (B) = \frac{5^{2} + 8^{2} - 8^{2}}{2 \cdot 5 \cdot 8}$
49198	Solve for B	sin(B)=0.4848	$\sin (B) = 0.4848$
49199	Solve for b	12^2+b^2=20^2	$12^{2} + b^{2} = 20^{2}$
49200	Solve for b	2^2+b^2=3^2	$2^{2} + b^{2} = 3^{2}$