Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
42101	Find the Asymptotes	f(x)=(x-7)/(x-2)	$f (x) = \frac{x - 7}{x - 2}$
42102	Find the Asymptotes	f(x) = log base 2 of x-1	$f (x) = \log_{2} (x - 1)$
42103	Find the Asymptotes	f(x)=3^(x-2)-1	$f (x) = 3^{x - 2} - 1$
42104	Find the Asymptotes	f(x)=(x-2)/(x-4)	$f (x) = \frac{x - 2}{x - 4}$
42105	Find the Asymptotes	f(x)=(3x^2-4x-7)/(5x^2-2x-7)	$f (x) = \frac{3 x^{2} - 4 x - 7}{5 x^{2} - 2 x - 7}$
42106	Find the Asymptotes	f(x)=(4x^2+8x-9)/(2x+1)	$f (x) = \frac{4 x^{2} + 8 x - 9}{2 x + 1}$
42107	Find the Asymptotes	f(x)=(x^2)/(x^2-9)	$f (x) = \frac{x^{2}}{x^{2} - 9}$
42108	Find the Asymptotes	f(x)=-9/(x-6)	$f (x) = \frac{- 9}{x - 6}$
42109	Find the Asymptotes	f(x)=(7x^3-2x-5)/(2x^2-32)	$f (x) = \frac{7 x^{3} - 2 x - 5}{2 x^{2} - 32}$
42110	Determine if f is the Inverse Function of g	f=((8,9),(0,1),(4,3)) , g=((9,8),(1,7),(3,4))	$f = ((8, 9), (0, 1), (4, 3))$ , $g = ((9, 8), (1, 7), (3, 4))$
42111	Solve for v	v=4i-3j	$v = 4 i - 3 j$
42112	Solve for t	ab^t=c	$a b^{t} = c$
42113	Solve for t	x=t+1	$x = t + 1$
42114	Solve for y	log base 2 of y-7=3+ log base 2 of 3y+1	$\log_{2} (y - 7) = 3 + \log_{2} (3 y + 1)$
42115	Solve for k	4^(3k-2)*4^(-2k)=4^(3k)	$4^{3 k - 2} \cdot 4^{- 2 k} = 4^{3 k}$
42116	Solve for m	10 = square root of m/10	$10 = \sqrt{\frac{m}{10}}$
42117	Solve for k	x^2+(y-k)^2=21	$x^{2} + {(y - k)}^{2} = 21$
42118	Solve for t	2500=500e^(0.06t)	$2500 = 500 e^{0.06 t}$
42119	Solve for r	r=cos(theta)	$r = \cos (θ)$
42120	Solve for r	rsin(theta)=3	$r \sin (θ) = 3$
42121	Solve for r	r=5/(1+cos(theta))	$r = \frac{5}{1 + \cos (θ)}$
42122	Solve for P	P(5)=450/(1+5e^(-0.45(5)))	$P (5) = \frac{450}{1 + 5 e^{- 0.45 (5)}}$
42123	Solve for n	n^3-3n^2-n+3=0	$n^{3} - 3 n^{2} - n + 3 = 0$
42124	Solve for p	1/(p+4)=(p-2)/(p^2+4p)+(3p-3)/(2p^2+8p)	$\frac{1}{p + 4} = \frac{p - 2}{p^{2} + 4 p} + \frac{3 p - 3}{2 p^{2} + 8 p}$
42125	Solve for b	(2pi)/b=1	$\frac{2 π}{b} = 1$
42126	Solve for a	a^2+4a-12=0	$a^{2} + 4 a - 12 = 0$
42127	Identify the Conic	13x^2+6 square root of 3xy+7y^2-16=0	$13 x^{2} + 6 \sqrt{3} x y + 7 y^{2} - 16 = 0$
42128	Convert Degrees, Minutes, Seconds to Decimal Degrees	48 degrees 30'36''	$48 ° 30' 36''$
42129	Rationalize the Denominator	1/( square root of 2y-1)	$\frac{1}{\sqrt{2 y - 1}}$
42130	Find the Equation Given the Roots	-2i	$- 2 i$
42131	Find the Roots (Zeros)	2x^4-x^3+49x^2-25x-25	$2 x^{4} - x^{3} + 49 x^{2} - 25 x - 25$
42132	Find the Roots (Zeros)	x^3-4x^2+x-4	$x^{3} - 4 x^{2} + x - 4$
42133	Find the Roots (Zeros)	x^4+4x^2	$x^{4} + 4 x^{2}$
42134	Find the Roots (Zeros)	11x^3-x^2+11x-1	$11 x^{3} - x^{2} + 11 x - 1$
42135	Find the Vertex	f(x)=-3x^2+15x+1	$f (x) = - 3 x^{2} + 15 x + 1$
42136	Find the Vertex	f(x)=2x^2-4x+7	$f (x) = 2 x^{2} - 4 x + 7$
42137	Divide Using Synthetic Division	(x^3-8x+7)/(x-2)	$\frac{x^{3} - 8 x + 7}{x - 2}$
42138	Find the Other Trig Values in Quadrant I	cos(theta)=1/5	$\cos (θ) = \frac{1}{5}$
42139	Find the Center and Radius	x^2+(y-3)^2=21	$x^{2} + {(y - 3)}^{2} = 21$
42140	Find the Center and Radius	x^2+4x+y^2-5=0	$x^{2} + 4 x + y^{2} - 5 = 0$
42141	Find the Center and Radius	4x^2+4y^2+160x-120y=0	$4 x^{2} + 4 y^{2} + 160 x - 120 y = 0$
42142	Find the Center and Radius	x^2+y^2+6x-4y=0	$x^{2} + y^{2} + 6 x - 4 y = 0$
42143	Find the Center and Radius	x^2+y^2+6x-16y=0	$x^{2} + y^{2} + 6 x - 16 y = 0$
42144	Find the Center and Radius	x^2+y^2+8x-4y-1=0	$x^{2} + y^{2} + 8 x - 4 y - 1 = 0$
42145	Find the Center and Radius	x^2+y^2+10x-8y-8=0	$x^{2} + y^{2} + 10 x - 8 y - 8 = 0$
42146	Find the Center and Radius	x^2+y^2+10x-14y=-25	$x^{2} + y^{2} + 10 x - 14 y = - 25$
42147	Find the Center and Radius	x^2+y^2+10x-12y=-36	$x^{2} + y^{2} + 10 x - 12 y = - 36$
42148	Find the Center and Radius	x^2+6x+4y+5=0	$x^{2} + 6 x + 4 y + 5 = 0$
42149	Find the Center and Radius	x^2+y^2+2x-12y+17=0	$x^{2} + y^{2} + 2 x - 12 y + 17 = 0$
42150	Find the Center and Radius	x^2+y^2-8x+2y-23=0	$x^{2} + y^{2} - 8 x + 2 y - 23 = 0$
42151	Find the Center and Radius	x^2+y^2-8x-16y+16=0	$x^{2} + y^{2} - 8 x - 16 y + 16 = 0$
42152	Simplify/Condense	1/2( log of a+ log of b)	$\frac{1}{2} (\log (a) + \log (b))$
42153	Find the Center and Radius	x^2+y^2=18	$x^{2} + y^{2} = 18$
42154	Find the Center and Radius	x^2+y^2-10x+2y+25=0	$x^{2} + y^{2} - 10 x + 2 y + 25 = 0$
42155	Find the Center and Radius	x^2+y^2-4x-14=0	$x^{2} + y^{2} - 4 x - 14 = 0$
42156	Find the Center and Radius	(x+5)^2+(y+7)^2=81	${(x + 5)}^{2} + {(y + 7)}^{2} = 81$
42157	Find the Center and Radius	(x+3)^2+(y-6)^2=24	${(x + 3)}^{2} + {(y - 6)}^{2} = 24$
42158	Find the Center and Radius	(x-2)^2+(y+5)^2=4	${(x - 2)}^{2} + {(y + 5)}^{2} = 4$
42159	Find the Center and Radius	(x-2)^2+(y-1)^2=4	${(x - 2)}^{2} + {(y - 1)}^{2} = 4$
42160	Find the Inverse	y = square root of x-2	$y = \sqrt{x - 2}$
42161	Find the x and y Intercepts	x^3-2x^2-x+2	$x^{3} - 2 x^{2} - x + 2$
42162	Find the Equation of the Circle	theta=pi/3	$θ = \frac{π}{3}$
42163	Split Using Partial Fraction Decomposition	1/(x(5x+3)(4x^2+1))	$\frac{1}{x (5 x + 3) (4 x^{2} + 1)}$
42164	Solve by Substitution	xy=7x^2+y^2=50	$x y = 7 x^{2} + y^{2} = 50$
42165	Solve by Substitution	x+3y-2z=2x+4z=24x+6y=2	$x + 3 y - 2 z = 2 x + 4 z = 24 x + 6 y = 2$
42166	Solve by Substitution	x^2+xy+2y^2=7 , x-2y=5	$x^{2} + x y + 2 y^{2} = 7$ , $x - 2 y = 5$
42167	Solve by Substitution	x^2+2y^2=900x+y=30	$x^{2} + 2 y^{2} = 900 x + y = 30$
42168	Split Using Partial Fraction Decomposition	(7x+77)/((x-3)^2(x+4))	$\frac{7 x + 77}{{(x - 3)}^{2} (x + 4)}$
42169	Solve by Substitution	y^2-x^2=92x-3=y	$y^{2} - x^{2} = 92 x - 3 = y$
42170	Solve by Substitution	xy=9x^2+y^2=82	$x y = 9 x^{2} + y^{2} = 82$
42171	Find the Roots (Zeros)	2y^4+y^3-33y^2+56y-20=0	$2 y^{4} + y^{3} - 33 y^{2} + 56 y - 20 = 0$
42172	Find the x and y Intercepts	f(x)=x^4-8x^3+16x^2	$f (x) = x^{4} - 8 x^{3} + 16 x^{2}$
42173	Find the x and y Intercepts	f(x)=2x^2+x-6	$f (x) = 2 x^{2} + x - 6$
42174	Find the x and y Intercepts	f(x)=3x-2	$f (x) = 3 x - 2$
42175	Find the Value Using the Unit Circle	sin(75 degrees )	$\sin (75 °)$
42176	Find the Value Using the Unit Circle	-(7pi)/4	$- \frac{7 π}{4}$
42177	Find the Supplement	(11pi)/13	$\frac{11 π}{13}$
42178	Find the Distance Between Two Points	(3,(11pi)/12) , (1,(5pi)/4)	$(3, \frac{11 π}{12})$ , $(1, \frac{5 π}{4})$
42179	Find the Distance Between Two Points	(4,(7pi)/12) , (2,pi/12)	$(4, \frac{7 π}{12})$ , $(2, \frac{π}{12})$
42180	Expand Using De Moivre's Theorem	( square root of 3(cos((5pi)/3)+isin((5pi)/3)))^4	${(\sqrt{3} (\cos (\frac{5 π}{3}) + i \sin (\frac{5 π}{3})))}^{4}$
42181	Find the Inverse	log base 5 of 2x-1	$\log_{5} (2 x - 1)$
42182	Find the Inverse	x-4	$x - 4$
42183	Find the Roots (Zeros)	f(x)=x^3+2x^2-3x-6	$f (x) = x^{3} + 2 x^{2} - 3 x - 6$
42184	Find the Roots (Zeros)	f(x)=x^3+3x^2-7x-21	$f (x) = x^{3} + 3 x^{2} - 7 x - 21$
42185	Find the Roots (Zeros)	f(x)=-sin(2x)+sin(x)	$f (x) = - \sin (2 x) + \sin (x)$
42186	Find the Roots (Zeros)	f(x)=9x^3+9x^2-16x+4	$f (x) = 9 x^{3} + 9 x^{2} - 16 x + 4$
42187	Find the Roots (Zeros)	f(x)=-4x^3+15x^2-8x-3	$f (x) = - 4 x^{3} + 15 x^{2} - 8 x - 3$
42188	Find the Roots (Zeros)	f(x)=2x^2-9x-35	$f (x) = 2 x^{2} - 9 x - 35$
42189	Find the Roots (Zeros)	g(x)=e^x+12e^(-x)-7	$g (x) = e^{x} + 12 e^{- x} - 7$
42190	Find the Roots (Zeros)	g(x)=2e^x+6e^(-x)-7	$g (x) = 2 e^{x} + 6 e^{- x} - 7$
42191	Find the Roots (Zeros)	P(x)=x^3-12x-16	$P (x) = x^{3} - 12 x - 16$
42192	Find the Roots (Zeros)	f(x)=x^3-7x^2+9x-24	$f (x) = x^{3} - 7 x^{2} + 9 x - 24$
42193	Find the Roots (Zeros)	f(x)=x^3-6x^2+37x-58	$f (x) = x^{3} - 6 x^{2} + 37 x - 58$
42194	Find the Roots (Zeros)	f(x)=x^3-6x^2+9x-54	$f (x) = x^{3} - 6 x^{2} + 9 x - 54$
42195	Find the Roots (Zeros)	f(x)=x^3-64	$f (x) = x^{3} - 64$
42196	Find the Domain	log of x^2-4	$\log (x^{2} - 4)$
42197	Find the Domain	square root of 3x^2-6x	$\sqrt{3 x^{2} - 6 x}$
42198	Find the Domain	8/x	$\frac{8}{x}$
42199	Find the Inverse	[[8,-4],[2,1]]	$[\begin{array}{c} 8 & - 4 \\ 2 & 1 \end{array}]$
42200	Find the Inverse	[[-2,5],[7,6]]	$[\begin{array}{c} - 2 & 5 \\ 7 & 6 \end{array}]$