Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
134201	Solve the Triangle	a=10 , b=24	$a = 10$ , $b = 24$
134202	Solve the Triangle	c=2pir	$c = 2 π r$
134203	Reduce	((2x^8)/(5y))/((4x^2)/(25y^3))	$\frac{\frac{2 x^{8}}{5 y}}{\frac{4 x^{2}}{25 y^{3}}}$
134204	Reduce	( seventh root of (a+b)^6)/( square root of a+b)	$\frac{\sqrt[7]{{(a + b)}^{6}}}{\sqrt{a + b}}$
134205	Reduce	(5t-15)/(t^2-9)	$\frac{5 t - 15}{t^{2} - 9}$
134206	Reduce	(8ab^2x)/(4a^2b-8ab^2)	$\frac{8 a b^{2} x}{4 a^{2} b - 8 a b^{2}}$
134207	Reduce	(3t-15)/(t^2-25)	$\frac{3 t - 15}{t^{2} - 25}$
134208	Reduce	(3y^2-3y)/(y-1)	$\frac{3 y^{2} - 3 y}{y - 1}$
134209	Find Trig Functions Using Identities	(sin(2x))/(1+cos(2x))	$\frac{\sin (2 x)}{1 + \cos (2 x)}$
134210	Reduce	(x^2-3x-10)/(x^3+8)	$\frac{x^{2} - 3 x - 10}{x^{3} + 8}$
134211	Reduce	y/(y^2-2y)	$\frac{y}{y^{2} - 2 y}$
134212	Find the Eccentricity	9x^2-16y^2=144	$9 x^{2} - 16 y^{2} = 144$
134213	Find the Eccentricity	(x^2)/4+(y^2)/49=1	$\frac{x^{2}}{4} + \frac{y^{2}}{49} = 1$
134214	Find the Eccentricity	(x^2)/4+(y^2)/25=1	$\frac{x^{2}}{4} + \frac{y^{2}}{25} = 1$
134215	Find the Eccentricity	(x^2)/15+(y^2)/45=1	$\frac{x^{2}}{15} + \frac{y^{2}}{45} = 1$
134216	Find the Local Maxima and Minima	f(x)=-3x^4+7x^3+3x^2-9x-1	$f (x) = - 3 x^{4} + 7 x^{3} + 3 x^{2} - 9 x - 1$
134217	Find the Local Maxima and Minima	f(x)=-4x^4-9x^3+2x^2+7x-2	$f (x) = - 4 x^{4} - 9 x^{3} + 2 x^{2} + 7 x - 2$
134218	Find the Local Maxima and Minima	h(t)=112t-16t^2	$h (t) = 112 t - 16 t^{2}$
134219	Find the Local Maxima and Minima	p(x)=-2x^2+40x-72	$p (x) = - 2 x^{2} + 40 x - 72$
134220	Find Any Equation Perpendicular to the Line	y=7x-7	$y = 7 x - 7$
134221	Find Any Equation Perpendicular to the Line	y=-4x+8	$y = - 4 x + 8$
134222	Find Any Equation Perpendicular to the Line	y=4x-2	$y = 4 x - 2$
134223	Find Any Equation Perpendicular to the Line	y=5x-5	$y = 5 x - 5$
134224	Find Any Equation Perpendicular to the Line	y=3x-5	$y = 3 x - 5$
134225	Find Any Equation Perpendicular to the Line	y=1/3x+4	$y = \frac{1}{3} x + 4$
134226	Find the Trig Value	sec(x) = square root of 2	$\sec (x) = \sqrt{2}$
134227	Find the Trig Value	sin(a)=-12/13 , (3pi)/2<a<2pi ; tan(b)=-20/21 , pi/2<b<pi	$\sin (a) = - \frac{12}{13}$ , $\frac{3 π}{2} < a < 2 π$ ; $\tan (b) = - \frac{20}{21}$ , $\frac{π}{2} < b < π$
134228	Find the Trig Value	sin(x)=2/3	$\sin (x) = \frac{2}{3}$
134229	Find the Variables	[[x-1,3],[2,3y]]=[[2,3],[2,6]]	$[\begin{array}{c} x - 1 & 3 \\ 2 & 3 y \end{array}] = [\begin{array}{c} 2 & 3 \\ 2 & 6 \end{array}]$
134230	Find the Variables	[[12,16],[0,18]]=[[x-y,16],[0,2y+x]]	$[\begin{array}{c} 12 & 16 \\ 0 & 18 \end{array}] = [\begin{array}{c} x - y & 16 \\ 0 & 2 y + x \end{array}]$
134231	Find the Trig Value	cos(1/2)	$\cos (\frac{1}{2})$
134232	Find the LCD	y/(4y+8)-1/(y^2+2y)	$\frac{y}{4 y + 8} - \frac{1}{y^{2} + 2 y}$
134233	Find the Intersection of the Sets	{1,3,5,7} intersect {2,4,6,8,10}	${1, 3, 5, 7} \cap {2, 4, 6, 8, 10}$
134234	Find the LCD	18/(x^2-3x)-6/(x-3)=5/x	$\frac{18}{x^{2} - 3 x} - \frac{6}{x - 3} = \frac{5}{x}$
134235	Find the LCD	1/(x^2+4x-12)+(3x)/(4x-8)	$\frac{1}{x^{2} + 4 x - 12} + \frac{3 x}{4 x - 8}$
134236	Find the LCD	3/(2x-8)(2x)/(5x-20)	$\frac{3}{2 x - 8} \frac{2 x}{5 x - 20}$
134237	Find the LCD	4/97/15	$\frac{4}{9} \frac{7}{15}$
134238	Find the LCD	(5x)/7+1/14=7/28	$\frac{5 x}{7} + \frac{1}{14} = \frac{7}{28}$
134239	Find the Slope and y-intercept	(4,0) , (12,5)	$(4, 0) (12, 5)$
134240	Find the Slope and y-intercept	(3,5) , (2,0)	$(3, 5) (2, 0)$
134241	Find the Slope and y-intercept	(3,-1) , (4,7)	$(3, - 1)$ , $(4, 7)$
134242	Determine if a Polynomial	5x^5	$5 x^{5}$
134243	Determine if a Polynomial	7x^2y-8xy^2+9xy	$7 x^{2} y - 8 x y^{2} + 9 x y$
134244	Determine if a Polynomial	9x	$9 x$
134245	Determine if a Polynomial	f(x)=6x+x^3	$f (x) = 6 x + x^{3}$
134246	Determine if a Polynomial	f(x)=4x+2x^5	$f (x) = 4 x + 2 x^{5}$
134247	Determine if a Polynomial	-3x^2-11+12x^3+7x^2+7	$- 3 x^{2} - 11 + 12 x^{3} + 7 x^{2} + 7$
134248	Determine if a Polynomial	3x+7	$3 x + 7$
134249	Determine if a Polynomial	3x+2x^2-6	$3 x + 2 x^{2} - 6$
134250	Determine if a Polynomial	3x-4	$3 x - 4$
134251	Find the Degree	f(x)=x^4(2-x^3)+1	$f (x) = x^{4} (2 - x^{3}) + 1$
134252	Find the Degree	G(x)=3(x-1)^2(x^2+5)	$G (x) = 3 {(x - 1)}^{2} (x^{2} + 5)$
134253	Find the Degree	G(x)=4(x-1)^2(x^2+2)	$G (x) = 4 {(x - 1)}^{2} (x^{2} + 2)$
134254	Find the Degree	f(x)=2x^7+6x^5+12x+10	$f (x) = 2 x^{7} + 6 x^{5} + 12 x + 10$
134255	Find the Second Term	a_n=3n-8	$a_{n} = 3 n - 8$
134256	Find the Second Term	a_n=5n-6	$a_{n} = 5 n - 6$
134257	Find the Third Term	((2^(n-1))/4)	$(\frac{2^{n - 1}}{4})$
134258	Find the Fourth Term	3 , 9 , 27	$3$ , $9$ , $27$
134259	Find the Fourth Term	-4 , 12 , -36	$- 4$ , $12$ , $- 36$
134260	Find the Fourth Term	10 , 13 , 16	$10$ , $13$ , $16$
134261	Find the Second Term	a_n=2n+7	$a_{n} = 2 n + 7$
134262	Find the Second Term	a_n=3(4)^(n-1)	$a_{n} = 3 {(4)}^{n - 1}$
134263	Find the 6th Term	7 , 21 , 63 , 189	$7$ , $21$ , $63$ , $189$
134264	Find the 6th Term	-4 , 8 , -16 , 32	$- 4$ , $8$ , $- 16$ , $32$
134265	Find the 7th Term	2 , 4 , 8 , 16 , 32	$2$ , $4$ , $8$ , $16$ , $32$
134266	Find the 5th Term	5 , 5/2 , 5/4	$5$ , $\frac{5}{2}$ , $\frac{5}{4}$
134267	Find the 5th Term	-5 , 10 , -20 , 40	$- 5$ , $10$ , $- 20$ , $40$
134268	Find the 5th Term	10 , 40 , 160 , 640	$10$ , $40$ , $160$ , $640$
134269	Find the 5th Term	15 , 17 , 19 , 21	$15$ , $17$ , $19$ , $21$
134270	Find the 6th Term	2 , 10 , 50 , 250 , 1250	$2$ , $10$ , $50$ , $250$ , $1250$
134271	Find the 6th Term	2 , 8 , 14 , 20	$2$ , $8$ , $14$ , $20$
134272	Find the 5th Term	-5 , 10 , -15 , 20	$- 5$ , $10$ , $- 15$ , $20$
134273	Find the 5th Term	6 , 18 , 54 , 162	$6$ , $18$ , $54$ , $162$
134274	Find the 5th Term	square root of 5 , square root of 10 , 2 square root of 5	$\sqrt{5}$ , $\sqrt{10}$ , $2 \sqrt{5}$
134275	Find the Factors Using the Factor Theorem	x^3-7x^2+15x-25 ; x-5	$x^{3} - 7 x^{2} + 15 x - 25$ ; $x - 5$
134276	Find the Prime Factorization	301	$301$
134277	Find the Prime Factorization	194	$194$
134278	Find the Prime Factorization	1350	$1350$
134279	Find the Prime Factorization	561	$561$
134280	Find the Prime Factorization	972	$972$
134281	Find Reduced Row Echelon Form	[[1,0,-3,4],[0,1,2,12],[0,0,1,5]]	$[\begin{array}{c} 1 & 0 & - 3 & 4 \\ 0 & 1 & 2 & 12 \\ 0 & 0 & 1 & 5 \end{array}]$
134282	Find Reduced Row Echelon Form	[[-6,8,0,0],[4,1,9,2]]	$[\begin{array}{c} - 6 & 8 & 0 & 0 \\ 4 & 1 & 9 & 2 \end{array}]$
134283	Find Reduced Row Echelon Form	[[1,-2,4,11],[0,1,2,11],[0,0,1,4]]	$[\begin{array}{c} 1 & - 2 & 4 & 11 \\ 0 & 1 & 2 & 11 \\ 0 & 0 & 1 & 4 \end{array}]$
134284	Solve the Matrix Equation	[[8,5],[3,2]]x=[[2,-1],[3,2]]	$[\begin{array}{c} 8 & 5 \\ 3 & 2 \end{array}] x = [\begin{array}{c} 2 & - 1 \\ 3 & 2 \end{array}]$
134285	Solve the Matrix Equation	3x-2[[1.5,-2.4],[3.6,-0.5]]=[[1.2,-3.6],[0.3,0.4]]	$3 x - 2 [\begin{array}{c} 1.5 & - 2.4 \\ 3.6 & - 0.5 \end{array}] = [\begin{array}{c} 1.2 & - 3.6 \\ 0.3 & 0.4 \end{array}]$
134286	Solve the Matrix Equation	[[4,5],[7,9]]x=[[3,-1],[4,3]]	$[\begin{array}{c} 4 & 5 \\ 7 & 9 \end{array}] x = [\begin{array}{c} 3 & - 1 \\ 4 & 3 \end{array}]$
134287	Find the Function Rule	table[[x,y],[1,1],[2,4],[3,7]]	$\begin{array}{c} x & y \\ 1 & 1 \\ 2 & 4 \\ 3 & 7 \end{array}$
134288	Find the Function Rule	table[[x,y],[1,6],[2,8],[3,10]]	$\begin{array}{c} x & y \\ 1 & 6 \\ 2 & 8 \\ 3 & 10 \end{array}$
134289	Find the Function Rule	table[[x,y],[1,6],[2,12],[3,24]]	$\begin{array}{c} x & y \\ 1 & 6 \\ 2 & 12 \\ 3 & 24 \end{array}$
134290	Find the Function Rule	table[[x,y],[1,-6],[2,-12],[3,-24]]	$\begin{array}{c} x & y \\ 1 & - 6 \\ 2 & - 12 \\ 3 & - 24 \end{array}$
134291	Find the Function Rule	table[[x,y],[1,-7],[2,-10],[3,-13]]	$\begin{array}{c} x & y \\ 1 & - 7 \\ 2 & - 10 \\ 3 & - 13 \end{array}$
134292	Solve the Matrix Equation	[[-20,16],[4,0],[9,-6]]-[[-5,1],[-6,7],[0,11]]=[[x,y],[10,-7],[9,-17]]	$[\begin{array}{c} - 20 & 16 \\ 4 & 0 \\ 9 & - 6 \end{array}] - [\begin{array}{c} - 5 & 1 \\ - 6 & 7 \\ 0 & 11 \end{array}] = [\begin{array}{c} x & y \\ 10 & - 7 \\ 9 & - 17 \end{array}]$
134293	Solve the Matrix Equation	[[-2,1],[0,1]][[x],[y]]=[[4],[2]]	$[\begin{array}{c} - 2 & 1 \\ 0 & 1 \end{array}] [\begin{array}{c} x \\ y \end{array}] = [\begin{array}{c} 4 \\ 2 \end{array}]$
134294	Solve the Matrix Equation	[[1,2],[2,1],[-3,4]]+x=[[5,-6],[1,0],[8,5]]	$[\begin{array}{c} 1 & 2 \\ 2 & 1 \\ - 3 & 4 \end{array}] + x = [\begin{array}{c} 5 & - 6 \\ 1 & 0 \\ 8 & 5 \end{array}]$
134295	Convert to Rectangular	8(cos(300)+isin(300))	$8 (\cos (300) + i \sin (300))$
134296	Convert to Rectangular	6(cos(240)+isin(240))	$6 (\cos (240) + i \sin (240))$
134297	Convert to Rectangular	6(cos(pi)+isin(pi))	$6 (\cos (π) + i \sin (π))$
134298	Convert to Rectangular	5(cos(315)+isin(315))	$5 (\cos (315) + i \sin (315))$
134299	Convert to Rectangular	5(cos(30)+isin(30))	$5 (\cos (30) + i \sin (30))$
134300	Convert to Rectangular	4(cos(90)+isin(90))	$4 (\cos (90) + i \sin (90))$