Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
42901	Find the Trig Value	cos(theta)=24/25	$\cos (θ) = \frac{24}{25}$
42902	Find the Trig Value	cos(theta)=12/13	$\cos (θ) = \frac{12}{13}$
42903	Find the Trig Value	sin(theta)=1/4 , cos(theta)=( square root of 15)/4	$\sin (θ) = \frac{1}{4}$ , $\cos (θ) = \frac{\sqrt{15}}{4}$
42904	Find the Trig Value	sec(theta)=25/24	$\sec (θ) = \frac{25}{24}$
42905	Find the Trig Value	sec(theta)=5/3	$\sec (θ) = \frac{5}{3}$
42906	Find the Slope for Each Equation	y=6x , y=x+3	$y = 6 x$ , $y = x + 3$
42907	Evaluate the Function	f(x)=3x^3+x^2-3xf'(x)	$f (x) = 3 x^{3} + x^{2} - 3 x f' (x)$
42908	Evaluate the Function	f(2)=2x^4-8x^2+5x-7	$f (2) = 2 x^{4} - 8 x^{2} + 5 x - 7$
42909	Evaluate the Function	f(x)=cos(-2pi)	$f (x) = \cos (- 2 π)$
42910	Evaluate the Function	f(x)=2x-3	$f (x) = 2 x - 3$
42911	Evaluate the Function	f(x)=1/(x^3)	$f (x) = \frac{1}{x^{3}}$
42912	Find the Derivative Using Product Rule - d/d@VAR	f(x)=(5x^5+5)(-2x^5-3)	$f (x) = (5 x^{5} + 5) (- 2 x^{5} - 3)$
42913	Determine if Rational	square root of 81	$\sqrt{81}$
42914	Determine if Rational	square root of 32	$\sqrt{32}$
42915	Determine if Rational	square root of 45	$\sqrt{45}$
42916	Find Trig Functions Using Identities	tan(theta)*cos(theta)=sin(theta)	$\tan (θ) \cdot \cos (θ) = \sin (θ)$
42917	Find the Determinant	[[-6,-6,1],[3,-5,-2],[4,3,-3]]	$[\begin{array}{c} - 6 & - 6 & 1 \\ 3 & - 5 & - 2 \\ 4 & 3 & - 3 \end{array}]$
42918	Find the Degree	u=-3i+8j	$u = - 3 i + 8 j$
42919	Find the Degree	tan(theta)=2/5	$\tan (θ) = \frac{2}{5}$
42920	Find the Range	y=3/(x-1)	$y = \frac{3}{x - 1}$
42921	Expand Using Pascal's Triangle	(x+h)^3	${(x + h)}^{3}$
42922	Expand Using Pascal's Triangle	(x+4y)^3	${(x + 4 y)}^{3}$
42923	Expand Using Pascal's Triangle	(9x-3)^4	${(9 x - 3)}^{4}$
42924	Expand Using Pascal's Triangle	(3x+4y)^5	${(3 x + 4 y)}^{5}$
42925	Expand Using Pascal's Triangle	(3x+y)^4	${(3 x + y)}^{4}$
42926	Expand Using Pascal's Triangle	(3x-1)^5	${(3 x - 1)}^{5}$
42927	Expand Using Pascal's Triangle	(2x-1)^5	${(2 x - 1)}^{5}$
42928	Simplify the Matrix	[[-3],[-4],[2],[-5]]+[[5],[-6],[4],[4]]-[[-5],[6],[-2],[-2]]	$[\begin{array}{c} - 3 \\ - 4 \\ 2 \\ - 5 \end{array}] + [\begin{array}{c} 5 \\ - 6 \\ 4 \\ 4 \end{array}] - [\begin{array}{c} - 5 \\ 6 \\ - 2 \\ - 2 \end{array}]$
42929	Write in Standard Form	4x^2+8y^2-8x+48y+44=0	$4 x^{2} + 8 y^{2} - 8 x + 48 y + 44 = 0$
42930	Write in Standard Form	4x^2-25y^2-40x+200=0	$4 x^{2} - 25 y^{2} - 40 x + 200 = 0$
42931	Write in Standard Form	4x^2-9y^2-32x+100=0	$4 x^{2} - 9 y^{2} - 32 x + 100 = 0$
42932	Write in Standard Form	4x^2-8x+144y+36y^2+4=0	$4 x^{2} - 8 x + 144 y + 36 y^{2} + 4 = 0$
42933	Write in Standard Form	4x^2+y^2-48x+140=0	$4 x^{2} + y^{2} - 48 x + 140 = 0$
42934	Write in Standard Form	4x^2+y^2-64x-12y+276=0	$4 x^{2} + y^{2} - 64 x - 12 y + 276 = 0$
42935	Write in Standard Form	3x^2+4y^2-36x+32y+160=0	$3 x^{2} + 4 y^{2} - 36 x + 32 y + 160 = 0$
42936	Write in Standard Form	49x^2+y^2=49	$49 x^{2} + y^{2} = 49$
42937	Write in Standard Form	49x^2+64y^2-294x+128y-2631=0	$49 x^{2} + 64 y^{2} - 294 x + 128 y - 2631 = 0$
42938	Write in Standard Form	16x^2-9y^2-96x+288=0	$16 x^{2} - 9 y^{2} - 96 x + 288 = 0$
42939	Write in Standard Form	2y^2+4y+x-8=0	$2 y^{2} + 4 y + x - 8 = 0$
42940	Write in Standard Form	2x^2-y^2+4x+4y-4=0	$2 x^{2} - y^{2} + 4 x + 4 y - 4 = 0$
42941	Write in Standard Form	2x+3y=6	$2 x + 3 y = 6$
42942	Write in Standard Form	(x-3)^2+y^2=9	${(x - 3)}^{2} + y^{2} = 9$
42943	Write in Standard Form	((x+3)^2)/16+((y+1)^2)/4=1	$\frac{{(x + 3)}^{2}}{16} + \frac{{(y + 1)}^{2}}{4} = 1$
42944	Write in Standard Form	16x^2+9y^2+64x-90y+145=0	$16 x^{2} + 9 y^{2} + 64 x - 90 y + 145 = 0$
42945	Write in Standard Form	16x^2-25y^2+96x-250y-881=0	$16 x^{2} - 25 y^{2} + 96 x - 250 y - 881 = 0$
42946	Write in Standard Form	25x^2+9y^2=225	$25 x^{2} + 9 y^{2} = 225$
42947	Write in Standard Form	14y+y^2=4x-97	$14 y + y^{2} = 4 x - 97$
42948	Write in Standard Form	9x^2-16y^2+18x+32y-151=0	$9 x^{2} - 16 y^{2} + 18 x + 32 y - 151 = 0$
42949	Write in Standard Form	9x^2-16y^2-18x-32y-151=0	$9 x^{2} - 16 y^{2} - 18 x - 32 y - 151 = 0$
42950	Write in Standard Form	x^2+25y^2-12x-100y+111=0	$x^{2} + 25 y^{2} - 12 x - 100 y + 111 = 0$
42951	Write in Standard Form	r=8	$r = 8$
42952	Write in Standard Form	9x^2-4y^2-72x+180=0	$9 x^{2} - 4 y^{2} - 72 x + 180 = 0$
42953	Write in Standard Form	9y^2+108y+4x^2-56x=-484	$9 y^{2} + 108 y + 4 x^{2} - 56 x = - 484$
42954	Write in Standard Form	5x^2-4y^2+20x+8y-4=0	$5 x^{2} - 4 y^{2} + 20 x + 8 y - 4 = 0$
42955	Write in Standard Form	4y^2-338x+32y=-169x^2+443	$4 y^{2} - 338 x + 32 y = - 169 x^{2} + 443$
42956	Write in Standard Form	6x^2-12x+6y^2+36y=36	$6 x^{2} - 12 x + 6 y^{2} + 36 y = 36$
42957	Write in Standard Form	81x^2-36y^2=2916	$81 x^{2} - 36 y^{2} = 2916$
42958	Write in Standard Form	81x^2-y^2-810x-10y+2009=0	$81 x^{2} - y^{2} - 810 x - 10 y + 2009 = 0$
42959	Write in Standard Form	8x+32y+y^2=-263-x^2	$8 x + 32 y + y^{2} = - 263 - x^{2}$
42960	Write in Standard Form	-9x^2+4y^2-18x+16y-29=0	$- 9 x^{2} + 4 y^{2} - 18 x + 16 y - 29 = 0$
42961	Write in Standard Form	x^2+9y^2+6x-90y+225=0	$x^{2} + 9 y^{2} + 6 x - 90 y + 225 = 0$
42962	Write in Standard Form	x^2+8x-4y-4=0	$x^{2} + 8 x - 4 y - 4 = 0$
42963	Write in Standard Form	x^2+y^2+20x-10y+4=0	$x^{2} + y^{2} + 20 x - 10 y + 4 = 0$
42964	Write in Standard Form	x^2+y^2+4x-2y-4=0	$x^{2} + y^{2} + 4 x - 2 y - 4 = 0$
42965	Write in Standard Form	x^2+4x+y+3=0	$x^{2} + 4 x + y + 3 = 0$
42966	Write in Standard Form	x^2+4x+6y-2=0	$x^{2} + 4 x + 6 y - 2 = 0$
42967	Write in Standard Form	x^2+3y^2-12y+9=0	$x^{2} + 3 y^{2} - 12 y + 9 = 0$
42968	Write in Standard Form	-x^2+3y^2-4x+6y=28	$- x^{2} + 3 y^{2} - 4 x + 6 y = 28$
42969	Write in Standard Form	x^2+y^2-49=0	$x^{2} + y^{2} - 49 = 0$
42970	Write in Standard Form	x^2+y^2-3x+8y=20	$x^{2} + y^{2} - 3 x + 8 y = 20$
42971	Write in Standard Form	x^2+y^2-10x+2y+16=0	$x^{2} + y^{2} - 10 x + 2 y + 16 = 0$
42972	Write in Standard Form	x^2=16y	$x^{2} = 16 y$
42973	Write in Standard Form	x^2=9y	$x^{2} = 9 y$
42974	Write in Standard Form	x^2-25y^2+8x=9	$x^{2} - 25 y^{2} + 8 x = 9$
42975	Write in Standard Form	x^2-6x-8y-31=0	$x^{2} - 6 x - 8 y - 31 = 0$
42976	Write in Standard Form	y^2-14x-4y-66=0	$y^{2} - 14 x - 4 y - 66 = 0$
42977	Write in Standard Form	y^2-4x-10y+17=0	$y^{2} - 4 x - 10 y + 17 = 0$
42978	Write in Standard Form	y^2-6y+8x+9=0	$y^{2} - 6 y + 8 x + 9 = 0$
42979	Write in Standard Form	y^2-6y+12x+9=0	$y^{2} - 6 y + 12 x + 9 = 0$
42980	Write in Standard Form	x^2-y^2-8x-12y-21=0	$x^{2} - y^{2} - 8 x - 12 y - 21 = 0$
42981	Write in Standard Form	y^2+4x-16y+72=0	$y^{2} + 4 x - 16 y + 72 = 0$
42982	Write in Standard Form	y^2+5x-2y-24=0	$y^{2} + 5 x - 2 y - 24 = 0$
42983	Write in Standard Form	y^2+4y+4x+12=0	$y^{2} + 4 y + 4 x + 12 = 0$
42984	Write in Standard Form	y^2-10y+16x+25=0	$y^{2} - 10 y + 16 x + 25 = 0$
42985	Write in Standard Form	y=(x-8)^2+8	$y = {(x - 8)}^{2} + 8$
42986	Write in Standard Form	y=27x^2-216x+450	$y = 27 x^{2} - 216 x + 450$
42987	Find the Roots/Zeros Using the Rational Roots Test	4x^4+8x^3-7x^2-21x-9	$4 x^{4} + 8 x^{3} - 7 x^{2} - 21 x - 9$
42988	Identify the Sequence	1/2 , -1/10 , 1/50 , -1/250	$\frac{1}{2}$ , $- \frac{1}{10}$ , $\frac{1}{50}$ , $- \frac{1}{250}$
42989	Identify the Sequence	12 , 30 , 75 , 187.5	$12$ , $30$ , $75$ , $187.5$
42990	Identify the Sequence	-1 , 1 , 3 , 5 , 7	$- 1$ , $1$ , $3$ , $5$ , $7$
42991	Identify the Sequence	21 , 11 , 1 , -9	$21$ , $11$ , $1$ , $- 9$
42992	Write as a Single Logarithm	e^(2x)-6e^x+5=0	$e^{2 x} - 6 e^{x} + 5 = 0$
42993	Write as a Single Logarithm	4 log of 3-4 log of 8	$4 \log (3) - 4 \log (8)$
42994	Write as a Single Logarithm	7( log of x- log of y)	$7 (\log (x) - \log (y))$
42995	Write as a Single Logarithm	3/4 log base 2 of x-3/2 log base 2 of x+2 log base 2 of x	$\frac{3}{4} \log_{2} (x) - \frac{3}{2} \log_{2} (x) + 2 \log_{2} (x)$
42996	Identify the Sequence	6 , -12 , 18 , -24	$6$ , $- 12$ , $18$ , $- 24$
42997	Write as a Single Logarithm	2 log base b of q+3 log base b of y	$2 \log_{b} (q) + 3 \log_{b} (y)$
42998	Write as a Single Logarithm	log base a of 5+ log base a of x^3-2+ log base a of 3	$\log_{a} (5) + \log_{a} (x^{3} - 2) + \log_{a} (3)$
42999	Write as a Single Logarithm	log of 3- log of 8	$\log (3) - \log (8)$
43000	Write as a Single Logarithm	2( log base 5 of x+2 log base 5 of y-3 log base 5 of z)	$2 (\log_{5} (x) + 2 \log_{5} (y) - 3 \log_{5} (z))$