Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
42501	Find the Roots (Zeros)	f(x)=x^2-4x-2	$f (x) = x^{2} - 4 x - 2$
42502	Evaluate the Function	f(x)=-10x^2+4x , x=11	$f (x) = - 10 x^{2} + 4 x$ , $x = 11$
42503	Evaluate the Function	f(1)=3x^4-x^2+4x-2	$f (1) = 3 x^{4} - x^{2} + 4 x - 2$
42504	Evaluate the Function	f(- square root of 3)=3x^2-4	$f (- \sqrt{3}) = 3 x^{2} - 4$
42505	Evaluate the Function	f(x)=e^2	$f (x) = e^{2}$
42506	Find the Trig Value	sin(theta)=1/3	$\sin (θ) = \frac{1}{3}$
42507	Find the Trig Value	cos(theta)=3/7	$\cos (θ) = \frac{3}{7}$
42508	Find the Trig Value	cos(90 degrees -theta)	$\cos (90 ° - θ)$
42509	Find the Trig Value	cot(theta)=8/6	$\cot (θ) = \frac{8}{6}$
42510	Find the Trig Value	cos(theta)=4/7	$\cos (θ) = \frac{4}{7}$
42511	Find the Trig Value	sin(theta)=3/8	$\sin (θ) = \frac{3}{8}$
42512	Find the Trig Value	cos(79 degrees 15')	$\cos (79 ° 15')$
42513	Find the Trig Value	cos(theta)=4/5 , 270 degrees <theta<360 degrees	$\cos (θ) = \frac{4}{5}$ , $270 ° < θ < 360 °$
42514	Find the Trig Value	cos(theta)=-24/25	$\cos (θ) = - \frac{24}{25}$
42515	Find the Trig Value	tan(theta)=-4/3	$\tan (θ) = - \frac{4}{3}$
42516	Find Trig Functions Using Identities	sin(theta)^2-cos(theta)^2=1+cos(theta)	$\sin^{2} (θ) - \cos^{2} (θ) = 1 + \cos (θ)$
42517	Determine if Rational	square root of 11	$\sqrt{11}$
42518	Find Trig Functions Using Identities	(-21/29,20/29)	$(- \frac{21}{29}, \frac{20}{29})$
42519	Find Trig Functions Using Identities	sin(theta)=4/5	$\sin (θ) = \frac{4}{5}$
42520	Determine if Odd, Even, or Neither	f(x)=x^3-3x	$f (x) = x^{3} - 3 x$
42521	Determine if Odd, Even, or Neither	f(x) = cube root of 4x^2	$f (x) = \sqrt[3]{4 x^{2}}$
42522	Determine if Odd, Even, or Neither	f(x)=3x^2-4	$f (x) = 3 x^{2} - 4$
42523	Find the Eccentricity	7x^2+2y^2=14	$7 x^{2} + 2 y^{2} = 14$
42524	Find the Eccentricity	((x-7)^2)/25-((y-2)^2)/4=1	$\frac{{(x - 7)}^{2}}{25} - \frac{{(y - 2)}^{2}}{4} = 1$
42525	Determine if Odd, Even, or Neither	g(x)=-6x^4+3x^2	$g (x) = - 6 x^{4} + 3 x^{2}$
42526	Identify the Zeros and Their Multiplicities	2x^4-13x^3-16x^2+243x-116	$2 x^{4} - 13 x^{3} - 16 x^{2} + 243 x - 116$
42527	Determine if Rational	f(x)=3x-4+2x^2	$f (x) = 3 x - 4 + 2 x^{2}$
42528	Solve by Addition/Elimination	3x-y=1 , 5x+3y=11	$3 x - y = 1$ , $5 x + 3 y = 11$
42529	Expand Using Pascal's Triangle	(3x-2y)^5	${(3 x - 2 y)}^{5}$
42530	Write in Standard Form	y=-3(x-1)(x+7)	$y = - 3 (x - 1) (x + 7)$
42531	Write in Standard Form	x^2-y^2-6x-8y-8=0	$x^{2} - y^{2} - 6 x - 8 y - 8 = 0$
42532	Write in Standard Form	x^2-y^2-8x-4y-4=0	$x^{2} - y^{2} - 8 x - 4 y - 4 = 0$
42533	Write in Standard Form	y^2-6y+16x+9=0	$y^{2} - 6 y + 16 x + 9 = 0$
42534	Write in Standard Form	y^2-2x-2y-9=0	$y^{2} - 2 x - 2 y - 9 = 0$
42535	Write in Standard Form	y^2-2x+16y+56=0	$y^{2} - 2 x + 16 y + 56 = 0$
42536	Write in Standard Form	x^2=12y	$x^{2} = 12 y$
42537	Write in Standard Form	x^2+y^2-8x-6y-39=0	$x^{2} + y^{2} - 8 x - 6 y - 39 = 0$
42538	Write in Standard Form	x^2+y^2-6y-7=0	$x^{2} + y^{2} - 6 y - 7 = 0$
42539	Write in Standard Form	x^2+y^2-8x+10y+15=0	$x^{2} + y^{2} - 8 x + 10 y + 15 = 0$
42540	Write in Standard Form	x^2+y^2+4x-8y+11=0	$x^{2} + y^{2} + 4 x - 8 y + 11 = 0$
42541	Write in Standard Form	x^2+y^2-10x-8y+29=0	$x^{2} + y^{2} - 10 x - 8 y + 29 = 0$
42542	Write in Standard Form	x^2+y^2=5y	$x^{2} + y^{2} = 5 y$
42543	Write in Standard Form	x^2+y^2-6x+12y+20=0	$x^{2} + y^{2} - 6 x + 12 y + 20 = 0$
42544	Write in Standard Form	x^2+2x-2y+11=0	$x^{2} + 2 x - 2 y + 11 = 0$
42545	Write in Standard Form	x^2+4x-y+7=0	$x^{2} + 4 x - y + 7 = 0$
42546	Write in Standard Form	x^2+6x+8y-15=0	$x^{2} + 6 x + 8 y - 15 = 0$
42547	Write in Standard Form	-x^2+4y^2-2x-16y+11=0	$- x^{2} + 4 y^{2} - 2 x - 16 y + 11 = 0$
42548	Write in Standard Form	x^2+y^2+2x-2y-2=0	$x^{2} + y^{2} + 2 x - 2 y - 2 = 0$
42549	Write in Standard Form	x^2+9y^2+6x-18y+9=0	$x^{2} + 9 y^{2} + 6 x - 18 y + 9 = 0$
42550	Write in Standard Form	9x^2+36y^2-144x+252=0	$9 x^{2} + 36 y^{2} - 144 x + 252 = 0$
42551	Write in Standard Form	9x^2+4y^2+90x+8y+193=0	$9 x^{2} + 4 y^{2} + 90 x + 8 y + 193 = 0$
42552	Write in Standard Form	9x^2+25y^2+90x+100y+100=0	$9 x^{2} + 25 y^{2} + 90 x + 100 y + 100 = 0$
42553	Write in Standard Form	9x^2+25y^2-18x-150y+9=0	$9 x^{2} + 25 y^{2} - 18 x - 150 y + 9 = 0$
42554	Write in Standard Form	7x^2+7y^2+3=31	$7 x^{2} + 7 y^{2} + 3 = 31$
42555	Write in Standard Form	6x^2+3y^2-12x+12y+6=0	$6 x^{2} + 3 y^{2} - 12 x + 12 y + 6 = 0$
42556	Write in Standard Form	4x^2-9y^2-8x-36y-68=0	$4 x^{2} - 9 y^{2} - 8 x - 36 y - 68 = 0$
42557	Write in Standard Form	9x^2-54x+25y^2+100y-44=0	$9 x^{2} - 54 x + 25 y^{2} + 100 y - 44 = 0$
42558	Write in Standard Form	x^2+12x+3y^2-12y=-3	$x^{2} + 12 x + 3 y^{2} - 12 y = - 3$
42559	Write in Standard Form	9x^2+y^2+72x-2y+136=0	$9 x^{2} + y^{2} + 72 x - 2 y + 136 = 0$
42560	Write in Standard Form	10x^2-4xy+6y^2-8x+8y=0	$10 x^{2} - 4 x y + 6 y^{2} - 8 x + 8 y = 0$
42561	Write in Standard Form	16x^2+9y^2=144	$16 x^{2} + 9 y^{2} = 144$
42562	Write in Standard Form	16x^2+4y^2=64	$16 x^{2} + 4 y^{2} = 64$
42563	Write in Standard Form	16x^2+25y^2-64x+50y-311=0	$16 x^{2} + 25 y^{2} - 64 x + 50 y - 311 = 0$
42564	Write in Standard Form	16x^2+25y^2-96x+100y-156=0	$16 x^{2} + 25 y^{2} - 96 x + 100 y - 156 = 0$
42565	Write in Standard Form	(x-3)^2=8(y+1)	${(x - 3)}^{2} = 8 (y + 1)$
42566	Write in Standard Form	(x-4)^2+y^2=16	${(x - 4)}^{2} + y^{2} = 16$
42567	Write in Standard Form	3x^2+y^2=9	$3 x^{2} + y^{2} = 9$
42568	Write in Standard Form	36x^2+5y^2-90y-495=0	$36 x^{2} + 5 y^{2} - 90 y - 495 = 0$
42569	Write in Standard Form	36x^2+100y^2-216x+400y-2876=0	$36 x^{2} + 100 y^{2} - 216 x + 400 y - 2876 = 0$
42570	Write in Standard Form	4x^2-25y^2-16x+116=0	$4 x^{2} - 25 y^{2} - 16 x + 116 = 0$
42571	Write in Standard Form	4x^2-25y^2-24x+136=0	$4 x^{2} - 25 y^{2} - 24 x + 136 = 0$
42572	Write in Standard Form	4x^2+y^2-24x+4y+24=0	$4 x^{2} + y^{2} - 24 x + 4 y + 24 = 0$
42573	Write in Standard Form	4x^2-9y^2=36	$4 x^{2} - 9 y^{2} = 36$
42574	Write in Standard Form	4x^2+4y^2+32y-36=0	$4 x^{2} + 4 y^{2} + 32 y - 36 = 0$
42575	Write in Standard Form	4x^2+9y^2-24x+72y+144=0	$4 x^{2} + 9 y^{2} - 24 x + 72 y + 144 = 0$
42576	Find the 5th Term	11 , -44 , 176	$11$ , $- 44$ , $176$
42577	Find the Determinant	[[1/2,-1/2,0],[-1/2,0,1/2],[0,1/2,0]]	$[\begin{array}{c} \frac{1}{2} & - \frac{1}{2} & 0 \\ - \frac{1}{2} & 0 & \frac{1}{2} \\ 0 & \frac{1}{2} & 0 \end{array}]$
42578	Find the Determinant	[[-1.1,0.6],[-7.2,-0.5]]	$[\begin{array}{c} - 1.1 & 0.6 \\ - 7.2 & - 0.5 \end{array}]$
42579	Find the Determinant	[[10,0.2],[5,0.1]]	$[\begin{array}{c} 10 & 0.2 \\ 5 & 0.1 \end{array}]$
42580	Find the Determinant	[[6,9,2],[9,9,8],[1,2,10]]	$[\begin{array}{c} 6 & 9 & 2 \\ 9 & 9 & 8 \\ 1 & 2 & 10 \end{array}]$
42581	Find the Determinant	[[-9,-2],[8,5]]	$[\begin{array}{c} - 9 & - 2 \\ 8 & 5 \end{array}]$
42582	Write as a Single Logarithm	2 log of a-3 log of b+ log of c-4 log of d	$2 \log (a) - 3 \log (b) + \log (c) - 4 \log (d)$
42583	Write as a Single Logarithm	natural log of (x-1)/x+ natural log of x/(x+1)- natural log of x^2-1	$\ln (\frac{x - 1}{x}) + \ln (\frac{x}{x + 1}) - \ln (x^{2} - 1)$
42584	Identify the Sequence	4 , 6 , 8 , 10 , 12	$4$ , $6$ , $8$ , $10$ , $12$
42585	Solve Using the Square Root Property	9x^2-169=0	$9 x^{2} - 169 = 0$
42586	Write as a Single Logarithm	6 log of x+5 log of x-8	$6 \log (x) + 5 \log (x - 8)$
42587	Write as a Single Logarithm	5 log base b of 2x- log base b of x =	$5 \log_{b} (2 x) - \log_{b} (x) =$
42588	Write as a Single Logarithm	3 log base 2 of a-1/4 log base 2 of b+ log base 2 of c	$3 \log_{2} (a) - \frac{1}{4} \log_{2} (b) + \log_{2} (c)$
42589	Write as a Single Logarithm	4 log of x-2 log of x-3	$4 \log (x) - 2 \log (x - 3)$
42590	Find the x and y Intercepts	4x^2+24x+4y^2=0	$4 x^{2} + 24 x + 4 y^{2} = 0$
42591	Find the x and y Intercepts	5x^2+40x+5y^2=0	$5 x^{2} + 40 x + 5 y^{2} = 0$
42592	Find the x and y Intercepts	y=4*(1/2)^x	$y = 4 \cdot {(\frac{1}{2})}^{x}$
42593	Solve by Factoring	e^(2x)-8e^x+7=0	$e^{2 x} - 8 e^{x} + 7 = 0$
42594	Convert to a Simplified Fraction	square root of 73	$\sqrt{73}$
42595	Convert to a Simplified Fraction	square root of 54	$\sqrt{54}$
42596	Write in Standard Form	(1/2+( square root of 3)/2i)^3	${(\frac{1}{2} + \frac{\sqrt{3}}{2} i)}^{3}$
42597	Write in Standard Form	(1-i)^7	${(1 - i)}^{7}$
42598	Write in Standard Form	(-1-i)^3	${(- 1 - i)}^{3}$
42599	Find the Properties	x^2-3y^2-8x+12y+16=0	$x^{2} - 3 y^{2} - 8 x + 12 y + 16 = 0$
42600	Find the Maximum/Minimum Value	r=3+2sin(theta)	$r = 3 + 2 \sin (θ)$