Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1601	Convert to Rectangular Coordinates	(5,pi/6)	$(5, \frac{π}{6})$
1602	Convert to Rectangular Coordinates	(5,pi/3)	$(5, \frac{π}{3})$
1603	Find the Properties	x^2=-16y	$x^{2} = - 16 y$
1604	Find the Properties	x^2=24y	$x^{2} = 24 y$
1605	Find the Properties	x^2=2y	$x^{2} = 2 y$
1606	Find the Properties	(x^2)/81+(y^2)/225=1	$\frac{x^{2}}{81} + \frac{y^{2}}{225} = 1$
1607	Find the Properties	y^2=-5x	$y^{2} = - 5 x$
1608	Find the Properties	25x^2+9y^2-100x+54y-44=0	$25 x^{2} + 9 y^{2} - 100 x + 54 y - 44 = 0$
1609	Find the Properties	(x^2)/36+(y^2)/25=1	$\frac{x^{2}}{36} + \frac{y^{2}}{25} = 1$
1610	Find the Properties	(x^2)/16-(y^2)/9=1	$\frac{x^{2}}{16} - \frac{y^{2}}{9} = 1$
1611	Find the Properties	((x+2)^2)/64+((y-1)^2)/81=1	$\frac{{(x + 2)}^{2}}{64} + \frac{{(y - 1)}^{2}}{81} = 1$
1612	Find the Properties	(x-2)^2=-8(y+3)	${(x - 2)}^{2} = - 8 (y + 3)$
1613	Find the Properties	(x^2)/9-(y^2)/16=1	$\frac{x^{2}}{9} - \frac{y^{2}}{16} = 1$
1614	Find the Properties	((y-2)^2)/16-((x+1)^2)/144=1	$\frac{{(y - 2)}^{2}}{16} - \frac{{(x + 1)}^{2}}{144} = 1$
1615	Find the Properties	y^2=3x	$y^{2} = 3 x$
1616	Find the Center and Radius	9x^2+54x+9y^2-6y+64=0	$9 x^{2} + 54 x + 9 y^{2} - 6 y + 64 = 0$
1617	Find the Center and Radius	x^2+y^2+6y+2=0	$x^{2} + y^{2} + 6 y + 2 = 0$
1618	Simplify/Condense	log base 5 of 150	$\log_{5} (150)$
1619	Simplify/Condense	log base 5 of 1/250	$\log_{5} (\frac{1}{250})$
1620	Simplify/Condense	log base 4 of 192- log base 4 of 3	$\log_{4} (192) - \log_{4} (3)$
1621	Simplify/Condense	log base 5 of (z/25)^3	$\log_{5} ({(\frac{z}{25})}^{3})$
1622	Simplify/Condense	-1/3* log of 8	$- \frac{1}{3} \cdot \log (8)$
1623	Simplify/Condense	e^( natural log of 7x^2)	$e^{\ln (7 x^{2})}$
1624	Simplify/Condense	log base 3 of 108+ log base 3 of 3/4	$\log_{3} (108) + \log_{3} (\frac{3}{4})$
1625	Solve for x	xtan(x)-1=0	$x \tan (x) - 1 = 0$
1626	Determine if Odd, Even, or Neither	f(x)=\|x\|	$f (x) = \| x \|$
1627	Find the Vertex Form	x^2+y^2+2x-6y+7=0	$x^{2} + y^{2} + 2 x - 6 y + 7 = 0$
1628	Find the Vertex Form	x^2+y^2+16x-18y+145=25	$x^{2} + y^{2} + 16 x - 18 y + 145 = 25$
1629	Find the Vertex Form	(x^2)/9+(y^2)/25=1	$\frac{x^{2}}{9} + \frac{y^{2}}{25} = 1$
1630	Find the Vertex Form	4x^2+24x+16y^2-32y-12=0	$4 x^{2} + 24 x + 16 y^{2} - 32 y - 12 = 0$
1631	Find the Vertex Form	1/2x^2+1/8y^2=1/4	$\frac{1}{2} x^{2} + \frac{1}{8} y^{2} = \frac{1}{4}$
1632	Find the Vertex Form	x^2-y^2-2x-4y-4=0	$x^{2} - y^{2} - 2 x - 4 y - 4 = 0$
1633	Find the Domain and Range	y = log of x-2+1	$y = \log (x - 2) + 1$
1634	Find the Domain and Range	y=-5x+1	$y = - 5 x + 1$
1635	Find the Domain and Range	y=x/(x^2-4)	$y = \frac{x}{x^{2} - 4}$
1636	Find the Symmetry	x=y^4-y^2	$x = y^{4} - y^{2}$
1637	Identify the Common Factors	sin(x)cos(x)	$\sin (x) \cos (x)$
1638	Find the Leading Coefficient	pi/6	$\frac{π}{6}$
1639	Find the Degree, Leading Term, and Leading Coefficient	(2pi)/3	$\frac{2 π}{3}$
1640	Find the Slope	x=4	$x = 4$
1641	Find the Slope	y=4x	$y = 4 x$
1642	Find the Slope	y=1	$y = 1$
1643	Find the Slope	y=-1	$y = - 1$
1644	Find the Slope	4x-5y=20	$4 x - 5 y = 20$
1645	Find the Slope	5x-2=0	$5 x - 2 = 0$
1646	Graph	((x-2)^2)/16+((y+1)^2)/9=1	$\frac{{(x - 2)}^{2}}{16} + \frac{{(y + 1)}^{2}}{9} = 1$
1647	Graph	((x-2)^2)/16+((y-4)^2)/4=1	$\frac{{(x - 2)}^{2}}{16} + \frac{{(y - 4)}^{2}}{4} = 1$
1648	Graph	(4x^2)/(x^2-2x-3)	$\frac{4 x^{2}}{x^{2} - 2 x - 3}$
1649	Graph	(x^2)/100-(y^2)/64=1	$\frac{x^{2}}{100} - \frac{y^{2}}{64} = 1$
1650	Graph	(x^2)/16-(y^2)/20=1	$\frac{x^{2}}{16} - \frac{y^{2}}{20} = 1$
1651	Graph	(x^2)/25-(y^2)/64=1	$\frac{x^{2}}{25} - \frac{y^{2}}{64} = 1$
1652	Graph	(x^2)/36-(y^2)/9=1	$\frac{x^{2}}{36} - \frac{y^{2}}{9} = 1$
1653	Graph	((y-3)^2)/16-((x+1)^2)/4=1	$\frac{{(y - 3)}^{2}}{16} - \frac{{(x + 1)}^{2}}{4} = 1$
1654	Graph	(y^2)/16-(x^2)/144=1	$\frac{y^{2}}{16} - \frac{x^{2}}{144} = 1$
1655	Graph	(x^2)/6-(y^2)/16=1	$\frac{x^{2}}{6} - \frac{y^{2}}{16} = 1$
1656	Graph	(x^2)/49+(y^2)/24=1	$\frac{x^{2}}{49} + \frac{y^{2}}{24} = 1$
1657	Graph	(x^2)/64+(y^2)/81=1	$\frac{x^{2}}{64} + \frac{y^{2}}{81} = 1$
1658	Determine if Odd, Even, or Neither	f(x)=x^3+x	$f (x) = x^{3} + x$
1659	Determine if Odd, Even, or Neither	f(x)=2x^3-3x	$f (x) = 2 x^{3} - 3 x$
1660	Determine if Odd, Even, or Neither	f(x)=2x^4	$f (x) = 2 x^{4}$
1661	Determine if Odd, Even, or Neither	f(x)=x^2-4	$f (x) = x^{2} - 4$
1662	Determine if Odd, Even, or Neither	f(x)=x^3+0.04x^2+3	$f (x) = x^{3} + 0.04 x^{2} + 3$
1663	Determine if Odd, Even, or Neither	f(x)=x/(x^2+1)	$f (x) = \frac{x}{x^{2} + 1}$
1664	Determine if Odd, Even, or Neither	f(x)=x-1/x	$f (x) = x - \frac{1}{x}$
1665	Determine if Odd, Even, or Neither	f(x)=sin(2x)	$f (x) = \sin (2 x)$
1666	Determine if Odd, Even, or Neither	f(x)=-9x^3+8x	$f (x) = - 9 x^{3} + 8 x$
1667	Determine if Odd, Even, or Neither	g(x)=-4x^5+7x^2	$g (x) = - 4 x^{5} + 7 x^{2}$
1668	Graph	f(x)=\|x^2-4\|	$f (x) = \| x^{2} - 4 \|$
1669	Graph	f(x)=(x-1)(x+3)^2	$f (x) = (x - 1) {(x + 3)}^{2}$
1670	Graph	4x^2-y^2-16x-6y-9=0	$4 x^{2} - y^{2} - 16 x - 6 y - 9 = 0$
1671	Graph	log base a of x	$\log_{a} (x)$
1672	Graph	x^2-3y^2+8x-6y+4=0	$x^{2} - 3 y^{2} + 8 x - 6 y + 4 = 0$
1673	Graph	y^2-4x+4y-4=0	$y^{2} - 4 x + 4 y - 4 = 0$
1674	Graph	y^2=-36x	$y^{2} = - 36 x$
1675	Graph	y^2=-32x	$y^{2} = - 32 x$
1676	Graph	y^2=1/2x	$y^{2} = \frac{1}{2} x$
1677	Graph	y^2+3x=0	$y^{2} + 3 x = 0$
1678	Graph	y^2=-1/4x	$y^{2} = - \frac{1}{4} x$
1679	Graph	(x-4)/(x^2-x-6)	$\frac{x - 4}{x^{2} - x - 6}$
1680	Graph	-2sin(2pix)	$- 2 \sin (2 π x)$
1681	Write in Standard Form	-x^2-4x+4	$- x^{2} - 4 x + 4$
1682	Write in Standard Form	(11pi)/6	$\frac{11 π}{6}$
1683	Write in Standard Form	(4-i)^2-(1+2i)^2	${(4 - i)}^{2} - {(1 + 2 i)}^{2}$
1684	Write in Standard Form	(1-i)^10	${(1 - i)}^{10}$
1685	Factor	p(x)=x^4-x^2-2	$p (x) = x^{4} - x^{2} - 2$
1686	Expand Using Pascal's Triangle	(2x+1)^4	${(2 x + 1)}^{4}$
1687	Expand Using Pascal's Triangle	(2x-3y)^3	${(2 x - 3 y)}^{3}$
1688	Solve by Graphing	x^3=x^2-7	$x^{3} = x^{2} - 7$
1689	Factor	f(x)=2x^3-4x^2-10x+20	$f (x) = 2 x^{3} - 4 x^{2} - 10 x + 20$
1690	Factor	f(x)=3x^3+2x^2-19x+6	$f (x) = 3 x^{3} + 2 x^{2} - 19 x + 6$
1691	Graph	y=4^(x-1)	$y = 4^{x - 1}$
1692	Graph	y=2sec(2x)	$y = 2 \sec (2 x)$
1693	Graph	f(x)=[[x]]	$f (x) = [\begin{array}{c} x \end{array}]$
1694	Graph	y=0.45^x	$y = {0.45}^{x}$
1695	Graph	y=-1/3*cos(1/3x)	$y = - \frac{1}{3} \cdot \cos (\frac{1}{3} x)$
1696	Graph	y=1/2x^2-x-6	$y = \frac{1}{2} x^{2} - x - 6$
1697	Graph	x-1/8y^2=0	$x - \frac{1}{8} y^{2} = 0$
1698	Graph	y=4sin(pix)	$y = 4 \sin (π x)$
1699	Graph	y=4sin(3x-1/3*pi)+1	$y = 4 \sin (3 x - \frac{1}{3} \cdot π) + 1$
1700	Graph	y=3cot(x)	$y = 3 \cot (x)$