Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1701	Graph	y=3cos(1/3x)	$y = 3 \cos (\frac{1}{3} x)$
1702	Graph	y=cos(2x-pi)	$y = \cos (2 x - π)$
1703	Graph	y-3=(x+2)^2	$y - 3 = {(x + 2)}^{2}$
1704	Graph	y=sin(2x-pi)	$y = \sin (2 x - π)$
1705	Graph	y=sin(-x)	$y = \sin (- x)$
1706	Graph	r=1+3sin(x)	$r = 1 + 3 \sin (x)$
1707	Graph	f(x)=3x^2-2x-5	$f (x) = 3 x^{2} - 2 x - 5$
1708	Graph	f(x)=x^2+18x	$f (x) = x^{2} + 18 x$
1709	Graph	f(x) = fourth root of x	$f (x) = \sqrt[4]{x}$
1710	Graph	f(x)=2tan(x)	$f (x) = 2 \tan (x)$
1711	Graph	f(x)=3(x+2)^2-7	$f (x) = 3 {(x + 2)}^{2} - 7$
1712	Graph	f(x)=x^3-25x	$f (x) = x^{3} - 25 x$
1713	Graph	f(x)=-x^3-1	$f (x) = - x^{3} - 1$
1714	Solve for x	square root of 16+x+ square root of 16-x=8	$\sqrt{16 + x} + \sqrt{16 - x} = 8$
1715	Expand Using the Binomial Theorem	(sin(x)-cos(x))^2	${(\sin (x) - \cos (x))}^{2}$
1716	Find the Tangent Given the Point	(3,3)	$(3, 3)$
1717	Find the Vertex	y=-4x^2+16	$y = - 4 x^{2} + 16$
1718	Find the Vertex	y=-8x^2+8	$y = - 8 x^{2} + 8$
1719	Find the Domain and Range	x^2+y^2=49	$x^{2} + y^{2} = 49$
1720	Find the Vertex	y=x^2	$y = x^{2}$
1721	Find the Vertex	y=x^2-2x-35	$y = x^{2} - 2 x - 35$
1722	Find the Vertex	y=x^2-4x+3	$y = x^{2} - 4 x + 3$
1723	Find the Vertex	y=x^2-3	$y = x^{2} - 3$
1724	Find the Vertex	y=x^2-8x+5	$y = x^{2} - 8 x + 5$
1725	Find the Vertex	y=2x^2-4x	$y = 2 x^{2} - 4 x$
1726	Find the Domain and Range	g(x) = square root of x+1	$g (x) = \sqrt{x + 1}$
1727	Find the Domain and Range	f(x) = log of x-7	$f (x) = \log (x - 7)$
1728	Find the Domain and Range	f(x)=sec(x)	$f (x) = \sec (x)$
1729	Find the Domain and Range	g(x)=1-2x^2	$g (x) = 1 - 2 x^{2}$
1730	Solve for x	(ax+b)/(cx+d)=6	$\frac{a x + b}{c x + d} = 6$
1731	Find the Domain and Range	f(x)=e^x-1	$f (x) = e^{x} - 1$
1732	Evaluate	cos((17pi)/4)	$\cos (\frac{17 π}{4})$
1733	Convert to Trigonometric Form	3+2i	$3 + 2 i$
1734	Convert to Trigonometric Form	-5 square root of 3-5i	$- 5 \sqrt{3} - 5 i$
1735	Evaluate	sin(2arccos(3/5))	$\sin (2 \arccos (\frac{3}{5}))$
1736	Evaluate	sin((7pi)/3)	$\sin (\frac{7 π}{3})$
1737	Evaluate	p-2	$p - 2$
1738	Evaluate	tan(pi/12)	$\tan (\frac{π}{12})$
1739	Expand Using the Binomial Theorem	(1+1/x)^5	${(1 + \frac{1}{x})}^{5}$
1740	Expand Using the Binomial Theorem	(1+i)^20	${(1 + i)}^{20}$
1741	Evaluate	square root of 144+400	$\sqrt{144 + 400}$
1742	Evaluate	square root of 181	$\sqrt{181}$
1743	Evaluate	fourth root of 5^2	$\sqrt[4]{5^{2}}$
1744	Evaluate	( square root of 2+2)/2	$\frac{\sqrt{2 + 2}}{2}$
1745	Evaluate	square root of 10/90	$\sqrt{\frac{10}{90}}$
1746	Evaluate	(7- square root of -49)/(7+ square root of -49)	$\frac{7 - \sqrt{- 49}}{7 + \sqrt{- 49}}$
1747	Evaluate	180*3	$180 \cdot 3$
1748	Evaluate	1+1/2+1/4+1/8+1/16+1/32+1/64	$1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + \frac{1}{32} + \frac{1}{64}$
1749	Evaluate	1+1/3+1/9+1/27	$1 + \frac{1}{3} + \frac{1}{9} + \frac{1}{27}$
1750	Evaluate	arcsin(0.7)	$\arcsin (0.7)$
1751	Evaluate	1-9/16	$1 - \frac{9}{16}$
1752	Evaluate	(11pi)/6-2pi	$\frac{11 π}{6} - 2 π$
1753	Evaluate	49/25	$\frac{49}{25}$
1754	Evaluate	(5pi)/6-2pi	$\frac{5 π}{6} - 2 π$
1755	Evaluate	40320/720	$\frac{40320}{720}$
1756	Find the Value Using the Unit Circle	sin(2520)	$\sin (2520)$
1757	Find the Value Using the Unit Circle	sin(165)	$\sin (165)$
1758	Find the Value Using the Unit Circle	sin(-pi/3)	$\sin (- \frac{π}{3})$
1759	Find the Derivative - d/d@VAR	(f-g)(-3)	$(f - g) (- 3)$
1760	Evaluate	(8/17)/(15/17)	$\frac{\frac{8}{17}}{\frac{15}{17}}$
1761	Complete the Square	x^2-2x+2	$x^{2} - 2 x + 2$
1762	Apply the Quadratic Formula	x^2-5x+4	$x^{2} - 5 x + 4$
1763	Find Where Undefined/Discontinuous	log base 5 of x	$\log_{5} (x)$
1764	Find the Inverse	(x+2)^3-8	${(x + 2)}^{3} - 8$
1765	Evaluate Using Summation Formulas	sum from i=1 to 11 of 5*2^i	$\sum_{i = 1}^{11} 5 \cdot 2^{i}$
1766	Find Where Increasing/Decreasing	f(x)=x^2+4x-12	$f (x) = x^{2} + 4 x - 12$
1767	Simplify/Condense	log base 2 of 9x	$\log_{2} (9 x)$
1768	Simplify/Condense	log base 2 of 4x^2+8x+4	$\log_{2} (4 x^{2} + 8 x + 4)$
1769	Simplify/Condense	log base 2 of 6+ log base 2 of m- log base 2 of n	$\log_{2} (6) + \log_{2} (m) - \log_{2} (n)$
1770	Simplify/Condense	log base 2 of 16- log base 2 of 8	$\log_{2} (16) - \log_{2} (8)$
1771	Simplify/Condense	log of 21- log of 3	$\log (21) - \log (3)$
1772	Simplify/Condense	e^( natural log of square root of x)	$e^{\ln (\sqrt{x})}$
1773	Simplify/Condense	e^(4 natural log of x)	$e^{4 \ln (x)}$
1774	Simplify/Condense	natural log of (e)^(8x^2+7x-4)	$\ln ({(e)}^{8 x^{2} + 7 x - 4})$
1775	Simplify/Condense	1/3*(2 natural log of x+3+ natural log of x- natural log of x^2-1)	$\frac{1}{3} \cdot (2 \ln (x + 3) + \ln (x) - \ln (x^{2} - 1))$
1776	Simplify/Condense	1/2* log base 6 of 9+ log base 6 of 5	$\frac{1}{2} \cdot \log_{6} (9) + \log_{6} (5)$
1777	Simplify/Condense	1/2* natural log of x- natural log of 3	$\frac{1}{2} \cdot \ln (x) - \ln (3)$
1778	Simplify/Condense	log base 6 of (5)^4+ log base 6 of 25	$\log_{6} ({(5)}^{4}) + \log_{6} (25)$
1779	Simplify/Condense	natural log of x/(x-4)+ natural log of (x+4)/x- natural log of x^2-16	$\ln (\frac{x}{x - 4}) + \ln (\frac{x + 4}{x}) - \ln (x^{2} - 16)$
1780	Simplify/Condense	natural log of 3-2 natural log of 4+ natural log of 32	$\ln (3) - 2 \ln (4) + \ln (32)$
1781	Simplify/Condense	log of x^2+3x+2-2 log of x+1	$\log (x^{2} + 3 x + 2) - 2 \log (x + 1)$
1782	Simplify/Condense	log of 7/100	$\log (\frac{7}{100})$
1783	Simplify/Condense	5 natural log of x-2- natural log of x+2-3 natural log of x	$5 \ln (x - 2) - \ln (x + 2) - 3 \ln (x)$
1784	Simplify/Condense	3 natural log of x+4 natural log of y-2 natural log of z	$3 \ln (x) + 4 \ln (y) - 2 \ln (z)$
1785	Simplify/Condense	3 natural log of x+ natural log of y	$3 \ln (x) + \ln (y)$
1786	Simplify/Condense	4 log of x+ log of y- log of z	$4 \log (x) + \log (y) - \log (z)$
1787	Simplify/Condense	101 log of i/3000000	$101 \log (\frac{i}{3000000})$
1788	Simplify/Condense	11 natural log of x-2-3 natural log of x	$11 \ln (x - 2) - 3 \ln (x)$
1789	Simplify/Condense	2 log base 2 of 25-2 log base 2 of 5+ log base 2 of 3	$2 \log_{2} (25) - 2 \log_{2} (5) + \log_{2} (3)$
1790	Simplify/Condense	3 log base a of 2x+1-2 log base a of 2x-1+2	$3 \log_{a} (2 x + 1) - 2 \log_{a} (2 x - 1) + 2$
1791	Simplify/Condense	3-2 log base 4 of x/2-5	$3 - 2 \log_{4} (\frac{x}{2} - 5)$
1792	Simplify/Condense	2 log of x-6 log of x-9	$2 \log (x) - 6 \log (x - 9)$
1793	Simplify/Condense	log base 4 of x^2-1-5 log base 4 of x+1	$\log_{4} (x^{2} - 1) - 5 \log_{4} (x + 1)$
1794	Simplify/Condense	log base 3 of 81x	$\log_{3} (81 x)$
1795	Simplify/Condense	log base 5 of 250- log base 5 of 2	$\log_{5} (250) - \log_{5} (2)$
1796	Simplify/Condense	log base 6 of 864- log base 6 of 4	$\log_{6} (864) - \log_{6} (4)$
1797	Simplify/Condense	log base 7 of 49x	$\log_{7} (49 x)$
1798	Simplify/Condense	log base 8 of 6- log base 8 of 3+ log base 8 of 2	$\log_{8} (6) - \log_{8} (3) + \log_{8} (2)$
1799	Simplify/Condense	log base 9 of 25- log base 9 of 75	$\log_{9} (25) - \log_{9} (75)$
1800	Simplify/Condense	log of 9- log of 3	$\log (9) - \log (3)$