Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
62901	Find the Domain and Range	x^2+8x	$x^{2} + 8 x$
62902	Find the Concavity	y=xe^(-4x)	$y = x e^{- 4 x}$
62903	Find the Concavity	y=x^3-7x^2-5x+8	$y = x^{3} - 7 x^{2} - 5 x + 8$
62904	Find the Concavity	y=7x^2+10x-7	$y = 7 x^{2} + 10 x - 7$
62905	Find the Concavity	y=x^3-8x^2-12x+8	$y = x^{3} - 8 x^{2} - 12 x + 8$
62906	Find the Domain and Range	seventh root of x+2	$\sqrt[7]{x + 2}$
62907	Evaluate the Function	s(t)=t^2-1s(a-1)	$s (t) = t^{2} - 1 s (a - 1)$
62908	Find the Trig Value	cos(theta)=-5/13	$\cos (θ) = - \frac{5}{13}$
62909	Find the Domain and Range	-1/6x^2+100x	$- \frac{1}{6} x^{2} + 100 x$
62910	Find the Domain and Range	square root of 64-x^2	$\sqrt{64 - x^{2}}$
62911	Find the Domain and Range	square root of 6x	$\sqrt{6 x}$
62912	Find the Domain and Range	square root of 6-x	$\sqrt{6 - x}$
62913	Find the Domain and Range	3x-2	$3 x - 2$
62914	Evaluate the Function	h(4x)=3(4x)^2-3	$h (4 x) = 3 {(4 x)}^{2} - 3$
62915	Evaluate the Function	f(1.6)=(x)-(6tan(x)+x)/(6sec(x)^2+1)	$f (1.6) = (x) - \frac{6 \tan (x) + x}{(6 \sec^{2} (x) + 1)}$
62916	Evaluate the Function	f(-1)=4e^x	$f (- 1) = 4 e^{x}$
62917	Evaluate the Function	f(2y)=x^2-2x+5	$f (2 y) = x^{2} - 2 x + 5$
62918	Evaluate the Function	f(-3)=(x^4)/7-2x	$f (- 3) = \frac{x^{4}}{7} - 2 x$
62919	Evaluate the Function	f(0)=(x+1)/(x-1)	$f (0) = \frac{x + 1}{x - 1}$
62920	Evaluate the Function	f(-0.01)=(5e^x-5-5x)/(x^2)	$f (- 0.01) = \frac{5 e^{x} - 5 - 5 x}{x^{2}}$
62921	Evaluate the Function	f(0.05)=(e^x-1-x)/(x^2)	$f (0.05) = \frac{e^{x} - 1 - x}{x^{2}}$
62922	Apply the Quadratic Formula	x^2+6x-8	$x^{2} + 6 x - 8$
62923	Apply the Quadratic Formula	12x^2-184x+529	$12 x^{2} - 184 x + 529$
62924	Convert to a Simplified Fraction	square root of 52	$\sqrt{52}$
62925	Evaluate from the Right	limit as x approaches 0 from the right of sin(x) natural log of 2x	$lim_{x \to 0} \sin (x) \ln (2 x)$
62926	Evaluate from the Right	limit as x approaches 0 from the right of x^3 natural log of x	$lim_{x \to 0} x^{3} \ln (x)$
62927	Evaluate from the Right	limit as x approaches 2 from the right of 1/( natural log of x-1)-1/(x-2)	$lim_{x \to 2} \frac{1}{\ln (x - 1)} - \frac{1}{x - 2}$
62928	Solve by Factoring	x^6-8x^3=0	$x^{6} - 8 x^{3} = 0$
62929	Solve by Factoring	3x^2-4x-15=0	$3 x^{2} - 4 x - 15 = 0$
62930	Solve by Factoring	e^(2x)-7e^x+6=0	$e^{2 x} - 7 e^{x} + 6 = 0$
62931	Convert to a Percentage	0.3125	$0.3125$
62932	Determine if Rational	1/3	$\frac{1}{3}$
62933	Convert to a Percentage	9/64	$\frac{9}{64}$
62934	Convert to a Percentage	(3pi)/4	$\frac{3 π}{4}$
62935	Convert to a Percentage	32/50	$\frac{32}{50}$
62936	Determine if Rational	square root of 27	$\sqrt{27}$
62937	Determine if Rational	square root of 52	$\sqrt{52}$
62938	Convert to Rectangular	r=3csc(theta)	$r = 3 \csc (θ)$
62939	Convert to Rectangular	r=-3cos(theta)	$r = - 3 \cos (θ)$
62940	Find Where Increasing/Decreasing Using Derivatives	(x^2)/((x-7)^2)	$\frac{x^{2}}{{(x - 7)}^{2}}$
62941	Find Where Increasing/Decreasing Using Derivatives	x/(x^2-16)	$\frac{x}{x^{2} - 16}$
62942	Find Where Increasing/Decreasing Using Derivatives	(e^x)/(3+e^x)	$\frac{e^{x}}{3 + e^{x}}$
62943	Find Where Increasing/Decreasing Using Derivatives	-12x^5+120x^4-300x^3	$- 12 x^{5} + 120 x^{4} - 300 x^{3}$
62944	Find Where Increasing/Decreasing Using Derivatives	(x^4)/4-3x^3+9x^2	$\frac{x^{4}}{4} - 3 x^{3} + 9 x^{2}$
62945	Find Where Increasing/Decreasing Using Derivatives	2x^3-24x^2+72x	$2 x^{3} - 24 x^{2} + 72 x$
62946	Find Where Increasing/Decreasing Using Derivatives	2x^(5/3)-5x^(4/3)	$2 x^{\frac{5}{3}} - 5 x^{\frac{4}{3}}$
62947	Find Where Increasing/Decreasing Using Derivatives	210+8x^3+x^4	$210 + 8 x^{3} + x^{4}$
62948	Find Where Increasing/Decreasing Using Derivatives	-12x^5+90x^4-160x^3	$- 12 x^{5} + 90 x^{4} - 160 x^{3}$
62949	Find Where Increasing/Decreasing Using Derivatives	12x-x^3	$12 x - x^{3}$
62950	Find Where Increasing/Decreasing Using Derivatives	147x-x^3	$147 x - x^{3}$
62951	Find Where Increasing/Decreasing Using Derivatives	9sin(x)+9cos(x)	$9 \sin (x) + 9 \cos (x)$
62952	Find Where Increasing/Decreasing Using Derivatives	-cos(x)^2	$- \cos^{2} (x)$
62953	Find Where Increasing/Decreasing Using Derivatives	e^(4x)	$e^{4 x}$
62954	Find Where Increasing/Decreasing Using Derivatives	e^(9x)	$e^{9 x}$
62955	Find Where Increasing/Decreasing Using Derivatives	-4sin(x)^2	$- 4 \sin^{2} (x)$
62956	Find Where Increasing/Decreasing Using Derivatives	4x^4-16x^3-32x^2+3	$4 x^{4} - 16 x^{3} - 32 x^{2} + 3$
62957	Find Where Increasing/Decreasing Using Derivatives	x^4-32x^2+256	$x^{4} - 32 x^{2} + 256$
62958	Find Where Increasing/Decreasing Using Derivatives	x^4-4x^2	$x^{4} - 4 x^{2}$
62959	Find the Slope and y-intercept	f(x)=5x-5	$f (x) = 5 x - 5$
62960	Find Where Increasing/Decreasing Using Derivatives	x^3-3x^2-1	$x^{3} - 3 x^{2} - 1$
62961	Find Where Increasing/Decreasing Using Derivatives	x^3-6x^2-15x+5	$x^{3} - 6 x^{2} - 15 x + 5$
62962	Find Where Increasing/Decreasing Using Derivatives	x^2e^(3x)	$x^{2} e^{3 x}$
62963	Find Where Increasing/Decreasing Using Derivatives	natural log of x^4+1	$\ln (x^{4} + 1)$
62964	Convert to Rectangular	r=-14sin(theta)	$r = - 14 \sin (θ)$
62965	Convert to Rectangular	r=18sin(theta)	$r = 18 \sin (θ)$
62966	Convert to Rectangular	r^2=a^2cos(2theta)	$r^{2} = a^{2} \cos (2 θ)$
62967	Convert to Rectangular	9(cos((7pi)/6)+isin((7pi)/6))	$9 (\cos (\frac{7 π}{6}) + i \sin (\frac{7 π}{6}))$
62968	Convert to Rectangular	8(cos(210 degrees )+isin(210 degrees ))	$8 (\cos (210 °) + i \sin (210 °))$
62969	Convert to Rectangular	cube root of 2(cos(40 degrees )+isin(40 degrees ))	$\sqrt[3]{2} (\cos (40 °) + i \sin (40 °))$
62970	Convert to Rectangular	cube root of 4(cos(320 degrees )+isin(320 degrees ))	$\sqrt[3]{4} (\cos (320 °) + i \sin (320 °))$
62971	Convert to Rectangular	(5(cos(30 degrees )+isin(30 degrees )))^3	${(5 (\cos (30 °) + i \sin (30 °)))}^{3}$
62972	Convert to Rectangular	( square root of 2(cos(15 degrees )+isin(15 degrees )))	$(\sqrt{2} (\cos (15 °) + i \sin (15 °)))$
62973	Convert to Rectangular	3(cos(240 degrees )+isin(240 degrees ))	$3 (\cos (240 °) + i \sin (240 °))$
62974	Convert to Rectangular	-1-i	$- 1 - i$
62975	Find the Derivative Using Chain Rule - d/dx	f(g(x))	$f (g (x))$
62976	Find the Derivative Using Chain Rule - d/dx	y=(2x+1)^5	$y = {(2 x + 1)}^{5}$
62977	Find the Derivative Using Chain Rule - d/dx	y=(2x-1)^3(x+7)^-3	$y = {(2 x - 1)}^{3} {(x + 7)}^{- 3}$
62978	Find the Derivative Using Chain Rule - d/dx	arctan(x)	$\arctan (x)$
62979	Find the Derivative Using Chain Rule - d/d@VAR	f(x)=x^4	$f (x) = x^{4}$
62980	Expand the Logarithmic Expression	log base c of u^2v^3	$\log_{c} (u^{2} v^{3})$
62981	Find the Inflection Points	(x^2+1)/x	$\frac{(x^{2} + 1)}{x}$
62982	Expand the Logarithmic Expression	log base 6 of (6p)/(7k)	$\log_{6} (\frac{6 p}{7 k})$
62983	Expand the Logarithmic Expression	log of ((AB)/(C^2))^(1/3)	$\log ({(\frac{A B}{C^{2}})}^{\frac{1}{3}})$
62984	Expand the Logarithmic Expression	natural log of (2x)/( square root of x^2-9)	$\ln (\frac{2 x}{\sqrt{x^{2} - 9}})$
62985	Expand the Logarithmic Expression	natural log of 3x^-2y	$\ln (3 x^{- 2} y)$
62986	Expand the Logarithmic Expression	natural log of 5x^-3y	$\ln (5 x^{- 3} y)$
62987	Expand the Logarithmic Expression	natural log of (k^3)/(m^5)	$\ln (\frac{k^{3}}{m^{5}})$
62988	Expand the Logarithmic Expression	log base 9 of (13x^3)/(y^5)	$\log_{9} (\frac{13 x^{3}}{y^{5}})$
62989	Expand the Logarithmic Expression	log base b of (p^3q^7)/(m^3b^9)	$\log_{b} (\frac{p^{3} q^{7}}{m^{3} b^{9}})$
62990	Expand the Logarithmic Expression	log base b of z^3y	$\log_{b} (z^{3} y)$
62991	Expand the Logarithmic Expression	log base b of ninth root of (x^2)/(y^9z^4)	$\log_{b} (\sqrt[9]{\frac{x^{2}}{y^{9} z^{4}}})$
62992	Expand the Logarithmic Expression	log base c of fourth root of (m^12n^20)/(c^3)	$\log_{c} (\sqrt[4]{\frac{m^{12} n^{20}}{c^{3}}})$
62993	Expand the Logarithmic Expression	log base w of (9x)/2	$\log_{w} (\frac{9 x}{2})$
62994	Expand the Logarithmic Expression	log of 5x^7y^6	$\log (5 x^{7} y^{6})$
62995	Expand the Logarithmic Expression	log base 4 of ninth root of (a^6b)/16	$\log_{4} (\sqrt[9]{\frac{a^{6} b}{16}})$
62996	Expand the Logarithmic Expression	log base 4 of 8x^3y	$\log_{4} (8 x^{3} y)$
62997	Expand the Logarithmic Expression	log of (11x)/7	$\log (\frac{11 x}{7})$
62998	Find the Inflection Points	3x^5-5x^4	$3 x^{5} - 5 x^{4}$
62999	Find the Inflection Points	4x^6-5x^5	$4 x^{6} - 5 x^{5}$
63000	Find the Inflection Points	4xe^(3x)	$4 x e^{3 x}$