Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
36801	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (4x^2)/(e^(4x)-4x-1)	$lim_{x \to 0} \frac{4 x^{2}}{e^{4 x} - 4 x - 1}$
36802	Find dy/dx	(x^2+y^2-1)^3-x^2y^3=0	${(x^{2} + y^{2} - 1)}^{3} - x^{2} y^{3} = 0$
36803	Graph	y=(e^x)/x	$y = \frac{e^{x}}{x}$
36804	Solve for x	x^2-5yx+4y^2=0	$x^{2} - 5 y x + 4 y^{2} = 0$
36805	Simplify	( cube root of x^5)/( square root of x)	$\frac{\sqrt[3]{x^{5}}}{\sqrt{x}}$
36806	Simplify the Radical Expression	6 square root of 4*2 square root of 5	$6 \sqrt{4} \cdot 2 \sqrt{5}$
36807	Evaluate	(d+2)(-7)	$(d + 2) (- 7)$
36808	Write in Standard Form	-1/9x^2-x^5-7x+3x^4+1	$- \frac{1}{9} x^{2} - x^{5} - 7 x + 3 x^{4} + 1$
36809	Evaluate	2*36^(-1/2)+6^-1	$2 \cdot 36^{- \frac{1}{2}} + 6^{- 1}$
36810	Subtract	-7x^2+1--2x^2-4x	$- 7 x^{2} + 1 - - 2 x^{2} - 4 x$
36811	Solve for p	5p=21+2p	$5 p = 21 + 2 p$
36812	Simplify	((3x^2y^3)^2)^2(x^3yz^5)^3	${({(3 x^{2} y^{3})}^{2})}^{2} {(x^{3} y z^{5})}^{3}$
36813	Find the Exact Value	(64+4^2)/(2^2)	$\frac{(64 + 4^{2})}{2^{2}}$
36814	Expand Using Sum/Difference Formulas	cos(270 degrees -theta)	$\cos (270 ° - θ)$
36815	Simplify the Radical Expression	(81 1/4)^5	${(81 \frac{1}{4})}^{5}$
36816	Evaluate the Function	f(-2)=-2^2-4	$f (- 2) = - 2^{2} - 4$
36817	Write in Standard Form	4x^2-y^2-6y=25	$4 x^{2} - y^{2} - 6 y = 25$
36818	Solve for t	square root of 3t+1+ square root of 5-t=4	$\sqrt{3 t + 1} + \sqrt{5 - t} = 4$
36819	Subtract	(7x^3+3x^2+4x+10)-(10+8x+3x^3)	$(7 x^{3} + 3 x^{2} + 4 x + 10) - (10 + 8 x + 3 x^{3})$
36820	Multiply	151413121110987654321	$15 \cdot 14 \cdot 13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1$
36821	Solve for v	4v^2=28v	$4 v^{2} = 28 v$
36822	Evaluate	(19-4^2)/(3^1)	$\frac{19 - 4^{2}}{3^{1}}$
36823	Solve for x	x-5(x+1)=5+x	$x - 5 (x + 1) = 5 + x$
36824	Evaluate the Limit	limit as t approaches 0 of (sin(t))/( natural log of 2e^t-1)	$lim_{t \to 0} \frac{\sin (t)}{\ln (2 e^{t} - 1)}$
36825	Find the LCD	(x^2+4x+4)/(x^2-4)-2/(x+2)	$\frac{(x^{2} + 4 x + 4)}{x^{2} - 4} - \frac{2}{(x + 2)}$
36826	Find the Exact Value	(m-3+4n)*(-8)	$(m - 3 + 4 n) \cdot (- 8)$
36827	Solve the Inequality for m	88>-2(4-2m)+8m	$88 > - 2 (4 - 2 m) + 8 m$
36828	Solve for x in Degrees	sec(x) = square root of 2	$\sec (x) = \sqrt{2}$
36829	Divide	( square root of 252)/3	$\frac{\sqrt{252}}{3}$
36830	Find Amplitude, Period, and Phase Shift	y=4cos((4pix)/7+5)	$y = 4 \cos (\frac{4 π x}{7} + 5)$
36831	Graph	f(x)=1/2e^x	$f (x) = \frac{1}{2} e^{x}$
36832	Find the Product	(m-3+4n)*(-8)	$(m - 3 + 4 n) \cdot (- 8)$
36833	Solve for x	2(6x+9-3x)=5x+21	$2 (6 x + 9 - 3 x) = 5 x + 21$
36834	Describe the Transformation	f(x)=sin(x) g(x)=sin(x-pi)	$f (x) = \sin (x)$ $g (x) = \sin (x - π)$
36835	Evaluate	(1/2)^3+2/3	${(\frac{1}{2})}^{3} + \frac{2}{3}$
36836	Simplify	9h^2+14g-12g-2h^2	$9 h^{2} + 14 g - 12 g - 2 h^{2}$
36837	Simplify	(4^0)(5^-1)(6^-1)(100^0)(1/(2^-1))	$(4^{0}) (5^{- 1}) (6^{- 1}) (100^{0}) (\frac{1}{2^{- 1}})$
36838	Solve the Rational Equation for a	a/(a^2-36)+2/(a-6)=1/(a+6)	$\frac{a}{a^{2} - 36} + \frac{2}{a - 6} = \frac{1}{a + 6}$
36839	Evaluate the Limit	limit as x approaches infinity of (yx+6)/(2x-7)=4	$lim_{x \to \infty} \frac{y x + 6}{2 x - 7} = 4$
36840	Find the Integral	\|x-1\|	$\| x - 1 \|$
36841	Solve by Addition/Elimination	-2x-5y=9 and 3x+11y=4	$- 2 x - 5 y = 9$ and $3 x + 11 y = 4$
36842	Convert from Radians to Degrees	-20rad	$- 20$ rad
36843	Solve the Absolute Value Inequality for a	6=\|5a-6\|	$6 = \| 5 a - 6 \|$
36844	Find the Derivative - d/dx	sin(2x)-tan(x)-x	$\sin (2 x) - \tan (x) - x$
36845	Find the Absolute Max and Min over the Interval	x^3-3x^2+12 , [-2,4]	$x^{3} - 3 x^{2} + 12$ , $[- 2, 4]$
36846	Graph	y=-3/2(x+5)-2	$y = - \frac{3}{2} (x + 5) - 2$
36847	Simplify the Radical Expression	ninth root of x^-2*x^5	$\sqrt[9]{x^{- 2} \cdot x^{5}}$
36848	Find the Excluded Values	(3x^2)/(x^2-3x-18)-(x+2)/(x-6)	$\frac{3 x^{2}}{x^{2} - 3 x - 18} - \frac{x + 2}{x - 6}$
36849	Graph	x>3 y<=2x-5	$x > 3$ $y \leq 2 x - 5$
36850	Find the Asymptotes	y=(10x)/((x+3)^2)	$y = \frac{10 x}{{(x + 3)}^{2}}$
36851	Find dy/dx	e^y=(x^2)/y	$e^{y} = \frac{x^{2}}{y}$
36852	Evaluate	6÷6+1+1-5	$6 \div 6 + 1 + 1 - 5$
36853	Solve Using the Quadratic Formula	x^2-6=2-18x	$x^{2} - 6 = 2 - 18 x$
36854	Write in Slope-Intercept Form	1/3y=2x-1	$\frac{1}{3} y = 2 x - 1$
36855	Convert to a Decimal	78deg	$78$ degrees
36856	Find the x and y Intercepts	F(x)=(2x^2)/(x^2+4)	$F (x) = \frac{2 x^{2}}{x^{2} + 4}$
36857	Multiply	7 square root of 3y^2*2 square root of 6x^3y	$7 \sqrt{3 y^{2}} \cdot 2 \sqrt{6 x^{3} y}$
36858	Solve the System of Equations	y=-x^2+3x+2 y=3x+2	$y = - x^{2} + 3 x + 2$ $y = 3 x + 2$
36859	Evaluate	((3x^5y^3)^5)/((6x^10y^7)^2)	$\frac{{(3 x^{5} y^{3})}^{5}}{{(6 x^{10} y^{7})}^{2}}$
36860	Simplify the Radical Expression	- square root of 19^7	$- \sqrt{19^{7}}$
36861	Evaluate	(x-2)/(x+3)=3/8	$\frac{x - 2}{x + 3} = \frac{3}{8}$
36862	Write Using Positive Exponents	-3m^-2np^-4	$- 3 m^{- 2} n p^{- 4}$
36863	Find the Derivative - d/dx	natural log of e^x+x	$\ln (e^{x} + x)$
36864	Simplify	( square root of 2+2)/(2- square root of 2)	$\frac{\sqrt{2} + 2}{2 - \sqrt{2}}$
36865	Find the x and y Intercepts	f(x)=-5x(2x+1)^2(x^2-6)(x^2+9)	$f (x) = - 5 x {(2 x + 1)}^{2} (x^{2} - 6) (x^{2} + 9)$
36866	Solve the Inequality for x	(x^2-4)/(x^2+36)>=0	$\frac{(x^{2} - 4)}{x^{2} + 36} \geq 0$
36867	Evaluate	((2xy^5)^3)/(2x^3y^8)	$\frac{{(2 x y^{5})}^{3}}{2 x^{3} y^{8}}$
36868	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3+17x^2+21x+10 is divided by 3x+2	Use the long division method to find the result when $12 x^{3} + 17 x^{2} + 21 x + 10$ is divided by $3 x + 2$
36869	Solve for v	v=4 square root of 400	$v = 4 \sqrt{400}$
36870	Subtract	-3/4-3/4	$- \frac{3}{4} - \frac{3}{4}$
36871	Evaluate the Integral	integral from 1 to e of 1/(x square root of natural log of x) with respect to x	$\int_{1}^{e} \frac{1}{x \sqrt{\ln (x)}} d x$
36872	Evaluate the Integral	integral from 1 to 4 of (5x^2+ square root of x) with respect to x	$\int_{1}^{4} (5 x^{2} + \sqrt{x}) d x$
36873	Evaluate	square root of -1^2+2^2	$\sqrt{- 1^{2} + 2^{2}}$
36874	Solve for x	f(x)=2x+11 and g(x)=-3x-22	$f (x) = 2 x + 11$ and $g (x) = - 3 x - 22$
36875	Simplify	(16^5)(16^(1/2))	$(16^{5}) (16^{\frac{1}{2}})$
36876	Evaluate	-3^(-2+2)	$- 3^{- 2 + 2}$
36877	Simplify	square root of 4x^2-1	$\sqrt{4 x^{2} - 1}$
36878	Determine if True	arccsc(theta)=sin(theta)	$arccsc (θ) = \sin (θ)$
36879	Simplify	((x^2+12x+27)/(42x-6x^2)*(49-x^2)/(x^2+16x+63))÷((x^2+8x+15)/(100-4x^2))	$\frac{x^{2} + 12 x + 27}{42 x - 6 x^{2}} \cdot \frac{49 - x^{2}}{x^{2} + 16 x + 63} \div \frac{x^{2} + 8 x + 15}{100 - 4 x^{2}}$
36880	Solve for x in Radians	cos(x)=0.5	$\cos (x) = 0.5$
36881	Find the Antiderivative	(2/e)^x	${(\frac{2}{e})}^{x}$
36882	Graph	x<=-2 or x>=2	$x \leq - 2$ or $x \geq 2$
36883	Find the LCM	8 and 20	$8$ and $20$
36884	Simplify	(3p^3)/( square root of 5p^6)	$\frac{3 p^{3}}{\sqrt{5 p^{6}}}$
36885	Simplify	(a^(-1/4)b)^-4(b^2c)^(-1/4)	${(a^{- \frac{1}{4}} b)}^{- 4} {(b^{2} c)}^{- \frac{1}{4}}$
36886	Solve the System of Equations	4x-2y+3z=1 x+3y-4z=-7 3x+y+2z=5	$4 x - 2 y + 3 z = 1$ $x + 3 y - 4 z = - 7$ $3 x + y + 2 z = 5$
36887	Divide	(9x^2y^7)/(3x^2y^7)	$\frac{9 x^{2} y^{7}}{3 x^{2} y^{7}}$
36888	Simplify	(8 square root of 3)/( square root of k)	$\frac{8 \sqrt{3}}{\sqrt{k}}$
36889	Simplify	(8a^2b^2)/(2 square root of 2b)	$\frac{8 a^{2} b^{2}}{2 \sqrt{2 b}}$
36890	Simplify	(a^3b^-4)/(4b^2)	$\frac{a^{3} b^{- 4}}{4 b^{2}}$
36891	Find the Slope	(-2,-5) and (-3,-6)	$(- 2, - 5)$ and $(- 3, - 6)$
36892	Simplify	6a(2a^2bc^3)	$6 a (2 a^{2} b c^{3})$
36893	Solve for x	x+37+x+67+90=180	$x + 37 + x + 67 + 90 = 180$
36894	Write the Fraction in Simplest Form	-4/7p+(-2/7p)+1/7	$- \frac{4}{7} p + (- \frac{2}{7} p) + \frac{1}{7}$
36895	Graph	tan(theta)<0 , sec(theta)<0	$\tan (θ) < 0$ , $\sec (θ) < 0$
36896	Solve for x	x^3-4/x=6	$x^{3} - \frac{4}{x} = 6$
36897	Solve for a	A = ninth root of a^4 square root of b* ninth root of b^4 square root of a	$A = \sqrt[9]{a^{4} \sqrt{b}} \cdot \sqrt[9]{b^{4} \sqrt{a}}$
36898	Simplify	sixth root of 729a^9b^24	$\sqrt[6]{729 a^{9} b^{24}}$
36899	Find dy/dx	y=tan(xsin(x))	$y = \tan (x \sin (x))$
36900	Find the Slope	(10,-6) and (13,-7)	$(10, - 6)$ and $(13, - 7)$