Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
21801	Convert to a Decimal	108deg	$108$ degrees
21802	Graph	square root of c+28- square root of c<=2	$\sqrt{c + 28} - \sqrt{c} \leq 2$
21803	Solve for x	e^x=y	$e^{x} = y$
21804	Find dy/dx	y=(x^3+2x+1)^5	$y = {(x^{3} + 2 x + 1)}^{5}$
21805	Evaluate Using L'Hospital's Rule	limit as x approaches -3 of (4 natural log of -2-x)/(3e^(2x+6)-3)	$lim_{x \to - 3} \frac{4 \ln (- 2 - x)}{3 e^{2 x + 6} - 3}$
21806	Graph	cos(theta)>0 and sin(theta)<0	$\cos (θ) > 0$ and $\sin (θ) < 0$
21807	Solve for x	2x^4-6x^3=12x^2-36x	$2 x^{4} - 6 x^{3} = 12 x^{2} - 36 x$
21808	Evaluate	1/2(3)^2(2pi)/3	$\frac{1}{2} {(3)}^{2} \frac{2 π}{3}$
21809	Solve for x	(2/3)^(5x+1)=(27/8)^(x-4)	${(\frac{2}{3})}^{5 x + 1} = {(\frac{27}{8})}^{x - 4}$
21810	Solve for k	64^(1/3)=2^k	$64^{\frac{1}{3}} = 2^{k}$
21811	Graph	A(x)=400(b)^x+0	$A (x) = 400 {(b)}^{x} + 0$
21812	Divide	(5x^4y^2+20xy^6-10x)/(5xy^2)	$\frac{(5 x^{4} y^{2} + 20 x y^{6} - 10 x)}{5 x y^{2}}$
21813	Evaluate the Limit	limit as x approaches a of (2x-1)^5	$lim_{x \to a} {(2 x - 1)}^{5}$
21814	Solve the Rational Equation for x	-6-(4x)/(x+2)=8/(x+2)	$- 6 - \frac{4 x}{x + 2} = \frac{8}{x + 2}$
21815	Find the x and y Intercepts	f(x)=(5+2x)/(1+x)	$f (x) = \frac{5 + 2 x}{1 + x}$
21816	Simplify	2(x+9)<10	$2 (x + 9) < 10$
21817	Factor	Factor x^2-12x+20	Factor $x^{2} - 12 x + 20$
21818	Write in Standard Form	-2(4v^2+5v)+v(v^2+6v)	$- 2 (4 v^{2} + 5 v) + v (v^{2} + 6 v)$
21819	Simplify	(3x)/(2(x-1))+4/(x-1)	$\frac{3 x}{2 (x - 1)} + \frac{4}{x - 1}$
21820	Solve the Function Operation	8m increased by 25%	$8 meters$ increased by $25 %$
21821	Evaluate the Integral	integral from -1 to 3 of [2y-(y^2-3)] with respect to y	$\int_{- 1}^{3} [2 y - (y^{2} - 3)] d y$
21822	Add	-3x^2-x-10+10x^2+x-10	$- 3 x^{2} - x - 10 + 10 x^{2} + x - 10$
21823	Solve for r	8/r=96	$\frac{8}{r} = 96$
21824	Find the End Behavior	f(x)=x^5-6x^4+8x^3+6x^2-9x	$f (x) = x^{5} - 6 x^{4} + 8 x^{3} + 6 x^{2} - 9 x$
21825	Calculate the Square Root	square root of 36x^6y^2	$\sqrt{36 x^{6} y^{2}}$
21826	Simplify	(x^-8)/(-11x^7)	$\frac{x^{- 8}}{- 11 x^{7}}$
21827	Graph	table[[x,f(x)],[-4,-8],[-2,5],[-1,3],[0,0],[1,-3],[2,-5],[4,8]]	$\begin{array}{c} x & f (x) \\ - 4 & - 8 \\ - 2 & 5 \\ - 1 & 3 \\ 0 & 0 \\ 1 & - 3 \\ 2 & - 5 \\ 4 & 8 \end{array}$
21828	Solve the Function Operation	Given that f(x)=x^2-4x-21 and g(x)=x-7 ; find f(x)-g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 4 x - 21$ and $g (x) = x - 7$ ; find $f (x) - g (x)$ and express the result in standard form.
21829	Simplify	5y+7x-3(2x-4y+6)	$5 y + 7 x - 3 (2 x - 4 y + 6)$
21830	Simplify the Radical Expression	(y^(-1/2))^4	${(y^{- \frac{1}{2}})}^{4}$
21831	Find the Roots (Zeros)	f(x)=2-4sin(x)	$f (x) = 2 - 4 \sin (x)$
21832	Write in Standard Form	(-5x-6)-(4x^2+6)	$(- 5 x - 6) - (4 x^{2} + 6)$
21833	Simplify	square root of 14- square root of 2/7	$\sqrt{14} - \sqrt{\frac{2}{7}}$
21834	Find the LCM	5 and 15	$5$ and $15$
21835	Determine the Number of Significant Figures	6.022*10^23	$6.022 \cdot 10^{23}$
21836	Add	(3x^2+xy-5y^2)+(2x^2-xy+3y^2)	$(3 x^{2} + x y - 5 y^{2}) + (2 x^{2} - x y + 3 y^{2})$
21837	Integrate Using u-Substitution	integral of sin(theta)^4cos(theta) with respect to theta , u=sin(theta)	$\int \sin^{4} (θ) \cos (θ) d θ$ , $u = \sin (θ)$
21838	Divide	1/2( square root of 3)/2	$\frac{1}{2} \cdot \frac{\sqrt{3}}{2}$
21839	Solve the Function Operation	f(x)=(x-5)^(1/5) ; find f^-1(x)	$f (x) = {(x - 5)}^{\frac{1}{5}}$ ; find $f^{- 1} (x)$
21840	Evaluate	(5x)/7-(7x)/5=24/35	$\frac{5 x}{7} - \frac{7 x}{5} = \frac{24}{35}$
21841	Graph	f(x)=0.3^X	$f (x) = {0.3}^{X}$
21842	Solve for x	x/(x-1)=1/3	$\frac{x}{x - 1} = \frac{1}{3}$
21843	Find the Complex Conjugate	1/2+3/2i	$\frac{1}{2} + \frac{3}{2} i$
21844	Graph	f(x)=(-3x+12)/(x^2-4x)	$f (x) = \frac{- 3 x + 12}{x^{2} - 4 x}$
21845	Simplify the Matrix	(xy^-6)/(x^-4y^2) , x!=0 , y!=0	$\frac{x y^{- 6}}{x^{- 4} y^{2}}$ , $x \neq 0$ , $y \neq 0$
21846	Evaluate	2/3 square root of x=6	$\frac{2}{3} \sqrt{x} = 6$
21847	Find Amplitude, Period, and Phase Shift	y=2cos(3x-pi)+4 ?	$y = 2 \cos (3 x - π) + 4$ ?
21848	Multiply	(2(x+3))/(x(x-1))*(4x(x+2))/(10(x+3))	$\frac{2 (x + 3)}{x (x - 1)} \cdot \frac{4 x (x + 2)}{10 (x + 3)}$
21849	Simplify	square root of 45x^4y^7	$\sqrt{45} x^{4} y^{7}$
21850	Multiply	1/2x*1/2x	$\frac{1}{2} x \cdot \frac{1}{2} x$
21851	Subtract	(x+2)/(x-6)-(x^2+5x+14)/(x^2-2x-24)	$\frac{x + 2}{x - 6} - \frac{x^{2} + 5 x + 14}{x^{2} - 2 x - 24}$
21852	Solve for u	6/(3u-18)-3=2/(u-6)	$\frac{6}{3 u - 18} - 3 = \frac{2}{u - 6}$
21853	Graph	y>-x-1y	$y > - x - 1 y$
21854	Find dy/dx	3xy+3y+5=-3x	$3 x y + 3 y + 5 = - 3 x$
21855	Find the LCD	(3x)/(2x+8) and -2/(x+4)	$\frac{3 x}{2 x + 8}$ and $\frac{- 2}{x + 4}$
21856	Simplify	(8+i^8)+(3-i^6)	$(8 + i^{8}) + (3 - i^{6})$
21857	Solve for θ in Degrees	-4sin(theta)+5=3sin(theta)+5	$- 4 \sin (θ) + 5 = 3 \sin (θ) + 5$
21858	Solve the Rational Equation for x	2+ square root of x+1- square root of x+5=0	$2 + \sqrt{x + 1} - \sqrt{x + 5} = 0$
21859	Write in Standard Form	(-10x^2+9x)-(-6x+4)	$(- 10 x^{2} + 9 x) - (- 6 x + 4)$
21860	Graph	5x+3y<-6 x+3y>=6	$5 x + 3 y < - 6$ $x + 3 y \geq 6$
21861	Find the Derivative - d/dx	natural log of square root of 1+x^2	$\ln (\sqrt{1 + x^{2}})$
21862	Convert from Radians to Degrees	sin(30)	$\sin (30)$
21863	Find Where Increasing/Decreasing	f(x)=(x+x^2)e^(-2x)	$f (x) = (x + x^{2}) e^{- 2 x}$
21864	Simplify	(-2x^5y)^4*(-3x^-4y^2)^2	${(- 2 x^{5} y)}^{4} \cdot {(- 3 x^{- 4} y^{2})}^{2}$
21865	Simplify	(12/(10x-40))/(4/(2x-8))	$\frac{\frac{12}{10 x - 40}}{\frac{4}{2 x - 8}}$
21866	Solve the System of Equations	x-y+z=14 y+z=15 z=7	$x - y + z = 14$ $y + z = 15$ $z = 7$
21867	Simplify the Radical Expression	3 square root of 40a^3+2 square root of 160a^3-a square root of 360a	$3 \sqrt{40 a^{3}} + 2 \sqrt{160 a^{3}} - a \sqrt{360 a}$
21868	Solve the Inequality for x	x^2+4<=4x	$x^{2} + 4 \leq 4 x$
21869	Simplify the Matrix	([(1,4-0,2)*3,2])÷1 , 5	$[(1, 4 - 0, 2) \cdot 3, 2] \div 1$ , $5$
21870	Solve the System of Equations	4x-2y+3z=-3 2x-3y+2z=1 6x+10z=-2	$4 x - 2 y + 3 z = - 3$ $2 x - 3 y + 2 z = 1$ $6 x + 10 z = - 2$
21871	Evaluate the Limit	limit as x approaches 7 of ( square root of x-6-1)/(7-x)	$lim_{x \to 7} \frac{\sqrt{x - 6} - 1}{7 - x}$
21872	Simplify	(5e^x)/(e^(5x))	$\frac{5 e^{x}}{e^{5 x}}$
21873	Solve for x	x+x+x=180	$x + x + x = 180$
21874	Factor	x^4-2x^3-5x^2+6x	$x^{4} - 2 x^{3} - 5 x^{2} + 6 x$
21875	Solve the System of Equations	-5x-3y+z=-4 -2x-2y+2z=4 z=x+5	$- 5 x - 3 y + z = - 4$ $- 2 x - 2 y + 2 z = 4$ $z = x + 5$
21876	Solve for x	x-2 = square root of 3/2x-2	$x - 2 = \sqrt{\frac{3}{2} x - 2}$
21877	Find the End Behavior	y=5-17x^7+9x^10	$y = 5 - 17 x^{7} + 9 x^{10}$
21878	Find the Derivative - d/dx	mx^(m-1)	$m x^{m - 1}$
21879	Solve the Inequality for x	2x^2+10x-8>7x-6	$2 x^{2} + 10 x - 8 > 7 x - 6$
21880	Find the Exact Value	(6(cos(pi/3)+isin(pi/3)))/(3(cos(pi/6)+isin(pi/6)))	$\frac{6 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))}{3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))}$
21881	Solve the Function Operation	Given that f(x)=x^2+3x-28 and g(x)=x+7 ; find f(x)+g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 3 x - 28$ and $g (x) = x + 7$ ; find $f (x) + g (x)$ and express the result in standard form.
21882	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,8) and has a slope of -1/4 ?	What is the equation of the line that passes through the point $(- 4, 8)$ and has a slope of $- \frac{1}{4}$ ?
21883	Solve for y	x-(y+2)=2(2x+1)	$x - (y + 2) = 2 (2 x + 1)$
21884	Solve for x	(3^(x-2))/(3^4)=1/9	$\frac{3^{x - 2}}{3^{4}} = \frac{1}{9}$
21885	Find the Possible Factors	Factors of 14	Factors of $14$
21886	Find the Domain	e^(1/x)	$e^{\frac{1}{x}}$
21887	Evaluate	square root of 4x+5=3+ square root of 2x-6	$\sqrt{4 x + 5} = 3 + \sqrt{2 x - 6}$
21888	Solve for x	(2x+3)/5=y	$\frac{2 x + 3}{5} = y$
21889	Solve Over the Interval	4sin(theta)^2-3=0 , 0<=theta<2pi	$4 \sin^{2} (θ) - 3 = 0$ , $0 \leq θ < 2 π$
21890	Graph	\|n/4\|<=3	$\| \frac{n}{4} \| \leq 3$
21891	Write in Standard Form	(6.410^7)/(1.610^5)	$\frac{(6.4 \cdot 10^{7})}{(1.6 \cdot 10^{5})}$
21892	Solve for θ in Radians	tan(theta)=-1/( square root of 3)	$\tan (θ) = - \frac{1}{\sqrt{3}}$
21893	Simplify	(-7-2 square root of 5)+(6+8 square root of 5)	$(- 7 - 2 \sqrt{5}) + (6 + 8 \sqrt{5})$
21894	Solve the Function Operation	Find (f*g)(x) when f(x)=2x^2 and g(x)=6x	Find $(f \cdot g) (x)$ when $f (x) = 2 x^{2}$ and $g (x) = 6 x$
21895	Solve for t	8-1/t=7/(t^2)	$8 - \frac{1}{t} = \frac{7}{t^{2}}$
21896	Solve by Substitution	-3x+5y=-4 -x+y=0	$- 3 x + 5 y = - 4$ $- x + y = 0$
21897	Simplify	(x^(a-1)y^b)/(x^ay^(b-1))	$\frac{x^{a - 1} y^{b}}{x^{a} y^{b - 1}}$
21898	Simplify the Radical Expression	( square root of 21)/( square root of 15)	$\frac{\sqrt{21}}{\sqrt{15}}$
21899	Solve for a	3(a-6)=-5a-(7+3a)	$3 (a - 6) = - 5 a - (7 + 3 a)$
21900	Simplify	( fourth root of 81x^2y)/(2x^-1y)	$\frac{\sqrt[4]{81 x^{2} y}}{2 x^{- 1} y}$