Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
47101	Integrate Using u-Substitution	integral of xsin(x/2) with respect to x	$\int x \sin (\frac{x}{2}) d x$
47102	Write in Standard Form	2-5/6x=7/8	$2 - \frac{5}{6} x = \frac{7}{8}$
47103	Find the Antiderivative	f(x)=cos(4x-3)	$f (x) = \cos (4 x - 3)$
47104	Solve the System of Equations	3x+y=-8 -2x-y=6	$3 x + y = - 8$ $- 2 x - y = 6$
47105	Graph	f(x)=1/2 cube root of x+3-5	$f (x) = \frac{1}{2} \sqrt[3]{x + 3} - 5$
47106	Solve the Function Operation	4k+3=14	$4 k + 3 = 14$
47107	Simplify	(-2x^2yz^2+3x^2y)(-5y^2z^3-4z)(xy^2+z)	$(- 2 x^{2} y z^{2} + 3 x^{2} y) \cdot (- 5 y^{2} z^{3} - 4 z) \cdot (x y^{2} + z)$
47108	Find the LCD	3/(7x+2) and 7/(3x)	$\frac{3}{7 x + 2}$ and $\frac{7}{3 x}$
47109	Graph	y>=2x^2+x-5	$y \geq 2 x^{2} + x - 5$
47110	Find the Domain	f(x)=(x^2-3x)/(2x^2+2x-12)	$f (x) = \frac{x^{2} - 3 x}{2 x^{2} + 2 x - 12}$
47111	Find the Quotient	(x^2-x-30)÷(x-6)	$(x^{2} - x - 30) \div (x - 6)$
47112	Evaluate	1/2(40)^2(2pi)/3	$\frac{1}{2} {(40)}^{2} \frac{2 π}{3}$
47113	Graph	y>-x/5+9	$y > - \frac{x}{5} + 9$
47114	Graph	y>-3x x+y<-5	$y > - 3 x$ $x + y < - 5$
47115	Solve for x	x-y-8=A	$x - y - 8 = A$
47116	Write in Standard Form	(7x^3)(3x^7)	$(7 x^{3}) (3 x^{7})$
47117	Simplify the Radical Expression	fourth root of (256m^8n^4p^16)/(2m^4p^4)	$\sqrt[4]{\frac{256 m^{8} n^{4} p^{16}}{2 m^{4} p^{4}}}$
47118	Solve the Inequality for n	n+6>=-3	$n + 6 \geq - 3$
47119	Evaluate	15% of 75	$15 %$ of $75$
47120	Find the Inflection Points	-1/3x^6-3x^5-15/2x^4	$- \frac{1}{3} x^{6} - 3 x^{5} - \frac{15}{2} x^{4}$
47121	Multiply	1*2^1	$1 \cdot 2^{1}$
47122	Find the Antiderivative	2/(1-x^2)	$\frac{2}{1 - x^{2}}$
47123	Find Where Increasing/Decreasing	f(x)=2 cube root of x-4	$f (x) = 2 \sqrt[3]{x} - 4$
47124	Solve Using the Quadratic Formula	0=32-50x^2	$0 = 32 - 50 x^{2}$
47125	Evaluate	(x-y)^2-a(y-x)	${(x - y)}^{2} - a (y - x)$
47126	Graph	y^2<=16x^2	$y^{2} \leq 16 x^{2}$
47127	Solve for m	2m+4(m-3)=7m-4	$2 m + 4 (m - 3) = 7 m - 4$
47128	Convert to Radical Form	(8)^0.5	${(8)}^{0.5}$
47129	Simplify	(3^3-3^2)/((3/4)^2)	$\frac{3^{3} - 3^{2}}{{(\frac{3}{4})}^{2}}$
47130	Graph	g(x)<- square root of x-3+2	$g (x) < - \sqrt{x - 3} + 2$
47131	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+13x^2+9x+2 is divided by 3x+2	Use the long division method to find the result when $6 x^{3} + 13 x^{2} + 9 x + 2$ is divided by $3 x + 2$
47132	Simplify	3 2/5+(-7 1/5)	$3 \frac{2}{5} + (- 7 \frac{1}{5})$
47133	Simplify	(2x)/5+(2x^2-1)/10-(4x+1)/6	$\frac{2 x}{5} + \frac{2 x^{2} - 1}{10} - \frac{4 x + 1}{6}$
47134	Simplify	(1/(x+5))/((x+3)/(5x+15))	$\frac{\frac{1}{x + 5}}{\frac{x + 3}{5 x + 15}}$
47135	Convert to Radical Form	((12x)/4)^(1/2)	${(\frac{12 x}{4})}^{\frac{1}{2}}$
47136	Convert to a Decimal	12deg	$12$ degrees
47137	Evaluate the Limit	limit as x approaches -1 of (sin(2x^2+3x+1))/(x+1)	$lim_{x \to - 1} \frac{\sin (2 x^{2} + 3 x + 1)}{x + 1}$
47138	Find the Vertex	f(x)=-3\|x\|	$f (x) = - 3 \| x \|$
47139	Multiply	7/(4x^3)*(10x)/(2x)	$\frac{7}{4 x^{3}} \cdot \frac{10 x}{2 x}$
47140	Solve for x	x/(x-2)+1/(x-4)-2/(x^2-6x+8)=0	$\frac{x}{x - 2} + \frac{1}{x - 4} - \frac{2}{x^{2} - 6 x + 8} = 0$
47141	Find the Antiderivative	f(x)=e^(2x+3)	$f (x) = e^{2 x + 3}$
47142	Solve for t	2.75e^t=38.6	$2.75 e^{t} = 38.6$
47143	Solve for x	1/((x+1)(x+2))=A/(x+1)+B/(x+2)	$\frac{1}{(x + 1) (x + 2)} = \frac{A}{x + 1} + \frac{B}{x + 2}$
47144	Solve for x	5x-30-11x=3x+30+3x	$5 x - 30 - 11 x = 3 x + 30 + 3 x$
47145	Evaluate the Limit	limit as x approaches -pi/2 of cos(5x-cos(5x))	$lim_{x \to - \frac{π}{2}} \cos (5 x - \cos (5 x))$
47146	Evaluate	-cos((2pi)/3)	$- \cos (\frac{2 π}{3})$
47147	Factor	7xy+28x^3+y+4x^2	$7 x y + 28 x^{3} + y + 4 x^{2}$
47148	Graph	0=9/x+x	$0 = \frac{9}{x} + x$
47149	Find the Product	(-3r^3s^5)^2-r^6s^10	${(- 3 r^{3} s^{5})}^{2} - r^{6} s^{10}$
47150	Solve for y	square root of -4y+1+ square root of 2y+4=3	$\sqrt{- 4 y + 1} + \sqrt{2 y + 4} = 3$
47151	Graph	\|y\|>x^2-4\|x\|+3	$\| y \| > x^{2} - 4 \| x \| + 3$
47152	Simplify the Radical Expression	square root of 25- square root of -4+ square root of 9- square root of -81	$\sqrt{25} - \sqrt{- 4} + \sqrt{9} - \sqrt{- 81}$
47153	Solve for x	(4x)/(x+1)=((x+3)(x-1))/(x+1)	$\frac{4 x}{x + 1} = \frac{(x + 3) (x - 1)}{x + 1}$
47154	Add	-4.2x+3 and 2.5x-6	$- 4.2 x + 3$ and $2.5 x - 6$
47155	Subtract	(21x)-(-16+7x)	$(21 x) - (- 16 + 7 x)$
47156	Simplify	((c^2+4c)/(c^2-4))÷((3c+12)/(c-2))	$\frac{c^{2} + 4 c}{c^{2} - 4} \div \frac{3 c + 12}{c - 2}$
47157	Solve for m	m/3+2=0	$\frac{m}{3} + 2 = 0$
47158	Graph	(-5/2,9/2)	$(- \frac{5}{2}, \frac{9}{2})$
47159	Solve for a	m/f=4/a	$\frac{m}{f} = \frac{4}{a}$
47160	Find the Integral	( natural log of x)/xdx	$\frac{\ln (x)}{x} d x$
47161	Find the Derivative - d/dx	natural log of cos(x)^2	$\ln (\cos^{2} (x))$
47162	Simplify	2 square root of 7x*3 square root of 14x^2	$2 \sqrt{7 x \cdot 3 \sqrt{14 x^{2}}}$
47163	Find the Antiderivative	f(x)=5x^-3+2x-y	$f (x) = 5 x^{- 3} + 2 x - y$
47164	Solve by Graphing	4x-3y=-12 y=x+3	$4 x - 3 y = - 12$ $y = x + 3$
47165	Simplify	2/3+1/(15x^3)	$\frac{2}{3} + \frac{1}{15 x^{3}}$
47166	Solve for y	y = log base 1000000 of 10	$y = \log_{1000000} (10)$
47167	Graph	g(x)=1/4(x-3)^3+4	$g (x) = \frac{1}{4} {(x - 3)}^{3} + 4$
47168	Find the Slope	Find the slope of the line passing through the points (-5,4) and (3,-3)	Find the slope of the line passing through the points $(- 5, 4)$ and $(3, - 3)$
47169	Simplify	2/(5x)-3/(10x)	$\frac{2}{5 x} - \frac{3}{10 x}$
47170	Simplify	(3+5zi)(1+2i)-(2+5zi)(1+2i)	$(3 + 5 z i) (1 + 2 i) - (2 + 5 z i) (1 + 2 i)$
47171	Evaluate	-3^2+-4^2	$- 3^{2} + - 4^{2}$
47172	Find the Trig Value	cos(theta)=-3/5 , pi/2<theta<pi	$\cos (θ) = - \frac{3}{5}$ , $\frac{π}{2} < θ < π$
47173	Solve for c	-3(3c+5)=2(10-c)	$- 3 (3 c + 5) = 2 (10 - c)$
47174	Simplify	(-3a^2b^4*b^2)/(-2a^2b^-1)	$\frac{- 3 a^{2} b^{4} \cdot b^{2}}{- 2 a^{2} b^{- 1}}$
47175	Find dy/dx	sin(x^3y)=x^3	$\sin (x^{3} y) = x^{3}$
47176	Find the Derivative - d/dx	sin(4x^2+3x)	$\sin (4 x^{2} + 3 x)$
47177	Simplify	(-2/7)÷((3x-8)/(x+4))	$- \frac{2}{7} \div \frac{3 x - 8}{x + 4}$
47178	Graph	2x+4y=28 -2y=x+28	$2 x + 4 y = 28$ $- 2 y = x + 28$
47179	Solve for x	3<=1/3+x	$3 \leq \frac{1}{3} + x$
47180	Add	0+3/8+3/4+3/8	$0 + \frac{3}{8} + \frac{3}{4} + \frac{3}{8}$
47181	Expand Using Sum/Difference Formulas	-1/2(y-x)	$- \frac{1}{2} (y - x)$
47182	Find the Exact Value	((4pi)/3)	$(\frac{4 π}{3})$
47183	Solve for m	\|8m-10\|-9=1	$\| 8 m - 10 \| - 9 = 1$
47184	Write with Rational (Fractional) Exponents	square root of 4x^3 cube root of y^4	$\sqrt{4 x^{3}} \sqrt[3]{y^{4}}$
47185	Solve the Inequality for m	\|(m+3m)/3\|-1<=2	$\| \frac{m + 3 m}{3} \| - 1 \leq 2$
47186	Find the Derivative - d/dv	1/v	$\frac{1}{v}$
47187	Simplify	(n^(1/3))/(n^(1/3))	$\frac{n^{\frac{1}{3}}}{n^{\frac{1}{3}}}$
47188	Simplify	(2xy+4y^2)/(x^2+2xy)	$\frac{2 x y + 4 y^{2}}{x^{2} + 2 x y}$
47189	Evaluate the Integral	integral from 0 to 9 of pi( square root of x)^2 with respect to x	$\int_{0}^{9} π {(\sqrt{x})}^{2} d x$
47190	Simplify the Radical Expression	i^48	$i^{48}$
47191	Divide Using Long Polynomial Division	(-16x+15x^3-4+18x^2)÷(3x^2-2)	$(- 16 x + 15 x^{3} - 4 + 18 x^{2}) \div (3 x^{2} - 2)$
47192	Integrate By Parts	integral of x*e^x with respect to x	$\int x \cdot e^{x} d x$
47193	Solve the Inequality for x	(3+x)+7<2x	$(3 + x) + 7 < 2 x$
47194	Convert to a Decimal	175deg	$175$ degrees
47195	Add	-7 1/2+2	$- 7 \frac{1}{2} + 2$
47196	Find the Exact Value	2tan(pi/4)+cos(pi/4)tan(pi/3)	$2 \tan (\frac{π}{4}) + \cos (\frac{π}{4}) \tan (\frac{π}{3})$
47197	Find the Domain	f(x)=(11-2x)/(2x^2-13x-7)	$f (x) = \frac{11 - 2 x}{2 x^{2} - 13 x - 7}$
47198	Find the Exact Value	(27^(1/3))^3	${(27^{\frac{1}{3}})}^{3}$
47199	Simplify	square root of 3x* square root of 81x	$\sqrt{3 x} \cdot \sqrt{81 x}$
47200	Convert to Interval Notation	{x\|5<x}	${x \| 5 < x}$