Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
47801	Find the Antiderivative	f(x)=5*2x	$f (x) = 5 \cdot 2 x$
47802	Graph	Graph the line y=3	Graph the line $y = 3$
47803	Solve the System of Equations	y=3/2x+2 y=1/2x+4	$y = \frac{3}{2} x + 2$ $y = \frac{1}{2} x + 4$
47804	Solve the Rational Equation for b	square root of -5-b = square root of 5b+25	$\sqrt{- 5 - b} = \sqrt{5 b + 25}$
47805	Solve the System of Inequalities	3y>2x+12 2x+y<=-5	$3 y > 2 x + 12$ $2 x + y \leq - 5$
47806	Find the Domain	f(x)=sec(x)+1/2	$f (x) = \sec (x) + \frac{1}{2}$
47807	Find the Domain	(x(x+1))/(x+4)	$\frac{x (x + 1)}{x + 4}$
47808	Simplify	3q+2r+q+q+q+q+q	$3 q + 2 r + q + q + q + q + q$
47809	Solve for x	9^(x-6)=729^(3(x+2))	$9^{x - 6} = 729^{3 (x + 2)}$
47810	Solve for x	1+3/(3-x)=(x+3)/(x^2-9)	$1 + \frac{3}{3 - x} = \frac{x + 3}{x^{2} - 9}$
47811	Divide	(15x^5y^4-25x^4y^3)/(5x^2y^3)	$\frac{15 x^{5} y^{4} - 25 x^{4} y^{3}}{5 x^{2} y^{3}}$
47812	Solve for a	x^2+4x-9=(x+a)^2+b	$x^{2} + 4 x - 9 = {(x + a)}^{2} + b$
47813	Simplify	(4/27)^(-1/3)	${(\frac{4}{27})}^{- \frac{1}{3}}$
47814	Solve Using the Quadratic Formula	e+1.2=2	$e + 1.2 = 2$
47815	Solve the Function Operation	g(x)=2x f(x)=-2x^3+2x Find g(x)+f(x)	$g (x) = 2 x$ $f (x) = - 2 x^{3} + 2 x$ Find $g (x) + f (x)$
47816	Simplify	(2m^2)^3*(3m^3)^2	${(2 m^{2})}^{3} \cdot {(3 m^{3})}^{2}$
47817	Find the Asymptotes	(2x(x+5))/((3x-2)(x+4))	$\frac{2 x (x + 5)}{(3 x - 2) (x + 4)}$
47818	Solve for x	(2x)/3+1/2=5/6	$\frac{2 x}{3} + \frac{1}{2} = \frac{5}{6}$
47819	Simplify	63÷7-3*2+4	$63 \div 7 - 3 \cdot 2 + 4$
47820	Find the Derivative - d/dt	2tan(t)	$2 \tan (t)$
47821	Evaluate	1/2*3^1	$\frac{1}{2} \cdot 3^{1}$
47822	Find the Slope	f(x)=2(3x-7)	$f (x) = 2 (3 x - 7)$
47823	Solve the Inequality for x	2x-3y>=12	$2 x - 3 y \geq 12$
47824	Find the Concavity	1/3x^3-3x^2-16x	$\frac{1}{3} x^{3} - 3 x^{2} - 16 x$
47825	Simplify	(-3)(2/5x)(-20)	$(- 3) (\frac{2}{5} x) (- 20)$
47826	Evaluate the Limit	limit as x approaches 6 from the left of (x+9)/(x+6)	$lim_{x \to 6^{-}} \frac{x + 9}{x + 6}$
47827	Convert from Radians to Degrees	4.5rad	$4.5$ radians
47828	Evaluate	20÷(-4)3+2+65	$20 \div (- 4) \cdot 3 + 2 + 6 \cdot 5$
47829	Solve for x	x square root of 2 = square root of 5	$x \sqrt{2} = \sqrt{5}$
47830	Solve for x	-10+3(4x)^(-1/6)=-17/2	$- 10 + 3 {(4 x)}^{- \frac{1}{6}} = - \frac{17}{2}$
47831	Solve for c	a=h(b+c)	$a = h (b + c)$
47832	Simplify	10^7+9+1^3	$10^{7} + 9 + 1^{3}$
47833	Find the Fourth Derivative	a_n=n*(n+1)!	$a_{n} = n \cdot (n + 1)!$
47834	Factor	125x^9+64y^3z^12	$125 x^{9} + 64 y^{3} z^{12}$
47835	Solve for n	8*3^(n-1)-21=51	$8 \cdot 3^{n - 1} - 21 = 51$
47836	Evaluate the Integral	integral from 0 to natural log of square root of 3 of (e^x)/(1+e^(2x)) with respect to x	$\int_{0}^{\ln (\sqrt{3})} \frac{e^{x}}{1 + e^{2 x}} d x$
47837	Simplify	11b^3+5c^5+23+a^2-6c^5-3b^3-6a^2-16	$11 b^{3} + 5 c^{5} + 23 + a^{2} - 6 c^{5} - 3 b^{3} - 6 a^{2} - 16$
47838	Solve for P₁	natural log of P_2/P_1=-H/R*(1/T_2-1/T_1)	$\ln (\frac{P_{2}}{P_{1}}) = - \frac{H}{R} \cdot (\frac{1}{T_{2}} - \frac{1}{T_{1}})$
47839	Find the Exact Value	10^7+9+1^3	$10^{7} + 9 + 1^{3}$
47840	Add	-3/4+5/12	$- \frac{3}{4} + \frac{5}{12}$
47841	Find the Degree, Leading Term, and Leading Coefficient	f(x)=(x-4)^2(x+1)	$f (x) = {(x - 4)}^{2} (x + 1)$
47842	Find the Inverse	f(x)=(7-2x)/(3x)	$f (x) = \frac{7 - 2 x}{3 x}$
47843	Solve by Addition/Elimination	x+3y+2z=2 -2x-2y=-12 -x-2y-z=-4	$x + 3 y + 2 z = 2$ $- 2 x - 2 y = - 12$ $- x - 2 y - z = - 4$
47844	Solve for M	M=(-1/8)^(-3^-1)+(1/16)^(-4^-1)	$M = {(- \frac{1}{8})}^{- 3^{- 1}} + {(\frac{1}{16})}^{- 4^{- 1}}$
47845	Simplify	((2ab^2c^3)/(3a^2c))^-3	${(\frac{2 a b^{2} c^{3}}{3 a^{2} c})}^{- 3}$
47846	Solve the Function Operation	Given that f(x)=x^2+9x+20 and g(x)=x+4 ; find (f-g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 9 x + 20$ and $g (x) = x + 4$ ; find $(f - g) (x)$ and express the result in standard form.
47847	Subtract	8/7-4/(7x)	$\frac{8}{7} - \frac{4}{7 x}$
47848	Solve for x	square root of 4x+28-3 square root of 2x=0	$\sqrt{4 x + 28} - 3 \sqrt{2 x} = 0$
47849	Solve the Inequality for x	sin(x)<=1/2	$\sin (x) \leq \frac{1}{2}$
47850	Graph	2y<=-3x-6	$2 y \leq - 3 x - 6$
47851	Evaluate	-192(-1/4)^(6-1)	$- 192 {(- \frac{1}{4})}^{6 - 1}$
47852	Subtract	5/(x-4)-(x-4)/(3x+5)	$\frac{5}{x - 4} - \frac{x - 4}{3 x + 5}$
47853	Write in Slope-Intercept Form	(-3,7) and (1,-1)	$(- 3, 7)$ and $(1, - 1)$
47854	Solve for y	3+10/y=1/2	$3 + \frac{10}{y} = \frac{1}{2}$
47855	Find the Antiderivative	sin(pi/2-6x)	$\sin (\frac{π}{2} - 6 x)$
47856	Find the x and y Intercepts	f(x)=x^2(x-2)(x^2+3)	$f (x) = x^{2} (x - 2) (x^{2} + 3)$
47857	Simplify	(5-x square root of 3)^2	${(5 - x \sqrt{3})}^{2}$
47858	Solve for x	square root of 7-6x+3x=2	$\sqrt{7 - 6 x} + 3 x = 2$
47859	Solve for v	2+3v=v+2	$2 + 3 v = v + 2$
47860	Simplify	(3-6)^2-4^2	${(3 - 6)}^{2} - 4^{2}$
47861	Solve for y	x-y=12 27+3y=2x	$x - y = 12$ $27 + 3 y = 2 x$
47862	Factor	(2-n)(n^2+6n)(3n-11)	$(2 - n) (n^{2} + 6 n) (3 n - 11)$
47863	Evaluate	53w+13<56w+16	$53 w + 13 < 56 w + 16$
47864	Evaluate	2(180/pi)	$2 (\frac{180}{π})$
47865	Find the Focal Parameter	x^2=12y	$x^{2} = 12 y$
47866	Solve for x	(x+10)/2-13/(x+1)=11/3	$\frac{x + 10}{2} - \frac{13}{x + 1} = \frac{11}{3}$
47867	Evaluate the Integral	integral of ( square root of x^5)/4 with respect to x	$\int \frac{\sqrt{x^{5}}}{4} d x$
47868	Find the Value Using the Unit Circle	sec(-90 degrees )	$\sec (- 90 °)$
47869	Simplify	3m^2-3n^2+n+3m^2-7+4	$3 m^{2} - 3 n^{2} + n + 3 m^{2} - 7 + 4$
47870	Determine if (5,2) is a Solution	x-y<=0 , (5,2)	$x - y \leq 0$ , $(5, 2)$
47871	Find the Domain	x^4+2x^3+2x^2+x	$x^{4} + 2 x^{3} + 2 x^{2} + x$
47872	Evaluate the Limit	limit as x approaches -1 of (x^2+7x+6)/(x^2+x)	$lim_{x \to - 1} \frac{x^{2} + 7 x + 6}{x^{2} + x}$
47873	Solve the System of Equations	(x-5)^2+y^2=90 x+3y=5	${(x - 5)}^{2} + y^{2} = 90$ $x + 3 y = 5$
47874	Simplify	square root of 6a^5b^2* square root of 3ab^3	$\sqrt{6 a^{5} b^{2}} \cdot \sqrt{3 a b^{3}}$
47875	Evaluate	(x-7)(3x+2)	$(x - 7) (3 x + 2)$
47876	Expand Using Sum/Difference Formulas	tan(15pi-2t)	$\tan (15 π - 2 t)$
47877	Write in Standard Form	(x^5)/5+1-x^4+9x^2	$\frac{x^{5}}{5} + 1 - x^{4} + 9 x^{2}$
47878	Find the Second Derivative	f(x)=-5/2x^2-3/2x^-3+2x^3	$f (x) = - \frac{5}{2} x^{2} - \frac{3}{2} x^{- 3} + 2 x^{3}$
47879	Integrate By Parts	integral of cos(x)^3 with respect to x	$\int \cos^{3} (x) d x$
47880	Simplify	-(2a^5)/(3(a^-5)^4)	$- \frac{2 a^{5}}{3 {(a^{- 5})}^{4}}$
47881	Find dy/dx	x^2y-5y=12	$x^{2} y - 5 y = 12$
47882	Find the Exact Value	( log base 3 of 2)( log base 3 of 4)	$(\log_{3} (2)) (\log_{3} (4))$
47883	Solve for a	4a^2+4=72	$4 a^{2} + 4 = 72$
47884	Solve for x	1-x>0	$1 - x > 0$
47885	Solve the Inequality for x	2/(x+1)<=3/(x-1)	$\frac{2}{x + 1} \leq \frac{3}{x - 1}$
47886	Determine if Continuous	f(x)=e^x if x<0; x^2 if x>0	$f (x) = {\begin{cases} e^{x} & x < 0 \\ x^{2} & x > 0 \end{cases}$
47887	Simplify	-2/-6	$- \frac{2}{- 6}$
47888	Solve for x	7x+4(5-x)=24x-3(x-4)	$7 x + 4 (5 - x) = 24 x - 3 (x - 4)$
47889	Evaluate the Limit	limit as x approaches 2 of ( square root of 2x+5- square root of x+7)/(x-2)	$lim_{x \to 2} \frac{\sqrt{2 x + 5} - \sqrt{x + 7}}{x - 2}$
47890	Solve for z	12z^2=7z^2+20	$12 z^{2} = 7 z^{2} + 20$
47891	Simplify	(7p*1/2x^2)÷(p/4)-7x	$7 p \cdot \frac{1}{2} x^{2} \div \frac{p}{4} - 7 x$
47892	Simplify	(3/(5r))÷(9/(rs))	$\frac{3}{5 r} \div \frac{9}{r s}$
47893	Solve for x	64^(3x+3)*32=2^6	$64^{3 x + 3} \cdot 32 = 2^{6}$
47894	Factor by Grouping	405x^4-5x^2	$405 x^{4} - 5 x^{2}$
47895	Solve for q	4q^2+q-2=0	$4 q^{2} + q - 2 = 0$
47896	Find the Holes in the Graph	f(x)=(x^2-4)/(x^2-9)	$f (x) = \frac{x^{2} - 4}{x^{2} - 9}$
47897	Solve for x	x>=2/(x+1)	$x \geq \frac{2}{x + 1}$
47898	Find dy/dx	y=(3x^3+5)/(3+2x)	$y = \frac{3 x^{3} + 5}{3 + 2 x}$
47899	Find the Roots (Zeros)	x^3-4x^2+8=0	$x^{3} - 4 x^{2} + 8 = 0$
47900	Find Where Increasing/Decreasing	y=7500(1+0.03)^x	$y = 7500 {(1 + 0.03)}^{x}$