Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
46601	Graph	y<-x+2 y<3	$y < - x + 2$ $y < 3$
46602	Evaluate the Limit	limit as x approaches pi from the right of (7 square root of x)/(csc(x))	$lim_{x \to π^{+}} \frac{7 \sqrt{x}}{\csc (x)}$
46603	Solve the Inequality for y	2x+3y<15	$2 x + 3 y < 15$
46604	Simplify	((x^2+x-20)/(4x^2-40x+96)*3/(25-x^2))÷((x+6)/(36-x^2))	$\frac{x^{2} + x - 20}{4 x^{2} - 40 x + 96} \cdot \frac{3}{25 - x^{2}} \div \frac{x + 6}{36 - x^{2}}$
46605	Find the Integral	(x^2)/(x^3+1)	$\frac{x^{2}}{x^{3} + 1}$
46606	Solve for θ	2cos(theta)^2=2+sin(theta)	$2 \cos^{2} (θ) = 2 + \sin (θ)$
46607	Find the Maximum/Minimum Value	y=x^2+x+2	$y = x^{2} + x + 2$
46608	Find dy/dx	cos(x+y)=y	$\cos (x + y) = y$
46609	Evaluate the Limit	limit as x approaches 0 of (2x^3+5x^2-10x)/(x^2+2x)	$lim_{x \to 0} \frac{2 x^{3} + 5 x^{2} - 10 x}{x^{2} + 2 x}$
46610	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+14x^2+16x+5 is divided by 2x+1	Use the long division method to find the result when $4 x^{3} + 14 x^{2} + 16 x + 5$ is divided by $2 x + 1$
46611	Graph	y<-6/5x+6 y<3/4x+1	$y < - \frac{6}{5} x + 6$ $y < \frac{3}{4} x + 1$
46612	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-8,3) and has a slope of -1/4 ?	What is the equation of the line that passes through the point $(- 8, 3)$ and has a slope of $- \frac{1}{4}$ ?
46613	Simplify the Radical Expression	-5 square root of x^3	$- 5 \sqrt{x^{3}}$
46614	Simplify	(-3x^2y^2)(-3xy)^2	$(- 3 x^{2} y^{2}) {(- 3 x y)}^{2}$
46615	Solve the Function Operation	f(x)=(x^(1/3)-1)/9 ; find f^-1(x)	$f (x) = \frac{x^{\frac{1}{3}} - 1}{9}$ ; find $f^{- 1} (x)$
46616	Simplify the Radical Expression	2 square root of 45-4 square root of 135-2 square root of 80+2 square root of 60	$2 \sqrt{45} - 4 \sqrt{135} - 2 \sqrt{80} + 2 \sqrt{60}$
46617	Find the Roots (Zeros)	3x^2=12-5x	$3 x^{2} = 12 - 5 x$
46618	Solve for x	x^4=5x^3-9x^2	$x^{4} = 5 x^{3} - 9 x^{2}$
46619	Solve for x	35=12cos(66pix)+40	$35 = 12 \cos (66 π x) + 40$
46620	Find the Derivative - d/dt	( natural log of t)^2	$\ln^{2} (t)$
46621	Find the Exact Value	(tan(pi/3))/2-1/(sec(pi/6))	$\frac{\tan (\frac{π}{3})}{2} - \frac{1}{\sec (\frac{π}{6})}$
46622	Solve the System of Equations	-6x+8y+3z=9 -6x+y+5z=2 x+2y-z=5	$- 6 x + 8 y + 3 z = 9$ $- 6 x + y + 5 z = 2$ $x + 2 y - z = 5$
46623	Solve the Function Operation	2A+0.75S=1 , 109 , A+S=937	$2 A + 0.75 S = 1$ , $109$ , $A + S = 937$
46624	Round to the Nearest Whole Number	1/2	$\frac{1}{2}$
46625	Solve the Inequality for x	x^3-2x^2>15x	$x^{3} - 2 x^{2} > 15 x$
46626	Solve for b	-4+3b^2=143	$- 4 + 3 b^{2} = 143$
46627	Evaluate the Limit	limit as x approaches 11 from the right of ( square root of x-11)/x	$lim_{x \to 11^{+}} \frac{\sqrt{x - 11}}{x}$
46628	Evaluate	cube root of 5* cube root of 5^5	$\sqrt[3]{5} \cdot \sqrt[3]{5^{5}}$
46629	Solve for p	4/(p+2)=1/(p^2+2p)+1/p	$\frac{4}{p + 2} = \frac{1}{p^{2} + 2 p} + \frac{1}{p}$
46630	Solve Using the Quadratic Formula	x^2=m	$x^{2} = m$
46631	Find the Center and Radius	x^2+y^2+6y=-50-14x	$x^{2} + y^{2} + 6 y = - 50 - 14 x$
46632	Graph	f^-1(x)=-(x^2)/3+4/3	$f^{- 1} (x) = - \frac{x^{2}}{3} + \frac{4}{3}$
46633	Simplify	2x^3-4x^2+7x+1-x^3+2x^2+3x-5	$2 x^{3} - 4 x^{2} + 7 x + 1 - x^{3} + 2 x^{2} + 3 x - 5$
46634	Find the Excluded Values	(x-3)/(x^2-64)+11/(x^2-64)	$\frac{x - 3}{x^{2} - 64} + \frac{11}{x^{2} - 64}$
46635	Find the Average Value of the Function	f(x)=x^2 , [0,3]	$f (x) = x^{2}$ , $[0, 3]$
46636	Solve for x	log of 2+ log of x-4 = log of 3x+8	$\log (2) + \log (x - 4) = \log (3 x + 8)$
46637	Evaluate	(3^-4*3^2)/3	$\frac{3^{- 4} \cdot 3^{2}}{3}$
46638	Solve for θ	tan(theta)>0	$\tan (θ) > 0$
46639	Solve for x	-(2x)^2+1=-3	$- {(2 x)}^{2} + 1 = - 3$
46640	Simplify	(-15a^0bc^2)/(-60a^-8b^-6c^0)	$\frac{- 15 a^{0} b c^{2}}{- 60 a^{- 8} b^{- 6} c^{0}}$
46641	Simplify	(3 square root of 2)	$(3 \sqrt{2})$
46642	Solve by Addition/Elimination	-x-5y+z=17 -5x-5y+5z=5 2x+5y-3z=-10	$- x - 5 y + z = 17$ $- 5 x - 5 y + 5 z = 5$ $2 x + 5 y - 3 z = - 10$
46643	Solve for x	x/3=x+2	$\frac{x}{3} = x + 2$
46644	Solve by Substitution	4x-y=6 2x-y/2=4	$4 x - y = 6$ $2 x - \frac{y}{2} = 4$
46645	Solve for w	2w^2-15w+19=0	$2 w^{2} - 15 w + 19 = 0$
46646	Simplify the Radical Expression	2 square root of 50ab^5	$2 \sqrt{50 a b^{5}}$
46647	Simplify	square root of 6x^5* square root of 8x^2	$\sqrt{6 x^{5}} \cdot \sqrt{8 x^{2}}$
46648	Simplify	(6- square root of 5)/(6+ square root of 5)	$\frac{6 - \sqrt{5}}{6 + \sqrt{5}}$
46649	Solve the Inequality for x	-3+\|x-2\|>5	$- 3 + \| x - 2 \| > 5$
46650	Evaluate	square root of 3x+7=7	$\sqrt{3 x + 7} = 7$
46651	Solve the Inequality for p	3p-5>2p+p-7	$3 p - 5 > 2 p + p - 7$
46652	Find the x and y Intercepts	x+1/3y=-3	$x + \frac{1}{3} y = - 3$
46653	Divide	(6y^2-5y-15)(2y+3)^-1	$(6 y^{2} - 5 y - 15) {(2 y + 3)}^{- 1}$
46654	Solve the System of Equations	y=-x+8 x+y=7	$y = - x + 8$ $x + y = 7$
46655	Solve for x	(7+x)/x=22	$\frac{7 + x}{x} = 22$
46656	Simplify	(a^2b(b-3))/(b^3(b-3)^2)	$\frac{a^{2} b (b - 3)}{b^{3} {(b - 3)}^{2}}$
46657	Multiply	(7x+2y)*(7x-2y)	$(7 x + 2 y) \cdot (7 x - 2 y)$
46658	Find the Domain and Range	f(x)=[x-1]	$f (x) = [x - 1]$
46659	Solve for n	-n+5=n-11	$- n + 5 = n - 11$
46660	Find dy/dx	ax^5+x^3y-y^2x=12	$a x^{5} + x^{3} y - y^{2} x = 12$
46661	Simplify	square root of 9( square root of 3+18 square root of 2)	$\sqrt{9} (\sqrt{3} + 18 \sqrt{2})$
46662	Simplify	11-2m-n+5+-m-3n+8	$11 - 2 m - n + 5 + - m - 3 n + 8$
46663	Find the Derivative - d/dx	x+27/(2x^2)	$x + \frac{27}{2 x^{2}}$
46664	Simplify	((4^5)/4)^3	${(\frac{4^{5}}{4})}^{3}$
46665	Evaluate the Limit	limit as x approaches b of ((x-b)^10-4x+4b)/(x-b)	$lim_{x \to b} \frac{{(x - b)}^{10} - 4 x + 4 b}{x - b}$
46666	Add	2 square root of z+3 square root of z+ square root of z	$2 \sqrt{z} + 3 \sqrt{z} + \sqrt{z}$
46667	Solve the System of Equations	-x-5y=18 and -x+4y=-18	$- x - 5 y = 18$ and $- x + 4 y = - 18$
46668	Solve for x	-4=x^2-4x	$- 4 = x^{2} - 4 x$
46669	Describe the Transformation	f(x)=1/2(x-8)^3+4	$f (x) = \frac{1}{2} {(x - 8)}^{3} + 4$
46670	Solve for x	400>(1/20)^(7x+8)	$400 > {(\frac{1}{20})}^{7 x + 8}$
46671	Find the Slope	What is the slope of the line through (2,-2) and (9,3) ?	What is the slope of the line through $(2, - 2)$ and $(9, 3)$ ?
46672	Find the Domain	(5x+1)/(5x-20)+(x+17)/(20-5x)	$\frac{5 x + 1}{5 x - 20} + \frac{x + 17}{20 - 5 x}$
46673	Convert to a Percentage	6 is what percent of 8	$6$ is what percent of $8$
46674	Find the Exact Value	2sin(225)	$2 \sin (225)$
46675	Graph	g(x)=3 if x<-3; x^2+2 if -3<=x<=1; 3 if x>1	$g (x) = {\begin{cases} 3 & x < - 3 \\ x^{2} + 2 & - 3 \leq x \leq 1 \\ 3 & x > 1 \end{cases}$
46676	Graph	sin(theta)<0 and sec(theta)<0	$\sin (θ) < 0$ and $\sec (θ) < 0$
46677	Graph	-28>=4-8x	$- 28 \geq 4 - 8 x$
46678	Find the Remainder	(6x^3-19x^2+20)÷(x^2-2x-3)	$(6 x^{3} - 19 x^{2} + 20) \div (x^{2} - 2 x - 3)$
46679	Solve the System of Equations	4x^2-3y^2+19y-44=0 x+y=2	$4 x^{2} - 3 y^{2} + 19 y - 44 = 0$ $x + y = 2$
46680	Write in Standard Form	y-x+4=0	$y - x + 4 = 0$
46681	Write in Standard Form	f(x)=7-1.6x^2-5x	$f (x) = 7 - 1.6 x^{2} - 5 x$
46682	Simplify the Radical Expression	( seventh root of 256x^8)/( seventh root of 2x)	$\frac{\sqrt[7]{256 x^{8}}}{\sqrt[7]{2 x}}$
46683	Evaluate	( square root of 3+1-2)/(3-3)	$\frac{\sqrt{3 + 1} - 2}{3 - 3}$
46684	Find the Product	(7a)(3ab)-4a^2b	$(7 a) (3 a b) - 4 a^{2} b$
46685	Evaluate the Integral	integral from 0 to 1 of (1-x^9) with respect to x	$\int_{0}^{1} (1 - x^{9}) d x$
46686	Find the Slope and y-intercept	y-9x=1/2	$y - 9 x = \frac{1}{2}$
46687	Evaluate	(2(1)^(3/2))/3	$\frac{2 {(1)}^{\frac{3}{2}}}{3}$
46688	Simplify	(24e^5)/(6e)	$\frac{24 e^{5}}{6 e}$
46689	Multiply	(-3 square root of 2)(-2 square root of 50)	$(- 3 \sqrt{2}) (- 2 \sqrt{50})$
46690	Solve Using the Quadratic Formula	N=(t^2-t)/2	$N = \frac{t^{2} - t}{2}$
46691	Solve for x	-4\|6+3x\|+3<=-21	$- 4 \| 6 + 3 x \| + 3 \leq - 21$
46692	Solve for m	cube root of 2m=4	$\sqrt[3]{2 m} = 4$
46693	Solve for x in Degrees	2sin(x)tan(x)=9tan(x)	$2 \sin (x) \tan (x) = 9 \tan (x)$
46694	Find the Derivative - d/dx	y=arcsec( square root of 3x^3)	$y = arcsec (\sqrt{3 x^{3}})$
46695	Graph	table[[x,y],[-2,4],[-1,1],[0,0],[1,1],[2,4]]	$\begin{array}{c} x & y \\ - 2 & 4 \\ - 1 & 1 \\ 0 & 0 \\ 1 & 1 \\ 2 & 4 \end{array}$
46696	Simplify	( cube root of 32x^7)÷( cube root of 4x^2)	$\sqrt[3]{32 x^{7}} \div \sqrt[3]{4 x^{2}}$
46697	Solve for θ	cos(theta)^2-sin(theta)^2+sin(theta)=0	$\cos^{2} (θ) - \sin^{2} (θ) + \sin (θ) = 0$
46698	Solve the System of Inequalities	4x-11>=13 or 4x+5<=6	$4 x - 11 \geq 13$ or $4 x + 5 \leq 6$
46699	Simplify	x^2-3^2	$x^{2} - 3^{2}$
46700	Write as a Single Logarithm	2( log of 18- log of 3)+1/2 log of 1/16	$2 (\log (18) - \log (3)) + \frac{1}{2} \log (\frac{1}{16})$