Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
39601	Evaluate the Integral	integral from -4 to 0 of (y/4+ square root of y+5) with respect to y	$\int_{- 4}^{0} (\frac{y}{4} + \sqrt{y + 5}) d y$
39602	Find the Derivative - d/dx	x^3+2x+1/pisin(pix)	$x^{3} + 2 x + \frac{1}{π} \sin (π x)$
39603	Solve for x	x^(x^2)=2	$x^{x^{2}} = 2$
39604	Multiply	square root of 2x( square root of 2+ square root of x)	$\sqrt{2 x} (\sqrt{2} + \sqrt{x})$
39605	Find the Directrix	(x^2)/25+(y^2)/16=1	$\frac{x^{2}}{25} + \frac{y^{2}}{16} = 1$
39606	Rationalize the Denominator	( square root of 3x)/( square root of 5y)	$\frac{\sqrt{3 x}}{\sqrt{5 y}}$
39607	Solve for x	square root of 2x+1=1+2 square root of x	$\sqrt{2 x + 1} = 1 + 2 \sqrt{x}$
39608	Simplify	((x^12)^(1/3))/(x^-6)	$\frac{{(x^{12})}^{\frac{1}{3}}}{x^{- 6}}$
39609	Simplify	(1-(y^4)/16)^2	${(1 - \frac{y^{4}}{16})}^{2}$
39610	Subtract	x^2-2x-6--6x+5	$x^{2} - 2 x - 6 - - 6 x + 5$
39611	Evaluate	4(x+7)=2(x+38)	$4 (x + 7) = 2 (x + 38)$
39612	Evaluate	4a^2b^-2c^3	$4 a^{2} b^{- 2} c^{3}$
39613	Find All Complex Solutions	7/x=2/(x-5)	$\frac{7}{x} = \frac{2}{x - 5}$
39614	Solve for y	(-3,y) and (1,-7) , m=-4	$(- 3, y)$ and $(1, - 7)$ , $m = - 4$
39615	Solve for x	2^3 square root of (x+3)^2-1=7	$2^{3} \sqrt{{(x + 3)}^{2}} - 1 = 7$
39616	Add	(2a-3)/(10a^3b^2)+3/(15a^2b^2)	$\frac{2 a - 3}{10 a^{3} b^{2}} + \frac{3}{15 a^{2} b^{2}}$
39617	Find the Asymptotes	f(x)=(2x^3+8x^2-10x)/(2x^2+2x)	$f (x) = \frac{2 x^{3} + 8 x^{2} - 10 x}{2 x^{2} + 2 x}$
39618	Find the Derivative - d/dx	y^2(6-2x)	$y^{2} (6 - 2 x)$
39619	Solve the Function Operation	f(x)=3x-7 and g(x)=-2x-6 Find (fog)(4)	$f (x) = 3 x - 7$ and $g (x) = - 2 x - 6$ Find $((f \circ g)) (4)$
39620	Determine if Odd, Even, or Neither	f(x) = square root of 2x-5	$f (x) = \sqrt{2 x - 5}$
39621	Simplify	12x-(8-9x+3x^2)+6x^2	$12 x - (8 - 9 x + 3 x^{2}) + 6 x^{2}$
39622	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-8,0) and has a slope of -1/4 ?	What is the equation of the line that passes through the point $(- 8, 0)$ and has a slope of $- \frac{1}{4}$ ?
39623	Solve for x	-3 log base 5 of x+6<=9	$- 3 \log_{5} (x) + 6 \leq 9$
39624	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-2x^2(2x-1)^3(4x+3)	$f (x) = - 2 x^{2} {(2 x - 1)}^{3} (4 x + 3)$
39625	Solve the System of Equations	x-y=9 and -9x-3y=39	$x - y = 9$ and $- 9 x - 3 y = 39$
39626	Simplify	1/x+xy	$\frac{1}{x} + x y$
39627	Divide	(-2/9)÷(1/3)	$- \frac{2}{9} \div \frac{1}{3}$
39628	Evaluate	(120÷20)÷(2*3)	$(120 \div 20) \div (2 \times 3)$
39629	Evaluate	9m(2p-n+3)	$9 m (2 p - n + 3)$
39630	Evaluate	(120÷20)*(2+3)	$(120 \div 20) \cdot (2 + 3)$
39631	Evaluate	\|2x-1\|>\|3x+5\|	$\| 2 x - 1 \| > \| 3 x + 5 \|$
39632	Evaluate the Integral	integral from -1 to 0 of (y+ square root of y+2) with respect to y	$\int_{- 1}^{0} (y + \sqrt{y + 2}) d y$
39633	Solve the Inequality for x	3<=(2x+1)/3<=9	$3 \leq \frac{2 x + 1}{3} \leq 9$
39634	Evaluate the Integral	integral from 1 to 2 of (12/(x^2)-1) with respect to x	$\int_{1}^{2} (\frac{12}{x^{2}} - 1) d x$
39635	Evaluate the Function	f(t)=-2t^2+1 for f(-3)	$f (t) = - 2 t^{2} + 1$ for $f (- 3)$
39636	Evaluate	(b^-3c^0d^2)/(e^-4)	$\frac{b^{- 3} c^{0} d^{2}}{e^{- 4}}$
39637	Divide	( cube root of 6)÷( fourth root of 6)	$\sqrt[3]{6} \div \sqrt[4]{6}$
39638	Solve the Inequality for x	9<2x+3<5	$9 < 2 x + 3 < 5$
39639	Find the Derivative - d/dx	y=cos(x)^4-sin(x)^4	$y = \cos^{4} (x) - \sin^{4} (x)$
39640	Graph	x<=1 and x>=4	$x \leq 1$ and $x \geq 4$
39641	Evaluate from the Right	limit as x approaches 0 of square root of x	$lim_{x \to 0} \sqrt{x}$
39642	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (3,3) and has a slope of 0 ?	What is the equation of the line that passes through the point $(3, 3)$ and has a slope of $0$ ?
39643	Find the Slope	(8,8) and (1,2)	$(8, 8)$ and $(1, 2)$
39644	Find the x and y Intercepts	f(x) = fourth root of 3x^2+1	$f (x) = \sqrt[4]{3 x^{2} + 1}$
39645	Multiply	3xy(4x^2y+2xy^2-7xy+4)	$3 x y (4 x^{2} y + 2 x y^{2} - 7 x y + 4)$
39646	Solve for A in Degrees	5cos(A)+8=3cos(A)+6	$5 \cos (A) + 8 = 3 \cos (A) + 6$
39647	Find the Asymptotes	f(x)=(6-5x^3)/(3x^3-8x-5)	$f (x) = \frac{6 - 5 x^{3}}{3 x^{3} - 8 x - 5}$
39648	Find the Derivative - d/dx	2x square root of x+1	$2 x \sqrt{x + 1}$
39649	Subtract	(-7x^2-10x-6)+(-3x^2+x)	$(- 7 x^{2} - 10 x - 6) + (- 3 x^{2} + x)$
39650	Multiply	(3x)/(x-2)*(x^2-4)/(x^2+3x+2)	$\frac{3 x}{x - 2} \cdot \frac{x^{2} - 4}{x^{2} + 3 x + 2}$
39651	Find the Domain and Range	(x^2-4)/(x+4)+2	$\frac{x^{2} - 4}{x + 4} + 2$
39652	Multiply	(x+1)^3*(x+1)^4	${(x + 1)}^{3} \cdot {(x + 1)}^{4}$
39653	Multiply	2*( square root of 3)/2	$2 \cdot \frac{\sqrt{3}}{2}$
39654	Write in Slope-Intercept Form	(2,-2) , y=-x-2	$(2, - 2)$ , $y = - x - 2$
39655	Solve for θ	-1+3sin(theta)=-1+4sin(theta)	$- 1 + 3 \sin (θ) = - 1 + 4 \sin (θ)$
39656	Find dy/dx	-x^2-y+5y^2=-5	$- x^{2} - y + 5 y^{2} = - 5$
39657	Simplify	x(x+1)-x^2-x+6	$x (x + 1) - x^{2} - x + 6$
39658	Find the LCD	6/(3x+5) and 5/(4x)	$\frac{6}{3 x + 5}$ and $\frac{5}{4 x}$
39659	Simplify	(t^4-4t^2+9)+(-t^3+3t)	$(t^{4} - 4 t^{2} + 9) + (- t^{3} + 3 t)$
39660	Evaluate	2(x+5)=2x+5	$2 (x + 5) = 2 x + 5$
39661	Divide	(x^4+7x^3+17x^2+20x)÷(x^2+4)	$(x^{4} + 7 x^{3} + 17 x^{2} + 20 x) \div (x^{2} + 4)$
39662	Simplify	square root of 2x-12+6	$\sqrt{2 x - 12} + 6$
39663	Simplify	(-1+ square root of 3)/(1+ square root of 3)	$\frac{- 1 + \sqrt{3}}{1 + \sqrt{3}}$
39664	Evaluate the Limit	limit as x approaches 4 of (1+ cube root of x)(2-x^2+3x^3)	$lim_{x \to 4} (1 + \sqrt[3]{x}) (2 - x^{2} + 3 x^{3})$
39665	Rationalize the Denominator	((6+ square root of 3)(6- square root of 3))/( square root of 33)	$\frac{(6 + \sqrt{3}) (6 - \sqrt{3})}{\sqrt{33}}$
39666	Simplify	6a^3+2a^2-8a-9-8a^3-a^2-6a+1	$6 a^{3} + 2 a^{2} - 8 a - 9 - 8 a^{3} - a^{2} - 6 a + 1$
39667	Simplify	square root of 5* square root of 5* square root of 2* square root of 2	$\sqrt{5} \cdot \sqrt{5} \cdot \sqrt{2} \cdot \sqrt{2}$
39668	Evaluate	(104)/(10^-14^2)	$\frac{10 \cdot 4}{10^{- 1} \cdot 4^{2}}$
39669	Evaluate the Integral	integral from 0 to a of 6x square root of a^2-x^2 with respect to x	$\int_{0}^{a} 6 x \sqrt{a^{2} - x^{2}} d x$
39670	Divide	(125x^8y^6)/(125xy^5)	$\frac{125 x^{8} y^{6}}{125 x y^{5}}$
39671	Solve the Inequality for x	-1/3x-9>1.5-4/5x	$- \frac{1}{3} x - 9 > 1.5 - \frac{4}{5} x$
39672	Find the Derivative - d/dx	(e^x-1)^2	${(e^{x} - 1)}^{2}$
39673	Solve the Absolute Value Inequality for y	\|y-9\|=6	$\| y - 9 \| = 6$
39674	Evaluate	(x^(3/2))^2	${(x^{\frac{3}{2}})}^{2}$
39675	Evaluate the Function	10^x=100 , 0	$10^{x} = 100$ , $0$
39676	Find Amplitude, Period, and Phase Shift	f(x)=-1/2cos(4(x+pi/4))+1	$f (x) = - \frac{1}{2} \cos (4 (x + \frac{π}{4})) + 1$
39677	Solve for m	m+7+(m^2-6m-16)/m=(8m-16)/m	$m + 7 + \frac{m^{2} - 6 m - 16}{m} = \frac{8 m - 16}{m}$
39678	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3-17x^2-13x-2 is divided by 4x+1	Use the long division method to find the result when $12 x^{3} - 17 x^{2} - 13 x - 2$ is divided by $4 x + 1$
39679	Graph	f(x)=(-4x+12)/(x^2-3x)	$f (x) = \frac{- 4 x + 12}{x^{2} - 3 x}$
39680	Find the Derivative - d/dx	(2sin(x))/(sec(x))	$\frac{2 \sin (x)}{\sec (x)}$
39681	Simplify	(4xy^2z)(-3x^3yz^2)	$(4 x y^{2} z) (- 3 x^{3} y z^{2})$
39682	Find the Domain	f(x)=(5x)/( square root of 3x^2-12)	$f (x) = \frac{5 x}{\sqrt{3 x^{2} - 12}}$
39683	Solve for w	18-2w=4w	$18 - 2 w = 4 w$
39684	Find the Exact Value	cos(240/2)	$\cos (\frac{240}{2})$
39685	Solve for y	d^2y=0	$d^{2} y = 0$
39686	Find the Exact Value	sin(150)^2	$\sin^{2} (150)$
39687	Simplify	2y+8(y+1)+5(x+5)	$2 y + 8 (y + 1) + 5 (x + 5)$
39688	Graph	F(x)=x^3+2x^2+x	$F (x) = x^{3} + 2 x^{2} + x$
39689	Find All Complex Solutions	-4(x+1)+6x=2(x+2)-8	$- 4 (x + 1) + 6 x = 2 (x + 2) - 8$
39690	Find the Asymptotes	f(x)=(5x-4x^3-2)/(3x^3-x^2-5)	$f (x) = \frac{5 x - 4 x^{3} - 2}{3 x^{3} - x^{2} - 5}$
39691	Simplify	9p^12q^7-2p^5q^6*4p^7q	$9 p^{12} q^{7} - 2 p^{5} q^{6} \cdot 4 p^{7} q$
39692	Find the x and y Intercepts	(x^2+2x)/(-4x+8)	$\frac{x^{2} + 2 x}{- 4 x + 8}$
39693	Solve for n	-16/9=-4/3(5/3+n)	$- \frac{16}{9} = - \frac{4}{3} (\frac{5}{3} + n)$
39694	Simplify	((x-5)/6)(18/(x^2-10x+25))	$(\frac{x - 5}{6}) (\frac{18}{x^{2} - 10 x + 25})$
39695	Simplify	(-ab)^-1	${(- a b)}^{- 1}$
39696	Solve for x	-1/((x-1)^2)=0	$- \frac{1}{{(x - 1)}^{2}} = 0$
39697	Graph	x^2=e^(x-y)	$x^{2} = e^{x - y}$
39698	Find the Degree	10b^2+(b^3)/6+b^5	$10 b^{2} + \frac{b^{3}}{6} + b^{5}$
39699	Subtract	-10x^2-x+6 and 10x^2-5	$- 10 x^{2} - x + 6$ and $10 x^{2} - 5$
39700	Solve for y	3y^4-6y^3=-3y^2	$3 y^{4} - 6 y^{3} = - 3 y^{2}$