Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
25601	Find the Domain and Range	y = square root of 1/2x	$y = \sqrt{\frac{1}{2}} x$
25602	Evaluate	4^x<=36	$4^{x} \leq 36$
25603	Simplify	(c^3)^(1/9)(d^3)^0	${(c^{3})}^{\frac{1}{9}} {(d^{3})}^{0}$
25604	Find the Maximum/Minimum Value	y=x^3-9x	$y = x^{3} - 9 x$
25605	Evaluate the Integral	integral from 0 to a of 9x square root of a^2-x^2 with respect to x	$\int_{0}^{a} 9 x \sqrt{a^{2} - x^{2}} d x$
25606	Simplify	((x-3)(x+6))/((x^2-7x+12)(x^2-36))	$\frac{(x - 3) (x + 6)}{(x^{2} - 7 x + 12) (x^{2} - 36)}$
25607	Find dy/dx	y=2/( sixth root of 5x^2-1)	$y = \frac{2}{\sqrt[6]{5 x^{2} - 1}}$
25608	Solve for E	E = square root of 16^( square root of 2^( square root of 16))	$E = \sqrt{16^{\sqrt{2^{\sqrt{16}}}}}$
25609	Solve for c	d=abc for c	$d = a b c$ for $c$
25610	Add	(-x^2+5x+2)+(6x^2+x)	$(- x^{2} + 5 x + 2) + (6 x^{2} + x)$
25611	Solve the Inequality for x	x+1>=0	$x + 1 \geq 0$
25612	Solve for x	1/6(2x-12x)=30	$\frac{1}{6} (2 x - 12 x) = 30$
25613	Factor	factor 2x^2+7x+3	factor $2 x^{2} + 7 x + 3$
25614	Evaluate	natural log of x=-3	$\ln (x) = - 3$
25615	Solve for x	x/8-1/2=1/2	$\frac{x}{8} - \frac{1}{2} = \frac{1}{2}$
25616	Simplify	( square root of x-x^2)^2	${(\sqrt{x} - x^{2})}^{2}$
25617	Evaluate	log base 7 of 25* log base 0.2 of 49	$\log_{7} (25) \cdot \log_{0.2} (49)$
25618	Find the Product	(p+q)(4p^2-p-8q^2-q)	$(p + q) (4 p^{2} - p - 8 q^{2} - q)$
25619	Find the Derivative - d/dx	-2x^4 square root of 4x+5	$- 2 x^{4} \sqrt{4 x + 5}$
25620	Integrate Using u-Substitution	integral from 1 to 4 of (e^( square root of x))/( square root of x) with respect to x	$\int_{1}^{4} \frac{e^{\sqrt{x}}}{\sqrt{x}} d x$
25621	Simplify	(4x+2y-6z)+(5y-2z+7x)+(-9z-2x-3y)	$(4 x + 2 y - 6 z) + (5 y - 2 z + 7 x) + (- 9 z - 2 x - 3 y)$
25622	Simplify	(6n^-5)(3n^-3)^2	$(6 n^{- 5}) {(3 n^{- 3})}^{2}$
25623	Find the Slope	Find the slope of the line that passes through the points (2,4) and (6,12)	Find the slope of the line that passes through the points $(2, 4)$ and $(6, 12)$
25624	Simplify the Radical Expression	fourth root of 10* fourth root of 10	$\sqrt[4]{10} \cdot \sqrt[4]{10}$
25625	Solve for k	4/k+3=8/14	$\frac{4}{k} + 3 = \frac{8}{14}$
25626	Expand the Logarithmic Expression	natural log of (4xy^2)/15	$\ln (\frac{4 x y^{2}}{15})$
25627	Graph	y<-x^2+x+6	$y < - x^{2} + x + 6$
25628	Find the Derivative - d/dx	x+3 natural log of 5x-4x^2+e^(2x)-pi	$x + 3 \ln (5 x) - 4 x^{2} + e^{2 x} - π$
25629	Find the Other Trig Values in Quadrant II	tan(theta)=0	$\tan (θ) = 0$
25630	Solve for x	5x^2+43=(x-1)(5x+6)	$5 x^{2} + 43 = (x - 1) (5 x + 6)$
25631	Find the 5th Term	5/6 , 5/9 , 10/27 , 20/81	$\frac{5}{6}$ , $\frac{5}{9}$ , $\frac{10}{27}$ , $\frac{20}{81}$
25632	Simplify	((4x)/(x^2-1)*(x+3)/(x^2+2x-3))÷((2x)/(1-x^2))	$\frac{4 x}{x^{2} - 1} \cdot \frac{x + 3}{x^{2} + 2 x - 3} \div \frac{2 x}{1 - x^{2}}$
25633	Simplify	(x+4)/(3x)*(4x^2)/(x^2+9x+20)	$\frac{x + 4}{3 x} \cdot \frac{4 x^{2}}{x^{2} + 9 x + 20}$
25634	Find the Derivative - d/dx	d/(dx)(1/3 square root of (x^2+y^2)^3)	$\frac{d}{d x} (\frac{1}{3} \sqrt{{(x^{2} + y^{2})}^{3}})$
25635	Simplify	(x^2-3x)/(x^2+5x+6)	$\frac{x^{2} - 3 x}{x^{2} + 5 x + 6}$
25636	Find the x and y Intercepts	f(x)=(x^2+25)(6x+1)^2	$f (x) = (x^{2} + 25) {(6 x + 1)}^{2}$
25637	Find the Domain and Range	-1/3*6^x+5	$- \frac{1}{3} \cdot 6^{x} + 5$
25638	Solve the Function Operation	Given that f(x)=x^2-13x+30 and g(x)=x-3 ; find f(x)*g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 13 x + 30$ and $g (x) = x - 3$ ; find $f (x) \cdot g (x)$ and express the result in standard form.
25639	Find the Derivative of the Integral	integral of (2x^3+2x)u(x) with respect to x=x^6+2x^4+x^2+C	$\int (2 x^{3} + 2 x) u (x) d x = x^{6} + 2 x^{4} + x^{2} + C$
25640	Find dx/dy	e^(xy)=y-x	$e^{x y} = y - x$
25641	Add	(3x+3)/(3x+2)+(4x-2)/(3x+2)	$\frac{3 x + 3}{3 x + 2} + \frac{4 x - 2}{3 x + 2}$
25642	Divide	( square root of 3)÷( square root of 7)	$\sqrt{3} \div \sqrt{7}$
25643	Solve for r	r-s-11=P	$r - s - 11 = P$
25644	Solve the Inequality for x	-8<=-(x-6/5)-6	$- 8 \leq - (x - \frac{6}{5}) - 6$
25645	Graph	2x+y<0 y>=-4-2x	$2 x + y < 0$ $y \geq - 4 - 2 x$
25646	Solve for x	(3x)/(x+5)-3/(x-2)=-21/(x^2+3x-10)	$\frac{3 x}{x + 5} - \frac{3}{x - 2} = \frac{- 21}{x^{2} + 3 x - 10}$
25647	Solve the Function Operation	f(x)=9(x+1) ; find f^-1(x)	$f (x) = 9 (x + 1)$ ; find $f^{- 1} (x)$
25648	Solve for x	cube root of x^2+2x-12 = cube root of -2x+9	$\sqrt[3]{x^{2} + 2 x - 12} = \sqrt[3]{- 2 x + 9}$
25649	Solve for x	(1/27)^(x+4)=3^4*3^(x-9)	${(\frac{1}{27})}^{x + 4} = 3^{4} \cdot 3^{x - 9}$
25650	Graph	3x-2y<=-6 y>=5	$3 x - 2 y \leq - 6$ $y \geq 5$
25651	Find the Product	(v-3)(v^2+8v)	$(v - 3) (v^{2} + 8 v)$
25652	Evaluate the Function	f(8) = cube root of 8-8	$f (8) = \sqrt[3]{8 - 8}$
25653	Simplify	((x^2y)^(-3/2))/((x^3y^4)^(-2/3))	$\frac{{(x^{2} y)}^{\frac{- 3}{2}}}{{(x^{3} y^{4})}^{\frac{- 2}{3}}}$
25654	Simplify	(x^3y^4z^5)^(4/5)	${(x^{3} y^{4} z^{5})}^{\frac{4}{5}}$
25655	Subtract	(4x)/3-8/5	$\frac{4 x}{3} - \frac{8}{5}$
25656	Find the Domain of the Composition f(g(x))	f(x)=2x g(x)=x+5	$f (x) = 2 x$ $g (x) = x + 5$
25657	Evaluate	(x^7x^-3y)/(y^-2)	$\frac{x^{7} x^{- 3} y}{y^{- 2}}$
25658	Solve for y	y=1/2(-4)^2	$y = \frac{1}{2} {(- 4)}^{2}$
25659	Solve the Inequality for d	-12-d>-12+4d	$- 12 - d > - 12 + 4 d$
25660	Solve the Inequality for h	-12>-9h	$- 12 > - 9 h$
25661	Find the Domain	(a^2-25)/(a+3)*1/(a^2+5a)-(a+5)/(a^2-3a)	$\frac{a^{2} - 25}{a + 3} \cdot \frac{1}{a^{2} + 5 a} - \frac{a + 5}{a^{2} - 3 a}$
25662	Find the Magnitude	v=-4i+5j	$v = - 4 i + 5 j$
25663	Solve for b	r=(b-2)m	$r = (b - 2) m$
25664	Multiply	(-1rs^2)(3/5s^2)	$(- 1 r s^{2}) (\frac{3}{5} s^{2})$
25665	Solve for y	y=\|-9+7\|	$y = \| - 9 + 7 \|$
25666	Solve for θ	1+cos(theta)=1/2	$1 + \cos (θ) = \frac{1}{2}$
25667	Find the Inverse	f(x) = natural log of 5x-1	$f (x) = \ln (5 x - 1)$
25668	Solve for C	P=(R-C)/N	$P = \frac{R - C}{N}$
25669	Simplify	(3n^2+n)-(2n+4n^2)	$(3 n^{2} + n) - (2 n + 4 n^{2})$
25670	Solve for y	(-2)y/-2=4(-2)	$(- 2) \frac{y}{- 2} = 4 (- 2)$
25671	Solve by Factoring	64x^2=-49	$64 x^{2} = - 49$
25672	Solve by Substitution	x=11 -4x+y=-23	$x = 11$ $- 4 x + y = - 23$
25673	Simplify the Radical Expression	(25b^6)^-1.5	${(25 b^{6})}^{- 1.5}$
25674	Solve for g	T=gr+gvt	$T = g r + g v t$
25675	Find the End Behavior	f(x)=-x^5+2x^4+3x^3+2x^2-8x+9	$f (x) = - x^{5} + 2 x^{4} + 3 x^{3} + 2 x^{2} - 8 x + 9$
25676	Factor	3/2u^2v^4-5/2u^3v^5+1/2u^4v^2	$\frac{3}{2} u^{2} v^{4} - \frac{5}{2} u^{3} v^{5} + \frac{1}{2} u^{4} v^{2}$
25677	Simplify	((s^3t)/(st^4))^2	${(\frac{s^{3} t}{s t^{4}})}^{2}$
25678	Convert to Interval Notation	3x+4<-4 and -3x+1>3	$3 x + 4 < - 4$ and $- 3 x + 1 > 3$
25679	Evaluate	square root of x-3- square root of x=3	$\sqrt{x - 3} - \sqrt{x} = 3$
25680	Solve the Rational Equation for x	square root of x-3- square root of x=3	$\sqrt{x - 3} - \sqrt{x} = 3$
25681	Graph	y>3x-2 2y-x<=6	$y > 3 x - 2$ $2 y - x \leq 6$
25682	Solve for x	3(0.5x-4)=3/2x-1.2	$3 (0.5 x - 4) = \frac{3}{2} x - 1.2$
25683	Evaluate	(m^2-n)(m^2+2n^2)	$(m^{2} - n) (m^{2} + 2 n^{2})$
25684	Solve for x	2(3+x)=5x+54	$2 (3 + x) = 5 x + 54$
25685	Simplify	-1/(-1^2+1)	$\frac{- 1}{- 1^{2} + 1}$
25686	Solve for x	(x^2+4x)/(x+2)=(2x)/3	$\frac{x^{2} + 4 x}{x + 2} = \frac{2 x}{3}$
25687	Find the Absolute Max and Min over the Interval	f(x)=12x-x^3 , [0,3]	$f (x) = 12 x - x^{3}$ , $[0, 3]$
25688	Graph	f(x)>=-1/2\|x\|+5	$f (x) \geq - \frac{1}{2} \| x \| + 5$
25689	Solve for x	(12+x)/4=(-6-x)/2	$\frac{12 + x}{4} = \frac{- 6 - x}{2}$
25690	Add	(-5x-2/3)+(-4x-1/9)	$(- 5 x - \frac{2}{3}) + (- 4 x - \frac{1}{9})$
25691	Simplify the Radical Expression	(2x^2)^3	${(2 x^{2})}^{3}$
25692	Find Amplitude, Period, and Phase Shift	y=-1+3cos(3/2x)	$y = - 1 + 3 \cos (\frac{3}{2} x)$
25693	Simplify	(3 cube root of 8x^2y^7)(5 cube root of 27x^5y^5)	$(3 \sqrt[3]{8 x^{2} y^{7}}) (5 \sqrt[3]{27 x^{5} y^{5}})$
25694	Evaluate	(1-5(1/5))/24	$\frac{1 - 5 (\frac{1}{5})}{24}$
25695	Simplify	((x^-2)y^4)/(y^-5)	$\frac{(x^{- 2}) y^{4}}{y^{- 5}}$
25696	Add	9 square root of 7+2 square root of 63+4 square root of 28	$9 \sqrt{7} + 2 \sqrt{63} + 4 \sqrt{28}$
25697	Simplify	(-6hi^3j^4)(6h^2ij^3)	$(- 6 h i^{3} j^{4}) (6 h^{2} i j^{3})$
25698	Multiply	x(2x^2-8)	$x (2 x^{2} - 8)$
25699	Simplify	(m^5)^2*(m^-3)^3	${(m^{5})}^{2} \cdot {(m^{- 3})}^{3}$
25700	Solve the Inequality for p	5p>=-30	$5 p \geq - 30$