Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
45601	Verify the Identity	cot(theta)+tan(theta)=(csc(theta))/(cos(theta))	$\cot (θ) + \tan (θ) = \frac{\csc (θ)}{\cos (θ)}$
45602	Convert to Polar	(0,-(7pi)/6)	$(0, - \frac{7 π}{6})$
45603	Find the Antiderivative	1/(x square root of natural log of x+1)	$\frac{1}{x \sqrt{\ln (x) + 1}}$
45604	Find the Inverse	What is the inverse of f(x)=x^2-6x+9	What is the inverse of $f (x) = x^{2} - 6 x + 9$
45605	Find the Maximum/Minimum Value	f(x)=cos(3x)	$f (x) = \cos (3 x)$
45606	Simplify	(1/7)^(x-2)-(1/7)^x	${(\frac{1}{7})}^{x - 2} - {(\frac{1}{7})}^{x}$
45607	Find the Derivative - d/dx	x-xsin(x)	$x - x \sin (x)$
45608	Simplify the Radical Expression	square root of 63- square root of 700- square root of 112	$\sqrt{63} - \sqrt{700} - \sqrt{112}$
45609	Solve for x	14+3x<=23	$14 + 3 x \leq 23$
45610	Simplify	fourth root of 12x^0	$\sqrt[4]{12 x^{0}}$
45611	Multiply	(9- square root of 8)(9+ square root of 8)	$(9 - \sqrt{8}) (9 + \sqrt{8})$
45612	Solve the System of Equations	-2x+2y=12 and -2x+8y=-12	$- 2 x + 2 y = 12$ and $- 2 x + 8 y = - 12$
45613	Simplify	(w^2+5)(w^4-5w^2+25)	$(w^{2} + 5) (w^{4} - 5 w^{2} + 25)$
45614	Find All Complex Solutions	2x+3y=10	$2 x + 3 y = 10$
45615	Divide	((x^2-2x-3)/(x^3))÷((x^2-6x-7)/x)	$\frac{x^{2} - 2 x - 3}{x^{3}} \div \frac{x^{2} - 6 x - 7}{x}$
45616	Divide	(1+i)/(1-i)	$\frac{1 + i}{1 - i}$
45617	Find dy/dx	y=-(-2x^2+5x+3)^4	$y = - {(- 2 x^{2} + 5 x + 3)}^{4}$
45618	Solve the Absolute Value Inequality for w	\|w\|=0	$\| w \| = 0$
45619	Solve for x	(x-3)(x+4)=x^2+4	$(x - 3) (x + 4) = x^{2} + 4$
45620	Evaluate	cos((-3pi)/2)	$\cos (\frac{- 3 π}{2})$
45621	Solve for y	y=2(4)^-2	$y = 2 {(4)}^{- 2}$
45622	Find the Roots (Zeros)	square root of x+6+x=6	$\sqrt{x + 6} + x = 6$
45623	Divide	-6÷(8/9)	$- 6 \div \frac{8}{9}$
45624	Find the Domain	1/(1/( square root of x))	$\frac{1}{\frac{1}{\sqrt{x}}}$
45625	Find the Derivative - d/dx	y=(e^x)/(1+e^x)	$y = \frac{e^{x}}{1 + e^{x}}$
45626	Find the Maximum/Minimum Value	y=x^2e^(-x)	$y = x^{2} e^{- x}$
45627	Evaluate	y=20*0.5^3	$y = 20 \cdot {0.5}^{3}$
45628	Factor	16x^2-y^2-2yz-z^2	$16 x^{2} - y^{2} - 2 y z - z^{2}$
45629	Find the Product	-4b(1-9b-2b^2)	$- 4 b (1 - 9 b - 2 b^{2})$
45630	Simplify	((x+8)/(x-9)*(x^2+10x+16)/(x-8))÷((x^2+10x+16)/(4x^2-68x+288))	$\frac{x + 8}{x - 9} \cdot \frac{x^{2} + 10 x + 16}{x - 8} \div \frac{x^{2} + 10 x + 16}{4 x^{2} - 68 x + 288}$
45631	Simplify	1*10^-6	$1 \cdot 10^{- 6}$
45632	Divide Using Long Polynomial Division	(3x^5+x^4-4x^2)/x	$\frac{3 x^{5} + x^{4} - 4 x^{2}}{x}$
45633	Evaluate the Integral	integral of (x) with respect to x	$\int (x) d x$
45634	Evaluate the Limit	limit as x approaches 2 of 1=(x^2-4)/(x-2)	$lim_{x \to 2} 1 = \frac{x^{2} - 4}{x - 2}$
45635	Convert to Rectangular Coordinates	(0,-(7pi)/6)	$(0, - \frac{7 π}{6})$
45636	Simplify	sec(x)-sin(x)^2sec(x)	$\sec (x) - \sin^{2} (x) \sec (x)$
45637	Find the Exact Value	tan(660 degrees )	$\tan (660 °)$
45638	Divide	(-5/12)÷(25/18)	$- \frac{5}{12} \div \frac{25}{18}$
45639	Solve for a	a^3-x^3=0	$a^{3} - x^{3} = 0$
45640	Find the Complex Conjugate	-7/2+1/2i	$- \frac{7}{2} + \frac{1}{2} i$
45641	Simplify	Simplify - square root of 36x^8	Simplify $- \sqrt{36 x^{8}}$
45642	Solve for t	cube root of (2t)/3=5	$\sqrt[3]{\frac{2 t}{3}} = 5$
45643	Find the Domain and Range	2+ square root of x-1	$2 + \sqrt{x - 1}$
45644	Evaluate the Function	F(3)=(1/6)^x	$F (3) = {(\frac{1}{6})}^{x}$
45645	Solve the Rational Equation for x	4/(x+1)-6=-(4x)/(x+1)	$\frac{4}{x + 1} - 6 = - \frac{4 x}{x + 1}$
45646	Simplify	sin(-t)-sin(t)	$\sin (- t) - \sin (t)$
45647	Simplify	(x^2y^6*xy^-4)^3	${(x^{2} y^{6} \cdot x y^{- 4})}^{3}$
45648	Find the GCF	14ab and 28ab	$14 a b$ and $28 a b$
45649	Solve the Inequality for x	-3(2x+1)>-2(x+4)	$- 3 (2 x + 1) > - 2 (x + 4)$
45650	Simplify	cube root of -27/8	$\sqrt[3]{\frac{- 27}{8}}$
45651	Simplify	(8)^2(3)^0	${(8)}^{2} {(3)}^{0}$
45652	Evaluate	(7*2^3)÷4	$7 \cdot 2^{3} \div 4$
45653	Write the Fraction in Simplest Form	(5y^4n^-4)/((3n^-5)^-3)	$\frac{5 y^{4} n^{- 4}}{{(3 n^{- 5})}^{- 3}}$
45654	Solve by Factoring	124=x^2+3	$124 = x^{2} + 3$
45655	Evaluate	(- square root of 2)/2*2/( square root of 2)	$\frac{- \sqrt{2}}{2} \cdot \frac{2}{\sqrt{2}}$
45656	Solve by Graphing	x+y=1 y=-1/6x-4	$x + y = 1$ $y = - \frac{1}{6} x - 4$
45657	Solve the System of Equations	1/2x+y=-4 y=2x+16	$\frac{1}{2} x + y = - 4$ $y = 2 x + 16$
45658	Solve for y	4x^2+6x-2y=10	$4 x^{2} + 6 x - 2 y = 10$
45659	Find the Exact Value	4.65910^4-2.1410^4	$4.659 \cdot 10^{4} - 2.14 \cdot 10^{4}$
45660	Evaluate Using the Given Value	(yx)÷2 ; use x=7 ; and y=2	$y x \div 2$ ; use $x = 7$ ; and $y = 2$
45661	Solve the Rational Equation for x	square root of x-3 = square root of x-9	$\sqrt{x} - 3 = \sqrt{x - 9}$
45662	Evaluate the Integral	integral from 0 to 1 of (1-8x^3+16x^7) with respect to x	$\int_{0}^{1} (1 - 8 x^{3} + 16 x^{7}) d x$
45663	Evaluate the Limit	limit as x approaches 0 of ((4x+1)^9-1)/(3x)	$lim_{x \to 0} \frac{{(4 x + 1)}^{9} - 1}{3 x}$
45664	Find dy/dx	y=1/(2^(4x))	$y = \frac{1}{2^{4 x}}$
45665	Write in Standard Form	y=(3x-6)/2	$y = \frac{3 x - 6}{2}$
45666	Write in Exponential Form	fourth root of 3^3* sixth root of 3^5	$\sqrt[4]{3^{3}} \cdot \sqrt[6]{3^{5}}$
45667	Solve the Rational Equation for k	fourth root of 8k+12-9=-11	$\sqrt[4]{8 k + 12} - 9 = - 11$
45668	Divide Using Long Polynomial Division	Use the long division method to find the result when x^3-10x^2+14x+21 is divided by x-3	Use the long division method to find the result when $x^{3} - 10 x^{2} + 14 x + 21$ is divided by $x - 3$
45669	Find the Inverse	x^(1/2)-7	$x^{\frac{1}{2}} - 7$
45670	Multiply	9/7*(-2/5)	$\frac{9}{7} \cdot (- \frac{2}{5})$
45671	Graph	y=x^2+\|x\|	$y = x^{2} + \| x \|$
45672	Solve the Rational Equation for x	x/(x-2)+1/(x-4)=2/(x^2-6x+8)	$\frac{x}{x - 2} + \frac{1}{x - 4} = \frac{2}{x^{2} - 6 x + 8}$
45673	Simplify	(12x^2y^3)/(x^2y)	$\frac{12 x^{2} y^{3}}{x^{2} y}$
45674	Solve for x	2x+4+3x-1=7x-2-x	$2 x + 4 + 3 x - 1 = 7 x - 2 - x$
45675	Evaluate	120/360(2pi*15)	$\frac{120}{360} (2 π \cdot 15)$
45676	Evaluate	(2pi(6.68*10^6))/7720	$\frac{2 π (6.68 \cdot 10^{6})}{7720}$
45677	Solve for A	S_t=A/(5T)+0.05d	$S_{t} = \frac{A}{5 T} + 0.05 d$
45678	Graph	\|x\|+x	$\| x \| + x$
45679	Determine if Perpendicular	x=4 x=-6	$x = 4$ $x = - 6$
45680	Solve for A	M=-0.711A+206.6	$M = - 0.711 A + 206.6$
45681	Solve for s	e=2p+4s	$e = 2 p + 4 s$
45682	Simplify the Radical Expression	square root of square root of square root of 625	$\sqrt{\sqrt{\sqrt{625}}}$
45683	Simplify	(2 square root of 5)/-4	$\frac{2 \sqrt{5}}{- 4}$
45684	Evaluate	x/3>=-33	$\frac{x}{3} \geq - 33$
45685	Find the Derivative - d/dx	log of 1+x^2	$\log (1 + x^{2})$
45686	Solve for x	12x-7+5x=8(2x+1)+x-8	$12 x - 7 + 5 x = 8 (2 x + 1) + x - 8$
45687	Simplify	(x-1)(x)	$(x - 1) (x)$
45688	Solve by Graphing	x+y=2 y=-1/5x-2	$x + y = 2$ $y = - \frac{1}{5} x - 2$
45689	Subtract	(x^4-1)-(-2x^3-9x^2+4-11x^4-6x)	$(x^{4} - 1) - (- 2 x^{3} - 9 x^{2} + 4 - 11 x^{4} - 6 x)$
45690	Simplify	((x+11)/(x+2)+11)/((x+11)/(x+2)+2)	$\frac{\frac{x + 11}{x + 2} + 11}{\frac{x + 11}{x + 2} + 2}$
45691	Simplify	(6x)/(x^2-9)-x/(x-3)	$\frac{6 x}{x^{2} - 9} - \frac{x}{x - 3}$
45692	Evaluate	square root of -2^2+-2^2	$\sqrt{- 2^{2} + - 2^{2}}$
45693	Simplify	3x(4x-9y)(4x+9y)	$3 x (4 x - 9 y) (4 x + 9 y)$
45694	Evaluate	pi square root of 4	$π \sqrt{4}$
45695	Solve the Function Operation	f(x)=16x+12 g(x)=4x+3 Find: (f/g)(x)	$f (x) = 16 x + 12$ $g (x) = 4 x + 3$ Find: $(\frac{f}{g}) (x)$
45696	Subtract	square root of 28/(x^2)- square root of 7/(x^2)	$\sqrt{\frac{28}{x^{2}}} - \sqrt{\frac{7}{x^{2}}}$
45697	Solve for b	3a=-b+c	$3 a = - b + c$
45698	Graph	x<-2 or x>5	$x < - 2$ or $x > 5$
45699	Simplify	((16x^13)/(y^15))^(1/3)	${(\frac{16 x^{13}}{y^{15}})}^{\frac{1}{3}}$
45700	Find the x and y Intercepts	(x-2)	$(x - 2)$