Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
45401	Find the Exact Value	sin(pi/6)cos(pi/6)-tan(pi/3)	$\sin (\frac{π}{6}) \cos (\frac{π}{6}) - \tan (\frac{π}{3})$
45402	Evaluate	( log of e)/( natural log of 10)	$\frac{\log (e)}{\ln (10)}$
45403	Solve the Rational Equation for x	fourth root of x-1=2	$\sqrt[4]{x - 1} = 2$
45404	Find the Derivative - d/dx	y=2x^(1/2)	$y = 2 x^{\frac{1}{2}}$
45405	Find Amplitude, Period, and Phase Shift	y=7/8cos((pix)/4)	$y = \frac{7}{8} \cos (\frac{π x}{4})$
45406	Find the Asymptotes	f(x)=((x+4)(x-9)(x-8))/(-6x^3+7x^2+3x+9)	$f (x) = \frac{(x + 4) (x - 9) (x - 8)}{- 6 x^{3} + 7 x^{2} + 3 x + 9}$
45407	Simplify	(7x^-1)/(y^-1)	$\frac{7 x^{- 1}}{y^{- 1}}$
45408	Find the Roots (Zeros)	2/3x^3+x^2-5x=-9	$\frac{2}{3} x^{3} + x^{2} - 5 x = - 9$
45409	Find the Roots (Zeros)	-4x^2-40x-280=0	$- 4 x^{2} - 40 x - 280 = 0$
45410	Find dy/dx	3y^3+xy-6x+3=0	$3 y^{3} + x y - 6 x + 3 = 0$
45411	Find the Length of a	tri{}{30}{6}{60}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 6 \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
45412	Write in Standard Form	4(x^2-2x)-2(x^2-3)	$4 (x^{2} - 2 x) - 2 (x^{2} - 3)$
45413	Rationalize the Denominator	(x+2 square root of y)/(x-2 square root of y)	$\frac{x + 2 \sqrt{y}}{x - 2 \sqrt{y}}$
45414	Solve for w	square root of w=-8	$\sqrt{w} = - 8$
45415	Solve for x in Radians	sin(2x) = square root of 2sin(x)	$\sin (2 x) = \sqrt{2} \sin (x)$
45416	Solve for θ in Radians	sin(theta)^2+cos(theta)^2=1	$\sin^{2} (θ) + \cos^{2} (θ) = 1$
45417	Factor	x(y-3)+n(3-y)	$x (y - 3) + n (3 - y)$
45418	Find the Foci	5x^2-4y^2+80=0	$5 x^{2} - 4 y^{2} + 80 = 0$
45419	Evaluate	arctan(1)-arctan(-1)	$\arctan (1) - \arctan (- 1)$
45420	Graph	-x>=y-3	$- x \geq y - 3$
45421	Simplify the Radical Expression	cube root of 25* cube root of 5	$\sqrt[3]{25} \cdot \sqrt[3]{5}$
45422	Simplify	(x-10)/(x-4)-(x+2)/(4-x)	$\frac{x - 10}{x - 4} - \frac{x + 2}{4 - x}$
45423	Integrate Using u-Substitution	integral from 0 to 1 of x^4e^(2x^5-7) with respect to x	$\int_{0}^{1} x^{4} e^{2 x^{5} - 7} d x$
45424	Find the Maximum/Minimum Value	F(x)=x^3+3x^2-9x-12y	$F (x) = x^{3} + 3 x^{2} - 9 x - 12 y$
45425	Evaluate	(5x^2y^5z^7)^0	${(5 x^{2} y^{5} z^{7})}^{0}$
45426	Find the Exact Value	cot(-945)	$\cot (- 945)$
45427	Solve the Absolute Value Inequality for m	(\|m\|)/5=3	$\frac{\| m \|}{5} = 3$
45428	Simplify	(36x^3y)/(9x)	$\frac{36 x^{3} y}{9 x}$
45429	Graph	y=-4sin(x+3pi)	$y = - 4 \sin (x + 3 π)$
45430	Solve for x	y=(x-2)/(3x-1)	$y = \frac{x - 2}{3 x - 1}$
45431	Simplify the Radical Expression	2 square root of st^2+3 square root of s^2+5 square root of s^3t^4	$2 \sqrt{s t^{2}} + 3 \sqrt{s^{2}} + 5 \sqrt{s^{3} t^{4}}$
45432	Solve by Substitution	x-2y=2 and y=-2x+5	$x - 2 y = 2$ and $y = - 2 x + 5$
45433	Find the Derivative - d/dx	(1+ natural log of x)/x	$\frac{1 + \ln (x)}{x}$
45434	Simplify	(4/(x^2-9)+2/(x-3))/(1/(x+3)+1/(x-3))	$\frac{\frac{4}{x^{2} - 9} + \frac{2}{x - 3}}{\frac{1}{x + 3} + \frac{1}{x - 3}}$
45435	Evaluate	square root of -16/(-1-3)	$\sqrt{\frac{- 16}{- 1 - 3}}$
45436	Find Where Increasing/Decreasing	y=xe^x	$y = x e^{x}$
45437	Find the Derivative - d/dx	y=(4x+2)/(5x)	$y = \frac{(4 x + 2)}{5 x}$
45438	Find the Tangent of the Angle	(2pi)/3	$\frac{2 π}{3}$
45439	Find the Relative Extrema	f(x)=6x-x^2	$f (x) = 6 x - x^{2}$
45440	Simplify	(6m^0-2n^0)/(2m^0-6n^0)	$\frac{6 m^{0} - 2 n^{0}}{2 m^{0} - 6 n^{0}}$
45441	Describe the Transformation	y = cube root of 3(x-4)	$y = \sqrt[3]{3 (x - 4)}$
45442	Solve by Factoring	(5x+4)(x+1)=2	$(5 x + 4) (x + 1) = 2$
45443	Divide Using Synthetic Division	(5x^4-23x^3+24x^2-7)÷(x-3)	$(5 x^{4} - 23 x^{3} + 24 x^{2} - 7) \div (x - 3)$
45444	Solve Using the Quadratic Formula	1/2w^2-1/4=3/16w	$\frac{1}{2} w^{2} - \frac{1}{4} = \frac{3}{16} w$
45445	Write in Standard Form	(2w+5)(3w-4)=6	$(2 w + 5) (3 w - 4) = 6$
45446	Solve for h	5/6h+8=-2	$\frac{5}{6} h + 8 = - 2$
45447	Find the Asymptotes	F(x)=-1/(x^2+2x+1)	$F (x) = \frac{- 1}{x^{2} + 2 x + 1}$
45448	Simplify	((2f^2g^3)/(3(fg)))^4	${(\frac{2 f^{2} g^{3}}{3 f g})}^{4}$
45449	Find the Excluded Values	1/(x+1)+5=11/(x+1)	$\frac{1}{x + 1} + 5 = \frac{11}{x + 1}$
45450	Determine if True	tan(x)sin(x)+cos(x)=sec(x)	$\tan (x) \sin (x) + \cos (x) = \sec (x)$
45451	Simplify	(x^2-xy)/y*(y^2)/x	$\frac{x^{2} - x y}{y} \cdot \frac{y^{2}}{x}$
45452	Solve the Inequality for x	2\|x+2\|+3>=11	$2 \| x + 2 \| + 3 \geq 11$
45453	Verify the Identity	sin(x)=2sin(x/2)cos(x/2)	$\sin (x) = 2 \sin (\frac{x}{2}) \cos (\frac{x}{2})$
45454	Graph	x>-3y+9	$x > - 3 y + 9$
45455	Multiply	((x-1)^2)/(x^2-x-12)*(x^2+x-6)/(x^2-6x+5)	$\frac{{(x - 1)}^{2}}{x^{2} - x - 12} \cdot \frac{x^{2} + x - 6}{x^{2} - 6 x + 5}$
45456	Multiply	5 square root of 3* square root of 2	$5 \sqrt{3} \cdot \sqrt{2}$
45457	Find the GCF	8x^4y^4-12x^3z^2	$8 x^{4} y^{4} - 12 x^{3} z^{2}$
45458	Evaluate	(-i)^3	${(- i)}^{3}$
45459	Solve the System of Equations	-8x+7y-8z=-9 -8x+7y-10z=-7 x-2y+z=9	$- 8 x + 7 y - 8 z = - 9$ $- 8 x + 7 y - 10 z = - 7$ $x - 2 y + z = 9$
45460	Find the Exact Value	sin(-60)cos(40)+cos(-60)sin(40)	$\sin (- 60) \cos (40) + \cos (- 60) \sin (40)$
45461	Evaluate	-5/6+1/2(-2/5)	$- \frac{5}{6} + \frac{1}{2} (- \frac{2}{5})$
45462	Simplify	4/5-2/7 square root of -98	$\frac{4}{5} - \frac{2}{7} \sqrt{- 98}$
45463	Simplify the Radical Expression	fourth root of 2* fourth root of 8	$\sqrt[4]{2} \cdot \sqrt[4]{8}$
45464	Solve the Inequality for x	(4x-2)/(x+1)>=-2	$\frac{4 x - 2}{x + 1} \geq - 2$
45465	Find the Cosine of the Angle	-(2pi)/3	$- \frac{2 π}{3}$
45466	Find Amplitude, Period, and Phase Shift	y=1/4sin(x/6)	$y = \frac{1}{4} \sin (\frac{x}{6})$
45467	Find the Exact Value	(cos(arcsec(3)+arctan(2)))/(cos(arctan(2)))	$\frac{\cos (arcsec (3) + \arctan (2))}{\cos (\arctan (2))}$
45468	Plot	sin(theta)<0 , cos(theta)<0	$\sin (θ) < 0$ , $\cos (θ) < 0$
45469	Solve for x	5x = square root of 8+10x	$5 x = \sqrt{8 + 10 x}$
45470	Find the Domain and Range	g(x)=-2sec(2x+3)-1	$g (x) = - 2 \sec (2 x + 3) - 1$
45471	Evaluate	10x+60(10-x)=250	$10 x + 60 (10 - x) = 250$
45472	Solve for x	(5x)/(x+1)=4	$\frac{5 x}{x + 1} = 4$
45473	Evaluate	((1/64)^(1/3))^-2	${({(\frac{1}{64})}^{\frac{1}{3}})}^{- 2}$
45474	Solve the System of Inequalities	y>=3/5x-6 y<=-x+2	$y \geq \frac{3}{5} x - 6$ $y \leq - x + 2$
45475	Solve the Inequality for x	x^2<=3	$x^{2} \leq 3$
45476	Solve for x	3x^4+18=21x^2	$3 x^{4} + 18 = 21 x^{2}$
45477	Find the Domain and Range	f(x) = log base 1/2 of \|2-x\|	$f (x) = \log_{\frac{1}{2}} (\| 2 - x \|)$
45478	Solve for p	-p-13=-4/3p+2/3(5p-6)	$- p - 13 = - \frac{4}{3} p + \frac{2}{3} (5 p - 6)$
45479	Find the Inverse	g(x)=1/2 square root of x+1+4	$g (x) = \frac{1}{2} \sqrt[2]{x + 1} + 4$
45480	Solve the Inequality for x	6x^2-x-12>=-10	$6 x^{2} - x - 12 \geq - 10$
45481	Add	(t^2+3t^3-3)+(2t^2+7t-2t^3)	$(t^{2} + 3 t^{3} - 3) + (2 t^{2} + 7 t - 2 t^{3})$
45482	Solve for x	((x+5)(x-4))/((x-3)(x+7))<=0	$\frac{(x + 5) (x - 4)}{(x - 3) (x + 7)} \leq 0$
45483	Solve for u	38=-4u-2u-16	$38 = - 4 u - 2 u - 16$
45484	Simplify	((q^2+2q)/(6q))÷((q^2-4)/(3q^2))	$\frac{q^{2} + 2 q}{6 q} \div \frac{q^{2} - 4}{3 q^{2}}$
45485	Simplify	(4^2)^(1/2)(5x^2)^3	${(4^{2})}^{\frac{1}{2}} {(5 x^{2})}^{3}$
45486	Evaluate	3^24^35^0	$3^{2} \cdot 4^{3} \cdot 5^{0}$
45487	Solve for θ in Radians	sin(theta)^2-1=0	$\sin^{2} (θ) - 1 = 0$
45488	Find the Antiderivative	4 square root of x+5+3/(x^2)	$4 \sqrt{x} + 5 + \frac{3}{x^{2}}$
45489	Find the Exact Value	cos(330)^2	$\cos^{2} (330)$
45490	Find the Inverse	f(x)=(x-6)^2 , [6,infinity)	$f (x) = {(x - 6)}^{2}$ , $[6, \infty)$
45491	Write the Fraction in Simplest Form	square root of 81a^7b^12c^9	$\sqrt{81 a^{7} b^{12} c^{9}}$
45492	Solve the Absolute Value Inequality for x	-5\|x-4\|>-20	$- 5 \| x - 4 \| > - 20$
45493	Solve the System of Inequalities	3x-y>=2 3x-y<-5	$3 x - y \geq 2$ $3 x - y < - 5$
45494	Solve for b	square root of 9b+1=8	$\sqrt{9 b + 1} = 8$
45495	Simplify the Radical Expression	square root of 100+ square root of -1+ square root of 1- square root of -25	$\sqrt{100} + \sqrt{- 1} + \sqrt{1} - \sqrt{- 25}$
45496	Solve the System of Equations	y=1/4x x+4y=8	$y = \frac{1}{4} x$ $x + 4 y = 8$
45497	Find the Slope and y-intercept	y=5(3-2x)	$y = 5 (3 - 2 x)$
45498	Graph	\|8x\|>=16	$\| 8 x \| \geq 16$
45499	Find the Cotangent Given the Point	(( square root of 2)/3,( square root of 7)/3)	$(\frac{\sqrt{2}}{3}, \frac{\sqrt{7}}{3})$
45500	Evaluate	(1/( square root of 2))^0	${(\frac{1}{\sqrt{2}})}^{0}$