Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
44801	Expand the Logarithmic Expression	log base b of y^2z	$\log_{b} (y^{2} z)$
44802	Expand the Logarithmic Expression	log base b of (p^2q^5)/(m^3b^9)	$\log_{b} (\frac{p^{2} q^{5}}{m^{3} b^{9}})$
44803	Expand the Logarithmic Expression	log base b of (p^4q^7)/(m^3b^8)	$\log_{b} (\frac{p^{4} q^{7}}{m^{3} b^{8}})$
44804	Find the Roots (Zeros)	f(x)=4x^3+5x^2-4x-5	$f (x) = 4 x^{3} + 5 x^{2} - 4 x - 5$
44805	Find the Roots (Zeros)	f(x)=-3x^3-4x^2+x-3	$f (x) = - 3 x^{3} - 4 x^{2} + x - 3$
44806	Find the Roots (Zeros)	f(x)=3x^3-x^2-15x+5	$f (x) = 3 x^{3} - x^{2} - 15 x + 5$
44807	Find the Roots (Zeros)	f(x)=5x^3-5x^2-10x	$f (x) = 5 x^{3} - 5 x^{2} - 10 x$
44808	Find the Roots (Zeros)	f(x)=x^2+2x-15	$f (x) = x^{2} + 2 x - 15$
44809	Find the Roots (Zeros)	p(x)=x^3-15x^2+75x-125	$p (x) = x^{3} - 15 x^{2} + 75 x - 125$
44810	Find the Roots (Zeros)	f(x)=x^3-7x^2+41x-87	$f (x) = x^{3} - 7 x^{2} + 41 x - 87$
44811	Find the Roots (Zeros)	f(x)=x^3-7x^2+8x+16	$f (x) = x^{3} - 7 x^{2} + 8 x + 16$
44812	Find the Roots (Zeros)	f(x)=x^3-5x^2+8x-24	$f (x) = x^{3} - 5 x^{2} + 8 x - 24$
44813	Find the Roots (Zeros)	f(x)=x^3-3x^2-28x+60	$f (x) = x^{3} - 3 x^{2} - 28 x + 60$
44814	Find the Degree	cos(theta)=7/9	$\cos (θ) = \frac{7}{9}$
44815	Convert from Degrees to Radians	-56 degrees	$- 56 °$
44816	Convert from Degrees to Radians	-95 degrees	$- 95 °$
44817	Convert from Degrees to Radians	-77 degrees	$- 77 °$
44818	Convert from Degrees to Radians	theta=(3pi)/5	$θ = \frac{3 π}{5}$
44819	Convert from Degrees to Radians	tan(x)=( square root of 3)/3	$\tan (x) = \frac{\sqrt{3}}{3}$
44820	Convert from Degrees to Radians	theta=(23pi)/20	$θ = \frac{23 π}{20}$
44821	Convert from Degrees to Radians	sin(theta)=( square root of 2)/2	$\sin (θ) = \frac{\sqrt{2}}{2}$
44822	Convert from Degrees to Radians	-2160 degrees	$- 2160 °$
44823	Convert from Degrees to Radians	-175 degrees	$- 175 °$
44824	Convert from Degrees to Radians	247.5 degrees	$247.5 °$
44825	Convert from Degrees to Radians	435 degrees	$435 °$
44826	Convert from Degrees to Radians	-32 degrees	$- 32 °$
44827	Convert from Degrees to Radians	333 degrees	$333 °$
44828	Convert from Degrees to Radians	323 degrees	$323 °$
44829	Determine if Odd, Even, or Neither	g(x)=x^2+2x	$g (x) = x^{2} + 2 x$
44830	Identify the Zeros and Their Multiplicities	x^3-8x^2+25x-26	$x^{3} - 8 x^{2} + 25 x - 26$
44831	Find the Vertex	x^2+10x=8y-17	$x^{2} + 10 x = 8 y - 17$
44832	Find the Vertex	(y-4)^2=-8(x+1)	${(y - 4)}^{2} = - 8 (x + 1)$
44833	Find the Vertex	y=x^2-3x-4	$y = x^{2} - 3 x - 4$
44834	Find the Vertex	y=x^2-4x+9	$y = x^{2} - 4 x + 9$
44835	Find the Vertex	y=x^2-5x+6	$y = x^{2} - 5 x + 6$
44836	Find the x and y Intercepts	y=x^3-x^2-4x+4	$y = x^{3} - x^{2} - 4 x + 4$
44837	Find the x and y Intercepts	y = natural log of x-k+2	$y = \ln (x - k) + 2$
44838	Find the x and y Intercepts	t=pi/3	$t = \frac{π}{3}$
44839	Find the x and y Intercepts	y=4x^2+3	$y = 4 x^{2} + 3$
44840	Find the x and y Intercepts	y=3-2x	$y = 3 - 2 x$
44841	Find the x and y Intercepts	-pi/2<=x<=(3pi)/2	$- \frac{π}{2} \leq x \leq \frac{3 π}{2}$
44842	Find the x and y Intercepts	5x^2+20x+5y^2=0	$5 x^{2} + 20 x + 5 y^{2} = 0$
44843	Find the x and y Intercepts	4x^2+4y^2-32x+8y-32=0	$4 x^{2} + 4 y^{2} - 32 x + 8 y - 32 = 0$
44844	Find the x and y Intercepts	3x^2+30x+3y^2=0	$3 x^{2} + 30 x + 3 y^{2} = 0$
44845	Find Trig Functions Using Identities	tan(theta)=8/5	$\tan (θ) = \frac{8}{5}$
44846	Find the Roots (Zeros)	7+5x^4-3x^2	$7 + 5 x^{4} - 3 x^{2}$
44847	Find the Roots (Zeros)	x^3-9x^2+9x-81	$x^{3} - 9 x^{2} + 9 x - 81$
44848	Find the Vertex	f(x)=2x^2+12x+10	$f (x) = 2 x^{2} + 12 x + 10$
44849	Find the Vertex	f(x)=2x^2-4x+5	$f (x) = 2 x^{2} - 4 x + 5$
44850	Find the Other Trig Values in Quadrant I	cot(theta)=8/6	$\cot (θ) = \frac{8}{6}$
44851	Find the Other Trig Values in Quadrant I	sin(x)=8/17	$\sin (x) = \frac{8}{17}$
44852	Find the Other Trig Values in Quadrant I	tan(theta)=1/4	$\tan (θ) = \frac{1}{4}$
44853	Find All Complex Number Solutions	z^6=i	$z^{6} = i$
44854	Find All Complex Number Solutions	z=6+5i	$z = 6 + 5 i$
44855	Find the Other Trig Values in Quadrant I	sin(theta)>0 , cos(theta)>0	$\sin (θ) > 0$ , $\cos (θ) > 0$
44856	Find the Other Trig Values in Quadrant II	sin(theta)=21/29	$\sin (θ) = \frac{21}{29}$
44857	Split Using Partial Fraction Decomposition	14/((x-5)(x+1))	$\frac{14}{(x - 5) (x + 1)}$
44858	Solve the Triangle	tri{12}{}{17}{}{11}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = & 17 \\ a = & 11 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
44859	Solve by Substitution	x-4y=-11x+3y=3	$x - 4 y = - 11 x + 3 y = 3$
44860	Solve by Substitution	3x-2y=55x+3y=2	$3 x - 2 y = 55 x + 3 y = 2$
44861	Find the x and y Intercepts	f(x)=x^2(x-4)(x+4)	$f (x) = x^{2} (x - 4) (x + 4)$
44862	Find the Value Using the Unit Circle	(5pi)/2	$\frac{5 π}{2}$
44863	Find the Value Using the Unit Circle	(10pi)/3	$\frac{10 π}{3}$
44864	Find the Value Using the Unit Circle	(11pi)/4	$\frac{11 π}{4}$
44865	Find the x and y Intercepts	f(x)=-4x^4-8x^3	$f (x) = - 4 x^{4} - 8 x^{3}$
44866	Find the x and y Intercepts	f(x)=2x^2	$f (x) = 2 x^{2}$
44867	Identify the Polar Equation	R=2-cos(theta)	$R = 2 - \cos (θ)$
44868	Identify the Polar Equation	r=3theta	$r = 3 θ$
44869	Identify the Polar Equation	z=1/2+( square root of 3)/2i	$z = \frac{1}{2} + \frac{\sqrt{3}}{2} i$
44870	Identify the Polar Equation	r=sin(theta)+2cos(theta)	$r = \sin (θ) + 2 \cos (θ)$
44871	Identify the Polar Equation	z=9-3 square root of 3i	$z = 9 - 3 \sqrt{3} i$
44872	Identify the Polar Equation	z=1+ square root of 3i	$z = 1 + \sqrt{3} i$
44873	Identify the Polar Equation	r=6/(1+2cos(theta))	$r = \frac{6}{1 + 2 \cos (θ)}$
44874	Identify the Polar Equation	r=3/(1-cos(theta))	$r = \frac{3}{1 - \cos (θ)}$
44875	Identify the Polar Equation	theta=2pi	$θ = 2 π$
44876	Find the Sum of the Infinite Geometric Series	8 , 4 , 2	$8$ , $4$ , $2$
44877	Eliminate the Parameter	x=4thetacos(theta) , y=4thetasin(theta)	$x = 4 θ \cos (θ)$ , $y = 4 θ \sin (θ)$
44878	Rationalize the Denominator	(x^2-121)/( square root of x- square root of 11)	$\frac{x^{2} - 121}{\sqrt{x} - \sqrt{11}}$
44879	Expand Using Pascal's Triangle	(p-q)^6	${(p - q)}^{6}$
44880	Write as a Single Logarithm	log base 5 of 8x- log base 5 of 4	$\log_{5} (8 x) - \log_{5} (4)$
44881	Write as a Single Logarithm	log of 12+1/2 log of 7- log of 2	$\log (12) + \frac{1}{2} \log (7) - \log (2)$
44882	Find the Domain	f(x)=1/(3x-12)	$f (x) = \frac{1}{3 x - 12}$
44883	Solve Using a Matrix with Cramer's Rule	x-4y+5z=21x-y-5z=-47-3x+6y+5z=73	$x - 4 y + 5 z = 21 x - y - 5 z = - 47 - 3 x + 6 y + 5 z = 73$
44884	Reduce the Fraction	(4pi)/3	$\frac{4 π}{3}$
44885	Reduce the Fraction	(5pi)/3	$\frac{5 π}{3}$
44886	Find the Standard Form of the Parabola	y^2+10x+10y-5=0	$y^{2} + 10 x + 10 y - 5 = 0$
44887	Find the Standard Form of the Parabola	x^2+6x-y+10=0	$x^{2} + 6 x - y + 10 = 0$
44888	Find the Domain	f(x) = square root of 4x-16	$f (x) = \sqrt{4 x - 16}$
44889	Find the Domain	f(x) = log base 5 of 8-2x	$f (x) = \log_{5} (8 - 2 x)$
44890	Find the Domain	f(x) = square root of 3-5x	$f (x) = \sqrt{3 - 5 x}$
44891	Find the Domain	f(X) = square root of 18-x	$f (X) = \sqrt{18 - x}$
44892	Find the Domain	f(x) = natural log of 1/(x+7)	$f (x) = \ln (\frac{1}{x + 7})$
44893	Find the Domain	f(x)=(x+6)/(x^2-12x+36)	$f (x) = \frac{x + 6}{x^{2} - 12 x + 36}$
44894	Find the Domain	f(x) = log base 5 of (x+1)(x-1)	$f (x) = \log_{5} ((x + 1) (x - 1))$
44895	Find the Domain	f(x) = natural log of x^2+6x-7	$f (x) = \ln (x^{2} + 6 x - 7)$
44896	Find the Domain	f(x) = log base 2 of (x+5)(x-2)	$f (x) = \log_{2} ((x + 5) (x - 2))$
44897	Find the Domain	h(x)=(x-1)/(x^3-16x)	$h (x) = \frac{x - 1}{x^{3} - 16 x}$
44898	Find the Domain	g(x) = square root of 9-x	$g (x) = \sqrt{9 - x}$
44899	Find the Domain	f(x)=2x-4	$f (x) = 2 x - 4$
44900	Find the Domain	(5x)/(x^2-81)	$\frac{5 x}{x^{2} - 81}$