Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
47001	Determine if Odd, Even, or Neither	f(x)=x^8+x	$f (x) = x^{8} + x$
47002	Determine if Odd, Even, or Neither	f(x)=x^6+3x	$f (x) = x^{6} + 3 x$
47003	Determine if Odd, Even, or Neither	f(x)=x^6+x	$f (x) = x^{6} + x$
47004	Determine if Odd, Even, or Neither	f(x)=x^6-2x^2+3	$f (x) = x^{6} - 2 x^{2} + 3$
47005	Write as a Function of r	r=3+3cos(theta)	$r = 3 + 3 \cos (θ)$
47006	Write as a Function of v	v=3i-4j	$v = 3 i - 4 j$
47007	Solve Using an Augmented Matrix	y-5z=1 , 4x+4z=4 , 5x-4y-5z=1	$y - 5 z = 1$ , $4 x + 4 z = 4$ , $5 x - 4 y - 5 z = 1$
47008	Subtract	1/(sec(x)+1)-1/(sec(x)-1)	$\frac{1}{\sec (x) + 1} - \frac{1}{\sec (x) - 1}$
47009	Subtract	(2x+5)/7-x/7	$\frac{2 x + 5}{7} - \frac{x}{7}$
47010	Subtract	(2+2i)-(14+16i)	$(2 + 2 i) - (14 + 16 i)$
47011	Find Trig Functions Using Triangle Sides	theta=pi/4	$θ = \frac{π}{4}$
47012	Find Trig Functions Using Triangle Sides	theta=(7pi)/6	$θ = \frac{7 π}{6}$
47013	Find Trig Functions Using Triangle Sides	t=(11pi)/6	$t = \frac{11 π}{6}$
47014	Find Trig Functions Using Triangle Sides	t=(2pi)/3	$t = \frac{2 π}{3}$
47015	Solve Using an Augmented Matrix	5x-8y=68x+y=9	$5 x - 8 y = 68 x + y = 9$
47016	Subtract	x/(x^2-1)-1/(x-1)	$\frac{x}{x^{2} - 1} - \frac{1}{x - 1}$
47017	Subtract	(x^2)/(2x-3)-4/(2x-3)	$\frac{x^{2}}{2 x - 3} - \frac{4}{2 x - 3}$
47018	Subtract	6/(5x^2+26x+5)-1/(x^2+x-20)	$\frac{6}{5 x^{2} + 26 x + 5} - \frac{1}{x^{2} + x - 20}$
47019	Subtract	(9m-1)/(8m+2)-5/(7m^2)	$\frac{9 m - 1}{8 m + 2} - \frac{5}{7 m^{2}}$
47020	Convert Degrees, Minutes, Seconds to Decimal Degrees	50 degrees 20'30''	$50 ° 20' 30''$
47021	Convert Degrees, Minutes, Seconds to Decimal Degrees	54 degrees 11'	$54 ° 11'$
47022	Convert Degrees, Minutes, Seconds to Decimal Degrees	8 degrees 8'8''	$8 ° 8' 8''$
47023	Convert Degrees, Minutes, Seconds to Decimal Degrees	81 degrees 39'	$81 ° 39'$
47024	Find the Domain and Range	((x+4)^2)/9-((y-1)^2)/16=1	$\frac{{(x + 4)}^{2}}{9} - \frac{{(y - 1)}^{2}}{16} = 1$
47025	Find the Domain and Range	((y+5)^2)/4-((x-1)^2)/16=1	$\frac{{(y + 5)}^{2}}{4} - \frac{{(x - 1)}^{2}}{16} = 1$
47026	Solve Using an Inverse Matrix	x+y-2z=5x+2y+z=82x+3y-z=1	$x + y - 2 z = 5 x + 2 y + z = 82 x + 3 y - z = 1$
47027	Find the Domain and Range	(x^2)/16+(y^2)/4=1	$\frac{x^{2}}{16} + \frac{y^{2}}{4} = 1$
47028	Find the Domain and Range	(y^2)/25-(x^2)/49=1	$\frac{y^{2}}{25} - \frac{x^{2}}{49} = 1$
47029	Find the Domain and Range	(y^2)/4-(x^2)/49=1	$\frac{y^{2}}{4} - \frac{x^{2}}{49} = 1$
47030	Find the Domain and Range	(y^2)/4-(x^2)/9=1	$\frac{y^{2}}{4} - \frac{x^{2}}{9} = 1$
47031	Find the Domain and Range	(y^2)/9-(x^2)/49=1	$\frac{y^{2}}{9} - \frac{x^{2}}{49} = 1$
47032	Solve the Function Operation	g(x)=-3+2x^2f(x)=9-4xg/f*4	$g (x) = - 3 + 2 x^{2} f (x) = 9 - 4 x \frac{g}{f} \cdot 4$
47033	Find the Domain and Range	y = square root of x+7	$y = \sqrt{x + 7}$
47034	Find the Domain and Range	y=0.25^x+2	$y = {0.25}^{x} + 2$
47035	Find the Domain and Range	y=tan(1/2theta)	$y = \tan (\frac{1}{2} θ)$
47036	Find the Domain and Range	y=2cos(x-pi/2)-1	$y = 2 \cos (x - \frac{π}{2}) - 1$
47037	Find the Domain and Range	y = square root of 49-x^2	$y = \sqrt{49 - x^{2}}$
47038	Find the Domain and Range	y = log of 2-x	$y = \log (2 - x)$
47039	Find the Domain and Range	y = log of x+3	$y = \log (x + 3)$
47040	Find the Domain and Range	y^2=81-9x^2	$y^{2} = 81 - 9 x^{2}$
47041	Find the Domain and Range	y=(1/2)^x-3	$y = {(\frac{1}{2})}^{x} - 3$
47042	Find the Domain and Range	y=(2x)/(x-3)	$y = \frac{2 x}{x - 3}$
47043	Find the Domain and Range	y=-(3)^x-4	$y = - {(3)}^{x} - 4$
47044	Find the Domain and Range	y=(x-1)^2-4	$y = {(x - 1)}^{2} - 4$
47045	Find the Domain and Range	y=cot(2x)-1	$y = \cot (2 x) - 1$
47046	Find the Domain and Range	y=6/x	$y = \frac{6}{x}$
47047	Find the Domain and Range	f^-1(x)=-4+e^x	$f^{- 1} (x) = - 4 + e^{x}$
47048	Find the Domain and Range	x^2+y^2+2x=0	$x^{2} + y^{2} + 2 x = 0$
47049	Find the Domain and Range	x^2-y^2=81	$x^{2} - y^{2} = 81$
47050	Find the Domain and Range	x^2-y^2=36	$x^{2} - y^{2} = 36$
47051	Find the Domain and Range	x=-4	$x = - 4$
47052	Find the Domain and Range	x=-3	$x = - 3$
47053	Find the Domain and Range	y=x^7	$y = x^{7}$
47054	Find the Domain and Range	y=tan(pi/7x)	$y = \tan (\frac{π}{7} x)$
47055	Find the Domain and Range	y=-x	$y = - x$
47056	Find the Domain and Range	y=-e^x-6	$y = - e^{x} - 6$
47057	Find the Domain and Range	y=-e^(x+1)	$y = - e^{x + 1}$
47058	Find the Domain and Range	y=-e^x-3	$y = - e^{x} - 3$
47059	Find the Domain and Range	y=e^(-x)-3	$y = e^{- x} - 3$
47060	Find the Domain and Range	y=-e^x-4	$y = - e^{x} - 4$
47061	Find the Domain and Range	y=4x	$y = 4 x$
47062	Find the Domain and Range	y=4cos(x)	$y = 4 \cos (x)$
47063	Find the Domain and Range	y=7^(-x)	$y = 7^{- x}$
47064	Find the Domain and Range	y=b^x	$y = b^{x}$
47065	Find the Domain and Range	y=e^(-x)+4	$y = e^{- x} + 4$
47066	Find the Domain and Range	y=-e^x-1	$y = - e^{x} - 1$
47067	Find the Domain and Range	y=e^(-x)+1	$y = e^{- x} + 1$
47068	Find the Domain and Range	y=-e^x	$y = - e^{x}$
47069	Find the Domain and Range	y=2^(x+1)	$y = 2^{x + 1}$
47070	Find the Domain and Range	y=3^(x-2)	$y = 3^{x - 2}$
47071	Find the Domain and Range	y=3cos(1/3x)	$y = 3 \cos (\frac{1}{3} x)$
47072	Find the Domain and Range	y=4*(1/2)^x	$y = 4 \cdot {(\frac{1}{2})}^{x}$
47073	Divide Using Synthetic Division	(x^4-3x^2+2x-1)/(x-1)	$\frac{x^{4} - 3 x^{2} + 2 x - 1}{x - 1}$
47074	Divide Using Synthetic Division	(x^5+x^3-1)/(x-4)	$\frac{(x^{5} + x^{3} - 1)}{(x - 4)}$
47075	Divide Using Synthetic Division	(2x^5-x^4+3x^2-x+5)/(x-1)	$\frac{(2 x^{5} - x^{4} + 3 x^{2} - x + 5)}{x - 1}$
47076	Divide Using Synthetic Division	(3x^3+15x^2+17x+3)/(x+5)	$\frac{3 x^{3} + 15 x^{2} + 17 x + 3}{x + 5}$
47077	Divide Using Synthetic Division	(3x^3+4x^2-9x+6)/(x+2)	$\frac{3 x^{3} + 4 x^{2} - 9 x + 6}{x + 2}$
47078	Divide Using Synthetic Division	(9x^4+10x^2-1)÷(x-1/9)	$(9 x^{4} + 10 x^{2} - 1) \div (x - \frac{1}{9})$
47079	Find Amplitude, Period, and Phase Shift	f(x)=5sin(pi/3x+pi)-3	$f (x) = 5 \sin (\frac{π}{3} x + π) - 3$
47080	Find Amplitude, Period, and Phase Shift	f(x)=6sin(pi/5x+pi)+4	$f (x) = 6 \sin (\frac{π}{5} x + π) + 4$
47081	Find Amplitude, Period, and Phase Shift	P(t)=20sin((12pi)/5t)+120	$P (t) = 20 \sin (\frac{12 π}{5} t) + 120$
47082	Find the Maximum/Minimum Value	H(T)=-16t^2+80t+6	$H (T) = - 16 t^{2} + 80 t + 6$
47083	Find the Maximum/Minimum Value	h(t)=-16t^2+96t+112	$h (t) = - 16 t^{2} + 96 t + 112$
47084	Find Amplitude, Period, and Phase Shift	d(t)=9cos(pi/4t)	$d (t) = 9 \cos (\frac{π}{4} t)$
47085	Find the Maximum/Minimum Value	f(x)=x^2-4x+14	$f (x) = x^{2} - 4 x + 14$
47086	Find the Maximum/Minimum Value	f(x)=x^2-6x+7	$f (x) = x^{2} - 6 x + 7$
47087	Find the Maximum/Minimum Value	f(x)=6x^2	$f (x) = 6 x^{2}$
47088	Find the Maximum/Minimum Value	f(x)=8cos(x)	$f (x) = 8 \cos (x)$
47089	Find the Maximum/Minimum Value	g(x)=18x^2-36x+10	$g (x) = 18 x^{2} - 36 x + 10$
47090	Find the Maximum/Minimum Value	f(x)=x^3+3x^2+x-4	$f (x) = x^{3} + 3 x^{2} + x - 4$
47091	Find the Vertex	f(x)=-x^2-4x+3	$f (x) = - x^{2} - 4 x + 3$
47092	Find the Vertex	f(x)=-x^2-4x-1	$f (x) = - x^{2} - 4 x - 1$
47093	Determine the Possible Number of Real Roots	f(x)=x^3+6x^2-3x-18	$f (x) = x^{3} + 6 x^{2} - 3 x - 18$
47094	Determine the Possible Number of Real Roots	f(x)=8x^3+x^2-7x-13	$f (x) = 8 x^{3} + x^{2} - 7 x - 13$
47095	Find the Maximum/Minimum Value	f(x)=2-x+x^2	$f (x) = 2 - x + x^{2}$
47096	Find the Maximum/Minimum Value	f(x)=10-\|x\|	$f (x) = 10 - \| x \|$
47097	Find the Maximum/Minimum Value	f(x)=3x^2-18x+1	$f (x) = 3 x^{2} - 18 x + 1$
47098	Find the Maximum/Minimum Value	f(x)=5-x^2	$f (x) = 5 - x^{2}$
47099	Find the Maximum/Minimum Value	f(x)=-5x^2-15x	$f (x) = - 5 x^{2} - 15 x$
47100	Find the Maximum/Minimum Value	f(x)=2x^2-12x+16	$f (x) = 2 x^{2} - 12 x + 16$