Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
53001	Find the Asymptotes	f(x)=7-2/x	$f (x) = 7 - \frac{2}{x}$
53002	Find the Asymptotes	f(x)=7-5/x	$f (x) = 7 - \frac{5}{x}$
53003	Find the Asymptotes	f(x)=8tan(pix)	$f (x) = 8 \tan (π x)$
53004	Find the Asymptotes	f(x)=e^(-2x^2)	$f (x) = e^{- 2 x^{2}}$
53005	Find the Asymptotes	f(x)=x^5+5x^4+94	$f (x) = x^{5} + 5 x^{4} + 94$
53006	Find the Asymptotes	g(x)=2^x-6	$g (x) = 2^{x} - 6$
53007	Find the Asymptotes	R(x)=(13x+13)/(9x+27)	$R (x) = \frac{13 x + 13}{9 x + 27}$
53008	Find the Discriminant	3x^2-4x+5	$3 x^{2} - 4 x + 5$
53009	Find the Discriminant	2x^2+2x+5=0	$2 x^{2} + 2 x + 5 = 0$
53010	Find the Equation Using Two Points	f(1/2)=-5/3 , f(9)=4	$f (\frac{1}{2}) = - \frac{5}{3}$ , $f (9) = 4$
53011	Find the Domain	f(x) = natural log of e^x-7	$f (x) = \ln (e^{x} - 7)$
53012	Find the Domain	f(x)=-2x(x-1)(x-2)	$f (x) = - 2 x (x - 1) (x - 2)$
53013	Find the Domain	f(x) = natural log of e^x-3	$f (x) = \ln (e^{x} - 3)$
53014	Find the Domain	f(x)=(x-7)^(1/2)	$f (x) = {(x - 7)}^{\frac{1}{2}}$
53015	Find the Domain	f(x)=( cube root of x-7)/(x^3-7)	$f (x) = \frac{\sqrt[3]{x - 7}}{x^{3} - 7}$
53016	Find the Domain	f(x)=20/( square root of x-2)	$f (x) = \frac{20}{\sqrt{x - 2}}$
53017	Find the Domain	f(p) = square root of 2- square root of p	$f (p) = \sqrt{2 - \sqrt{p}}$
53018	Find the Domain	f(x)=(x+7)/(x^2-14x+49)	$f (x) = \frac{x + 7}{x^{2} - 14 x + 49}$
53019	Find the Domain	f(x)=(x-8)^(1/2)	$f (x) = {(x - 8)}^{\frac{1}{2}}$
53020	Find the Domain	f(x)=4+8x-5x^2	$f (x) = 4 + 8 x - 5 x^{2}$
53021	Find the Domain	g(x) = log base 3 of x^2-9	$g (x) = \log_{3} (x^{2} - 9)$
53022	Find the Domain	f(x)=1/(x^2-6x+8)	$f (x) = \frac{1}{x^{2} - 6 x + 8}$
53023	Find the Domain	f(x)=(1-3x)/(5+x)	$f (x) = \frac{1 - 3 x}{5 + x}$
53024	Find the Domain	f(x)=x/(2x-3)	$f (x) = \frac{x}{2 x - 3}$
53025	Find the Domain	f(x) = natural log of 9x^2	$f (x) = \ln (9 x^{2})$
53026	Find the Domain	f(x)=1/(2x-8)	$f (x) = \frac{1}{2 x - 8}$
53027	Find the Domain	h(x) = square root of x-10	$h (x) = \sqrt{x - 10}$
53028	Find the Domain	f(x)=( square root of x+8)/(x-5)	$f (x) = \frac{\sqrt{x + 8}}{x - 5}$
53029	Find the Domain	f(x)=1/(5x-15)	$f (x) = \frac{1}{5 x - 15}$
53030	Find the Domain	g(t) = square root of 1-5^t	$g (t) = \sqrt{1 - 5^{t}}$
53031	Find the Domain	f(x)=1/2x-1/10	$f (x) = \frac{1}{2} x - \frac{1}{10}$
53032	Solve for x	1/2<=(x+1)/3<3/4	$\frac{1}{2} \leq \frac{x + 1}{3} < \frac{3}{4}$
53033	Reduce the Fraction	pi/12	$\frac{π}{12}$
53034	Reduce the Fraction	30/35	$\frac{30}{35}$
53035	Find the Standard Form of the Parabola	y^2-12y+4x+36=0	$y^{2} - 12 y + 4 x + 36 = 0$
53036	Use the Rational Roots Test to Find All Possible Roots	3x^4-5x^2+25=0	$3 x^{4} - 5 x^{2} + 25 = 0$
53037	Find the Domain	f(x)=(1+x)/(e^(cos(x)))	$f (x) = \frac{1 + x}{e^{\cos (x)}}$
53038	Find the Domain	h(x) = square root of 4-x^2	$h (x) = \sqrt{4 - x^{2}}$
53039	Find the Domain	f(x) = natural log of 4-x^2	$f (x) = \ln (4 - x^{2})$
53040	Find the Domain	f(x)=-1/(x^2-2x-35)	$f (x) = \frac{- 1}{x^{2} - 2 x - 35}$
53041	Find the Domain	f(x)=(2x)/( square root of x)	$f (x) = \frac{2 x}{\sqrt{x}}$
53042	Find the Domain	f(x) = square root of x^4-81	$f (x) = \sqrt{x^{4} - 81}$
53043	Find the Domain	G(x) = square root of x^2-81	$G (x) = \sqrt{x^{2} - 81}$
53044	Find the Domain	f(t) = cube root of 2t-1	$f (t) = \sqrt[3]{2 t - 1}$
53045	Find the Domain	f(x)=2/(x^2-9)	$f (x) = \frac{2}{x^{2} - 9}$
53046	Find the Domain	f(x)=1/(x+10)	$f (x) = \frac{1}{x + 10}$
53047	Find the Domain	f(x)=( natural log of 3x+6)/(x-5)	$f (x) = \frac{\ln (3 x + 6)}{x - 5}$
53048	Find the Domain	f(x)=(2x)/(x^2-81)	$f (x) = \frac{2 x}{x^{2} - 81}$
53049	Find the Domain	f(x) = log of 14-x	$f (x) = \log (14 - x)$
53050	Find the Domain	f(x)=(4-e^(x^2))/(1-e^(4-x^2))	$f (x) = \frac{4 - e^{x^{2}}}{1 - e^{4 - x^{2}}}$
53051	Find the Domain	f(x)=3x+7	$f (x) = 3 x + 7$
53052	Find the Domain	f(x) = square root of 2x^2-128	$f (x) = \sqrt{2 x^{2} - 128}$
53053	Find the Domain	f(x) = cube root of 6x-5	$f (x) = \sqrt[3]{6 x - 5}$
53054	Find the Domain	G(t)=(1-3t)/(5+t)	$G (t) = \frac{1 - 3 t}{5 + t}$
53055	Find the Domain	g(t)=(1-6t)/(4+t)	$g (t) = \frac{1 - 6 t}{4 + t}$
53056	Find the Domain	G(t)=(1-5t)/(4+t)	$G (t) = \frac{1 - 5 t}{4 + t}$
53057	Find the Domain	f(x)=13/(3-x)	$f (x) = \frac{13}{3 - x}$
53058	Find the Domain	f(x) = square root of 6x-48	$f (x) = \sqrt{6 x - 48}$
53059	Find the Domain	f(x)=1/10x-1/6	$f (x) = \frac{1}{10} x - \frac{1}{6}$
53060	Find the Domain	g(x) = log base 4 of x^2-1	$g (x) = \log_{4} (x^{2} - 1)$
53061	Find the Domain	f(x)=1-2x-x^2	$f (x) = 1 - 2 x - x^{2}$
53062	Find the Domain	f(x)=x/(8x+49)	$f (x) = \frac{x}{8 x + 49}$
53063	Find the Domain	f(x)=1/(4x-20)	$f (x) = \frac{1}{4 x - 20}$
53064	Find the Domain	f(x)=(5x-6)/5	$f (x) = \frac{5 x - 6}{5}$
53065	Find the Domain	f(x)=x/(1- natural log of x-1)	$f (x) = \frac{x}{1 - \ln (x - 1)}$
53066	Find the Domain	f(x)=(x-5)^(1/2)	$f (x) = {(x - 5)}^{\frac{1}{2}}$
53067	Find the Domain	f(x)=1/(3x-5)	$f (x) = \frac{1}{3 x - 5}$
53068	Find the Domain	f(x)=6 square root of x+7	$f (x) = 6 \sqrt{x + 7}$
53069	Find the Domain	f(x)=(x+4)/(x^2-9)	$f (x) = \frac{(x + 4)}{x^{2} - 9}$
53070	Find the Domain	f(x) = natural log of x^3-8	$f (x) = \ln (x^{3} - 8)$
53071	Find the Domain	f(x)=5/(2x+8)	$f (x) = \frac{5}{2 x + 8}$
53072	Solve Using the Quadratic Formula	12x^2-160x+400=0	$12 x^{2} - 160 x + 400 = 0$
53073	Solve Using the Quadratic Formula	6-3x^2+4x=0	$6 - 3 x^{2} + 4 x = 0$
53074	Solve Using the Quadratic Formula	3x^2+24x+56=8	$3 x^{2} + 24 x + 56 = 8$
53075	Solve Using the Quadratic Formula	4x^2-13x-12=0	$4 x^{2} - 13 x - 12 = 0$
53076	Solve Using the Quadratic Formula	2x^2-10=0	$2 x^{2} - 10 = 0$
53077	Solve Using the Quadratic Formula	7w^2+w+1=0	$7 w^{2} + w + 1 = 0$
53078	Solve Using the Quadratic Formula	6x^2-5x=0	$6 x^{2} - 5 x = 0$
53079	Solve Using the Quadratic Formula	(9x-5)^2=25	${(9 x - 5)}^{2} = 25$
53080	Solve Using the Quadratic Formula	x^4-5x^2+4=0	$x^{4} - 5 x^{2} + 4 = 0$
53081	Solve Using the Quadratic Formula	3x^2+9k-1=0	$3 x^{2} + 9 k - 1 = 0$
53082	Solve Using the Quadratic Formula	x^2+20=8x	$x^{2} + 20 = 8 x$
53083	Solve Using the Quadratic Formula	x^2=1-8x	$x^{2} = 1 - 8 x$
53084	Solve Using the Quadratic Formula	4x^2=13x	$4 x^{2} = 13 x$
53085	Solve Using the Quadratic Formula	70=28x-0.2x^2-100	$70 = 28 x - 0.2 x^{2} - 100$
53086	Solve Using the Quadratic Formula	8x^2-3x=13-9x	$8 x^{2} - 3 x = 13 - 9 x$
53087	Solve Using the Quadratic Formula	4x^3-12x^2+12x-4=0	$4 x^{3} - 12 x^{2} + 12 x - 4 = 0$
53088	Find the Linearization at x=0	f(x) = square root of x+1+sin(x) , x=0	$f (x) = \sqrt{x + 1} + \sin (x)$ , $x = 0$
53089	Find the Linearization at a=p	f(x)=tan(x) , a=pi	$f (x) = \tan (x)$ , $a = π$
53090	Find the Linearization at a=-1	f(x)=2x^3-3x-4 , a=-1	$f (x) = 2 x^{3} - 3 x - 4$ , $a = - 1$
53091	Determine if Odd, Even, or Neither	h(x)=3x^2	$h (x) = 3 x^{2}$
53092	Determine if Odd, Even, or Neither	f(x)=6x^3+8x^2+7	$f (x) = 6 x^{3} + 8 x^{2} + 7$
53093	Determine if Odd, Even, or Neither	f(x)=4x^2+3	$f (x) = 4 x^{2} + 3$
53094	Find the Linearization at a=0	square root of 1-x , a=0	$\sqrt{1 - x}$ , $a = 0$
53095	Find the Linearization at x=27	f(x) = cube root of x , x=27	$f (x) = \sqrt[3]{x}$ , $x = 27$
53096	Find the Linearization at a=6	f(x) = square root of x^2+13 , a=6	$f (x) = \sqrt{x^{2} + 13}$ , $a = 6$
53097	Find the Tangent Line at x=3	y=216/(x^2+36) , x=3	$y = \frac{216}{x^{2} + 36}$ , $x = 3$
53098	Find the Tangent Line at x=1	natural log of x , x=1	$\ln (x)$ , $x = 1$
53099	Find the Tangent Line at (4,53)	y=x^3-3x+1 , (4,53)	$y = x^{3} - 3 x + 1$ , $(4, 53)$
53100	Find the Tangent Line at (3,6)	y=x^3-9x+6 , (3,6)	$y = x^{3} - 9 x + 6$ , $(3, 6)$