Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
45701	Find the Difference Quotient	f(x)=2x-6	$f (x) = 2 x - 6$
45702	Find the Difference Quotient	f(x)=-x^2-2x+3	$f (x) = - x^{2} - 2 x + 3$
45703	Convert to Logarithmic Form	(1/7)^-2=49	${(\frac{1}{7})}^{- 2} = 49$
45704	Convert to Logarithmic Form	0.002=e^-6	$0.002 = e^{- 6}$
45705	Convert to Logarithmic Form	square root of 49=7	$\sqrt{49} = 7$
45706	Convert to Logarithmic Form	pi^(1-x)=e^(8x)	$π^{1 - x} = e^{8 x}$
45707	Convert to Logarithmic Form	(25)^x=1/5	${(25)}^{x} = \frac{1}{5}$
45708	Convert to Logarithmic Form	19^0=1	$19^{0} = 1$
45709	Convert to Logarithmic Form	16 1/4=2	$16 \frac{1}{4} = 2$
45710	Find the Difference Quotient	f(x)=1/(x+6)	$f (x) = \frac{1}{x + 6}$
45711	Find the Asymptotes	2(2/5)^x	$2 {(\frac{2}{5})}^{x}$
45712	Find the Asymptotes	log base 4 of x+2	$\log_{4} (x + 2)$
45713	Find the Asymptotes	e^x-1	$e^{x} - 1$
45714	Find the Asymptotes	(x^2-8x+7)/(x^2-2x+1)	$\frac{x^{2} - 8 x + 7}{x^{2} - 2 x + 1}$
45715	Find the Asymptotes	(x^2-x-2)/((x^2-1)(x^2-16))	$\frac{x^{2} - x - 2}{(x^{2} - 1) (x^{2} - 16)}$
45716	Find the Asymptotes	(x^2-4x-32)/(x+4)	$\frac{x^{2} - 4 x - 32}{x + 4}$
45717	Find the Asymptotes	(x^4-16x^2)/(x^3+3x^2-4x)	$\frac{x^{4} - 16 x^{2}}{x^{3} + 3 x^{2} - 4 x}$
45718	Find the Asymptotes	(x+1)/(2x+1)	$\frac{x + 1}{2 x + 1}$
45719	Find the Asymptotes	(x-49)/(x^2-8x+12)	$\frac{x - 49}{x^{2} - 8 x + 12}$
45720	Find the Vertex Form	y=x^2-8x+7	$y = x^{2} - 8 x + 7$
45721	Find the Upper and Lower Bounds	g(x)=x^3+6x^2-3x-18	$g (x) = x^{3} + 6 x^{2} - 3 x - 18$
45722	Find the Vertex Form	y=x^2-12x+16	$y = x^{2} - 12 x + 16$
45723	Convert to Logarithmic Form	e^(5x)=7	$e^{5 x} = 7$
45724	Convert to Logarithmic Form	a^6=30	$a^{6} = 30$
45725	Convert to Logarithmic Form	b^p=N	$b^{p} = N$
45726	Convert to Logarithmic Form	e^1.386=4	$e^{1.386} = 4$
45727	Convert to Logarithmic Form	7.389=e^2	$7.389 = e^{2}$
45728	Convert to Logarithmic Form	6^2=33	$6^{2} = 33$
45729	Convert to Logarithmic Form	5^7=78125	$5^{7} = 78125$
45730	Find the Vertex Form	x^2+6x-4y+1=0	$x^{2} + 6 x - 4 y + 1 = 0$
45731	Find the Vertex Form	5y^2-4x^2=20	$5 y^{2} - 4 x^{2} = 20$
45732	Find the Vertex Form	y=2x^2-8x+11	$y = 2 x^{2} - 8 x + 11$
45733	Find the Vertex Form	x^2+9y^2+10x-18y+25=0	$x^{2} + 9 y^{2} + 10 x - 18 y + 25 = 0$
45734	Find the Vertex Form	x^2+y^2-2x-4y+4=0	$x^{2} + y^{2} - 2 x - 4 y + 4 = 0$
45735	Find the Vertex Form	y=x^2+4x+11	$y = x^{2} + 4 x + 11$
45736	Convert to Logarithmic Form	x^10=y	$x^{10} = y$
45737	Convert to Logarithmic Form	y^-13=x	$y^{- 13} = x$
45738	Find the Asymptotes	(x^2)/(x^2-81)	$\frac{x^{2}}{x^{2} - 81}$
45739	Find the Asymptotes	(x^2+3x-5)/(6x^2-x-35)	$\frac{x^{2} + 3 x - 5}{6 x^{2} - x - 35}$
45740	Find the Asymptotes	(x^2+6x+8)/(x+4)	$\frac{x^{2} + 6 x + 8}{x + 4}$
45741	Find the Asymptotes	(x^2+11x+30)/(x+6)	$\frac{x^{2} + 11 x + 30}{x + 6}$
45742	Find the Asymptotes	8/(x-7)	$\frac{8}{x - 7}$
45743	Find the Asymptotes	(8x^2+1)/(4x^2+2x-6)	$\frac{8 x^{2} + 1}{4 x^{2} + 2 x - 6}$
45744	Find the Asymptotes	(-4x-7)/(5x+6)	$\frac{- 4 x - 7}{5 x + 6}$
45745	Find the Asymptotes	(4x-8)/((x-4)(x+1))	$\frac{4 x - 8}{(x - 4) (x + 1)}$
45746	Find the Asymptotes	(3x^2)/(x^2-1)	$\frac{3 x^{2}}{x^{2} - 1}$
45747	Find the Asymptotes	(3x^2-5x-12)/(x^2-9)	$\frac{3 x^{2} - 5 x - 12}{x^{2} - 9}$
45748	Find the Asymptotes	(4x)/(x-3)	$\frac{4 x}{x - 3}$
45749	Find the Asymptotes	((2x+1)(9x-2))/(x^2-49)	$\frac{(2 x + 1) (9 x - 2)}{x^{2} - 49}$
45750	Find the Asymptotes	(2x)/(x^2+4)	$\frac{2 x}{x^{2} + 4}$
45751	Find the Asymptotes	(2x^2-5x-3)/(x^2-4)	$\frac{2 x^{2} - 5 x - 3}{x^{2} - 4}$
45752	Find the Asymptotes	2/(x^2-2x-3)	$\frac{2}{x^{2} - 2 x - 3}$
45753	Find All Complex Solutions	x^5=25x^3	$x^{5} = 25 x^{3}$
45754	Find All Complex Solutions	-sin(theta)^2+cos(theta)^2=1-sin(theta)	$- \sin^{2} (θ) + \cos^{2} (θ) = 1 - \sin (θ)$
45755	Find All Complex Solutions	sin(2x)+sin(x)=0	$\sin (2 x) + \sin (x) = 0$
45756	Find All Complex Solutions	sin(x)=-cos(x)^2-1	$\sin (x) = - \cos^{2} (x) - 1$
45757	Find All Complex Solutions	tan(x)csc(x)-tan(x)=0	$\tan (x) \csc (x) - \tan (x) = 0$
45758	Find All Complex Solutions	tan(theta)=-( square root of 3)/3	$\tan (θ) = - \frac{\sqrt{3}}{3}$
45759	Find All Complex Solutions	x^3-9x^2+23x-15=0	$x^{3} - 9 x^{2} + 23 x - 15 = 0$
45760	Find All Complex Solutions	x^4+1=0	$x^{4} + 1 = 0$
45761	Find All Complex Solutions	x^2+6x-2=0	$x^{2} + 6 x - 2 = 0$
45762	Find All Complex Solutions	cos(2x)- square root of 3cos(x)=-1	$\cos (2 x) - \sqrt{3} \cos (x) = - 1$
45763	Find All Complex Solutions	7x^2+7x+3=0	$7 x^{2} + 7 x + 3 = 0$
45764	Find All Complex Solutions	7x^2-7x+3=0	$7 x^{2} - 7 x + 3 = 0$
45765	Find All Complex Solutions	(x-3)^(2/3)=36	${(x - 3)}^{\frac{2}{3}} = 36$
45766	Find All Complex Solutions	sin(4x)=( square root of 3)/2	$\sin (4 x) = \frac{\sqrt{3}}{2}$
45767	Find All Complex Solutions	tan(x/2)=0	$\tan (\frac{x}{2}) = 0$
45768	Find All Complex Solutions	1+sin(theta)=2cos(theta)^2	$1 + \sin (θ) = 2 \cos^{2} (θ)$
45769	Find All Complex Solutions	11x^3+17x^2-21x+5=0	$11 x^{3} + 17 x^{2} - 21 x + 5 = 0$
45770	Find All Complex Solutions	2cos(x)^2=1	$2 \cos^{2} (x) = 1$
45771	Find All Complex Solutions	2sin(x)cos(x)=cos(x)	$2 \sin (x) \cos (x) = \cos (x)$
45772	Find the Reciprocal	-( square root of 3)/2	$- \frac{\sqrt{3}}{2}$
45773	Use the Rational Roots Test to Find All Possible Roots	P(x)=4x^4+8x^3-7x^2-21x-9	$P (x) = 4 x^{4} + 8 x^{3} - 7 x^{2} - 21 x - 9$
45774	Use the Rational Roots Test to Find All Possible Roots	f(x)=2x^4-x^3+x-2	$f (x) = 2 x^{4} - x^{3} + x - 2$
45775	Use the Rational Roots Test to Find All Possible Roots	f(x)=2x^4-13x^3-16x^2+243x-116	$f (x) = 2 x^{4} - 13 x^{3} - 16 x^{2} + 243 x - 116$
45776	Use the Rational Roots Test to Find All Possible Roots	f(x)=9x^4-9x^3-58x^2+4x+24	$f (x) = 9 x^{4} - 9 x^{3} - 58 x^{2} + 4 x + 24$
45777	Find the Center and Radius	(x+3)^2+(y-1)^2=4/25	${(x + 3)}^{2} + {(y - 1)}^{2} = \frac{4}{25}$
45778	Find the Center and Radius	(x+3)^2+(y-4)^2=36	${(x + 3)}^{2} + {(y - 4)}^{2} = 36$
45779	Find the Center and Radius	(x+3)^2+(y-4)^2=9	${(x + 3)}^{2} + {(y - 4)}^{2} = 9$
45780	Find the Center and Radius	(x+4)^2+(y-8)^2=64	${(x + 4)}^{2} + {(y - 8)}^{2} = 64$
45781	Find the Center and Radius	(x+13)^2+(y-8)^2=16	${(x + 13)}^{2} + {(y - 8)}^{2} = 16$
45782	Find the Center and Radius	(x+2)^2+(y+1)^2=16	${(x + 2)}^{2} + {(y + 1)}^{2} = 16$
45783	Find the Center and Radius	(x+2)^2+(y+2)^2=4	${(x + 2)}^{2} + {(y + 2)}^{2} = 4$
45784	Find the Center and Radius	(x+2)^2+(y+7)^2=81	${(x + 2)}^{2} + {(y + 7)}^{2} = 81$
45785	Find the Center and Radius	(x+2)^2+(y-5)^2=2	${(x + 2)}^{2} + {(y - 5)}^{2} = 2$
45786	Find the Center and Radius	(x+2)^2+(y-5)^2=25	${(x + 2)}^{2} + {(y - 5)}^{2} = 25$
45787	Find the Center and Radius	(x+2)^2+(y-5)^2=9	${(x + 2)}^{2} + {(y - 5)}^{2} = 9$
45788	Find the Center and Radius	(x+1)^2+(y-4)^2=25	${(x + 1)}^{2} + {(y - 4)}^{2} = 25$
45789	Find the Center and Radius	(x+1)^2+(y-6)^2=2.25	${(x + 1)}^{2} + {(y - 6)}^{2} = 2.25$
45790	Find the Inverse	y=2x-8	$y = 2 x - 8$
45791	Find the Inverse	y=2e^(x-2)	$y = 2 e^{x - 2}$
45792	Find the Inverse	y=11^x	$y = 11^{x}$
45793	Find the Inverse	y=4/(x-3)	$y = \frac{4}{x - 3}$
45794	Find the Inverse	y=(x+5)^(1/2)	$y = {(x + 5)}^{\frac{1}{2}}$
45795	Find the Inverse	y=1/(x-2)	$y = \frac{1}{x - 2}$
45796	Find the Inverse	y = square root of x-1	$y = \sqrt{x - 1}$
45797	Simplify/Condense	5 log of x-6 log of x-8	$5 \log (x) - 6 \log (x - 8)$
45798	Simplify/Condense	cos(x)cot(x)+sin(x)	$\cos (x) \cot (x) + \sin (x)$
45799	Simplify/Condense	3 log of 2+4 log of x-2 log of 4	$3 \log (2) + 4 \log (x) - 2 \log (4)$
45800	Simplify/Condense	4 log of x+4 log of y	$4 \log (x) + 4 \log (y)$