Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
63001	Find the Inflection Points	5 square root of xe^(-x)	$5 \sqrt{x} e^{- x}$
63002	Find the Inflection Points	2x^3-3x^2-36x+5	$2 x^{3} - 3 x^{2} - 36 x + 5$
63003	Find the Inflection Points	20x^2e^(-3x)	$20 x^{2} e^{- 3 x}$
63004	Find the Inflection Points	15/13(x^2-25)^(2/3)	$\frac{15}{13} {(x^{2} - 25)}^{\frac{2}{3}}$
63005	Find the Inflection Points	1/10x^5+1/2x^4-3/10	$\frac{1}{10} x^{5} + \frac{1}{2} x^{4} - \frac{3}{10}$
63006	Find the Inflection Points	(x-1)^4	${(x - 1)}^{4}$
63007	Find the Inflection Points	(x^3-3x^2+3x-1)/(x^2+x-2)	$\frac{x^{3} - 3 x^{2} + 3 x - 1}{x^{2} + x - 2}$
63008	Find the Inflection Points	(x^2-6)e^x	$(x^{2} - 6) e^{x}$
63009	Find the Inflection Points	x square root of 7-x	$x \sqrt{7 - x}$
63010	Find the Inflection Points	x square root of x^2+25	$x \sqrt{x^{2} + 25}$
63011	Find the Inflection Points	x^2e^(-2x)	$x^{2} e^{- 2 x}$
63012	Find the Inflection Points	x square root of 36-x^2	$x \sqrt{36 - x^{2}}$
63013	Find the Inflection Points	x square root of 16-x^2	$x \sqrt{16 - x^{2}}$
63014	Find the Inflection Points	e^x(x-4)	$e^{x} (x - 4)$
63015	Find the Inflection Points	e^(9x)	$e^{9 x}$
63016	Find the Inflection Points	x(x/2-5)^4	$x {(\frac{x}{2} - 5)}^{4}$
63017	Find the Inflection Points	xe^(2x)	$x e^{2 x}$
63018	Find the Inflection Points	x+cos(x)	$x + \cos (x)$
63019	Find the Inflection Points	x^9-9x	$x^{9} - 9 x$
63020	Find the Inflection Points	x^3-4x^2	$x^{3} - 4 x^{2}$
63021	Find the Inflection Points	x^3-3x^2-9x+7	$x^{3} - 3 x^{2} - 9 x + 7$
63022	Find the Roots (Zeros)	f(x)=2x^3-3x-1	$f (x) = 2 x^{3} - 3 x - 1$
63023	Find the Roots (Zeros)	p(x)=x^5-3x^4+12x^3-28x^2+27x-9	$p (x) = x^{5} - 3 x^{4} + 12 x^{3} - 28 x^{2} + 27 x - 9$
63024	Find the Roots (Zeros)	s(w)=w^4-w^3-29w^2-w-30	$s (w) = w^{4} - w^{3} - 29 w^{2} - w - 30$
63025	Find the Roots (Zeros)	f(x)=x^5-12x^3+7x-5	$f (x) = x^{5} - 12 x^{3} + 7 x - 5$
63026	Find the Roots (Zeros)	f(x)=x^3-2x^2-3x	$f (x) = x^{3} - 2 x^{2} - 3 x$
63027	Find the Roots (Zeros)	f(x)=x^3+6x^2-138x-143	$f (x) = x^{3} + 6 x^{2} - 138 x - 143$
63028	Evaluate Using the Given Value	1800+60x+0.6^2 ; x=41	$1800 + 60 x + {0.6}^{2}$ ; $x = 41$
63029	Evaluate Using the Given Value	3x^(-3/4) , y(1)=8	$3 x^{- \frac{3}{4}}$ , $y (1) = 8$
63030	Evaluate Using the Given Value	f(0) = square root of 1+(2.025*10^-9)(1)^2	$f (0) = \sqrt{1 + (2.025 \cdot 10^{- 9}) {(1)}^{2}}$
63031	Expand the Logarithmic Expression	log of ( square root of x)/y	$\log (\frac{\sqrt{x}}{y})$
63032	Expand the Logarithmic Expression	natural log of (3 square root of 7)/( cube root of 5)	$\ln (\frac{3 \sqrt{7}}{\sqrt[3]{5}})$
63033	Expand the Logarithmic Expression	natural log of square root of 6p^7q^9	$\ln (\sqrt{6 p^{7} q^{9}})$
63034	Determine if Continuous	f(x)=(x^2-1)/(x-1)	$f (x) = \frac{x^{2} - 1}{x - 1}$
63035	Find the Axis of Symmetry	f(x)=-5(x+7)(x-5)	$f (x) = - 5 (x + 7) (x - 5)$
63036	Find the Slope of the Tangent Line at x=1	f(x)=x^4-20x^2+64 ; x=1	$f (x) = x^{4} - 20 x^{2} + 64$ ; $x = 1$
63037	Convert to Trigonometric Form	8-8i	$8 - 8 i$
63038	Convert to Trigonometric Form	7-7i	$7 - 7 i$
63039	Convert to Trigonometric Form	(1/2(cos(pi/7)+isin(pi/7)))^7	${(\frac{1}{2} (\cos (\frac{π}{7}) + i \sin (\frac{π}{7})))}^{7}$
63040	Convert to Trigonometric Form	-3+2i	$- 3 + 2 i$
63041	Convert to Interval Notation	9x^3+54x^2-16x-96>0	$9 x^{3} + 54 x^{2} - 16 x - 96 > 0$
63042	Convert to Interval Notation	x^3+8x^2+12x<0	$x^{3} + 8 x^{2} + 12 x < 0$
63043	Convert to Interval Notation	x^3+x^2-37x+35>=0	$x^{3} + x^{2} - 37 x + 35 \geq 0$
63044	Find the Mean	100 , 100 , 100 , 90 , 95 , 85 , 92 , 98 , 92 , 88	$100$ , $100$ , $100$ , $90$ , $95$ , $85$ , $92$ , $98$ , $92$ , $88$
63045	Convert to Trigonometric Form	(cos((3pi)/12)+isin((3pi)/12))^5	${(\cos (\frac{3 π}{12}) + i \sin (\frac{3 π}{12}))}^{5}$
63046	Convert to Trigonometric Form	(cos((3pi)/5)+isin((3pi)/5))^3	${(\cos (\frac{3 π}{5}) + i \sin (\frac{3 π}{5}))}^{3}$
63047	Convert to Interval Notation	((x+12)(x-4))/(x-1)>=0	$\frac{(x + 12) (x - 4)}{x - 1} \geq 0$
63048	Convert to Interval Notation	(x-19)/(x-20)>3	$\frac{x - 19}{x - 20} > 3$
63049	Convert to Interval Notation	(x-7)(x+4)^2(x-1)>=0	$(x - 7) {(x + 4)}^{2} (x - 1) \geq 0$
63050	Convert to Interval Notation	(2x+1)(x-2)(3x-4)<=0	$(2 x + 1) (x - 2) (3 x - 4) \leq 0$
63051	Convert to Interval Notation	2x^2+5x-3<=0	$2 x^{2} + 5 x - 3 \leq 0$
63052	Convert to Interval Notation	3x^2+2x<x^4	$3 x^{2} + 2 x < x^{4}$
63053	Convert to Interval Notation	3x^3-75x<x^2-25	$3 x^{3} - 75 x < x^{2} - 25$
63054	Convert to Interval Notation	-4<x<=5	$- 4 < x \leq 5$
63055	Convert to Interval Notation	5sin(2x)+3>11/2	$5 \sin (2 x) + 3 > \frac{11}{2}$
63056	Convert to Interval Notation	x^2+8x+15>=0	$x^{2} + 8 x + 15 \geq 0$
63057	Convert to Interval Notation	x^2+8x>0	$x^{2} + 8 x > 0$
63058	Find the Inflection Points	f(x)=e^(4x)	$f (x) = e^{4 x}$
63059	Find the Inflection Points	f(x)=9 square root of xe^(-x)	$f (x) = 9 \sqrt{x} e^{- x}$
63060	Find the Inflection Points	f(x)=x^(2/3)e^x	$f (x) = x^{\frac{2}{3}} e^{x}$
63061	Find the Inflection Points	f(x)=x^4-2x^2-1	$f (x) = x^{4} - 2 x^{2} - 1$
63062	Find the Inflection Points	f(x)=x^3-6x^2-15x+3	$f (x) = x^{3} - 6 x^{2} - 15 x + 3$
63063	Find the Inflection Points	f(x)=x^3-9x^2-21x+5	$f (x) = x^{3} - 9 x^{2} - 21 x + 5$
63064	Find the Inflection Points	f(x)=x^3-3x^2-9x+5	$f (x) = x^{3} - 3 x^{2} - 9 x + 5$
63065	Find the Inflection Points	f(x)=x-2sin(x)	$f (x) = x - 2 \sin (x)$
63066	Find the Inflection Points	f(x)=x^4-9x^3+9x^2+5x-4	$f (x) = x^{4} - 9 x^{3} + 9 x^{2} + 5 x - 4$
63067	Find the Inflection Points	f(x)=x^4-50x^2+2	$f (x) = x^{4} - 50 x^{2} + 2$
63068	Find the Inflection Points	f(x)=14x+14e^x	$f (x) = 14 x + 14 e^{x}$
63069	Find the Inflection Points	f(x)=15x^(2/3)-10x	$f (x) = 15 x^{\frac{2}{3}} - 10 x$
63070	Find the Inflection Points	f(x)=2cos(x)^2-4sin(x)	$f (x) = 2 \cos^{2} (x) - 4 \sin (x)$
63071	Find the Inflection Points	f(x)=2sin(x)-( square root of 3)/2x^2	$f (x) = 2 \sin (x) - \frac{\sqrt{3}}{2} x^{2}$
63072	Find the Inflection Points	f(x)=200+8x^3+x^4	$f (x) = 200 + 8 x^{3} + x^{4}$
63073	Find the Inflection Points	f(x)=-3x^3+36x^2-135x+7	$f (x) = - 3 x^{3} + 36 x^{2} - 135 x + 7$
63074	Find the Inflection Points	f(x)=3x^2-2x^3	$f (x) = 3 x^{2} - 2 x^{3}$
63075	Find the Inflection Points	f(x)=3x^3-36x-7	$f (x) = 3 x^{3} - 36 x - 7$
63076	Find the Inflection Points	f(x)=4x^3+3x^2-6x+1	$f (x) = 4 x^{3} + 3 x^{2} - 6 x + 1$
63077	Find the Inflection Points	f(x)=-4x^3-24x^2+8x+9	$f (x) = - 4 x^{3} - 24 x^{2} + 8 x + 9$
63078	Find the Inflection Points	f(x)=3x^4-4x^3-12x^2+5	$f (x) = 3 x^{4} - 4 x^{3} - 12 x^{2} + 5$
63079	Find the Inflection Points	f(x)=4x^6-5x^5	$f (x) = 4 x^{6} - 5 x^{5}$
63080	Find the Inflection Points	f(x)=5cos(x)^2-10sin(x)	$f (x) = 5 \cos^{2} (x) - 10 \sin (x)$
63081	Find the Inflection Points	f(x)=5x^3-125x	$f (x) = 5 x^{3} - 125 x$
63082	Find the Inflection Points	f(x)=8e^x-e^(2x)	$f (x) = 8 e^{x} - e^{2 x}$
63083	Find the Inflection Points	f(x)=9x^6-13x^5	$f (x) = 9 x^{6} - 13 x^{5}$
63084	Find the Inflection Points	f(x)=ax^3+2x^2+2x+1	$f (x) = a x^{3} + 2 x^{2} + 2 x + 1$
63085	Find the Inflection Points	f(x)=x/(4-x^2)	$f (x) = \frac{x}{4 - x^{2}}$
63086	Find the Inflection Points	f(x)=(x-1)(x^2-2x-2)	$f (x) = (x - 1) (x^{2} - 2 x - 2)$
63087	Find the Inflection Points	f(x)=(x^4-x^3-8)/(x^2-x-6)	$f (x) = \frac{x^{4} - x^{3} - 8}{x^{2} - x - 6}$
63088	Find the Directrix	x^2+2x-4y+17=0	$x^{2} + 2 x - 4 y + 17 = 0$
63089	Find the Directrix	(y-2)^2=8(x-1)	${(y - 2)}^{2} = 8 (x - 1)$
63090	Find the Directrix	((y-2)^2)/64+(x^2)/9=1	$\frac{{(y - 2)}^{2}}{64} + \frac{x^{2}}{9} = 1$
63091	Find the Directrix	y^2+10x=0	$y^{2} + 10 x = 0$
63092	Find the Directrix	x^2=-40y	$x^{2} = - 40 y$
63093	Find the Directrix	x^2=10y	$x^{2} = 10 y$
63094	Find the Directrix	y^2-3y-x+3=0	$y^{2} - 3 y - x + 3 = 0$
63095	Find the Inverse	y = square root of x	$y = \sqrt{x}$
63096	Find the Inverse	c=5/9(F-32)	$c = \frac{5}{9} (F - 32)$
63097	Find the Inverse	y=2x-9	$y = 2 x - 9$
63098	Find the Inverse	y=3x^2+2	$y = 3 x^{2} + 2$
63099	Find the Inverse	y=7x-8	$y = 7 x - 8$
63100	Find the Local Maxima and Minima	2x^3+6x^2-90x+7	$2 x^{3} + 6 x^{2} - 90 x + 7$