Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
55501	Evaluate the Function	f(5)=(x^2-x-20)/(x-5)	$f (5) = \frac{x^{2} - x - 20}{x - 5}$
55502	Evaluate the Function	f(9)=( square root of x+4x)(x^(3/2)-x)	$f (9) = (\sqrt{x} + 4 x) (x^{\frac{3}{2}} - x)$
55503	Evaluate the Function	f(-3)=x^3-9x^2-81x	$f (- 3) = x^{3} - 9 x^{2} - 81 x$
55504	Evaluate the Function	f(6)=t^3-9t^2+24t	$f (6) = t^{3} - 9 t^{2} + 24 t$
55505	Evaluate the Function	f(x)=x^(1/2) , a=9	$f (x) = x^{\frac{1}{2}}$ , $a = 9$
55506	Evaluate the Function	f(x)=x^4+x-6 x_0=-1	$f (x) = x^{4} + x - 6$ $x_{0} = - 1$
55507	Evaluate the Function	f(10)=(89t)/(99-t-89)	$f (10) = \frac{89 t}{99 - t - 89}$
55508	Evaluate the Function	f(7/3)=x^3-14x^2+49x	$f (\frac{7}{3}) = x^{3} - 14 x^{2} + 49 x$
55509	Evaluate the Function	f(x)=1/18x^3-27/2x+81 ; c=-18	$f (x) = \frac{1}{18} x^{3} - \frac{27}{2} x + 81$ ; $c = - 18$
55510	Evaluate the Function	f(3)=x^2	$f (3) = x^{2}$
55511	Evaluate the Function	f(x)=6x^2-5x+8 , f(x+h)	$f (x) = 6 x^{2} - 5 x + 8$ , $f (x + h)$
55512	Evaluate the Function	f(1)=(e^xx-e^x)/(x^2)	$f (1) = \frac{e^{x} x - e^{x}}{x^{2}}$
55513	Evaluate the Function	f(x)=(11^0.1-1)/(0.1)	$f (x) = \frac{(11^{0.1} - 1)}{(0.1)}$
55514	Evaluate the Function	g(x)=(5x^2+4x-3)(2x^2-3x+1)	$g (x) = (5 x^{2} + 4 x - 3) (2 x^{2} - 3 x + 1)$
55515	Evaluate the Function	f(1.5)=x^3-3x-2	$f (1.5) = x^{3} - 3 x - 2$
55516	Evaluate the Function	f(2)=5x^5-7e^x	$f (2) = 5 x^{5} - 7 e^{x}$
55517	Evaluate the Function	f(x)=1/((-2.01)^2-4)	$f (x) = \frac{1}{{(- 2.01)}^{2} - 4}$
55518	Evaluate the Function	p(x)=1024/x+900 ; x=2	$p (x) = \frac{1024}{x} + 900$ ; $x = 2$
55519	Evaluate the Function	f(x)=6x^2	$f (x) = 6 x^{2}$
55520	Evaluate the Function	R(x)=54000x+34000(10+x)^-1-8000 , x=10	$R (x) = 54000 x + 34000 {(10 + x)}^{- 1} - 8000$ , $x = 10$
55521	Evaluate the Function	f(x)=x^2+x-6 , [-7,-1]	$f (x) = x^{2} + x - 6$ , $[- 7, - 1]$
55522	Evaluate the Function	f(x)=1/((-2.1)^2-4)	$f (x) = \frac{1}{{(- 2.1)}^{2} - 4}$
55523	Evaluate the Function	f(1)=1/( square root of 2pi)e^(-(1/2)x^2)	$f (1) = \frac{1}{\sqrt{2 π}} e^{- (\frac{1}{2}) x^{2}}$
55524	Evaluate the Function	f(3)=3t^2-18t+16	$f (3) = 3 t^{2} - 18 t + 16$
55525	Evaluate the Function	j(-1)=x^2-2x-2	$j (- 1) = x^{2} - 2 x - 2$
55526	Evaluate the Function	f(0)=8e^(-x^2)x^2-4e^(-x^2)	$f (0) = 8 e^{- x^{2}} x^{2} - 4 e^{- x^{2}}$
55527	Evaluate the Function	f(x)=-1+25/-1	$f (x) = - 1 + \frac{25}{- 1}$
55528	Evaluate the Function	f(x)=1/( square root of x) , x=1/16	$f (x) = \frac{1}{\sqrt{x}}$ , $x = \frac{1}{16}$
55529	Evaluate the Function	f(x)=1/((-1.5)^2-4)	$f (x) = \frac{1}{{(- 1.5)}^{2} - 4}$
55530	Evaluate the Function	f(5)=30e^(0.1681*5)	$f (5) = 30 e^{0.1681 \cdot 5}$
55531	Evaluate the Function	f(x)=sin(x) , a=pi/6	$f (x) = \sin (x)$ , $a = \frac{π}{6}$
55532	Evaluate the Function	f(x)=1/((-2.001)^2-4)	$f (x) = \frac{1}{{(- 2.001)}^{2} - 4}$
55533	Find the Domain and Range	1/5x-1/7	$\frac{1}{5} x - \frac{1}{7}$
55534	Find the Domain and Range	(1/2)^(x-2)	${(\frac{1}{2})}^{x - 2}$
55535	Find the Domain and Range	x^2+10x+21	$x^{2} + 10 x + 21$
55536	Find the Domain and Range	-3x^2+12x-3	$- 3 x^{2} + 12 x - 3$
55537	Find the Domain and Range	2x^2-3x+5	$2 x^{2} - 3 x + 5$
55538	Find the Domain and Range	1/10x-1/10	$\frac{1}{10} x - \frac{1}{10}$
55539	Find the Domain and Range	x/(1- natural log of x-8)	$\frac{x}{1 - \ln (x - 8)}$
55540	Find the Domain and Range	arcsin(e^x)	$\arcsin (e^{x})$
55541	Find the Domain and Range	1/2x-1/4	$\frac{1}{2} x - \frac{1}{4}$
55542	Find the Domain and Range	-3\|cos(x)\|+2	$- 3 \| \cos (x) \| + 2$
55543	Find the Domain and Range	x^2+10x+5	$x^{2} + 10 x + 5$
55544	Find the Domain and Range	x^2+10x+24	$x^{2} + 10 x + 24$
55545	Find the Domain and Range	cube root of t-1	$\sqrt[3]{t - 1}$
55546	Find the Domain and Range	(2x+1)/(x-4)	$\frac{2 x + 1}{x - 4}$
55547	Find the Domain and Range	6x^2+12x-1	$6 x^{2} + 12 x - 1$
55548	Find the Domain and Range	x^2+6x+3	$x^{2} + 6 x + 3$
55549	Find the Domain and Range	arccot(x)	$arccot (x)$
55550	Find the Domain and Range	-3/(2t^(3/2))	$- \frac{3}{2 t^{\frac{3}{2}}}$
55551	Find the Domain and Range	fourth root of x-1	$\sqrt[4]{x - 1}$
55552	Find the Domain and Range	2x-6x^2	$2 x - 6 x^{2}$
55553	Find the Domain and Range	-x^2+2x-1	$- x^{2} + 2 x - 1$
55554	Find the Domain and Range	arccos(cos(x))	$\arccos (\cos (x))$
55555	Find the Domain and Range	arcsin(4x+12)	$\sin^{-1} (4 x + 12)$
55556	Find the Domain and Range	9+3^x	$9 + 3^{x}$
55557	Find the Domain and Range	(x^2-5x+10)/(3x+2)	$\frac{x^{2} - 5 x + 10}{3 x + 2}$
55558	Find the Domain and Range	square root of x-11	$\sqrt{x - 11}$
55559	Find the Domain and Range	32+ square root of x	$32 + \sqrt{x}$
55560	Find the Slope of a Perpendicular Line	y=3/4x	$y = \frac{3}{4} x$
55561	Find the Trig Value	sin(pi/12)cos((3pi)/4)+cos(pi/12)sin((3pi)/4)	$\sin (\frac{π}{12}) \cos (\frac{3 π}{4}) + \cos (\frac{π}{12}) \sin (\frac{3 π}{4})$
55562	Find the Trig Value	tan(pi/6)	$\tan (\frac{π}{6})$
55563	Find the Trig Value	tan(h(x))=24/25	$\tanh (x) = \frac{24}{25}$
55564	Find the Trig Value	sec(theta)=6/5	$\sec (θ) = \frac{6}{5}$
55565	Find the Trig Value	csc(theta) = square root of 2	$\csc (θ) = \sqrt{2}$
55566	Find the Trig Value	cos(theta)=1/4	$\cos (θ) = \frac{1}{4}$
55567	Find the Trig Value	cos(theta)=5/13	$\cos (θ) = \frac{5}{13}$
55568	Find the Derivative Using Product Rule - d/d@VAR	p(y)=(y^-1+y^-2)(2y^-3-8y^-4)	$p (y) = (y^{- 1} + y^{- 2}) (2 y^{- 3} - 8 y^{- 4})$
55569	Find the Derivative Using Product Rule - d/d@VAR	f(x)=(3x-5)( square root of x+3)	$f (x) = (3 x - 5) (\sqrt{x} + 3)$
55570	Find the Derivative Using Product Rule - d/d@VAR	h(z)=(4-z^2)(z^3-4z+2)	$h (z) = (4 - z^{2}) (z^{3} - 4 z + 2)$
55571	Find the Derivative Using Product Rule - d/d@VAR	g(x)=3(x^3-6)^2(x^2+4x-6)^10	$g (x) = 3 {(x^{3} - 6)}^{2} {(x^{2} + 4 x - 6)}^{10}$
55572	Find the Derivative Using Product Rule - d/d@VAR	h(z)=(4-z^2)(z^3-5z+5)	$h (z) = (4 - z^{2}) (z^{3} - 5 z + 5)$
55573	Find the Derivative Using Product Rule - d/d@VAR	f(x)=(4x-4)(5x+1)	$f (x) = (4 x - 4) (5 x + 1)$
55574	Find the Derivative Using Product Rule - d/d@VAR	f(x)=3x^5(x^3-8x)	$f (x) = 3 x^{5} (x^{3} - 8 x)$
55575	Find the Derivative Using Product Rule - d/d@VAR	f(t)=t^-4sin(t)	$f (t) = t^{- 4} \sin (t)$
55576	Find the Derivative Using Product Rule - d/d@VAR	f(x)=(x-7)(3x+5)	$f (x) = (x - 7) (3 x + 5)$
55577	Find the Concavity	y=4x- natural log of x	$y = 4 x - \ln (x)$
55578	Find the Concavity	y=x^4+8x^3-72x^2+4	$y = x^{4} + 8 x^{3} - 72 x^{2} + 4$
55579	Find the Concavity	y=xe^(-3x)	$y = x e^{- 3 x}$
55580	Find the Concavity	y=x^4-72x^2-17	$y = x^{4} - 72 x^{2} - 17$
55581	Find the Concavity	y=5x^2-x-4	$y = 5 x^{2} - x - 4$
55582	Find the Derivative Using Product Rule - d/dd	d/(dv)(v^2(2 square root of v+1))	$\frac{d}{d v} (v^{2} (2 \sqrt{v} + 1))$
55583	Find the Local Maxima and Minima	f(x,y)=x^3+9xy+y^3+35	$f (x, y) = x^{3} + 9 x y + y^{3} + 35$
55584	Find the Local Maxima and Minima	f'(x)=2xe^(x^2-2x-8)	$f' (x) = 2 x e^{(x^{2} - 2 x - 8)}$
55585	Find the Local Maxima and Minima	f'(x)=(x-4)(x+1)(x+5)	$f' (x) = (x - 4) (x + 1) (x + 5)$
55586	Find the Local Maxima and Minima	f(x,y)=x^2y-xy^2	$f (x, y) = x^{2} y - x y^{2}$
55587	Find the Local Maxima and Minima	f(x,y)=9-2x+4y-x^2-4y^2	$f (x, y) = 9 - 2 x + 4 y - x^{2} - 4 y^{2}$
55588	Find the Local Maxima and Minima	f(x,y)=xy+y-18x	$f (x, y) = x y + y - 18 x$
55589	Find the Local Maxima and Minima	f(x,y)=xy+y-2x	$f (x, y) = x y + y - 2 x$
55590	Find the Local Maxima and Minima	y=x^3-3x^2-9x+20	$y = x^{3} - 3 x^{2} - 9 x + 20$
55591	Find the Local Maxima and Minima	y=x^4-4x^2-4	$y = x^{4} - 4 x^{2} - 4$
55592	Find the Local Maxima and Minima	y = square root of 81-x^2	$y = \sqrt{81 - x^{2}}$
55593	Find the Local Maxima and Minima	y=-0.025x^2+3x	$y = - 0.025 x^{2} + 3 x$
55594	Find the Local Maxima and Minima	y=(9x)/(1+0.25x^2)	$y = \frac{9 x}{1 + 0.25 x^{2}}$
55595	Find the Local Maxima and Minima	y=(19x)/(1+0.25x^2)	$y = \frac{19 x}{1 + 0.25 x^{2}}$
55596	Find the Local Maxima and Minima	y=(14x)/(1+0.25x^2)	$y = \frac{14 x}{1 + 0.25 x^{2}}$
55597	Find the Local Maxima and Minima	y=(10x)/(x^2+25)	$y = \frac{10 x}{x^{2} + 25}$
55598	Find the Local Maxima and Minima	y=2x square root of 36-x^2	$y = 2 x \sqrt{36 - x^{2}}$
55599	Find the Local Maxima and Minima	y=2x^5+5x^4-13	$y = 2 x^{5} + 5 x^{4} - 13$
55600	Find the Local Maxima and Minima	y=2x^5+5x^4-15	$y = 2 x^{5} + 5 x^{4} - 15$