Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
23601	Factor	P(t)=240/(1+56.5e^(-0.37t))	$P (t) = \frac{240}{1 + 56.5 e^{- 0.37 t}}$
23602	Factor	Q(t)=400e^(0.05*10)	$Q (t) = 400 e^{0.05 \cdot 10}$
23603	Factor	R(x)=(40000+10000/3x)(27-x)+(40000+10000/3x)(3.00)	$R (x) = (40000 + \frac{10000}{3} x) (27 - x) + (40000 + \frac{10000}{3} x) (3)$
23604	Find Where Undefined/Discontinuous	y = natural log of tan(x)^2	$y = \ln (\tan^{2} (x))$
23605	Find Where Undefined/Discontinuous	y+16x=8	$y + 16 x = 8$
23606	Find Where Undefined/Discontinuous	f(x)=(7+x)/(x(x-6))	$f (x) = \frac{7 + x}{x (x - 6)}$
23607	Find Where Undefined/Discontinuous	f(x)=(\|x-7\|)/(x-7)	$f (x) = \frac{\| x - 7 \|}{x - 7}$
23608	Find Where Undefined/Discontinuous	(e^(1/x))/(x^2)	$\frac{e^{\frac{1}{x}}}{x^{2}}$
23609	Find Where Undefined/Discontinuous	f(x)=(x^2+6x+8)/(x^2-6x-16)	$f (x) = \frac{x^{2} + 6 x + 8}{x^{2} - 6 x - 16}$
23610	Find Where Undefined/Discontinuous	f(x)=1/(x^2-36)	$f (x) = \frac{1}{x^{2} - 36}$
23611	Find Where Undefined/Discontinuous	f(x)=1/(x^2-4)	$f (x) = \frac{1}{x^{2} - 4}$
23612	Find Where Undefined/Discontinuous	f(x)=1/(5-2sin(x))	$f (x) = \frac{1}{5 - 2 \sin (x)}$
23613	Find Where Undefined/Discontinuous	f(x)=1/( natural log of natural log of x)	$f (x) = \frac{1}{\ln (\ln (x))}$
23614	Find Where Undefined/Discontinuous	f(x)=2/(x^2-36x)	$f (x) = \frac{2}{x^{2} - 36 x}$
23615	Find Where Undefined/Discontinuous	f(x) = cube root of x-8	$f (x) = \sqrt[3]{x - 8}$
23616	Find Where Undefined/Discontinuous	f(x)=x/(3x-5)	$f (x) = \frac{x}{3 x - 5}$
23617	Find Where Undefined/Discontinuous	f(x) = square root of x+4	$f (x) = \sqrt{x + 4}$
23618	Find Where Undefined/Discontinuous	f(x) = square root of x-1	$f (x) = \sqrt{x - 1}$
23619	Find Where Undefined/Discontinuous	f(x) = square root of x^2+9	$f (x) = \sqrt{x^{2} + 9}$
23620	Find Where Undefined/Discontinuous	f(x)=(4x+1)/(5cos(x/2)+1)	$f (x) = \frac{4 x + 1}{5 \cos (\frac{x}{2}) + 1}$
23621	Evaluate the Derivative at @POINT	f(x)=-4e^(5x-2y) , (2,-1)	$f (x) = - 4 e^{5 x - 2 y}$ , $(2, - 1)$
23622	Evaluate the Derivative at @POINT	(dy)/(dx)=4x-6 , (2,3)	$\frac{d y}{d x} = 4 x - 6$ , $(2, 3)$
23623	Evaluate the Derivative at @POINT	(dy)/(dx)=5x-4 , (2,3)	$\frac{d y}{d x} = 5 x - 4$ , $(2, 3)$
23624	Determine if Linear	(dy)/(dx) = square root of x/y	$\frac{d y}{d x} = \sqrt{\frac{x}{y}}$
23625	Evaluate the Derivative at @POINT	h(t)=sin(4t) , [0,pi/8]	$h (t) = \sin (4 t)$ , $[0, \frac{π}{8}]$
23626	Evaluate the Derivative at @POINT	f(x)=3x+48/x , (0,8)	$f (x) = 3 x + \frac{48}{x}$ , $(0, 8)$
23627	Evaluate the Derivative at @POINT	f(x)=4x^3-7x^2-4 , (4,140)	$f (x) = 4 x^{3} - 7 x^{2} - 4$ , $(4, 140)$
23628	Evaluate the Derivative at @POINT	6x^3y^2-2y^3=3 , (2,-3)	$6 x^{3} y^{2} - 2 y^{3} = 3$ , $(2, - 3)$
23629	Evaluate the Derivative at @POINT	18x^3y^2-6y^3=-3 , (-3,-5)	$18 x^{3} y^{2} - 6 y^{3} = - 3$ , $(- 3, - 5)$
23630	Evaluate the Derivative at @POINT	f(x,y)=xsin(xy) , (2,0) , x=pi/3	$f (x, y) = x \sin (x y)$ , $(2, 0)$ , $x = \frac{π}{3}$
23631	Evaluate the Derivative at @POINT	cos(4y)=x , (0,pi/8)	$\cos (4 y) = x$ , $(0, \frac{π}{8})$
23632	Evaluate the Derivative at @POINT	18x^3y^2-6y^3=-2 , (3,-7)	$18 x^{3} y^{2} - 6 y^{3} = - 2$ , $(3, - 7)$
23633	Evaluate the Derivative at @POINT	12x^3y^2-4y^3=-3 , (2,-3)	$12 x^{3} y^{2} - 4 y^{3} = - 3$ , $(2, - 3)$
23634	Evaluate the Derivative at @POINT	18x^3y^2-6y^3=4 , (3,-7)	$18 x^{3} y^{2} - 6 y^{3} = 4$ , $(3, - 7)$
23635	Evaluate the Derivative at @POINT	18x^3y^2-6y^3=-8 , (-3,-5)	$18 x^{3} y^{2} - 6 y^{3} = - 8$ , $(- 3, - 5)$
23636	Evaluate the Derivative at @POINT	12x^3y^2-4y^3=4 , (-3,-5)	$12 x^{3} y^{2} - 4 y^{3} = 4$ , $(- 3, - 5)$
23637	Evaluate the Derivative at @POINT	y=3x^2-4x , (-1,7)	$y = 3 x^{2} - 4 x$ , $(- 1, 7)$
23638	Evaluate the Derivative at @POINT	y=5x^3-5x , (1,0)	$y = 5 x^{3} - 5 x$ , $(1, 0)$
23639	Evaluate the Derivative at @POINT	y=4x^2-5x , (-1,9)	$y = 4 x^{2} - 5 x$ , $(- 1, 9)$
23640	Evaluate the Derivative at @POINT	y=2x^2-5x , (-1,7)	$y = 2 x^{2} - 5 x$ , $(- 1, 7)$
23641	Evaluate the Derivative at @POINT	y=x^3-4x , (2,0)	$y = x^{3} - 4 x$ , $(2, 0)$
23642	Evaluate the Derivative at @POINT	y=-x^2+4 , (3,-5)	$y = - x^{2} + 4$ , $(3, - 5)$
23643	Evaluate the Derivative at @POINT	y=4x^3-3x , (1,1)	$y = 4 x^{3} - 3 x$ , $(1, 1)$
23644	Evaluate the Derivative at @POINT	-z/x , (1,3)	$- \frac{z}{x}$ , $(1, 3)$
23645	Find the Concavity	f(x)=2x^4+8x^3	$f (x) = 2 x^{4} + 8 x^{3}$
23646	Find the Exponential Function	(8,-4)	$(8, - 4)$
23647	Factor	A(x)=1000(e^(0.09(5)))	$A (x) = 1000 (e^{0.09 (5)})$
23648	Factor	f(x)=(x^2-4)/(x-2)	$f (x) = \frac{x^{2} - 4}{x - 2}$
23649	Factor	f(x)=1/2* square root of x^2-2x-3	$f (x) = \frac{1}{2} \cdot \sqrt{x^{2} - 2 x - 3}$
23650	Factor	f(x)=x^2-12x-90	$f (x) = x^{2} - 12 x - 90$
23651	Find the Area Under the Curve	y=81-x^2 , (-9,9)	$y = 81 - x^{2}$ , $(- 9, 9)$
23652	Find the Area Under the Curve	y=x^2 , (1,5)	$y = x^{2}$ , $(1, 5)$
23653	Find the Area Under the Curve	f(x)=11-3x^2 , [0,1]	$f (x) = 11 - 3 x^{2}$ , $[0, 1]$
23654	Find the Area Under the Curve	f(x)=e^x , [-2,2]	$f (x) = e^{x}$ , $[- 2, 2]$
23655	Find the Area Under the Curve	y=x^4 , [2,3]	$y = x^{4}$ , $[2, 3]$
23656	Solve for x	x^2-2 square root of 5x+5=0	$x^{2} - 2 \sqrt{5 x} + 5 = 0$
23657	Solve for x	tan(x)=4.07/7.56	$\tan (x) = \frac{4.07}{7.56}$
23658	Solve for x	e^(0.06x)=3	$e^{0.06 x} = 3$
23659	Solve for x	1485=x^2(0.08x+59)	$1485 = x^{2} (0.08 x + 59)$
23660	Find the Inverse	f(x)=x^3+2x-1	$f (x) = x^{3} + 2 x - 1$
23661	Find the Inverse	f(x)=x^3-7x^2+25x-39	$f (x) = x^{3} - 7 x^{2} + 25 x - 39$
23662	Solve for x	4(2y-3)<2(3y+1)-(5-3y)	$4 (2 y - 3) < 2 (3 y + 1) - (5 - 3 y)$
23663	Solve for x	1.3x(-0.0001)e^(-0.0001x)+1.3e^(-0.0001x) , x=( natural log of 1/1.3)/-0.0001	$1.3 x (- 0.0001) e^{- 0.0001 x} + 1.3 e^{- 0.0001 x}$ , $x = \frac{\ln (\frac{1}{1.3})}{- 0.0001}$
23664	Prove that 0 is a Lower Bound and ` is an Upper Bound	f(x)=cos(x)-sin(x) , [0,pi]	$f (x) = \cos (x) - \sin (x)$ , $[0, π]$
23665	Find the Inverse	y=( natural log of (x)^2)	$y = (\ln ({(x)}^{2}))$
23666	Solve for x	sin(3x)=cos(2x)	$\sin (3 x) = \cos (2 x)$
23667	Solve for x	sin(x)=x	$\sin (x) = x$
23668	Solve for x	1/((2i)^3)=(e^(ix)+e^(-ix))^3	$\frac{1}{{(2 i)}^{3}} = {(e^{i x} + e^{- i x})}^{3}$
23669	Determine the Type of Number	tan(h(0))	$\tanh (0)$
23670	Determine the Type of Number	cos(h(0))	$\cosh (0)$
23671	Evaluate Using Summation Formulas	sum from x=1 to 8 of 15(-5/7)^(x-1)	$\sum_{x = 1}^{8} 15 {(- \frac{5}{7})}^{x - 1}$
23672	Evaluate Using Summation Formulas	sum from n=1 to infinity of (-1/3)^(n-1)	$\sum_{n = 1}^{\infty} {(- \frac{1}{3})}^{n - 1}$
23673	Determine the Type of Number	e	$e$
23674	Determine the Type of Number	sin(h(0))	$\sinh (0)$
23675	Find the Inverse	y=(e^x)/(1+2e^x)	$y = \frac{e^{x}}{1 + 2 e^{x}}$
23676	Find the Inverse	(x+2)/(x-6)	$\frac{x + 2}{x - 6}$
23677	Find the Inverse	f(x)=((5x+2)^5)/3+1	$f (x) = \frac{{(5 x + 2)}^{5}}{3} + 1$
23678	Find the Inverse	f(x)=1/4x^3+x-1	$f (x) = \frac{1}{4} x^{3} + x - 1$
23679	Find the Inverse	x/8+3	$\frac{x}{8} + 3$
23680	Find the Inverse	cos(x)	$\cos (x)$
23681	Find the Inverse	f(x)=6/5*cos(x)	$f (x) = \frac{6}{5} \cdot \cos (x)$
23682	Evaluate	50-40.5	$50 - 40.5$
23683	Evaluate	50000(10)+12000000(10)e^(-0.0510)+24000000e^(-0.0510)	$50000 (10) + 12000000 (10) e^{- 0.05 \cdot 10} + 24000000 e^{- 0.05 \cdot 10}$
23684	Evaluate	523(1/2)^(20/30)	$523 {(\frac{1}{2})}^{\frac{20}{30}}$
23685	Evaluate	500(1-0.02)^(1/5)	$500 {(1 - 0.02)}^{\frac{1}{5}}$
23686	Evaluate	-5cos(pi/3)	$- 5 \cos (\frac{π}{3})$
23687	Evaluate	5cos(2pi)	$5 \cos (2 π)$
23688	Evaluate	50e^(-(6))	$50 e^{- (6)}$
23689	Evaluate	500e(-1/0.05e^(-0.0525)+1/0.05e^(-0.05*0))	$500 e \cdot (- \frac{1}{0.05} \cdot e^{- 0.05 \cdot 25} + \frac{1}{0.05} \cdot e^{- 0.05 \cdot 0})$
23690	Evaluate	550e^(-0.79*7)	$550 e^{- 0.79 \cdot 7}$
23691	Evaluate	582(41)^(-1/2)	$582 {(41)}^{- \frac{1}{2}}$
23692	Evaluate	59.0cos(28)	$59 \cos (28)$
23693	Evaluate	550000*325	$550000 \cdot 325$
23694	Evaluate	5sin(1)	$5 \sin (1)$
23695	Evaluate	50e^(1/3*0)	$50 e^{\frac{1}{3} \cdot 0}$
23696	Evaluate	500(125)-2(125)^2	$500 (125) - 2 {(125)}^{2}$
23697	Evaluate	5(3)^3e^-3	$5 {(3)}^{3} e^{- 3}$
23698	Evaluate	5arcsin(1/2)	$5 \arcsin (\frac{1}{2})$
23699	Evaluate	5(4.9)^2-2*4.9	$5 {(4.9)}^{2} - 2 \cdot 4.9$
23700	Evaluate	4tan(pi/3)	$4 \tan (\frac{π}{3})$