Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
61801	Apply the Quadratic Formula	12x^2-160x+400	$12 x^{2} - 160 x + 400$
61802	Write in Standard Form	(3,4)	$(3, 4)$
61803	Apply the Quadratic Formula	2x^2+x+2	$2 x^{2} + x + 2$
61804	Find the Vertex	y^2-12y+4x+4=0	$y^{2} - 12 y + 4 x + 4 = 0$
61805	Find the Vertex	x^2+8x-6y=0	$x^{2} + 8 x - 6 y = 0$
61806	Find the Vertex	x=1/24y^2	$x = \frac{1}{24} y^{2}$
61807	Find the Vertex	x=2y^2	$x = 2 y^{2}$
61808	Find the Vertex	x^2+2x+8y=15	$x^{2} + 2 x + 8 y = 15$
61809	Find the Critical Points	y=xe^x	$y = x e^{x}$
61810	Find dy/dx at (1,0)	square root of x+ square root of y=1 , (1,0)	$\sqrt{x} + \sqrt{y} = 1$ , $(1, 0)$
61811	Find the Critical Points	f'(x)=3x-5	$f' (x) = 3 x - 5$
61812	Find the Critical Points	x^2-1	$x^{2} - 1$
61813	Find the Critical Points	x^2-500 square root of x	$x^{2} - 500 \sqrt{x}$
61814	Find the Critical Points	x^(20/21)-x^(41/21)	$x^{\frac{20}{21}} - x^{\frac{41}{21}}$
61815	Find the Critical Points	x^3+2x^2-4x-8	$x^{3} + 2 x^{2} - 4 x - 8$
61816	Find the Critical Points	x^4+16x^3	$x^{4} + 16 x^{3}$
61817	Find the Critical Points	x(16-x)^3	$x {(16 - x)}^{3}$
61818	Find the Critical Points	e^(-x)sin(x)	$e^{- x} \sin (x)$
61819	Find the Critical Points	e^(5x)+e^(-x)	$e^{5 x} + e^{- x}$
61820	Find the Critical Points	e^x(x-1)	$e^{x} (x - 1)$
61821	Find the Critical Points	5+54x-2x^3	$5 + 54 x - 2 x^{3}$
61822	Find the Critical Points	cos(2x)	$\cos (2 x)$
61823	Find the Critical Points	sin(x)+cos(x)	$\sin (x) + \cos (x)$
61824	Find the Critical Points	12x^5-20x^3	$12 x^{5} - 20 x^{3}$
61825	Find the Critical Points	2x^2-6x	$2 x^{2} - 6 x$
61826	Find the Critical Points	2x^3+6x^2-48x+2	$2 x^{3} + 6 x^{2} - 48 x + 2$
61827	Find the Critical Points	2x^3-15x^2+24x	$2 x^{3} - 15 x^{2} + 24 x$
61828	Find the Critical Points	3x(12-x)^3	$3 x {(12 - x)}^{3}$
61829	Find the Sample Standard Deviation	51 64 35 74 42 62 34 39 52 77	$51$ $64$ $35$ $74$ $42$ $62$ $34$ $39$ $52$ $77$
61830	Find the Critical Points	(y-1)/(y^2-y+1)	$\frac{y - 1}{y^{2} - y + 1}$
61831	Evaluate the Function	f(2)=x^2-1	$f (2) = x^{2} - 1$
61832	Evaluate the Function	f(2)=x^2e^(-x)	$f (2) = x^{2} e^{- x}$
61833	Evaluate the Function	f(4)=18sec(3x+6)^2tan(3x+6)	$f (4) = 18 \sec^{2} (3 x + 6) \tan (3 x + 6)$
61834	Evaluate the Function	f(-64) = cube root of x-4	$f (- 64) = \sqrt[3]{x - 4}$
61835	Find the Derivative Using Product Rule - d/dx	y=e^x natural log of x	$y = e^{x} \ln (x)$
61836	Find the Domain and Range	\|x\|-1	$\| x \| - 1$
61837	Find the Domain and Range	5x-3	$5 x - 3$
61838	Find the Domain and Range	square root of 8-x	$\sqrt{8 - x}$
61839	Find the Domain and Range	(3x)/(x-2)	$\frac{3 x}{x - 2}$
61840	Find the Domain and Range	1/(x-5)	$\frac{1}{x - 5}$
61841	Find the Concavity	y=(x^2+5x)/(25-x^2)	$y = \frac{x^{2} + 5 x}{25 - x^{2}}$
61842	Find the Domain and Range	x^7-2	$x^{7} - 2$
61843	Find the LCD	(17a)/(15b^2c)(18b)/(24ac^3)	$\frac{17 a}{15 b^{2} c} \frac{18 b}{24 a c^{3}}$
61844	Find the Tangent Line at the Point	xe^y+ye^x=3 , (0,3)	$x e^{y} + y e^{x} = 3$ , $(0, 3)$
61845	Expand Using Pascal's Triangle	(1/x- square root of x)^5	${(\frac{1}{x} - \sqrt{x})}^{5}$
61846	Expand Using Pascal's Triangle	(2x+3y)^6	${(2 x + 3 y)}^{6}$
61847	Find the Area Between the Curves	y=2x-x^2y=2x-4	$y = 2 x - x^{2} y = 2 x - 4$
61848	Find the Area Between the Curves	y=2x^2-5x+5 , y=x^2+6x-5	$y = 2 x^{2} - 5 x + 5$ , $y = x^{2} + 6 x - 5$
61849	Find the Area Between the Curves	y=13x , y=x^2	$y = 13 x$ , $y = x^{2}$
61850	Find the Area Between the Curves	y=16-x^2 ; [-4,4]	$y = 16 - x^{2}$ ; $[- 4, 4]$
61851	Find the Area Between the Curves	y=2-x^2 , y=x^2	$y = 2 - x^{2}$ , $y = x^{2}$
61852	Find the Area Between the Curves	y=2x^2 , y=x^4-2x^2	$y = 2 x^{2}$ , $y = x^{4} - 2 x^{2}$
61853	Find the Area Between the Curves	y=\|10x\| , y=x^2-11	$y = \| 10 x \|$ , $y = x^{2} - 11$
61854	Find the Area Between the Curves	y=16x , y=x^2	$y = 16 x$ , $y = x^{2}$
61855	Find the Area Between the Curves	y^2=2x+7 , y=x-4	$y^{2} = 2 x + 7$ , $y = x - 4$
61856	Find the Area Between the Curves	y^2-3x=1 , x-y=3	$y^{2} - 3 x = 1$ , $x - y = 3$
61857	Find the Area Between the Curves	y^2-2x=2 , x-y=3	$y^{2} - 2 x = 2$ , $x - y = 3$
61858	Find the Area Between the Curves	x=y^2-8y , x=3y-y^2	$x = y^{2} - 8 y$ , $x = 3 y - y^{2}$
61859	Find the Area Between the Curves	x=y^2 , x-y=30	$x = y^{2}$ , $x - y = 30$
61860	Find the Area Between the Curves	y = square root of 4-x^2 , y=0	$y = \sqrt{4 - x^{2}}$ , $y = 0$
61861	Find the Area Between the Curves	y=(x-2)^2 , y=x	$y = {(x - 2)}^{2}$ , $y = x$
61862	Find the Area Between the Curves	y=1/2x^3+4x^2+3y=6x^2-1/2x+3	$y = \frac{1}{2} x^{3} + 4 x^{2} + 3 y = 6 x^{2} - \frac{1}{2} x + 3$
61863	Find the Area Between the Curves	y=e^x , y=-2x^2-7x	$y = e^{x}$ , $y = - 2 x^{2} - 7 x$
61864	Find the Area Between the Curves	y=-e^x ; y=0 ; -2<=x<=1	$y = - e^{x}$ ; $y = 0$ ; $- 2 \leq x \leq 1$
61865	Find the Area Between the Curves	y=9x , y=x^2	$y = 9 x$ , $y = x^{2}$
61866	Find the Area Between the Curves	y=8x^2 , y^2=1/8x	$y = 8 x^{2}$ , $y^{2} = \frac{1}{8} x$
61867	Find the Area Between the Curves	y=6x+x^2-x^3 , y=0	$y = 6 x + x^{2} - x^{3}$ , $y = 0$
61868	Find the Area Between the Curves	y=4-x^2 , y=4-4x	$y = 4 - x^{2}$ , $y = 4 - 4 x$
61869	Find the Area Between the Curves	x=-2 , x=3 , y=2x^2+12 , y=0	$x = - 2$ , $x = 3$ , $y = 2 x^{2} + 12$ , $y = 0$
61870	Find the Area Between the Curves	y=x^2-4x , y=-x^2+6x	$y = x^{2} - 4 x$ , $y = - x^{2} + 6 x$
61871	Find the Area Between the Curves	y=x^2-3y=x^2-3x	$y = x^{2} - 3 y = x^{2} - 3 x$
61872	Find the Area Between the Curves	y=x^2-4 , y=2	$y = x^{2} - 4$ , $y = 2$
61873	Find the Area Between the Curves	y=-x^2-3x , -4<=x<=3	$y = - x^{2} - 3 x$ , $- 4 \leq x \leq 3$
61874	Find the Area Between the Curves	y=-x^2-3x , -5<=x<=3	$y = - x^{2} - 3 x$ , $- 5 \leq x \leq 3$
61875	Find the Area Between the Curves	y=x^2-30 , y=10-3x	$y = x^{2} - 30$ , $y = 10 - 3 x$
61876	Find the Area Between the Curves	y=x^2-2x , y=6x-x^2	$y = x^{2} - 2 x$ , $y = 6 x - x^{2}$
61877	Find the Area Between the Curves	y=x^2 , y=5x	$y = x^{2}$ , $y = 5 x$
61878	Find the Area Between the Curves	y=x^2-2x , y=-x^2+2x	$y = x^{2} - 2 x$ , $y = - x^{2} + 2 x$
61879	Find the Area Between the Curves	y=x^2-22 , y=13-2x	$y = x^{2} - 22$ , $y = 13 - 2 x$
61880	Find the Area Between the Curves	y=x^2-23 , y=9-4x	$y = x^{2} - 23$ , $y = 9 - 4 x$
61881	Find the Area Between the Curves	y=x^2-13 , y=11-5x	$y = x^{2} - 13$ , $y = 11 - 5 x$
61882	Find the Area Between the Curves	y=x^2-25 ; y=0 ; -3<=x<=0	$y = x^{2} - 25$ ; $y = 0$ ; $- 3 \leq x \leq 0$
61883	Find the Area Between the Curves	y=x^2-15 , y=13-3x	$y = x^{2} - 15$ , $y = 13 - 3 x$
61884	Find the Area Between the Curves	y=x^2-10 , y=8-3x	$y = x^{2} - 10$ , $y = 8 - 3 x$
61885	Find the Domain and Range	y=x^2-4x+4	$y = x^{2} - 4 x + 4$
61886	Find the Domain and Range	y=x^3+3x^2	$y = x^{3} + 3 x^{2}$
61887	Find the Domain and Range	y = square root of 1-x^2	$y = \sqrt{1 - x^{2}}$
61888	Find the Area Between the Curves	y=x^2-8x-42 , y=-x^2	$y = x^{2} - 8 x - 42$ , $y = - x^{2}$
61889	Find the Area Between the Curves	y=x^6 , y=x	$y = x^{6}$ , $y = x$
61890	Find the Domain and Range	(x^2)/16-(y^2)/9=1	$\frac{x^{2}}{16} - \frac{y^{2}}{9} = 1$
61891	Find the Domain and Range	(x^2)/169+(y^2)/25=1	$\frac{x^{2}}{169} + \frac{y^{2}}{25} = 1$
61892	Find the Second Derivative	y=6x^3+9x^2	$y = 6 x^{3} + 9 x^{2}$
61893	Find the Second Derivative	2-8xy=9x-5y	$2 - 8 x y = 9 x - 5 y$
61894	Find the Fourth Derivative	y=x^5	$y = x^{5}$
61895	Find the Second Derivative	x^2+5y^2=5	$x^{2} + 5 y^{2} = 5$
61896	Find the Second Derivative	x^3+y^3=9	$x^{3} + y^{3} = 9$
61897	Find the Second Derivative	f(x,y)=10x^2y^4-7x^3y^5	$f (x, y) = 10 x^{2} y^{4} - 7 x^{3} y^{5}$
61898	Find the Second Derivative	w=11z^2e^z	$w = 11 z^{2} e^{z}$
61899	Find the Second Derivative	y=1/(x^2)	$y = \frac{1}{x^{2}}$
61900	Find the Second Derivative	y=55/3 x^3-x^2-21x-3	$y = \frac{55}{3}$ $x^{3} - x^{2} - 21 x - 3$