Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
53201	Find the Domain and Range	4x+5y=20	$4 x + 5 y = 20$
53202	Find the Domain and Range	y=2/(x-4)	$y = \frac{2}{x - 4}$
53203	Find the Domain and Range	y=(25x)/(x-25)	$y = \frac{25 x}{x - 25}$
53204	Find the Domain and Range	y = cube root of x-4	$y = \sqrt[3]{x} - 4$
53205	Find the Domain and Range	y=\|x-1\|	$y = \| x - 1 \|$
53206	Find the Domain and Range	y=2csc(x)	$y = 2 \csc (x)$
53207	Find the Domain and Range	y=2sec(X)	$y = 2 \sec (X)$
53208	Find the Domain and Range	y=3x^(1/4)	$y = 3 x^{\frac{1}{4}}$
53209	Find the Domain and Range	y=sin(8x)	$y = \sin (8 x)$
53210	Find the Domain and Range	y=-x^2+4	$y = - x^{2} + 4$
53211	Find the Domain and Range	y=-x^2+4x-3	$y = - x^{2} + 4 x - 3$
53212	Find the Domain and Range	y-2=(x-3)^2	$y - 2 = {(x - 3)}^{2}$
53213	Find the Area Between the Curves	2x+y^2=48 , x=y	$2 x + y^{2} = 48$ , $x = y$
53214	Find the Area Between the Curves	3x+y^2=10 , x=3y	$3 x + y^{2} = 10$ , $x = 3 y$
53215	Find the Area Between the Curves	r=13cos(theta) , r=6+cos(theta)	$r = 13 \cos (θ)$ , $r = 6 + \cos (θ)$
53216	Find the Area Between the Curves	r=1-sin(theta) , r=2+sin(theta)	$r = 1 - \sin (θ)$ , $r = 2 + \sin (θ)$
53217	Find the Area Between the Curves	x=20-5y^2 , x=5y^2-20	$x = 20 - 5 y^{2}$ , $x = 5 y^{2} - 20$
53218	Find the Area Between the Curves	x=28-7y^2 , x=7y^2-28	$x = 28 - 7 y^{2}$ , $x = 7 y^{2} - 28$
53219	Find the Area Between the Curves	x=2y^2 , x=0 , y=2	$x = 2 y^{2}$ , $x = 0$ , $y = 2$
53220	Find the Area Between the Curves	x=3y^2 , x=3	$x = 3 y^{2}$ , $x = 3$
53221	Find the Area Between the Curves	x=3y^2 , x=1+2y^2	$x = 3 y^{2}$ , $x = 1 + 2 y^{2}$
53222	Find the Area Between the Curves	x=4 , x=-4 , y=- square root of 16-x^2 , y = square root of 16-x^2	$x = 4$ , $x = - 4$ , $y = - \sqrt{16 - x^{2}}$ , $y = \sqrt{16 - x^{2}}$
53223	Find the Area Between the Curves	x=8y^2 , x=16+4y^2	$x = 8 y^{2}$ , $x = 16 + 4 y^{2}$
53224	Find the Area Between the Curves	y^2-5x=4 , x-y=2	$y^{2} - 5 x = 4$ , $x - y = 2$
53225	Find the Area Between the Curves	y=1/4x^2 , y=5-x^2	$y = \frac{1}{4} x^{2}$ , $y = 5 - x^{2}$
53226	Find the Area Between the Curves	y=1/x ; x=1 ; y=1/2 ; x=0	$y = \frac{1}{x}$ ; $x = 1$ ; $y = \frac{1}{2}$ ; $x = 0$
53227	Find the Area Between the Curves	y=1/x , y=1/(x^2) , x=2	$y = \frac{1}{x}$ , $y = \frac{1}{x^{2}}$ , $x = 2$
53228	Find the Area Between the Curves	y=4/9x^2 , y=13/9-x^2	$y = \frac{4}{9} x^{2}$ , $y = \frac{13}{9} - x^{2}$
53229	Find the Area Between the Curves	y = square root of x , y=1/2x , x=9	$y = \sqrt{x}$ , $y = \frac{1}{2} x$ , $x = 9$
53230	Find the Area Between the Curves	y=12288 square root of x , y=192x^2	$y = 12288 \sqrt{x}$ , $y = 192 x^{2}$
53231	Find the Area Between the Curves	y=16-x^2 , y=0 , x=-1 , x=3	$y = 16 - x^{2}$ , $y = 0$ , $x = - 1$ , $x = 3$
53232	Find the Area Between the Curves	y=2x , y=5x^2	$y = 2 x$ , $y = 5 x^{2}$
53233	Find the Area Between the Curves	y=3x , y=x^2-4	$y = 3 x$ , $y = x^{2} - 4$
53234	Find the Area Between the Curves	y=4096 square root of x , y=64x^2	$y = 4096 \sqrt{x}$ , $y = 64 x^{2}$
53235	Find the Area Between the Curves	y=4-x^2 , y=14-7x	$y = 4 - x^{2}$ , $y = 14 - 7 x$
53236	Find the Area Between the Curves	y=6-x , x=((y-6)^2)/10	$y = 6 - x$ , $x = \frac{{(y - 6)}^{2}}{10}$
53237	Find the Area Between the Curves	y=6x^2 , y=6 square root of x	$y = 6 x^{2}$ , $y = 6 \sqrt{x}$
53238	Find the Area Between the Curves	y=7-2x^2 , y=x^2+4	$y = 7 - 2 x^{2}$ , $y = x^{2} + 4$
53239	Find the Area Between the Curves	y=7x^2 , y^2=1/7x	$y = 7 x^{2}$ , $y^{2} = \frac{1}{7} x$
53240	Find the Area Between the Curves	y=7x^2 , y=7 square root of x	$y = 7 x^{2}$ , $y = 7 \sqrt{x}$
53241	Find the Area Between the Curves	y=8x , y=x^2-9	$y = 8 x$ , $y = x^{2} - 9$
53242	Find the Area Between the Curves	y=8-x^2 , y=x^2	$y = 8 - x^{2}$ , $y = x^{2}$
53243	Find the Area Between the Curves	y=9x-x^2 , y=2x	$y = 9 x - x^{2}$ , $y = 2 x$
53244	Find the Area Between the Curves	y=e^(2x) , y=e^(5x) , x=1	$y = e^{2 x}$ , $y = e^{5 x}$ , $x = 1$
53245	Find the Area Between the Curves	y=e^x , y=e^(-2x)	$y = e^{x}$ , $y = e^{- 2 x}$
53246	Find the Area Between the Curves	y=e^(-x)sin(x) , y=-e^(-x)sin(x) , x>=0 , x<=pi	$y = e^{- x} \sin (x)$ , $y = - e^{- x} \sin (x)$ , $x \geq 0$ , $x \leq π$
53247	Find the Area Between the Curves	y=x^2 , y=6+5x	$y = x^{2}$ , $y = 6 + 5 x$
53248	Find the Area Between the Curves	y=x^2 , y=(x-4)^2	$y = x^{2}$ , $y = {(x - 4)}^{2}$
53249	Find the Area Between the Curves	y=x^2+2 , y=3x	$y = x^{2} + 2$ , $y = 3 x$
53250	Find the Area Between the Curves	y=x^2+3x , y=-x	$y = x^{2} + 3 x$ , $y = - x$
53251	Find the Area Between the Curves	y=x^2+6x+6 , y=2-x^2	$y = x^{2} + 6 x + 6$ , $y = 2 - x^{2}$
53252	Find the Area Between the Curves	y=-x^2-3x , -6<=x<=2	$y = - x^{2} - 3 x$ , $- 6 \leq x \leq 2$
53253	Find the Area Between the Curves	y=x^3 , 0<=x<=4	$y = x^{3}$ , $0 \leq x \leq 4$
53254	Find the Area Between the Curves	y=x^3 , y=x^2-1	$y = x^{3}$ , $y = x^{2} - 1$
53255	Find the Area Between the Curves	y=x^4 , y=8x	$y = x^{4}$ , $y = 8 x$
53256	Identify the Polar Equation	r=7sin(theta)	$r = 7 \sin (θ)$
53257	Identify the Polar Equation	theta=pi/3	$θ = \frac{π}{3}$
53258	Identify the Polar Equation	r=theta	$r = θ$
53259	Identify the Polar Equation	r=2-2cos(theta)	$r = 2 - 2 \cos (θ)$
53260	Identify the Polar Equation	r=3+2cos(theta)	$r = 3 + 2 \cos (θ)$
53261	Identify the Polar Equation	r=3+5sin(theta)	$r = 3 + 5 \sin (θ)$
53262	Identify the Polar Equation	r=4-4cos(theta)	$r = 4 - 4 \cos (θ)$
53263	Identify the Polar Equation	r=-4cos(theta)	$r = - 4 \cos (θ)$
53264	Identify the Polar Equation	r=9cos(theta)	$r = 9 \cos (θ)$
53265	Identify the Polar Equation	r=cos(2theta)	$r = \cos (2 θ)$
53266	Identify the Polar Equation	r=sin(2theta)	$r = \sin (2 θ)$
53267	Find the Equation Given the Roots	1-7i	$1 - 7 i$
53268	Find the Slope and y-intercept	10x-5y=3	$10 x - 5 y = 3$
53269	Find the Slope and y-intercept	2x+y-3=0	$2 x + y - 3 = 0$
53270	Find the Slope and y-intercept	4y=-7x	$4 y = - 7 x$
53271	Find the Slope and y-intercept	y=4/5x-2	$y = \frac{4}{5} x - 2$
53272	Find the Slope and y-intercept	y=-6x+7	$y = - 6 x + 7$
53273	Find the Slope and y-intercept	2x-3y=15	$2 x - 3 y = 15$
53274	Find the Slope and y-intercept	3x-2y=10	$3 x - 2 y = 10$
53275	Find the Slope and y-intercept	x+7y=-7	$x + 7 y = - 7$
53276	Find the Slope and y-intercept	y=-2/5x+7	$y = - \frac{2}{5} x + 7$
53277	Find the Slope and y-intercept	y=3/5x+2	$y = \frac{3}{5} x + 2$
53278	Find the Slope and y-intercept	y=4/3x-1	$y = \frac{4}{3} x - 1$
53279	Find the Slope and y-intercept	y=5x+10	$y = 5 x + 10$
53280	Find the Slope and y-intercept	y-8x=10	$y - 8 x = 10$
53281	Find the Derivative Using Chain Rule - d/da	d/(dx)((ax-2)/(x^3-a))	$\frac{d}{d x} (\frac{a x - 2}{x^{3} - a})$
53282	Find the Derivative Using Chain Rule - d/da	e^(ax)cos(-bx)	$e^{a x} \cos (- b x)$
53283	Find the Derivative Using Chain Rule - d/db	e^(ax)cos(-bx)	$e^{a x} \cos (- b x)$
53284	Find the Derivative Using Chain Rule - d/db	y=bcos(t)+t^2sin(t)	$y = b \cos (t) + t^{2} \sin (t)$
53285	Find the Derivative Using Chain Rule - d/dC	C=0.001x^3+9x+250	$C = 0.001 x^{3} + 9 x + 250$
53286	Find the Derivative Using Chain Rule - d/dC	Cx(1-e^(-kx))	$C x (1 - e^{- k x})$
53287	Find the Derivative Using Chain Rule - d/dd	d/(dt)\|v(t)\|=1/2(8t^2-64t+272)^(-1/2)(16t-64)	$\frac{d}{d t} \| v (t) \| = \frac{1}{2} {(8 t^{2} - 64 t + 272)}^{\frac{- 1}{2}} (16 t - 64)$
53288	Find the Derivative Using Chain Rule - d/dd	d/(du)(6u^0.7-5u^2.9)	$\frac{d}{d u} (6 u^{0.7} - 5 u^{2.9})$
53289	Find the Derivative Using Chain Rule - d/dd	d/(dx)(8 natural log of 5x)	$\frac{d}{d x} (8 \ln (5 x))$
53290	Find the Derivative Using Chain Rule - d/dd	(d^102)/(dx^102)(sin(x))	$\frac{d^{102}}{d x^{102}} (\sin (x))$
53291	Find the Derivative Using Chain Rule - d/dd	(d^106)/(dx^106)(sin(x))	$\frac{d^{106}}{d x^{106}} (\sin (x))$
53292	Find the Derivative Using Chain Rule - d/dd	(d^110)/(dx^110)(sin(x))	$\frac{d^{110}}{d x^{110}} (\sin (x))$
53293	Find the Derivative Using Chain Rule - d/dd	(d^90)/(dx^90)(sin(x))	$\frac{d^{90}}{d x^{90}} (\sin (x))$
53294	Find the Derivative Using Chain Rule - d/dd	(d^903)/(dx^903)(sin(x))	$\frac{d^{903}}{d x^{903}} (\sin (x))$
53295	Find the Derivative Using Chain Rule - d/dd	(d^98)/(dx^98)(sin(x))	$\frac{d^{98}}{d x^{98}} (\sin (x))$
53296	Find the Derivative Using Chain Rule - d/dd	(dy)/(dx)=yx^2cos(x)	$\frac{d y}{d x} = y x^{2} \cos (x)$
53297	Find the Derivative Using Chain Rule - d/dD	D_theta((sec(theta)+tan(theta))^-2)	$D_{θ} ({(\sec (θ) + \tan (θ))}^{- 2})$
53298	Find the Derivative Using Chain Rule - d/dd	fx^2(x^3-1)^10dx	$f x^{2} {(x^{3} - 1)}^{10} d x$
53299	Find the Derivative Using Chain Rule - d/df	fx^2(x^3-1)^10dx	$f x^{2} {(x^{3} - 1)}^{10} d x$
53300	Find the Derivative Using Chain Rule - d/dI	(I(x))^n	${(I (x))}^{n}$