Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
48601	Find the Domain	24x^3	$24 x^{3}$
48602	Find the Domain	(x^4)/(x^2+x-72)	$\frac{x^{4}}{x^{2} + x - 72}$
48603	Find the Domain	5/(5/x)	$\frac{5}{\frac{5}{x}}$
48604	Find the Domain	1/( square root of 1-x)	$\frac{1}{\sqrt{1 - x}}$
48605	Find the Domain	natural log of e^x-7	$\ln (e^{x} - 7)$
48606	Find the Domain	natural log of e^x-2	$\ln (e^{x} - 2)$
48607	Find the Domain	square root of 9-x^2-y^2	$\sqrt{9 - x^{2} - y^{2}}$
48608	Find the Domain	(25x)/(x-25)	$\frac{25 x}{x - 25}$
48609	Find the Domain	natural log of square root of x-1	$\ln (\sqrt{x} - 1)$
48610	Find the Domain	15x-1	$15 x - 1$
48611	Find the Domain	1/(x-9)	$\frac{1}{x - 9}$
48612	Find the Domain	1/(( square root of 1-4x)^2)	$\frac{1}{{(\sqrt{1 - 4 x})}^{2}}$
48613	Find the Domain	1/( square root of x^2-8x)	$\frac{1}{\sqrt{x^{2} - 8 x}}$
48614	Find the Domain	natural log of e^x-6	$\ln (e^{x} - 6)$
48615	Find the Domain	(x^2+9)(81-x^2)	$(x^{2} + 9) (81 - x^{2})$
48616	Find the Domain	square root of 3-5x	$\sqrt{3 - 5 x}$
48617	Find the Domain	13x-1	$13 x - 1$
48618	Find the Domain	square root of x^2+5x+6	$\sqrt{x^{2} + 5 x + 6}$
48619	Find the Domain	-21/((4+t)^2)	$- \frac{21}{{(4 + t)}^{2}}$
48620	Find the Domain	(x-2)/(x^2-5x+6)	$\frac{x - 2}{x^{2} - 5 x + 6}$
48621	Find the Domain	17/((4x-1)^2)	$\frac{17}{{(4 x - 1)}^{2}}$
48622	Find the Domain	19x-1	$19 x - 1$
48623	Find the Domain	( square root of x-1)/((x+2)(x-7))	$\frac{\sqrt{x - 1}}{(x + 2) (x - 7)}$
48624	Find the Vertical Line Through the Point	(-2,8)	$(- 2, 8)$
48625	Find the Slope of a Parallel Line	5x-2y=8	$5 x - 2 y = 8$
48626	Find the Slope of a Parallel Line	x+3y=5	$x + 3 y = 5$
48627	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (2^x)/(x^2)	$lim_{x \to \infty} \frac{2^{x}}{x^{2}}$
48628	Evaluate Using L'Hospital's Rule	limit as x approaches 6 of ( square root of x+10-4)/(x-6)	$lim_{x \to 6} \frac{\sqrt{x + 10} - 4}{x - 6}$
48629	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (sin(5x))/(2x)	$lim_{x \to 0} \frac{\sin (5 x)}{2 x}$
48630	Evaluate Using L'Hospital's Rule	limit as x approaches 1 of (x^2+x-2)/(x-1)	$lim_{x \to 1} \frac{x^{2} + x - 2}{x - 1}$
48631	Evaluate Using L'Hospital's Rule	limit as x approaches 1 of (sin(1-x^2))/(x-1)	$lim_{x \to 1} \frac{\sin (1 - x^{2})}{x - 1}$
48632	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (arcsin(x))/x	$lim_{x \to 0} \frac{\arcsin (x)}{x}$
48633	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of x^3e^(-x/5)	$lim_{x \to \infty} x^{3} e^{- \frac{x}{5}}$
48634	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of square root of 36x^2+x-6x	$lim_{x \to \infty} \sqrt{36 x^{2} + x} - 6 x$
48635	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (arcsin(9x))/x	$lim_{x \to 0} \frac{\arcsin (9 x)}{x}$
48636	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (1-e^x)/(1+5e^x)	$lim_{x \to \infty} \frac{1 - e^{x}}{1 + 5 e^{x}}$
48637	Evaluate Using L'Hospital's Rule	limit as x approaches negative infinity of x^4e^x	$lim_{x \to - \infty} x^{4} e^{x}$
48638	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of x/( natural log of x)	$lim_{x \to 0} \frac{x}{\ln (x)}$
48639	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (x^5+4x^3-8)/(7x^5-3x^2-1)	$lim_{x \to \infty} \frac{x^{5} + 4 x^{3} - 8}{7 x^{5} - 3 x^{2} - 1}$
48640	Evaluate Using L'Hospital's Rule	limit as x approaches 1 of (x^3-2x^2+1)/(x^3-1)	$lim_{x \to 1} \frac{x^{3} - 2 x^{2} + 1}{x^{3} - 1}$
48641	Write as a Function of y	y = natural log of x	$y = \ln (x)$
48642	Write as a Function of y	9x^2+16y^2=144	$9 x^{2} + 16 y^{2} = 144$
48643	Write as a Function of y	x^2+y=49	$x^{2} + y = 49$
48644	Write as a Function of y	2x+y^2=8	$2 x + y^{2} = 8$
48645	Write as a Function of p	p(x)=11000-10x	$p (x) = 11000 - 10 x$
48646	Write as a Function of P	P(7)=(104(7))/((7)*9x+5)	$P (7) = \frac{104 (7)}{(7) \cdot 9 x + 5}$
48647	Write as a Function of p	x=5000-50p	$x = 5000 - 50 p$
48648	Write as a Function of x	9x^2+16y^2=144	$9 x^{2} + 16 y^{2} = 144$
48649	Write as a Function of x	x=5000-50p	$x = 5000 - 50 p$
48650	Subtract	5x+6-3x^2-4x+8	$5 x + 6 - 3 x^{2} - 4 x + 8$
48651	Convert Degrees, Minutes, Seconds to Decimal Degrees	125 degrees 25'50''	$125 ° 25' 50''$
48652	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (e^x-1)/(sin(12x))	$lim_{x \to 0} \frac{e^{x} - 1}{\sin (12 x)}$
48653	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of ((13x)/(13x+8))^(9x)	$lim_{x \to \infty} {(\frac{13 x}{13 x + 8})}^{9 x}$
48654	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (sin(2x))/(tan(3x))	$lim_{x \to 0} \frac{\sin (2 x)}{\tan (3 x)}$
48655	Evaluate Using L'Hospital's Rule	limit as h approaches 0 of ( fourth root of 16+h-2)/h	$lim_{h \to 0} \frac{\sqrt[4]{16 + h} - 2}{h}$
48656	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (11x^2-2x+8)/(2-x)	$lim_{x \to \infty} \frac{11 x^{2} - 2 x + 8}{2 - x}$
48657	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (sin(6x))/(sin(8x))	$lim_{x \to 0} \frac{\sin (6 x)}{\sin (8 x)}$
48658	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (sin(4x))/(tan(7x))	$lim_{x \to 0} \frac{\sin (4 x)}{\tan (7 x)}$
48659	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of ( natural log of x)/( cube root of x)	$lim_{x \to \infty} \frac{\ln (x)}{\sqrt[3]{x}}$
48660	Evaluate Using L'Hospital's Rule	limit as x approaches 8 of (x^2-2x-48)/(x-8)	$lim_{x \to 8} \frac{x^{2} - 2 x - 48}{x - 8}$
48661	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of sin(5x)csc(9x)	$lim_{x \to 0} \sin (5 x) \csc (9 x)$
48662	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of arctan(x^7-x^9)	$lim_{x \to \infty} \arctan (x^{7} - x^{9})$
48663	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of x/(arctan(7x))	$lim_{x \to 0} \frac{x}{\tan^{-1} (7 x)}$
48664	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of xsin((2pi)/x)	$lim_{x \to \infty} x \sin (\frac{2 π}{x})$
48665	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of xsin(8/x)	$lim_{x \to \infty} x \sin (\frac{8}{x})$
48666	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of cot(4x)sin(8x)	$lim_{x \to 0} \cot (4 x) \sin (8 x)$
48667	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of 7xsin(8/x)	$lim_{x \to \infty} 7 x \sin (\frac{8}{x})$
48668	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of x^(5/x)	$lim_{x \to \infty} x^{\frac{5}{x}}$
48669	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (1+5e^x)^(1/x)	$lim_{x \to \infty} {(1 + 5 e^{x})}^{\frac{1}{x}}$
48670	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (7-e^x)/(7+8e^x)	$lim_{x \to \infty} \frac{7 - e^{x}}{7 + 8 e^{x}}$
48671	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of sin(9x)csc(5x)	$lim_{x \to 0} \sin (9 x) \csc (5 x)$
48672	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of ( natural log of 4+x- natural log of 4)/x	$lim_{x \to 0} \frac{\ln (4 + x) - \ln (4)}{x}$
48673	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of sin(5x)csc(3x)	$lim_{x \to 0} \sin (5 x) \csc (3 x)$
48674	Evaluate Using L'Hospital's Rule	limit as x approaches 1 of ( log of x)/(7x^2+5x-12)	$lim_{x \to 1} \frac{\log (x)}{7 x^{2} + 5 x - 12}$
48675	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (e^(5x))/(x^3)	$lim_{x \to \infty} \frac{e^{5 x}}{x^{3}}$
48676	Evaluate Using L'Hospital's Rule	limit as x approaches 1 of (1-x+ natural log of x)/(1+cos(9pix))	$lim_{x \to 1} \frac{1 - x + \ln (x)}{1 + \cos (9 π x)}$
48677	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (cos(x)-1)/(x^2)	$lim_{x \to 0} \frac{\cos (x) - 1}{x^{2}}$
48678	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (x+x^2)/(1-2x^2)	$lim_{x \to \infty} \frac{x + x^{2}}{1 - 2 x^{2}}$
48679	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of ((5x-3)/(5x+4))^(5x+1)	$lim_{x \to \infty} {(\frac{5 x - 3}{5 x + 4})}^{5 x + 1}$
48680	Evaluate Using L'Hospital's Rule	limit as t approaches 0 of (tan(6t))/(sin(2t))	$lim_{t \to 0} \frac{\tan (6 t)}{\sin (2 t)}$
48681	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (x^5)/(e^(4x))	$lim_{x \to \infty} \frac{x^{5}}{e^{4 x}}$
48682	Evaluate Using L'Hospital's Rule	limit as t approaches 0 of (8^t-5^t)/t	$lim_{t \to 0} \frac{8^{t} - 5^{t}}{t}$
48683	Evaluate Using L'Hospital's Rule	limit as x approaches negative infinity of x^2e^(-x)	$lim_{x \to - \infty} x^{2} e^{- x}$
48684	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (5x^2+3x-1)/(4x^2+5)	$lim_{x \to \infty} \frac{5 x^{2} + 3 x - 1}{4 x^{2} + 5}$
48685	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (e^x-1)/(sin(3x))	$lim_{x \to 0} \frac{e^{x} - 1}{\sin (3 x)}$
48686	Find the Function	f'(x)=xe^(-x^2)	$f' (x) = x e^{- x^{2}}$
48687	Find the Function	f'(x)=1/( square root of x)	$f' (x) = \frac{1}{\sqrt{x}}$
48688	Find the Function	f'(x)=-8f(x)	$f' (x) = - 8 f (x)$
48689	Find the Volume	x=y^(1/3) , x=0 , y=8	$x = y^{\frac{1}{3}}$ , $x = 0$ , $y = 8$
48690	Find the Volume	y=6-6x^2 , y=0	$y = 6 - 6 x^{2}$ , $y = 0$
48691	Find the Volume	y=x^2 , y=9 , x=0	$y = x^{2}$ , $y = 9$ , $x = 0$
48692	Find the Volume	x+y=3 , x=4-(y-1)^2	$x + y = 3$ , $x = 4 - {(y - 1)}^{2}$
48693	Find the Volume	x=2 square root of 5y , x=0 , y=3	$x = 2 \sqrt{5 y}$ , $x = 0$ , $y = 3$
48694	Find the Volume	x=2 square root of 7y , x=0 , y=3	$x = 2 \sqrt{7 y}$ , $x = 0$ , $y = 3$
48695	Find the Volume	x=y^2 , x=2y	$x = y^{2}$ , $x = 2 y$
48696	Find the Volume	y=(x^2)/4 , x=3 , y=0	$y = \frac{x^{2}}{4}$ , $x = 3$ , $y = 0$
48697	Find the Volume	y = square root of x-1 , y=0 , x=7	$y = \sqrt{x - 1}$ , $y = 0$ , $x = 7$
48698	Find the Volume	y=2x^2 , y=12x-4x^2	$y = 2 x^{2}$ , $y = 12 x - 4 x^{2}$
48699	Find the Volume	y=3x^2 , y=0 , x=1	$y = 3 x^{2}$ , $y = 0$ , $x = 1$
48700	Find the Volume	y=4x , y=4 , x=0	$y = 4 x$ , $y = 4$ , $x = 0$