Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
64601	Evaluate the Summation	sum from n=1 to 200 of 3n	$\sum_{n = 1}^{200} 3 n$
64602	Evaluate the Summation	sum from n=1 to 240 of -3n-1	$\sum_{n = 1}^{240} - 3 n - 1$
64603	Evaluate the Summation	sum from n=1 to 15 of 2+7n	$\sum_{n = 1}^{15} 2 + 7 n$
64604	Evaluate the Summation	sum from x=1 to 5 of (1/2)^x	$\sum_{x = 1}^{5} {(\frac{1}{2})}^{x}$
64605	Evaluate the Summation	sum from x=1 to 8 of 2^(x-1)	$\sum_{x = 1}^{8} 2^{x - 1}$
64606	Find the Third Derivative	f(x)=1/(x^10)	$f (x) = \frac{1}{x^{10}}$
64607	Find the Horizontal Tangent Line	y=x^4-2x^2+3	$y = x^{4} - 2 x^{2} + 3$
64608	Find the Maximum/Minimum Value	y=2cos(3theta)	$y = 2 \cos (3 θ)$
64609	Find the Derivative Using Quotient Rule - d/dx	y=((x+3)(x+1))/((x-3)(x-1))	$y = \frac{(x + 3) (x + 1)}{(x - 3) (x - 1)}$
64610	Find the Derivative Using Quotient Rule - d/dx	y=(6x-5)^2(3-x^5)^2	$y = {(6 x - 5)}^{2} {(3 - x^{5})}^{2}$
64611	Find the Domain	g(x) = square root of 4+3x	$g (x) = \sqrt{4 + 3 x}$
64612	Evaluate from the Right	limit as x approaches 7 of (\|x-7\|)/(x-7)	$lim_{x \to 7} \frac{\| x - 7 \|}{x - 7}$
64613	Apply the Quadratic Formula	12x^2-180x+464	$12 x^{2} - 180 x + 464$
64614	Convert to Polar Coordinates	P=(6,-pi/5)	$P = (6, - \frac{π}{5})$
64615	Divide	240/6	$\frac{240}{6}$
64616	Divide	2/8	$\frac{2}{8}$
64617	Divide	125/4	$\frac{125}{4}$
64618	Divide	12/9	$\frac{12}{9}$
64619	Divide	(x^2-3x^x+2x-1)/(x^2-4x+4)	$\frac{(x^{2} - 3 x^{x} + 2 x - 1)}{x^{2} - 4 x + 4}$
64620	Divide	9÷20	$9 \div 20$
64621	Divide	6÷9	$6 \div 9$
64622	Divide	60÷12	$60 \div 12$
64623	Divide	63÷2	$63 \div 2$
64624	Divide	300÷5	$300 \div 5$
64625	Divide	360÷2	$360 \div 2$
64626	Divide	13÷4	$13 \div 4$
64627	Divide	(9/5)÷3	$\frac{9}{5} \div 3$
64628	Find the Derivative - d/dy	y^(3/2)	$y^{\frac{3}{2}}$
64629	Find the Derivative - d/dz	z=a/(y^9)+be^y	$z = \frac{a}{y^{9}} + b e^{y}$
64630	Find the Derivative - d/dy	(y^4)/16+1/(2y^2)	$\frac{y^{4}}{16} + \frac{1}{2 y^{2}}$
64631	Find the Derivative - d/dy	(y^4)/4	$\frac{y^{4}}{4}$
64632	Find the Derivative - d/dy	sin(2y)	$\sin (2 y)$
64633	Find the Derivative - d/dy	2xy-y^2	$2 x y - y^{2}$
64634	Find the Derivative - d/dy	5sin(y)	$5 \sin (y)$
64635	Find the Derivative - d/dt	(80t^2)/(t^2+150)	$\frac{80 t^{2}}{t^{2} + 150}$
64636	Find the Derivative - d/dt	(5t^2-4t)^2	${(5 t^{2} - 4 t)}^{2}$
64637	Find the Derivative - d/dt	-1/3t^3+2t+12t+26	$- \frac{1}{3} t^{3} + 2 t + 12 t + 26$
64638	Find the Derivative - d/dt	(500t)/(2t^2+9)	$\frac{500 t}{2 t^{2} + 9}$
64639	Find the Derivative - d/dt	(t^6-13t^4+12)/(10t^3+3)	$\frac{t^{6} - 13 t^{4} + 12}{10 t^{3} + 3}$
64640	Find the Derivative - d/dt	square root of t/(t^2+1)	$\sqrt{\frac{t}{t^{2} + 1}}$
64641	Find the Derivative - d/dt	(1-2t)/(4+t)	$\frac{1 - 2 t}{4 + t}$
64642	Find the Derivative - d/dt	(1-3t)/(5+t)	$\frac{1 - 3 t}{5 + t}$
64643	Find the Derivative - d/dt	25/(t^2)-5/t	$\frac{25}{t^{2}} - \frac{5}{t}$
64644	Find the Derivative - d/dt	(cos(t))/t	$\frac{(\cos (t))}{t}$
64645	Find the Derivative - d/dt	t^7e^t	$t^{7} e^{t}$
64646	Find the Derivative - d/dt	u = fifth root of t+4 square root of t^5	$u = \sqrt[5]{t} + 4 \sqrt{t^{5}}$
64647	Find the Derivative - d/dt	y=t^7(t^5-6)^3	$y = t^{7} {(t^{5} - 6)}^{3}$
64648	Find the Derivative - d/dt	sin(7t)^3	$\sin^{3} (7 t)$
64649	Find the Derivative - d/dt	-80(-0.4e^(-0.4t))	$- 80 (- 0.4 e^{- 0.4 t})$
64650	Find the Derivative - d/dt	cos(7t)^3	$\cos^{3} (7 t)$
64651	Find the Derivative - d/dt	e^(8t)	$e^{8 t}$
64652	Find the Derivative - d/dt	3e^t	$3 e^{t}$
64653	Find the Derivative - d/dt	576-16t^2	$576 - 16 t^{2}$
64654	Find the Derivative - d/dt	4tsin(pit)	$4 t \sin (π t)$
64655	Find the Derivative - d/dt	5t^2+10t	$5 t^{2} + 10 t$
64656	Find the Derivative - d/dt	2e^(2t)	$2 e^{2 t}$
64657	Find the Derivative - d/dt	2sin(3t)	$2 \sin (3 t)$
64658	Identify the Sequence	40 , -160 , -360 , -560	$40$ , $- 160$ , $- 360$ , $- 560$
64659	Solve for p	x=6400-32p	$x = 6400 - 32 p$
64660	Solve for k	162.44=11/2(10)^2-8 natural log of \|10\|+k	$162.44 = \frac{11}{2} {(10)}^{2} - 8 \ln (\| 10 \|) + k$
64661	Solve for c	20c^2-4c^2-45c+9=0	$20 c^{2} - 4 c^{2} - 45 c + 9 = 0$
64662	Solve for t	0=-32t	$0 = - 32 t$
64663	Find the Inflection Points	f(x)=(x-9)(x^2-18x-162)	$f (x) = (x - 9) (x^{2} - 18 x - 162)$
64664	Find the Area Under the Curve	y=6-x^2 ; [-1,4]	$y = 6 - x^{2}$ ; $[- 1, 4]$
64665	Find the Asymptotes	f(x)=6tan(pix)	$f (x) = 6 \tan (π x)$
64666	Solve the System of @WORD	x^3<9x	$x^{3} < 9 x$
64667	Find the Asymptotes	(x^2-9x+18)/(x^2-7x+12)	$\frac{x^{2} - 9 x + 18}{x^{2} - 7 x + 12}$
64668	Find @FORMULA	f(x)=5-x^2	$f (x) = 5 - x^{2}$
64669	Expand the Trigonometric Expression	integral from 0 to 1 of (3x^3-x^2+2x-4)/( square root of x^2-3x+2) with respect to x	$\int_{0}^{1} \frac{3 x^{3} - x^{2} + 2 x - 4}{\sqrt{x^{2} - 3 x + 2}} d x$
64670	Evaluate the Function	f(4)=3/(x^2)	$f (4) = \frac{3}{x^{2}}$
64671	Evaluate the Function	f(4)=(x^2-3x-4)/(x-4)	$f (4) = \frac{x^{2} - 3 x - 4}{x - 4}$
64672	Evaluate the Function	f(8.99)=(x^2-9x)/(x^2-x-72)	$f (8.99) = \frac{x^{2} - 9 x}{x^{2} - x - 72}$
64673	Evaluate the Function	l(x)=0.02x^3-0.07x^2+8x , x=14	$l (x) = 0.02 x^{3} - 0.07 x^{2} + 8 x$ , $x = 14$
64674	Find the Second Derivative	4x^(3/2)	$4 x^{\frac{3}{2}}$
64675	Find the Second Derivative	4/x	$\frac{4}{x}$
64676	Find the Fourth Derivative	integral from 0 to 1 of (3x^3-x^2+2x-4)/( square root of x^2-3x+2) with respect to x	$\int_{0}^{1} \frac{3 x^{3} - x^{2} + 2 x - 4}{\sqrt{x^{2} - 3 x + 2}} d x$
64677	Find Where Increasing/Decreasing Using Derivatives	f(x)=3x^4-4x^3-36x^2-10	$f (x) = 3 x^{4} - 4 x^{3} - 36 x^{2} - 10$
64678	Find Where Increasing/Decreasing Using Derivatives	f(x)=20-12x^2+4x^3	$f (x) = 20 - 12 x^{2} + 4 x^{3}$
64679	Find the Inverse	f(x)=1/7x-4	$f (x) = \frac{1}{7} x - 4$
64680	Find Where Undefined/Discontinuous	(x+2)/(x^2-2x-8)	$\frac{x + 2}{x^{2} - 2 x - 8}$
64681	Evaluate Using the Given Value	6.93t^2-22.20t+14.71 , t=6	$6.93 t^{2} - 22.2 t + 14.71$ , $t = 6$
64682	Expand the Logarithmic Expression	natural log of fifth root of ((x^2+1)^3)/(2x+5)	$\ln (\sqrt[5]{\frac{{(x^{2} + 1)}^{3}}{2 x + 5}})$
64683	Find the Local Maxima and Minima	f(x)=2x^4-16x^3	$f (x) = 2 x^{4} - 16 x^{3}$
64684	Find the Local Maxima and Minima	f(x)=(x-9)(x^2-18x-162)	$f (x) = (x - 9) (x^{2} - 18 x - 162)$
64685	Find the Local Maxima and Minima	f(x)=4/3x^3-2x^2	$f (x) = \frac{4}{3} x^{3} - 2 x^{2}$
64686	Find the Local Maxima and Minima	f(x)=6x^6-11x^5	$f (x) = 6 x^{6} - 11 x^{5}$
64687	Find the Local Maxima and Minima	f(x)=4x^4-8x^2+12	$f (x) = 4 x^{4} - 8 x^{2} + 12$
64688	Find the Second Derivative	xy+y^2=1	$x y + y^{2} = 1$
64689	Find the Second Derivative	y=e^(2x^2)	$y = e^{2 x^{2}}$
64690	Find the Second Derivative	y=(5x^4)/4-2x	$y = \frac{5 x^{4}}{4} - 2 x$
64691	Find the Roots (Zeros)	2x^3-3x^2-12x+20	$2 x^{3} - 3 x^{2} - 12 x + 20$
64692	Find the Roots (Zeros)	6x^2+78x+240	$6 x^{2} + 78 x + 240$
64693	Determine if Continuous	f(x)=(x^2-7x+10)/(x^2-4)	$f (x) = \frac{x^{2} - 7 x + 10}{x^{2} - 4}$
64694	Find the Vertical and Horizontal Intercept(s)	f(x)=(x^2)/(x-5)	$f (x) = \frac{x^{2}}{x - 5}$
64695	Find the Maximum/Minimum Value	f(x)=x^2+3x-2	$f (x) = x^{2} + 3 x - 2$
64696	Find the Maximum/Minimum Value	f(x)=2+x-x^2	$f (x) = 2 + x - x^{2}$
64697	Solve by Substitution	2x-3=5y , 4x+3y=71	$2 x - 3 = 5 y$ , $4 x + 3 y = 71$
64698	Find the Second Derivative	f(x)=4x-5x^(3/4)	$f (x) = 4 x - 5 x^{\frac{3}{4}}$
64699	Find the Second Derivative	f(x)=14e^x	$f (x) = 14 e^{x}$
64700	Evaluate the Summation	sum from n=3 to 20 of n(n+1)	$\sum_{n = 3}^{20} n (n + 1)$