Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
64801	Evaluate the Summation	sum from i=1 to n of a_i	$\sum_{i = 1}^{n} a_{i}$
64802	Evaluate the Summation	sum from i=1 to 9 of 4*2^i	$\sum_{i = 1}^{9} 4 \cdot 2^{i}$
64803	Evaluate the Summation	sum from i=1 to 7 of \|3i-10\|	$\sum_{i = 1}^{7} \| 3 i - 10 \|$
64804	Evaluate the Summation	sum from i=2 to 6 of 2^i	$\sum_{i = 2}^{6} 2^{i}$
64805	Evaluate the Summation	sum from i=1 to 7 of i-1	$\sum_{i = 1}^{7} i - 1$
64806	Evaluate the Summation	sum from i=1 to 8 of i^2	$\sum_{i = 1}^{8} i^{2}$
64807	Evaluate the Summation	sum from i=1 to infinity of 2i-3	$\sum_{i = 1}^{\infty} 2 i - 3$
64808	Evaluate the Summation	sum from i=1 to infinity of 5*1.07^i	$\sum_{i = 1}^{\infty} 5 {(1.07)}^{i}$
64809	Evaluate the Summation	sum from i=1 to infinity of 4(1/4)^i	$\sum_{i = 1}^{\infty} 4 {(\frac{1}{4})}^{i}$
64810	Evaluate the Summation	sum from i=1 to 14 of 3i+2	$\sum_{i = 1}^{14} 3 i + 2$
64811	Evaluate the Summation	sum from i=1 to 22 of (i-1)^2	$\sum_{i = 1}^{22} {(i - 1)}^{2}$
64812	Evaluate the Summation	sum from i=1 to 10 of 4(3/4)^(i-1)	$\sum_{i = 1}^{10} 4 {(\frac{3}{4})}^{i - 1}$
64813	Find dz/dx	z=x^2-y^2	$z = x^{2} - y^{2}$
64814	Evaluate the Summation	sum from 11 to 54 of 3n+6	$\sum_{11}^{54} 3 n + 6$
64815	Find dy/dx	y=xe^(2x)	$y = x e^{2 x}$
64816	Find dy/dx	y=x^4 natural log of x-1/2x^2	$y = x^{4} \ln (x) - \frac{1}{2} x^{2}$
64817	Find dy/dx	y=x^(-2cos(x))	$y = x^{- 2 \cos (x)}$
64818	Find dy/dx	y=x^0.2	$y = x^{0.2}$
64819	Find dy/dx	y=e^(6x)+4^(3x)	$y = e^{6 x} + 4^{3 x}$
64820	Find dy/dx	y=e^(8x)cos(x)	$y = e^{8 x} \cos (x)$
64821	Find dy/dx	y=tan(3x^5)	$y = \tan (3 x^{5})$
64822	Find dy/dx	y=arcsin(7x^4)	$y = \arcsin (7 x^{4})$
64823	Find dy/dx	y=arcsin(8x^4)	$y = \sin^{-1} (8 x^{4})$
64824	Find dy/dx	y=arcsin(9x^4)	$y = \sin^{-1} (9 x^{4})$
64825	Find the Slope and y-intercept	x=6y+5	$x = 6 y + 5$
64826	Find the Derivative of the Integral	integral from x^4 to x^5 of (2t-1)^3 with respect to t	$\int_{x^{4}}^{x^{5}} {(2 t - 1)}^{3} d t$
64827	Identify the Sequence	a , -a , a , -a	$a$ , $- a$ , $a$ , $- a$
64828	Find the Derivative of the Integral	integral from 0 to 1 of (3x-x^2+2x-4)/( square root of x^2-3x+2) with respect to x	$\int_{0}^{1} \frac{3 x - x^{2} + 2 x - 4}{\sqrt{x^{2} - 3 x + 2}} d x$
64829	Identify the Sequence	-21 , -24 , -27 , -30	$- 21$ , $- 24$ , $- 27$ , $- 30$
64830	Find the Concavity	f(x)=(x-1)/(x+6)	$f (x) = \frac{x - 1}{x + 6}$
64831	Find the Concavity	f(x)=(x+2)/(x^2-3x-10)	$f (x) = \frac{x + 2}{x^{2} - 3 x - 10}$
64832	Find the Concavity	f(x)=(x+2)/(x^2-5x-14)	$f (x) = \frac{x + 2}{x^{2} - 5 x - 14}$
64833	Find the Domain	f(x)=(x-1)/(5x^2-25x)	$f (x) = \frac{x - 1}{5 x^{2} - 25 x}$
64834	Find the Domain	f(x)=(x^2-1)/(x-1)	$f (x) = \frac{x^{2} - 1}{x - 1}$
64835	Find the Domain	f(x)=x+ square root of x+5	$f (x) = x + \sqrt{x} + 5$
64836	Find the Local Maxima and Minima	y=x^3-x^2-8x+4	$y = x^{3} - x^{2} - 8 x + 4$
64837	Find the Local Maxima and Minima	y=x^4-4x^3+10	$y = x^{4} - 4 x^{3} + 10$
64838	Find the Inverse	square root of 4-x	$\sqrt{4 - x}$
64839	Find the Antiderivative	f(x)=5x^2-x	$f (x) = 5 x^{2} - x$
64840	Find the Derivative - d/dt	2tsin(pit)	$2 t \sin (π t)$
64841	Find the Derivative - d/dt	2cos(3t)	$2 \cos (3 t)$
64842	Find the Derivative - d/dt	2(t^2+5t)^-3	$2 {(t^{2} + 5 t)}^{- 3}$
64843	Find the Derivative - d/dt	20 square root of t	$20 \sqrt{t}$
64844	Find the Derivative - d/dt	5000(1-t/40)^2	$5000 {(1 - \frac{t}{40})}^{2}$
64845	Find the Derivative - d/dt	3sin(2t)	$3 \sin (2 t)$
64846	Find the Derivative - d/dt	3tsin(pit)	$3 t \sin (π t)$
64847	Find the Derivative - d/dt	4cos(5t)	$4 \cos (5 t)$
64848	Find the Derivative - d/dt	4t+2	$4 t + 2$
64849	Find the Derivative - d/dt	e^(-t^6)	$e^{- t^{6}}$
64850	Find the Derivative - d/dt	e^(6t)	$e^{6 t}$
64851	Find the Derivative - d/dt	t^8sin(t)	$t^{8} \sin (t)$
64852	Find the Derivative - d/dt	t^2-6/(t^3)	$t^{2} - \frac{6}{t^{3}}$
64853	Find the Derivative - d/dt	natural log of t^2+3	$\ln (t^{2} + 3)$
64854	Find the Derivative - d/dt	natural log of \|5+t-t^3\|	$\ln (\| 5 + t - t^{3} \|)$
64855	Find the Derivative - d/dt	natural log of 3t	$\ln (3 t)$
64856	Find the Derivative - d/dt	u = cube root of t+6 square root of t^3	$u = \sqrt[3]{t} + 6 \sqrt{t^{3}}$
64857	Find the Derivative - d/dt	y=t^2-9	$y = t^{2} - 9$
64858	Find the Derivative - d/dt	y=t^4(t^6+3)^4	$y = t^{4} {(t^{6} + 3)}^{4}$
64859	Find the Derivative - d/dt	te^(-5t)	$t e^{- 5 t}$
64860	Find the Derivative - d/dt	u = seventh root of t+4 square root of t^7	$u = \sqrt[7]{t} + 4 \sqrt{t^{7}}$
64861	Find the Derivative - d/dt	((t^3)/(t^6+5))^2	${(\frac{t^{3}}{t^{6} + 5})}^{2}$
64862	Find the Derivative - d/dt	(2s-7t)/(s^2+t^2)	$\frac{2 s - 7 t}{s^{2} + t^{2}}$
64863	Find the Derivative - d/dt	(100t)/(t+5)	$\frac{100 t}{t + 5}$
64864	Find the Derivative - d/df	f'(-1)	$f' (- 1)$
64865	Find the Derivative - d/dq	-2q^2+68q-60	$- 2 q^{2} + 68 q - 60$
64866	Find the Derivative - d/dr	y=(r^2-6r)e^r	$y = (r^{2} - 6 r) e^{r}$
64867	Find the Derivative - d/dq	q=9000-100p	$q = 9000 - 100 p$
64868	Find the Derivative - d/dq	y=1/(q+ke^q)	$y = \frac{1}{q + k e^{q}}$
64869	Find the Derivative - d/dt	0.05026t^3	$0.05026 t^{3}$
64870	Find the Derivative - d/dt	1296-16t^2	$1296 - 16 t^{2}$
64871	Find the Derivative - d/dt	12t^2	$12 t^{2}$
64872	Find the Derivative - d/dt	15t^2	$15 t^{2}$
64873	Find the Derivative - d/dt	natural log of t	$\ln (t)$
64874	Find the Derivative - d/dt	-0.2t^2+1.6t+98.3	$- 0.2 t^{2} + 1.6 t + 98.3$
64875	Find the Derivative - d/dt	eighth root of t-8e^t	$\sqrt[8]{t} - 8 e^{t}$
64876	Find the Derivative - d/dt	(500t)/(3t^2+25)	$\frac{500 t}{3 t^{2} + 25}$
64877	Find the Derivative - d/dt	(4t)/(2t+1)	$\frac{4 t}{2 t + 1}$
64878	Find the Derivative - d/dt	(6tan(t))/(7+7sec(t))	$\frac{6 \tan (t)}{7 + 7 \sec (t)}$
64879	Find the Derivative - d/dt	7/(t^3)	$\frac{7}{t^{3}}$
64880	Find the Derivative - d/dt	(88t)/(99t-88)	$\frac{88 t}{99 t - 88}$
64881	Find the Derivative - d/dt	(90t^2)/(t^2+100)	$\frac{90 t^{2}}{t^{2} + 100}$
64882	Find the Derivative - d/da	(2a+1)^2	${(2 a + 1)}^{2}$
64883	Find the Derivative - d/dw	cos(arcsin(5w))	$\cos (\arcsin (5 w))$
64884	Find the Derivative - d/dy	1/(4y)	$\frac{1}{4 y}$
64885	Find the Derivative - d/dy	8y^3	$8 y^{3}$
64886	Find the Derivative - d/dy	5xy	$5 x y$
64887	Find the Derivative - d/dy	natural log of 2y	$\ln (2 y)$
64888	Find the Derivative - d/dy	4xy^2	$4 x y^{2}$
64889	Find the Derivative - d/dy	4xy-x^3-2y^2	$4 x y - x^{3} - 2 y^{2}$
64890	Find the Derivative - d/dy	square root of 12y-y^2	$\sqrt{12 y - y^{2}}$
64891	Find the Derivative - d/dy	(x^4+6y^5)/(x^5+y^6)	$\frac{x^{4} + 6 y^{5}}{x^{5} + y^{6}}$
64892	Find the Derivative - d/dy	ysin(12x)=xcos(2y)	$y \sin (12 x) = x \cos (2 y)$
64893	Find the Derivative - d/dy	ysin(16x)=xcos(2y)	$y \sin (16 x) = x \cos (2 y)$
64894	Find the Derivative - d/dz	(1-e^z)(z+e^z)	$(1 - e^{z}) (z + e^{z})$
64895	Find the Derivative - d/dz	square root of (z-1)/(z+1)	$\sqrt{\frac{z - 1}{z + 1}}$
64896	Find Where Undefined/Discontinuous	y=( square root of x+2)/((x+3)(x-2))	$y = \frac{\sqrt{x + 2}}{(x + 3) (x - 2)}$
64897	Convert to a Simplified Fraction	0.353535	$0.353535$
64898	Evaluate from the Right	limit as x approaches 0 of (sin(x))/x	$lim_{x \to 0} \frac{\sin (x)}{x}$
64899	Convert to Polar Coordinates	P=(1,pi/3)	$P = (1, \frac{π}{3})$
64900	Convert to Polar Coordinates	P=(1,-pi/6)	$P = (1, - \frac{π}{6})$