Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
66401	Evaluate the Summation	sum from i=2 to 7 of i^2-2i	$\sum_{i = 2}^{7} i^{2} - 2 i$
66402	Evaluate the Summation	sum from i=2 to 5 of 4	$\sum_{i = 2}^{5} 4$
66403	Evaluate the Summation	sum from i=2 to 8 of i^3	$\sum_{i = 2}^{8} i^{3}$
66404	Evaluate the Summation	sum from i=2 to 9 of (-2/3)^2	$\sum_{i = 2}^{9} {(- \frac{2}{3})}^{2}$
66405	Evaluate the Summation	sum from i=3 to 13 of (i-3)^2	$\sum_{i = 3}^{13} {(i - 3)}^{2}$
66406	Evaluate the Summation	sum from i=3 to 5 of i^2-10	$\sum_{i = 3}^{5} i^{2} - 10$
66407	Evaluate the Summation	sum from i=1 to 6 of 5i^3	$\sum_{i = 1}^{6} 5 i^{3}$
66408	Evaluate the Summation	sum from i=1 to 6 of 6i^2	$\sum_{i = 1}^{6} 6 i^{2}$
66409	Evaluate the Summation	sum from i=1 to 7 of (-3)^i	$\sum_{i = 1}^{7} {(- 3)}^{i}$
66410	Evaluate the Summation	sum from i=1 to 7 of 4i+1	$\sum_{i = 1}^{7} 4 i + 1$
66411	Evaluate the Summation	sum from i=1 to 7 of 4i+2	$\sum_{i = 1}^{7} 4 i + 2$
66412	Evaluate the Summation	sum from i=1 to 8 of 4i-1	$\sum_{i = 1}^{8} 4 i - 1$
66413	Evaluate the Summation	sum from i=1 to 9 of -28(-1/2)^(i-1)	$\sum_{i = 1}^{9} - 28 {(- \frac{1}{2})}^{i - 1}$
66414	Evaluate the Summation	sum from i=1 to 9 of (1/3)^i	$\sum_{i = 1}^{9} {(\frac{1}{3})}^{i}$
66415	Evaluate the Summation	sum from i=1 to 9 of (1/4)^i	$\sum_{i = 1}^{9} {(\frac{1}{4})}^{i}$
66416	Evaluate the Summation	sum from i=1 to 9 of (-1/4)^i	$\sum_{i = 1}^{9} {(- \frac{1}{4})}^{i}$
66417	Evaluate the Summation	sum from i=1 to 9 of 3i^2+8i-5	$\sum_{i = 1}^{9} 3 i^{2} + 8 i - 5$
66418	Evaluate the Summation	sum from i=1 to 9 of (i-1)^2	$\sum_{i = 1}^{9} {(i - 1)}^{2}$
66419	Evaluate the Summation	sum from i=1 to infinity of 3(-3)^i	$\sum_{i = 1}^{\infty} 3 {(- 3)}^{i}$
66420	Evaluate the Summation	sum from i=1 to infinity of 3*0.2^(i-1)	$\sum_{i = 1}^{\infty} 3 {(0.2)}^{i - 1}$
66421	Evaluate the Summation	sum from i=1 to infinity of 2/(3^i)	$\sum_{i = 1}^{\infty} \frac{2}{3^{i}}$
66422	Evaluate the Summation	sum from i=1 to infinity of 3(1/4)^(i-1)	$\sum_{i = 1}^{\infty} 3 {(\frac{1}{4})}^{i - 1}$
66423	Evaluate the Summation	sum from i=1 to 10 of 4i+3	$\sum_{i = 1}^{10} 4 i + 3$
66424	Evaluate the Summation	sum from i=1 to 10 of (4i+9)/(n^2)	$\sum_{i = 1}^{10} \frac{4 i + 9}{n^{2}}$
66425	Evaluate the Summation	sum from i=1 to 10 of i^3-2i	$\sum_{i = 1}^{10} i^{3} - 2 i$
66426	Evaluate the Summation	sum from i=1 to infinity of 4(2/3)^(i-1)	$\sum_{i = 1}^{\infty} 4 {(\frac{2}{3})}^{i - 1}$
66427	Evaluate the Summation	sum from i=1 to infinity of 61*0.01^i	$\sum_{i = 1}^{\infty} 61 {(0.01)}^{i}$
66428	Evaluate the Summation	sum from i=1 to infinity of 5*0.5^(i-1)	$\sum_{i = 1}^{\infty} 5 {(0.5)}^{i - 1}$
66429	Evaluate the Summation	sum from i=1 to 16 of 6i	$\sum_{i = 1}^{16} 6 i$
66430	Evaluate the Summation	sum from i=1 to 19 of 3-i	$\sum_{i = 1}^{19} 3 - i$
66431	Evaluate the Summation	sum from i=1 to 19 of 3i-4	$\sum_{i = 1}^{19} 3 i - 4$
66432	Evaluate the Summation	sum from i=1 to 10 of 5	$\sum_{i = 1}^{10} 5$
66433	Evaluate the Summation	sum from i=1 to 100 of 3i	$\sum_{i = 1}^{100} 3 i$
66434	Evaluate the Summation	sum from i=1 to 100 of 4i	$\sum_{i = 1}^{100} 4 i$
66435	Evaluate the Summation	sum from i=1 to infinity of 1/(10^i)	$\sum_{i = 1}^{\infty} \frac{1}{10^{i}}$
66436	Evaluate the Summation	sum from i=1 to infinity of (-1/2)^i	$\sum_{i = 1}^{\infty} {(- \frac{1}{2})}^{i}$
66437	Evaluate the Summation	sum from i=0 to 4 of 200*1.05^i	$\sum_{i = 0}^{4} 200 {(1.05)}^{i}$
66438	Evaluate the Summation	sum from i=0 to 4 of -2i+5	$\sum_{i = 0}^{4} - 2 i + 5$
66439	Evaluate the Summation	sum from i=0 to 5 of 32(3/4)^i	$\sum_{i = 0}^{5} 32 {(\frac{3}{4})}^{i}$
66440	Evaluate the Summation	sum from a=1 to 3 of 8^10	$\sum_{a = 1}^{3} 8^{10}$
66441	Find dz/dy	x^4+y^4+z^4+12xyz=1	$x^{4} + y^{4} + z^{4} + 12 x y z = 1$
66442	Evaluate the Summation	sum from i=0 to infinity of 2.5^i	$\sum_{i = 0}^{\infty} {2.5}^{i}$
66443	Evaluate the Summation	sum from i=0 to 4 of ((-1)^i)/((i+1)!)	$\sum_{i = 0}^{4} \frac{{(- 1)}^{i}}{(i + 1)!}$
66444	Find dy/dx	y=x+tan(xy)	$y = x + \tan (x y)$
66445	Find dy/dx	y=x^9sin(x)	$y = x^{9} \sin (x)$
66446	Find dy/dx	y=x^8cos(x)	$y = x^{8} \cos (x)$
66447	Find dy/dx	y=x^7*5^(7x)	$y = x^{7} \cdot 5^{7 x}$
66448	Find dy/dx	y=x^6 natural log of x-1/5x^5	$y = x^{6} \ln (x) - \frac{1}{5} x^{5}$
66449	Find dy/dx	y=x^6cos(x)	$y = x^{6} \cos (x)$
66450	Find dy/dx	y=x^5 natural log of x-1/3x^3	$y = x^{5} \ln (x) - \frac{1}{3} x^{3}$
66451	Find dy/dx	y=x^5cos(x)	$y = x^{5} \cos (x)$
66452	Find dy/dx	y=x^5 natural log of x-1/4x^4	$y = x^{5} \ln (x) - \frac{1}{4} x^{4}$
66453	Find dy/dx	y=x^2 square root of x^2+9	$y = x^{2} \sqrt{x^{2} + 9}$
66454	Find dy/dx	y=x^2-4x	$y = x^{2} - 4 x$
66455	Find dy/dx	y=x^2-9	$y = x^{2} - 9$
66456	Find dy/dx	y=x^3sin(x)	$y = x^{3} \sin (x)$
66457	Find dy/dx	y=x^(2cos(x))	$y = x^{2 \cos (x)}$
66458	Find dy/dx	y=x^4 natural log of x-1/3x^3	$y = x^{4} \ln (x) - \frac{1}{3} x^{3}$
66459	Find dy/dx	y=x^3 square root of x^2+3	$y = x^{3} \sqrt{x^{2} + 3}$
66460	Find dy/dx	y=x^(-4cos(x))	$y = x^{- 4 \cos (x)}$
66461	Find dy/dx	y=x^2(4-6x^2)^(1/3)	$y = x^{2} {(4 - 6 x^{2})}^{\frac{1}{3}}$
66462	Find dy/dx	y=x^2cos(x)	$y = x^{2} \cos (x)$
66463	Find dy/dx	y=x^0.9	$y = x^{0.9}$
66464	Find dy/dx	y=x^2 square root of 8x-5	$y = x^{2} \sqrt{8 x - 5}$
66465	Find dy/dx	y=x^0.65	$y = x^{0.65}$
66466	Find dy/dx	y=x^10	$y = x^{10}$
66467	Find dy/dx	y=x^11	$y = x^{11}$
66468	Find dy/dx	y=x^(- square root of 5)	$y = x^{- \sqrt{5}}$
66469	Find dy/dx	y=x^0.3	$y = x^{0.3}$
66470	Find dy/dx	y = natural log of square root of x+7	$y = \ln (\sqrt{x + 7})$
66471	Find dy/dx	y = natural log of \|3x^2-5x\|	$y = \ln (\| 3 x^{2} - 5 x \|)$
66472	Find dy/dx	y = natural log of \|3x^2-7x\|	$y = \ln (\| 3 x^{2} - 7 x \|)$
66473	Find dy/dx	y = natural log of \|sec(x)+tan(x)\|	$y = \ln (\| \sec (x) + \tan (x) \|)$
66474	Find dy/dx	y=arcsin(2x^5)	$y = \arcsin (2 x^{5})$
66475	Find dy/dx	y=sin(x)	$y = \sin (x)$
66476	Find dy/dx	y = natural log of x^2	$y = \ln (x^{2})$
66477	Find dy/dx	y=e^(-x^3)	$y = e^{- x^{3}}$
66478	Find dy/dx	y=e^(6x)cos(x)	$y = e^{6 x} \cos (x)$
66479	Find dy/dx	y=e^(7x)cos(x)	$y = e^{7 x} \cos (x)$
66480	Find dy/dx	y=e^(-8x)	$y = e^{- 8 x}$
66481	Find dy/dx	y=e^(9-3x)	$y = e^{9 - 3 x}$
66482	Find dy/dx	y=e^(-9x)cos(x)	$y = e^{- 9 x} \cos (x)$
66483	Find dy/dx	y=x^(1/2)	$y = x^{\frac{1}{2}}$
66484	Find dy/dx	y=x^(1/3)	$y = x^{\frac{1}{3}}$
66485	Find dy/dx	y=x^(-2/5)	$y = x^{- \frac{2}{5}}$
66486	Find dy/dx	y=xsin(x)+cos(x)	$y = x \sin (x) + \cos (x)$
66487	Find dy/dx	y=x square root of x^2+39 , x>0	$y = x \sqrt{x^{2} + 39}$ , $x > 0$
66488	Find dy/dx	y=x(x^2+1)^5	$y = x {(x^{2} + 1)}^{5}$
66489	Find dy/dx	y=arctan( square root of 7x^2-1)	$y = \arctan (\sqrt{7 x^{2} - 1})$
66490	Find dy/dx	y=tan(4x^2)	$y = \tan (4 x^{2})$
66491	Find dy/dx	y=tan(4x^3)	$y = \tan (4 x^{3})$
66492	Find dy/dx	y=arcsin(8x^3)	$y = \sin^{-1} (8 x^{3})$
66493	Find dy/dx	y=arcsin(6x^5)	$y = \sin^{-1} (6 x^{5})$
66494	Find dy/dx	y=arcsin(6x+1)	$y = \sin^{-1} (6 x + 1)$
66495	Find dy/dx	y=tan(2x^5)	$y = \tan (2 x^{5})$
66496	Find dy/dx	y=arcsin(9x^3)	$y = \arcsin (9 x^{3})$
66497	Find the x and y Intercepts	(3x)/(x^2-4)	$\frac{3 x}{x^{2} - 4}$
66498	Find the x and y Intercepts	x+6/x	$x + \frac{6}{x}$
66499	Find the Volume	y=4 square root of x , y=4 , x=0	$y = 4 \sqrt{x}$ , $y = 4$ , $x = 0$
66500	Find the Volume	y=x , y=x^2	$y = x$ , $y = x^{2}$