Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
65201	Find dy/dx	x^(1/3)+y^(1/3)=1	$x^{\frac{1}{3}} + y^{\frac{1}{3}} = 1$
65202	Find dy/dx	x^3-2x^2y+3xy^2=38	$x^{3} - 2 x^{2} y + 3 x y^{2} = 38$
65203	Find dy/dx	x^3y+y^3x=6	$x^{3} y + y^{3} x = 6$
65204	Find dy/dx	x^3y-xy^3=4	$x^{3} y - x y^{3} = 4$
65205	Find dy/dx	x^2y-2x^3-8=0	$x^{2} y - 2 x^{3} - 8 = 0$
65206	Find dy/dx	x^3+2x^2y-4y=7	$x^{3} + 2 x^{2} y - 4 y = 7$
65207	Find dx/dy	cot(y)=x-y	$\cot (y) = x - y$
65208	Find dy/dx	(dy)/(dx)=1/3x(y-2)^2	$\frac{d y}{d x} = \frac{1}{3} x {(y - 2)}^{2}$
65209	Find dy/dx	(6xy+7)^2=36y	${(6 x y + 7)}^{2} = 36 y$
65210	Find dy/dx	1/x+1/y=2	$\frac{1}{x} + \frac{1}{y} = 2$
65211	Find dy/dx	2x^4+7y^4=9xy	$2 x^{4} + 7 y^{4} = 9 x y$
65212	Find dy/dx	2y-x+xy=3	$2 y - x + x y = 3$
65213	Find dy/dx	3x^2+5y^2=3	$3 x^{2} + 5 y^{2} = 3$
65214	Evaluate the Summation	sum from 1 to 19 of 4-3k	$\sum_{1}^{19} 4 - 3 k$
65215	Evaluate the Summation	sum from 1 to 4 of 2^n	$\sum_{1}^{4} 2^{n}$
65216	Evaluate the Summation	sum from 1 to 60 of 3n	$\sum_{1}^{60} 3 n$
65217	Find the x and y Intercepts	f(x)=4/(x-5)	$f (x) = \frac{4}{x - 5}$
65218	Evaluate the Summation	sum from k=1 to 5 of 30-k^2	$\sum_{k = 1}^{5} 30 - k^{2}$
65219	Evaluate the Summation	sum from k=1 to 6 of 7k	$\sum_{k = 1}^{6} 7 k$
65220	Evaluate the Summation	sum from k=1 to 7 of 2-3k	$\sum_{k = 1}^{7} 2 - 3 k$
65221	Evaluate the Summation	sum from k=1 to 7 of (k(k+1))/2	$\sum_{k = 1}^{7} \frac{k (k + 1)}{2}$
65222	Evaluate the Summation	sum from k=1 to 4 of 4(1.5)^(k-1)	$\sum_{k = 1}^{4} 4 {(1.5)}^{k - 1}$
65223	Evaluate the Summation	sum from k=1 to 4 of (-2/7)^k	$\sum_{k = 1}^{4} {(- \frac{2}{7})}^{k}$
65224	Evaluate the Summation	sum from k=1 to 4 of (-1/5)^k	$\sum_{k = 1}^{4} {(- \frac{1}{5})}^{k}$
65225	Evaluate the Summation	sum from k=1 to 4 of (-1)^k(k+18)	$\sum_{k = 1}^{4} {(- 1)}^{k} (k + 18)$
65226	Evaluate the Summation	sum from k=1 to 30 of (7/30k+5)7/30	$\sum_{k = 1}^{30} (\frac{7}{30} k + 5) \frac{7}{30}$
65227	Evaluate the Summation	sum from k=1 to 2 of (6k)/(k+2)	$\sum_{k = 1}^{2} \frac{6 k}{k + 2}$
65228	Evaluate the Summation	sum from k=1 to 3 of (-1)^(k+3)cos(pi/k)	$\sum_{k = 1}^{3} {(- 1)}^{k + 3} \cos (\frac{π}{k})$
65229	Evaluate the Summation	sum from k=1 to 45 of k	$\sum_{k = 1}^{45} k$
65230	Evaluate the Summation	sum from k=1 to 47 of k	$\sum_{k = 1}^{47} k$
65231	Evaluate the Summation	sum from k=1 to 49 of k	$\sum_{k = 1}^{49} k$
65232	Evaluate the Summation	sum from k=1 to 50 of k	$\sum_{k = 1}^{50} k$
65233	Evaluate the Summation	sum from k=1 to 16 of k^2+4	$\sum_{k = 1}^{16} k^{2} + 4$
65234	Evaluate the Summation	sum from k=1 to 17 of 5	$\sum_{k = 1}^{17} 5$
65235	Evaluate the Summation	sum from k=1 to infinity of 4^(-k)	$\sum_{k = 1}^{\infty} 4^{- k}$
65236	Evaluate the Summation	sum from k=1 to infinity of 5/(10^k)	$\sum_{k = 1}^{\infty} \frac{5}{10^{k}}$
65237	Evaluate the Summation	sum from k=1 to infinity of 2(3/4)^(k-1)	$\sum_{k = 1}^{\infty} 2 {(\frac{3}{4})}^{k - 1}$
65238	Evaluate the Summation	sum from k=0 to 8 of c	$\sum_{k = 0}^{8} c$
65239	Evaluate the Summation	sum from j=1 to 6 of 6j^3	$\sum_{j = 1}^{6} 6 j^{3}$
65240	Evaluate the Summation	sum from k=1 to infinity of (1/2)^(k-1)	$\sum_{k = 1}^{\infty} {(\frac{1}{2})}^{k - 1}$
65241	Evaluate the Summation	sum from k=1 to 15 of 8k-16	$\sum_{k = 1}^{15} 8 k - 16$
65242	Evaluate the Summation	sum from k=1 to 11 of 4	$\sum_{k = 1}^{11} 4$
65243	Evaluate the Summation	sum from k=1 to infinity of 8(1/5)^(k-1)	$\sum_{k = 1}^{\infty} 8 {(\frac{1}{5})}^{k - 1}$
65244	Evaluate the Summation	sum from K=11 to 4 of 2^(K-1)	$\sum_{K = 11}^{4} 2^{K - 1}$
65245	Evaluate the Summation	sum from k=3 to 8 of k(k-4)	$\sum_{k = 3}^{8} k (k - 4)$
65246	Evaluate the Summation	sum from k=3 to 4 of 1/(2k)	$\sum_{k = 3}^{4} \frac{1}{2 k}$
65247	Evaluate the Summation	sum from k=2 to 6 of 1/(2k)	$\sum_{k = 2}^{6} \frac{1}{2 k}$
65248	Evaluate the Summation	sum from n=1 to infinity of 1/2n	$\sum_{n = 1}^{\infty} \frac{1}{2} n$
65249	Evaluate the Summation	sum from n=1 to infinity of 1/3(2)^(n-1)	$\sum_{n = 1}^{\infty} \frac{1}{3} {(2)}^{n - 1}$
65250	Evaluate the Summation	sum from n=1 to infinity of (1/4)^(n-1)	$\sum_{n = 1}^{\infty} {(\frac{1}{4})}^{n - 1}$
65251	Evaluate the Summation	sum from n=0 to infinity of 9(0.4)^n	$\sum_{n = 0}^{\infty} 9 {(0.4)}^{n}$
65252	Evaluate the Summation	sum from n=0 to infinity of 3(0.25)^n	$\sum_{n = 0}^{\infty} 3 {(0.25)}^{n}$
65253	Evaluate the Summation	sum from n=0 to 3 of n!	$\sum_{n = 0}^{3} n!$
65254	Evaluate the Summation	sum from n=0 to 5 of 3(3/2)^n	$\sum_{n = 0}^{5} 3 {(\frac{3}{2})}^{n}$
65255	Evaluate the Summation	sum from k=5 to 9 of sin(kx)	$\sum_{k = 5}^{9} \sin (k x)$
65256	Evaluate the Summation	sum from m=1 to 3 of 2(3)^(m-1)	$\sum_{m = 1}^{3} 2 {(3)}^{m - 1}$
65257	Evaluate the Summation	sum from n=1 to 4 of 3(4)^(n-1)	$\sum_{n = 1}^{4} 3 {(4)}^{n - 1}$
65258	Evaluate the Summation	sum from n=1 to 4 of 3*2^(n-1)	$\sum_{n = 1}^{4} 3 \cdot 2^{n - 1}$
65259	Evaluate the Summation	sum from n=1 to 4 of (n+1)!	$\sum_{n = 1}^{4} (n + 1)!$
65260	Evaluate the Summation	sum from n=1 to 4 of n/n	$\sum_{n = 1}^{4} \frac{n}{n}$
65261	Evaluate the Summation	sum from n=1 to 4 of 4(1/4)^(n-1)	$\sum_{n = 1}^{4} 4 {(\frac{1}{4})}^{n - 1}$
65262	Evaluate the Summation	sum from n=1 to 5 of 3n+1	$\sum_{n = 1}^{5} 3 n + 1$
65263	Evaluate the Summation	sum from n=1 to 90 of 5-1/3n	$\sum_{n = 1}^{90} 5 - \frac{1}{3} n$
65264	Evaluate the Summation	sum from n=1 to 90 of 7-1/3n	$\sum_{n = 1}^{90} 7 - \frac{1}{3} n$
65265	Evaluate the Summation	sum from n=1 to 4 of 2n+5	$\sum_{n = 1}^{4} 2 n + 5$
65266	Evaluate the Summation	sum from n=1 to 10 of 4(2/3)^(n-1)	$\sum_{n = 1}^{10} 4 {(\frac{2}{3})}^{n - 1}$
65267	Evaluate the Summation	sum from n=1 to 10 of 3.4n+8.75	$\sum_{n = 1}^{10} 3.4 n + 8.75$
65268	Evaluate the Summation	sum from n=1 to 120 of 2n-7	$\sum_{n = 1}^{120} 2 n - 7$
65269	Evaluate the Summation	sum from n=1 to 100 of 7-1/2n	$\sum_{n = 1}^{100} 7 - \frac{1}{2} n$
65270	Evaluate the Summation	sum from n=1 to 70 of 2n-3	$\sum_{n = 1}^{70} 2 n - 3$
65271	Evaluate the Summation	sum from n=1 to 160 of -2n+4	$\sum_{n = 1}^{160} - 2 n + 4$
65272	Evaluate the Summation	sum from x=1 to 775 of -3x-4	$\sum_{x = 1}^{775} - 3 x - 4$
65273	Evaluate the Summation	sum from x=1 to 10 of x	$\sum_{x = 1}^{10} x$
65274	Evaluate the Summation	sum from x=1 to 2 of x^2+1	$\sum_{x = 1}^{2} x^{2} + 1$
65275	Evaluate the Summation	sum from x=1 to 275 of -5x+12	$\sum_{x = 1}^{275} - 5 x + 12$
65276	Evaluate the Summation	sum from x=1 to 4 of x^2	$\sum_{x = 1}^{4} x^{2}$
65277	Evaluate the Summation	sum from x=1 to 5 of 5x^2	$\sum_{x = 1}^{5} 5 x^{2}$
65278	Evaluate the Summation	sum from x=4 to 8 of i^x	$\sum_{x = 4}^{8} i^{x}$
65279	Evaluate the Summation	sum from x=5 to 8 of x+2	$\sum_{x = 5}^{8} x + 2$
65280	Evaluate the Summation	sum from x=1 to 6 of 2x	$\sum_{x = 1}^{6} 2 x$
65281	Evaluate the Summation	sum from x=0 to 4 of 3-2x	$\sum_{x = 0}^{4} 3 - 2 x$
65282	Evaluate the Summation	sum from x=0 to 4 of sin((xpi)/2)	$\sum_{x = 0}^{4} \sin (\frac{x π}{2})$
65283	Evaluate the Summation	sum from n=4 to 9 of n+1	$\sum_{n = 4}^{9} n + 1$
65284	Evaluate the Summation	sum from n=7 to 10 of 3n-4	$\sum_{n = 7}^{10} 3 n - 4$
65285	Evaluate the Summation	sum from n=2 to 6 of 1+2n	$\sum_{n = 2}^{6} 1 + 2 n$
65286	Evaluate the Summation	sum from n=3 to 5 of n^2-2^n	$\sum_{n = 3}^{5} n^{2} - 2^{n}$
65287	Evaluate the Summation	sum from n=3 to 6 of 5n+2	$\sum_{n = 3}^{6} 5 n + 2$
65288	Evaluate the Summation	sum from n=4 to 10 of 0.8n-0.4	$\sum_{n = 4}^{10} 0.8 n - 0.4$
65289	Evaluate the Summation	sum from n=1 to 7 of 2(3)^(n-1)	$\sum_{n = 1}^{7} 2 {(3)}^{n - 1}$
65290	Evaluate the Summation	sum from n=1 to 8 of 4(2^n)	$\sum_{n = 1}^{8} 4 (2^{n})$
65291	Evaluate the Summation	sum from n=1 to 7 of 10n+5	$\sum_{n = 1}^{7} 10 n + 5$
65292	Find the Critical Points	x^3-3x^2-105x	$x^{3} - 3 x^{2} - 105 x$
65293	Find the Critical Points	x^3-3x^2-24x+4	$x^{3} - 3 x^{2} - 24 x + 4$
65294	Find the Critical Points	y=2x^3+3x^2-12x+8	$y = 2 x^{3} + 3 x^{2} - 12 x + 8$
65295	Find the Critical Points	y=x^3-12x	$y = x^{3} - 12 x$
65296	Find the x and y Intercepts	y=1/(x-2)-3	$y = \frac{1}{x - 2} - 3$
65297	Find the x and y Intercepts	y=x^2+7x-8	$y = x^{2} + 7 x - 8$
65298	Find Amplitude, Period, and Phase Shift	y=0.5cos(3theta)	$y = 0.5 \cos (3 θ)$
65299	Determine if Continuous	f(x)=(x^2-5x+6)/(x^2-4)	$f (x) = \frac{x^{2} - 5 x + 6}{x^{2} - 4}$
65300	Find the Roots (Zeros)	x^3-3x^2+81x-243	$x^{3} - 3 x^{2} + 81 x - 243$