Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
64501	Divide	36/6	$\frac{36}{6}$
64502	Divide	45/15	$\frac{45}{15}$
64503	Identify the Sequence	1 , 21 , 121 , 621 , 3121	$1$ , $21$ , $121$ , $621$ , $3121$
64504	Find the Local Maxima and Minima	y=2x^3+3x^2-12x+7	$y = 2 x^{3} + 3 x^{2} - 12 x + 7$
64505	Find the Inflection Points	f(x)=(x^2-9x+39)/(x-7)	$f (x) = \frac{x^{2} - 9 x + 39}{x - 7}$
64506	Find the Inflection Points	f(x)=25-15x^2+5x^3	$f (x) = 25 - 15 x^{2} + 5 x^{3}$
64507	Solve for t	256-16t^2=0	$256 - 16 t^{2} = 0$
64508	Solve for t	0=-16t^2+493	$0 = - 16 t^{2} + 493$
64509	Solve for B	A=1/2h(B+b)	$A = \frac{1}{2} h (B + b)$
64510	Find the Derivative Using Chain Rule - d/d@VAR	f(x)=(2x-3)^4(x^2+x+1)^5	$f (x) = {(2 x - 3)}^{4} {(x^{2} + x + 1)}^{5}$
64511	Find the Difference Quotient	f(x)=-3x^2-4x-1	$f (x) = - 3 x^{2} - 4 x - 1$
64512	Convert to Interval Notation	-5<=x<=5	$- 5 \leq x \leq 5$
64513	Solve the System of @WORD	(x^2+7x)/(x-2)>0	$\frac{x^{2} + 7 x}{x - 2} > 0$
64514	Find the Area Under the Curve	y=(x^6)/6+1/(16x^4) ; [1,2]	$y = \frac{x^{6}}{6} + \frac{1}{16 x^{4}}$ ; $[1, 2]$
64515	Find Where Increasing/Decreasing Using Derivatives	f(x)=-x^3+9x^2-54	$f (x) = - x^{3} + 9 x^{2} - 54$
64516	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-3x^3	$f (x) = x^{4} - 3 x^{3}$
64517	Find Where Increasing/Decreasing Using Derivatives	f(x)=4x^3-48x^2+6	$f (x) = 4 x^{3} - 48 x^{2} + 6$
64518	Find the Second Derivative	(6x^5)/5-2x	$\frac{6 x^{5}}{5} - 2 x$
64519	Find the Foci	x^2-4y^2=4	$x^{2} - 4 y^{2} = 4$
64520	Find the Second Derivative	y=5x^4-4x^2+5	$y = 5 x^{4} - 4 x^{2} + 5$
64521	Find the Second Derivative	y^4=x^7	$y^{4} = x^{7}$
64522	Evaluate Using the Given Value	4x^3-6x^2+7x , x=2	$4 x^{3} - 6 x^{2} + 7 x$ , $x = 2$
64523	Determine if Continuous	f(x)=(x-2)/(x^2-4)	$f (x) = \frac{x - 2}{x^{2} - 4}$
64524	Write in y=mx+b Form	y-2=4(x-1)	$y - 2 = 4 (x - 1)$
64525	Find dy/dx	y=arcsin(3x^3)	$y = \arcsin (3 x^{3})$
64526	Find dy/dx	y=x square root of 3x-2	$y = x \sqrt{3 x - 2}$
64527	Find dy/dx	y=x^0.7	$y = x^{0.7}$
64528	Find dy/dx	y=x^2sin(x)	$y = x^{2} \sin (x)$
64529	Find dy/dx	y=x^( square root of 2)	$y = x^{\sqrt{2}}$
64530	Find dy/dx	y=x^2-1	$y = x^{2} - 1$
64531	Evaluate the Summation	sum from i=1 to 10 of 1+(-1)^i	$\sum_{i = 1}^{10} 1 + {(- 1)}^{i}$
64532	Evaluate the Summation	sum from i=1 to 15 of 3i-2	$\sum_{i = 1}^{15} 3 i - 2$
64533	Evaluate the Summation	sum from i=1 to 15 of (i-1)^2	$\sum_{i = 1}^{15} {(i - 1)}^{2}$
64534	Evaluate the Summation	sum from i=1 to 7 of a+2i	$\sum_{i = 1}^{7} a + 2 i$
64535	Evaluate the Summation	sum from i=1 to 7 of (1/3)^(i+1)	$\sum_{i = 1}^{7} {(\frac{1}{3})}^{i + 1}$
64536	Evaluate the Summation	sum from i=1 to 6 of 4	$\sum_{i = 1}^{6} 4$
64537	Evaluate the Summation	sum from i=1 to 6 of 6i^3	$\sum_{i = 1}^{6} 6 i^{3}$
64538	Evaluate the Summation	sum from i=2 to 8 of i^2	$\sum_{i = 2}^{8} i^{2}$
64539	Evaluate the Summation	sum from i=3 to 6 of 3i-5	$\sum_{i = 3}^{6} 3 i - 5$
64540	Evaluate the Summation	sum from i=3 to 6 of (i!)/((i-1)!)	$\sum_{i = 3}^{6} \frac{i!}{(i - 1)!}$
64541	Evaluate the Summation	sum from i=1 to 9 of 3^i	$\sum_{i = 1}^{9} 3^{i}$
64542	Evaluate the Summation	sum from j=1 to infinity of (-4)^j	$\sum_{j = 1}^{\infty} {(- 4)}^{j}$
64543	Evaluate the Summation	sum from j=1 to 4 of (-2/3)^j	$\sum_{j = 1}^{4} {(- \frac{2}{3})}^{j}$
64544	Evaluate the Summation	sum from i=4 to 12 of -6-9i	$\sum_{i = 4}^{12} - 6 - 9 i$
64545	Find dy/dx	y = square root of 7-9x	$y = \sqrt{7 - 9 x}$
64546	Find dy/dx	y = square root of 1-x^2	$y = \sqrt{1 - x^{2}}$
64547	Find dy/dx	y = seventh root of x	$y = \sqrt[7]{x}$
64548	Find dy/dx	y = fifth root of (x^2+7)^3	$y = \sqrt[5]{{(x^{2} + 7)}^{3}}$
64549	Find dy/dx	y=(xsin(x))/(1+cos(x))	$y = \frac{x \sin (x)}{1 + \cos (x)}$
64550	Find dy/dx	y=3^( square root of x)	$y = 3^{\sqrt{x}}$
64551	Find dy/dx	y = square root of x(x-2)	$y = \sqrt{x} (x - 2)$
64552	Find dy/dx	y=8-x^3	$y = 8 - x^{3}$
64553	Find dy/dx	y=7x^3	$y = 7 x^{3}$
64554	Find dy/dx	y=-5x^3	$y = - 5 x^{3}$
64555	Find dy/dx	y=4xarcsin(x)	$y = 4 x \arcsin (x)$
64556	Find dy/dx	y=e^(2x)sin(x)	$y = e^{2 x} \sin (x)$
64557	Find dy/dx	y=e^(3x^5)	$y = e^{3 x^{5}}$
64558	Find dy/dx	y=cos(x^2)	$y = \cos (x^{2})$
64559	Find dy/dx	y(x^2+16)=32	$y (x^{2} + 16) = 32$
64560	Find dy/dx	y(x^2+81)=162	$y (x^{2} + 81) = 162$
64561	Find dy/dx	xy=12	$x y = 12$
64562	Find dy/dx	y^2+6y+9x=0	$y^{2} + 6 y + 9 x = 0$
64563	Find dy/dx	x^5+y^5=30xy	$x^{5} + y^{5} = 30 x y$
64564	Find dy/dx	x^5y+5xy^5=x+y	$x^{5} y + 5 x y^{5} = x + y$
64565	Find dy/dx	x^8+y^7=6	$x^{8} + y^{7} = 6$
64566	Find dy/dx	xe^y+ye^x=1	$x e^{y} + y e^{x} = 1$
64567	Find dy/dx	xe^y=ysin(x)	$x e^{y} = y \sin (x)$
64568	Find dy/dx	x-cos(4y)=0	$x - \cos (4 y) = 0$
64569	Find dy/dx	x^9y^7-y=x	$x^{9} y^{7} - y = x$
64570	Find dy/dx	y=(3xsin(x))/(5+cos(x))	$y = \frac{3 x \sin (x)}{5 + \cos (x)}$
64571	Find dy/dx	4x^2-2xy^2+5y-9=0	$4 x^{2} - 2 x y^{2} + 5 y - 9 = 0$
64572	Find dy/dx	5e^(xy)+3y^2=7	$5 e^{x y} + 3 y^{2} = 7$
64573	Find dy/dx	e^(4xy)=3y	$e^{4 x y} = 3 y$
64574	Find dy/dx	x^2+y^3-2x+3y=5	$x^{2} + y^{3} - 2 x + 3 y = 5$
64575	Find dy/dx	x^2+4y^2=9	$x^{2} + 4 y^{2} = 9$
64576	Find dy/dx	arctan(3x^2y)=x+2xy^2	$\arctan (3 x^{2} y) = x + 2 x y^{2}$
64577	Find dy/dx	x^3+xy=e^y	$x^{3} + x y = e^{y}$
64578	Find dy/dx	x^3-y^3=1/2	$x^{3} - y^{3} = \frac{1}{2}$
64579	Find dy/dx	x^2y-4xy^2=1	$x^{2} y - 4 x y^{2} = 1$
64580	Find dp/dq	p=(sec(q)+csc(q))/(csc(q))	$p = \frac{\sec (q) + \csc (q)}{\csc (q)}$
64581	Find dy/dx	sin(xy)=cos(x+y)	$\sin (x y) = \cos (x + y)$
64582	Find dy/dx	2x^2-xy+y^2=4	$2 x^{2} - x y + y^{2} = 4$
64583	Find dy/dx	16(x^2+y^2)^2=400xy^2	$16 {(x^{2} + y^{2})}^{2} = 400 x y^{2}$
64584	Find dy/dx	tan(xy)=x	$\tan (x y) = x$
64585	Find dy/dx	3xy+y^2=4x+y	$3 x y + y^{2} = 4 x + y$
64586	Find dy/dx	3x^2-2xy+3y=1	$3 x^{2} - 2 x y + 3 y = 1$
64587	Evaluate the Summation	sum from k=1 to 5 of 3(1/5)^(k-1)	$\sum_{k = 1}^{5} 3 {(\frac{1}{5})}^{k - 1}$
64588	Evaluate the Summation	sum from k=1 to 4 of (-3/5)^k	$\sum_{k = 1}^{4} {(- \frac{3}{5})}^{k}$
64589	Evaluate the Summation	sum from k=1 to 40 of -2k+8	$\sum_{k = 1}^{40} - 2 k + 8$
64590	Evaluate the Summation	sum from k=1 to infinity of 7^(-k)	$\sum_{k = 1}^{\infty} 7^{- k}$
64591	Evaluate the Summation	sum from k=3 to 7 of sin(kpi)	$\sum_{k = 3}^{7} \sin (k π)$
64592	Evaluate the Summation	sum from k=5 to 4 of 10k	$\sum_{k = 5}^{4} 10 k$
64593	Evaluate the Summation	sum from k=3 to 10 of (-4)(-2)^(k-1)	$\sum_{k = 3}^{10} (- 4) {(- 2)}^{k - 1}$
64594	Evaluate the Summation	sum from k=3 to 13 of 12k-62	$\sum_{k = 3}^{13} 12 k - 62$
64595	Evaluate the Summation	sum from m=1 to 25 of 50-m	$\sum_{m = 1}^{25} 50 - m$
64596	Evaluate the Summation	sum from n=1 to 5 of 1/(n+4)	$\sum_{n = 1}^{5} \frac{1}{n + 4}$
64597	Evaluate the Summation	sum from n=1 to 90 of 3n-7	$\sum_{n = 1}^{90} 3 n - 7$
64598	Evaluate the Summation	sum from n=1 to 80 of 7-1/2n	$\sum_{n = 1}^{80} 7 - \frac{1}{2} n$
64599	Evaluate the Summation	sum from n=1 to 4 of (5)(3)^(n-2)	$\sum_{n = 1}^{4} (5) {(3)}^{(n - 2)}$
64600	Evaluate the Summation	sum from n=1 to 120 of 3n-4	$\sum_{n = 1}^{120} 3 n - 4$