Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
56501	Split Using Partial Fraction Decomposition	(10x^2+5x+2)/((x+1)(x^2+2x+2))	$\frac{10 x^{2} + 5 x + 2}{(x + 1) (x^{2} + 2 x + 2)}$
56502	Split Using Partial Fraction Decomposition	13/(w^4-w^3)	$\frac{13}{w^{4} - w^{3}}$
56503	Split Using Partial Fraction Decomposition	(x+8)/((x+3)^2)	$\frac{x + 8}{{(x + 3)}^{2}}$
56504	Split Using Partial Fraction Decomposition	8/(y^3-4y)	$\frac{8}{y^{3} - 4 y}$
56505	Split Using Partial Fraction Decomposition	(6x-1)/((x-8)(x-7)(x-1))	$\frac{6 x - 1}{(x - 8) (x - 7) (x - 1)}$
56506	Split Using Partial Fraction Decomposition	88/(x^2-121)	$\frac{88}{x^{2} - 121}$
56507	Split Using Partial Fraction Decomposition	24/(x^2-16)	$\frac{24}{x^{2} - 16}$
56508	Split Using Partial Fraction Decomposition	54/(x^2-81)	$\frac{54}{x^{2} - 81}$
56509	Split Using Partial Fraction Decomposition	(32x^2)/((x-6)(x+2)^2)	$\frac{32 x^{2}}{(x - 6) {(x + 2)}^{2}}$
56510	Split Using Partial Fraction Decomposition	(5(x^2+4))/(x(x^2+5))	$\frac{5 (x^{2} + 4)}{x (x^{2} + 5)}$
56511	Split Using Partial Fraction Decomposition	(x^2+2x+4)/((x-2)^2)	$\frac{x^{2} + 2 x + 4}{{(x - 2)}^{2}}$
56512	Split Using Partial Fraction Decomposition	24/((x-1)(x+1))	$\frac{24}{(x - 1) (x + 1)}$
56513	Split Using Partial Fraction Decomposition	(6(x^2+5))/(x(x^2+6))	$\frac{6 (x^{2} + 5)}{x (x^{2} + 6)}$
56514	Split Using Partial Fraction Decomposition	x/(x^2+3x-4)	$\frac{x}{x^{2} + 3 x - 4}$
56515	Split Using Partial Fraction Decomposition	(x^3)/(x^2+10x+9)	$\frac{x^{3}}{x^{2} + 10 x + 9}$
56516	Split Using Partial Fraction Decomposition	(66x^2)/(x^4-65x^2+784)	$\frac{66 x^{2}}{x^{4} - 65 x^{2} + 784}$
56517	Split Using Partial Fraction Decomposition	(x-76)/(x^2(x+4))	$\frac{x - 76}{x^{2} (x + 4)}$
56518	Split Using Partial Fraction Decomposition	(2x^2+5x+33)/((x+5)(x^2+4))	$\frac{2 x^{2} + 5 x + 33}{(x + 5) (x^{2} + 4)}$
56519	Split Using Partial Fraction Decomposition	2/(x^2-2x-24)	$\frac{2}{x^{2} - 2 x - 24}$
56520	Split Using Partial Fraction Decomposition	(x^4-2x^3+x^2+9x-5)/(x^2-2x+1)	$\frac{x^{4} - 2 x^{3} + x^{2} + 9 x - 5}{x^{2} - 2 x + 1}$
56521	Split Using Partial Fraction Decomposition	(9x^2+5x+10)/(x^3-1)	$\frac{9 x^{2} + 5 x + 10}{x^{3} - 1}$
56522	Split Using Partial Fraction Decomposition	(9x-27)/(x^2+x-20)	$\frac{9 x - 27}{x^{2} + x - 20}$
56523	Split Using Partial Fraction Decomposition	11/((x-2)(x+9))	$\frac{11}{(x - 2) (x + 9)}$
56524	Split Using Partial Fraction Decomposition	(3x^2-2x+8)÷(x^3-x^2+2x-2)	$(3 x^{2} - 2 x + 8) \div (x^{3} - x^{2} + 2 x - 2)$
56525	Split Using Partial Fraction Decomposition	(19x-15)/(x^2-3x)	$\frac{19 x - 15}{x^{2} - 3 x}$
56526	Split Using Partial Fraction Decomposition	(x^2+8x-1)/(x^3-x)	$\frac{x^{2} + 8 x - 1}{x^{3} - x}$
56527	Split Using Partial Fraction Decomposition	(x^2+2)/(x^2-10x+24)	$\frac{x^{2} + 2}{x^{2} - 10 x + 24}$
56528	Split Using Partial Fraction Decomposition	(x-95)/(x^2(x+5))	$\frac{x - 95}{x^{2} (x + 5)}$
56529	Split Using Partial Fraction Decomposition	361/(x^3-19x^2)	$\frac{361}{x^{3} - 19 x^{2}}$
56530	Split Using Partial Fraction Decomposition	1/(x(x-4))	$\frac{1}{x (x - 4)}$
56531	Split Using Partial Fraction Decomposition	(y^2+6y+9)/((y^2+9)^2)	$\frac{y^{2} + 6 y + 9}{{(y^{2} + 9)}^{2}}$
56532	Split Using Partial Fraction Decomposition	16/(x^2-16)	$\frac{16}{x^{2} - 16}$
56533	Split Using Partial Fraction Decomposition	(x^2+4x-1)/(x^3-x)	$\frac{x^{2} + 4 x - 1}{x^{3} - x}$
56534	Split Using Partial Fraction Decomposition	(x-20)/(x^2+x-20)	$\frac{x - 20}{x^{2} + x - 20}$
56535	Split Using Partial Fraction Decomposition	(x^2+24x-9)/(x^3-9x)	$\frac{x^{2} + 24 x - 9}{x^{3} - 9 x}$
56536	Split Using Partial Fraction Decomposition	(7x-19)/(x^2-6x+9)	$\frac{(7 x - 19)}{x^{2} - 6 x + 9}$
56537	Find the Roots/Zeros Using the Rational Roots Test	f(x)=7x^3-5x^2-63x+45	$f (x) = 7 x^{3} - 5 x^{2} - 63 x + 45$
56538	Find the Roots/Zeros Using the Rational Roots Test	f(x)=11x^3+123x^2+23x+11	$f (x) = 11 x^{3} + 123 x^{2} + 23 x + 11$
56539	Solve by Substitution	x+y=39 , y=2x	$x + y = 39$ , $y = 2 x$
56540	Solve by Substitution	3x^2-9y=0 , -9x+3y^2=0	$3 x^{2} - 9 y = 0$ , $- 9 x + 3 y^{2} = 0$
56541	Solve by Substitution	3x+2y=2 5x-3y=-22	$3 x + 2 y = 2$ $5 x - 3 y = - 22$
56542	Solve by Substitution	1/2x+1/4y=6 , y=4x	$\frac{1}{2} x + \frac{1}{4} y = 6$ , $y = 4 x$
56543	Solve by Substitution	x+y=-9 x+2y=-25	$x + y = - 9$ $x + 2 y = - 25$
56544	Solve by Substitution	x+y=2 , 2x^2+xy-y^2=8	$x + y = 2$ , $2 x^{2} + x y - y^{2} = 8$
56545	Solve by Substitution	2x+7y=26 x=34-7y	$2 x + 7 y = 26$ $x = 34 - 7 y$
56546	Solve by Substitution	4x+5y=0 , x-3y=0	$4 x + 5 y = 0$ , $x - 3 y = 0$
56547	Solve by Substitution	3x-4y=18 x+3y=-7	$3 x - 4 y = 18$ $x + 3 y = - 7$
56548	Solve by Substitution	5x+y=16 , y=3x	$5 x + y = 16$ , $y = 3 x$
56549	Solve by Substitution	5y-3x=41 , y=-5x+25	$5 y - 3 x = 41$ , $y = - 5 x + 25$
56550	Solve by Substitution	3x+y=5 5x+2y=9	$3 x + y = 5$ $5 x + 2 y = 9$
56551	Solve by Substitution	-2x+y=8 3x+y=-2	$- 2 x + y = 8$ $3 x + y = - 2$
56552	Solve by Substitution	2x+8=-22 x+3y=-5	$2 x + 8 = - 22$ $x + 3 y = - 5$
56553	Split Using Partial Fraction Decomposition	(6x+8)/((x-6)(x^2+8))	$\frac{(6 x + 8)}{(x - 6) (x^{2} + 8)}$
56554	Solve by Substitution	2x+4y=800 x=200	$2 x + 4 y = 800$ $x = 200$
56555	Find the Fourth Derivative	f(x)=x^4-6x^3+8x^2-7x-2	$f (x) = x^{4} - 6 x^{3} + 8 x^{2} - 7 x - 2$
56556	Find the Fourth Derivative	f(x)=x^3-4x^2-9x+14	$f (x) = x^{3} - 4 x^{2} - 9 x + 14$
56557	Find the Fourth Derivative	h(t)=1t^4-6t^2+5	$h (t) = 1 t^{4} - 6 t^{2} + 5$
56558	Find the Fourth Derivative	t(n)=5n^(-1/5)+4n^(7/5)	$t (n) = 5 n^{- \frac{1}{5}} + 4 n^{\frac{7}{5}}$
56559	Find the Fourth Derivative	f(x)=3+2/3s	$f (x) = 3 + \frac{2}{3} s$
56560	Find the Fourth Derivative	g(x)=8x^3-12x^2+3x-2	$g (x) = 8 x^{3} - 12 x^{2} + 3 x - 2$
56561	Find the Fourth Derivative	c(x)=480+39x+0.3x^2	$c (x) = 480 + 39 x + 0.3 x^{2}$
56562	Find the Fourth Derivative	f(x)=4sin(3x)-4cos(2x)	$f (x) = 4 \sin (3 x) - 4 \cos (2 x)$
56563	Find the Fourth Derivative	f(t)=(1.3t^7+9.1t^2)(2.1t^8+1.8t^5)	$f (t) = (1.3 t^{7} + 9.1 t^{2}) (2.1 t^{8} + 1.8 t^{5})$
56564	Find the Fourth Derivative	f(x)=x^4-7x^3-8x^2+3x-1	$f (x) = x^{4} - 7 x^{3} - 8 x^{2} + 3 x - 1$
56565	Find the Fourth Derivative	t(n)=5n^(-1/5)+2n^(8/5)	$t (n) = 5 n^{- \frac{1}{5}} + 2 n^{\frac{8}{5}}$
56566	Find the Fourth Derivative	f(x)=2x^5-5x^2-4x+1	$f (x) = 2 x^{5} - 5 x^{2} - 4 x + 1$
56567	Find the Fourth Derivative	f(x)=3x^(1/5)	$f (x) = 3 x^{\frac{1}{5}}$
56568	Find the Fourth Derivative	g(t)=3t^4+5t^2-3	$g (t) = 3 t^{4} + 5 t^{2} - 3$
56569	Find the Fourth Derivative	f(x)=6x^5-2e^x	$f (x) = 6 x^{5} - 2 e^{x}$
56570	Find the Fourth Derivative	f(x)=(-9x^3+4x^2-5x+1)/x	$f (x) = \frac{(- 9 x^{3} + 4 x^{2} - 5 x + 1)}{x}$
56571	Find the Fourth Derivative	f(x)=(1-x)^2	$f (x) = {(1 - x)}^{2}$
56572	Find the Fourth Derivative	f(x)=x^3-5x^2-9x+17	$f (x) = x^{3} - 5 x^{2} - 9 x + 17$
56573	Find the Fourth Derivative	f(x)=x^6-x^5-4x-1	$f (x) = x^{6} - x^{5} - 4 x - 1$
56574	Find the Fourth Derivative	p(t)=3ce^t	$p (t) = 3 c e^{t}$
56575	Find the Fourth Derivative	f(x)=6x^8-2x^6	$f (x) = 6 x^{8} - 2 x^{6}$
56576	Find the Fourth Derivative	f(x)=(4x^2-x^3)	$f (x) = (4 x^{2} - x^{3})$
56577	Find the Fourth Derivative	f(x)=1+x+1/6x^2+1/9x^3+1/20x^4+1/95x^5	$f (x) = 1 + x + \frac{1}{6} x^{2} + \frac{1}{9} x^{3} + \frac{1}{20} x^{4} + \frac{1}{95} x^{5}$
56578	Find the Fourth Derivative	f(x)=(x-3)(2x+2)	$f (x) = (x - 3) (2 x + 2)$
56579	Find the Fourth Derivative	h(z)=(3-z)(z^3-2z+4)	$h (z) = (3 - z) (z^{3} - 2 z + 4)$
56580	Find the Fourth Derivative	g(t)=sec(t)^2-tan(t)^2	$g (t) = \sec^{2} (t) - \tan^{2} (t)$
56581	Find the Fourth Derivative	f(x)=8+3x+1/2x^2+1/6x^3+5/24x^4+1/120x^5	$f (x) = 8 + 3 x + \frac{1}{2} x^{2} + \frac{1}{6} x^{3} + \frac{5}{24} x^{4} + \frac{1}{120} x^{5}$
56582	Find the Fourth Derivative	f(x)=(3x^3+4x)(x-5)(x+1)	$f (x) = (3 x^{3} + 4 x) (x - 5) (x + 1)$
56583	Find the Fourth Derivative	f(x) = fifth root of x^4	$f (x) = \sqrt[5]{x^{4}}$
56584	Find the Fourth Derivative	f(x)=5x^2-11	$f (x) = 5 x^{2} - 11$
56585	Find the Fourth Derivative	f(x)=[sin(3x)]	$f (x) = [\sin (3 x)]$
56586	Find the Fourth Derivative	f(x)=3x^3+2x^2-x^-2+7	$f (x) = 3 x^{3} + 2 x^{2} - x^{- 2} + 7$
56587	Find the Fourth Derivative	h(t)=5t^2-5e^t	$h (t) = 5 t^{2} - 5 e^{t}$
56588	Find the Fourth Derivative	f(x)=x/(4+x)	$f (x) = \frac{x}{(4 + x)}$
56589	Find the Fourth Derivative	f(x)=-3e^(-5x)	$f (x) = - 3 e^{- 5 x}$
56590	Find the Fourth Derivative	c(x)=0.01x^3+0.3x^2+15x+115	$c (x) = 0.01 x^{3} + 0.3 x^{2} + 15 x + 115$
56591	Find the Fourth Derivative	f(x)=x^2+cos(x)	$f (x) = x^{2} + \cos (x)$
56592	Find the Fourth Derivative	f(x)=1/4x^2	$f (x) = \frac{1}{4} x^{2}$
56593	Find the Fourth Derivative	c(t)=0.1x^2-3.5x+600	$c (t) = 0.1 x^{2} - 3.5 x + 600$
56594	Find the Fourth Derivative	f(x)=6x^2-11	$f (x) = 6 x^{2} - 11$
56595	Find the Fourth Derivative	f(x)=3tan(x)+2cot(x)	$f (x) = 3 \tan (x) + 2 \cot (x)$
56596	Find the Fourth Derivative	f(x)=1+3x-1/2x^2+5/6x^3+5/24x^4+1/120x^5	$f (x) = 1 + 3 x - \frac{1}{2} x^{2} + \frac{5}{6} x^{3} + \frac{5}{24} x^{4} + \frac{1}{120} x^{5}$
56597	Find the Fourth Derivative	t(n)=4n^(-1/4)+7n^(5/4)	$t (n) = 4 n^{- \frac{1}{4}} + 7 n^{\frac{5}{4}}$
56598	Find the Fourth Derivative	g(x)=2t^4-6t^2-5	$g (x) = 2 t^{4} - 6 t^{2} - 5$
56599	Find the Fourth Derivative	s(t)=5t^3+t+4	$s (t) = 5 t^{3} + t + 4$
56600	Find the Fourth Derivative	f(x)=pi- cube root of x	$f (x) = π - \sqrt[3]{x}$