Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
19801	Evaluate	3/( square root of 73)	$\frac{3}{\sqrt{73}}$
19802	Evaluate	(3- square root of 5)/(7+2 square root of 5)	$\frac{3 - \sqrt{5}}{7 + 2 \sqrt{5}}$
19803	Evaluate	(4(x-y))/( square root of x- square root of y)	$\frac{4 (x - y)}{\sqrt{x} - \sqrt{y}}$
19804	Evaluate	19/(5 square root of 17)	$\frac{19}{5 \sqrt{17}}$
19805	Evaluate	-18/(( square root of 13)(2 square root of 13))	$\frac{- 18}{(\sqrt{13}) (2 \sqrt{13})}$
19806	Evaluate	13/(13 square root of 2)	$\frac{13}{13 \sqrt{2}}$
19807	Evaluate	1/(( square root of 13)/4)	$\frac{1}{\frac{\sqrt{13}}{4}}$
19808	Evaluate	( square root of 7- square root of 5)/( square root of 5+3 square root of 7)	$\frac{\sqrt{7} - \sqrt{5}}{\sqrt{5} + 3 \sqrt{7}}$
19809	Evaluate	( fourth root of 2x^7)/( fourth root of 3x^3)	$\frac{\sqrt[4]{2 x^{7}}}{\sqrt[4]{3 x^{3}}}$
19810	Evaluate	1/(4- square root of 15)	$\frac{1}{4 - \sqrt{15}}$
19811	Evaluate	10/( square root of 181)	$\frac{10}{\sqrt{181}}$
19812	Evaluate	1/(20- square root of 399)	$\frac{1}{20 - \sqrt{399}}$
19813	Evaluate	15/( square root of 15 square root of 55)	$\frac{15}{\sqrt{15} \sqrt{55}}$
19814	Evaluate	arccos((49+22.1015-16)/(27 square root of 22.1015))	$\arccos (\frac{49 + 22.1015 - 16}{2 \cdot 7 \cdot \sqrt{22.1015}})$
19815	Find the Intersection of the Functions	g(x)=-x^2+9 , g(x)=0	$g (x) = - x^{2} + 9$ , $g (x) = 0$
19816	Find the Cofactor Matrix	A=[[3,3,10],[7,3,-2],[0,1,5]]	$A = [\begin{array}{c} 3 & 3 & 10 \\ 7 & 3 & - 2 \\ 0 & 1 & 5 \end{array}]$
19817	Find the Intersection of the Functions	f(x) = log base 2 of 3x+2 , f(g) = log base 2 of x+14	$f (x) = \log_{2} (3 x + 2)$ , $f (g) = \log_{2} (x + 14)$
19818	Find the Cofactor Matrix	[[5,-1,1],[2,3,4],[1,0,3]]	$[\begin{array}{c} 5 & - 1 & 1 \\ 2 & 3 & 4 \\ 1 & 0 & 3 \end{array}]$
19819	Find the Exact Value	arccos(- square root of 3/2)	$\arccos (- \sqrt{\frac{3}{2}})$
19820	Solve for ?	sin(theta)-cos(theta) = square root of 2	$\sin (θ) - \cos (θ) = \sqrt{2}$
19821	Find the Behavior (Leading Coefficient Test)	f(x)=x^4-8x^3+24x^(2-32x+19)	$f (x) = x^{4} - 8 x^{3} + 24 x^{2 - 32 x + 19}$
19822	Find the Behavior (Leading Coefficient Test)	f(x)=(x+2)(x-3)^2	$f (x) = (x + 2) {(x - 3)}^{2}$
19823	Find the Behavior (Leading Coefficient Test)	f(x)=x^3+3x^2-x-3	$f (x) = x^{3} + 3 x^{2} - x - 3$
19824	Find the Behavior (Leading Coefficient Test)	y=(x^(2-1))/(x^(2-2x+1))	$y = \frac{x^{2 - 1}}{x^{2 - 2 x + 1}}$
19825	Find the Behavior (Leading Coefficient Test)	f(x)=6x^5+8x^3+26	$f (x) = 6 x^{5} + 8 x^{3} + 26$
19826	Find the Cosine Given the Point	(1.5,2)	$(1.5, 2)$
19827	Find the Cosine Given the Point	(-60/61,11/61)	$(- \frac{60}{61}, \frac{11}{61})$
19828	Find the Cosine Given the Point	(1,5)	$(1, 5)$
19829	Find the Cosine Given the Point	(2,pi/6)	$(2, \frac{π}{6})$
19830	Find the Cosine Given the Point	(15,20)	$(15, 20)$
19831	Find the Cosine Given the Point	(1,10)	$(1, 10)$
19832	Find the Cosine Given the Point	(-15/17,-8/17)	$(- \frac{15}{17}, - \frac{8}{17})$
19833	Find the Cosine Given the Point	(4,- square root of 33)	$(4, - \sqrt{33})$
19834	Find the Cosine Given the Point	(-5,- square root of 11)	$(- 5, - \sqrt{11})$
19835	Find the Cosine Given the Point	(-8,22)	$(- 8, 22)$
19836	Find the Tangent Given the Point	(-7,5)	$(- 7, 5)$
19837	Simplify	cot(theta)sec(theta)sin(theta)	$\cot (θ) \sec (θ) \sin (θ)$
19838	Find the Tangent Given the Point	(-3,-5)	$(- 3, - 5)$
19839	Find the Tangent Given the Point	(2,0)	$(2, 0)$
19840	Find the Cosine Given the Point	(8,-9)	$R (8, - 9)$
19841	Find the Tangent Given the Point	(pi/2,pi)	$(\frac{π}{2}, π)$
19842	Find the Tangent Given the Point	(-35/37,12/37)	$(- \frac{35}{37}, \frac{12}{37})$
19843	Find the Tangent Given the Point	(-1/7,-(4 square root of 3)/7)	$(- \frac{1}{7}, - \frac{4 \sqrt{3}}{7})$
19844	Find the Equation Given the Roots	1 , 1/5 , 1/25 , 1/125	$1$ , $\frac{1}{5}$ , $\frac{1}{25}$ , $\frac{1}{125}$
19845	Find the Tangent Given the Point	(-7,3)	$(- 7, 3)$
19846	Solve Using an Inverse Matrix	2x+5y=2 , -5x-13y=20	$2 x + 5 y = 2$ , $- 5 x - 13 y = 20$
19847	Solve Using an Inverse Matrix	5x-3y=4 , 3x-2y=3	$5 x - 3 y = 4$ , $3 x - 2 y = 3$
19848	Solve Using an Inverse Matrix	y+z=0 , 4x-7y=6 , -4x-y-8z=-6	$y + z = 0$ , $4 x - 7 y = 6$ , $- 4 x - y - 8 z = - 6$
19849	Find the Equation Given the Roots	1/3 , 2 , 12 , 72	$\frac{1}{3}$ , $2$ , $12$ , $72$
19850	Find the Domain	(x^4)/(x^2+x-90)	$\frac{x^{4}}{x^{2} + x - 90}$
19851	Find the Behavior (Leading Coefficient Test)	f(x)=1-x^6	$f (x) = 1 - x^{6}$
19852	Find the Behavior (Leading Coefficient Test)	f(x)=-2(x-1)^2(x^2-4)	$f (x) = - 2 {(x - 1)}^{2} (x^{2} - 4)$
19853	Find the Behavior (Leading Coefficient Test)	f(x)=2(x-3)(x^2+4)^3	$f (x) = 2 (x - 3) {(x^{2} + 4)}^{3}$
19854	Find the Behavior (Leading Coefficient Test)	f(x)=-2x^3+5x^2+3x-1	$f (x) = - 2 x^{3} + 5 x^{2} + 3 x - 1$
19855	Find the Behavior (Leading Coefficient Test)	f(x)=-3x^3+20x^2+60x+2	$f (x) = - 3 x^{3} + 20 x^{2} + 60 x + 2$
19856	Find the Behavior (Leading Coefficient Test)	f(x)=6x-12	$f (x) = 6 x - 12$
19857	Find the Behavior (Leading Coefficient Test)	f(x)=-7x^4-3x^3-8x^2+23x+7	$f (x) = - 7 x^{4} - 3 x^{3} - 8 x^{2} + 23 x + 7$
19858	Find the Behavior (Leading Coefficient Test)	h(x)=-2x^4	$h (x) = - 2 x^{4}$
19859	Find the Behavior (Leading Coefficient Test)	y=x	$y = x$
19860	Find the Sine Given the Point	(7.5,10)	$(7.5, 10)$
19861	Find the Sine Given the Point	(0.24,0.07)	$(0.24, 0.07)$
19862	Find the Domain	(5x)/(x^2-36)	$\frac{5 x}{x^{2} - 36}$
19863	Find the Behavior (Leading Coefficient Test)	y=x^2	$y = x^{2}$
19864	Find the Sine Given the Point	(( square root of 5)/2,(2 square root of 5)/5)	$(\frac{\sqrt{5}}{2}, \frac{2 \sqrt{5}}{5})$
19865	Find the Behavior (Leading Coefficient Test)	f(x)=x^5-5x^3+4x	$f (x) = x^{5} - 5 x^{3} + 4 x$
19866	Find the Behavior (Leading Coefficient Test)	f(x)=2x^4-5x+1	$f (x) = 2 x^{4} - 5 x + 1$
19867	Split Using Partial Fraction Decomposition	(3x-1)/(x^2(x^2-1))	$\frac{3 x - 1}{x^{2} (x^{2} - 1)}$
19868	Find the Sine Given the Point	(35/37,-12/37)	$(\frac{35}{37}, - \frac{12}{37})$
19869	Find the Circle Through (2,-6) with Center (-2,4)	(-2,4) , (2,-6)	$(- 2, 4)$ , $(2, - 6)$
19870	Find the Circle Using the Diameter End Points	(-2,2) , (-8,6)	$(- 2, 2) (- 8, 6)$
19871	Find the Circle Using the Diameter End Points	(-2,4) , (4,8)	$(- 2, 4) (4, 8)$
19872	Find the Trig Value	cos(x)=3/5 , cos(2x)	$\cos (x) = \frac{3}{5}$ , $\cos (2 x)$
19873	Find the Circle Using the Diameter End Points	(1,1) , (6,7)	$(1, 1)$ , $(6, 7)$
19874	Find the Circle Using the Diameter End Points	(1,2) , (1,0)	$(1, 2)$ , $(1, 0)$
19875	Find the Circle Using the Diameter End Points	(3,-1) , (-1,5)	$(3, - 1) (- 1, 5)$
19876	Find the Circle Using the Diameter End Points	(3,-1) , (9,1)	$(3, - 1) (9, 1)$
19877	Find the Circle Using the Diameter End Points	(-3,8) , (7,6)	$(- 3, 8) (7, 6)$
19878	Find the Circle Using the Diameter End Points	(-5,7) , (9,5)	$(- 5, 7) (9, 5)$
19879	Find the Constant of Variation	y = square root of x	$y = \sqrt{x}$
19880	Find the Circle Using the Diameter End Points	(3,2) , (5,5)	$(3, 2)$ , $(5, 5)$
19881	Find the Parabola Through (-1,0) with Vertex (-1,2)	(-1,2) , (-1,0)	$(- 1, 2) (- 1, 0)$
19882	Find the Roots (Zeros)	x^4+x^3-11x^2-9x+18	$x^{4} + x^{3} - 11 x^{2} - 9 x + 18$
19883	Find the Parabola Through (-7,0) with Vertex (0,-6)	(-7,0) , (0,-6)	$(- 7, 0)$ , $(0, - 6)$
19884	Find the Parabola Through (-4,5) with Vertex (2,3)	(2,3) , (-4,5)	$(2, 3)$ , $(- 4, 5)$
19885	Find the Parabola Through (0,5) with Vertex (-3,-4)	(0,5) , (-3,-4)	$(0, 5) (- 3, - 4)$
19886	Find the Parabola Through (2,3) with Vertex (4,-1)	(4,-1) , (2,3)	$(4, - 1) (2, 3)$
19887	Find the Equation Using Two Points	f(3)=9 , f(-1)=-11	$f (3) = 9$ , $f (- 1) = - 11$
19888	Find the Sum of the Functions	f(x)=14x^2-5x , g(x)=20x-10	$f (x) = 14 x^{2} - 5 x$ , $g (x) = 20 x - 10$
19889	Find the Sum of the Functions	f(a)=a-4 , g(a)=3a^2	$f (a) = a - 4$ , $g (a) = 3 a^{2}$
19890	Find the Sum of the Functions	f(x)=1/(x^2-1) , g(x) = square root of x+3	$f (x) = \frac{1}{x^{2} - 1}$ , $g (x) = \sqrt{x + 3}$
19891	Find the Sum of the Functions	f(x)=x+3 , g(x)=x^2	$f (x) = x + 3$ , $g (x) = x^{2}$
19892	Find the Quadrant of the Angle	sin(165)	$\sin (165)$
19893	Find the Quadrant of the Angle	sec(210)	$\sec (210)$
19894	Find the Quadrant of the Angle	cos(45)	$\cos (45)$
19895	Find the Trig Value	cos((5pi)/8)=-v(2- square root of 2)/2 , sin((5pi)/16)	$\cos (\frac{5 π}{8}) = - v \frac{2 - \sqrt{2}}{2}$ , $\sin (\frac{5 π}{16})$
19896	Find the Trig Value	sec(x)=3 , cos(x)	$\sec (x) = 3$ , $\cos (x)$
19897	Find the Trig Value	sin(w)=( square root of 3)/2 , sin(w/2)	$\sin (w) = \frac{\sqrt{3}}{2}$ , $\sin (\frac{w}{2})$
19898	Find the Quadrant of the Angle	75 degrees	$75 °$
19899	Find the Quadrant of the Angle	-585 degrees	$- 585 °$
19900	Find the Quadrant of the Angle	34	$34$