Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
41101	Evaluate the Function	f(x)=5^-2	$f (x) = 5^{- 2}$
41102	Plot	(4,(2pi)/3)	$(4, \frac{2 π}{3})$
41103	Find the Axis of Symmetry	y=16x^2-7	$y = 16 x^{2} - 7$
41104	Find the Axis of Symmetry	y=-x^2+18x-85	$y = - x^{2} + 18 x - 85$
41105	Determine if Odd, Even, or Neither	y=cos(x)	$y = \cos (x)$
41106	Find All Integers k Such That the Trinomial Can Be Factored	9x^2-kx+1	$9 x^{2} - k x + 1$
41107	Find the Inverse of the Resulting Matrix	[[2,4],[6,8]]-[[1,2],[3,4]]	$[\begin{array}{c} 2 & 4 \\ 6 & 8 \end{array}] - [\begin{array}{c} 1 & 2 \\ 3 & 4 \end{array}]$
41108	Find the Eccentricity	((x+2)^2)/12+((y-4)^2)/9=1	$\frac{{(x + 2)}^{2}}{12} + \frac{{(y - 4)}^{2}}{9} = 1$
41109	Find the Inverse	y=arccos(x/2)	$y = \arccos (\frac{x}{2})$
41110	Determine if True	sin(75 degrees ) = square root of (1-cos(150 degrees ))/2	$\sin (75 °) = \sqrt{\frac{1 - \cos (150 °)}{2}}$
41111	Determine if Rational	square root of 13	$\sqrt{13}$
41112	Find the Behavior (Leading Coefficient Test)	f(x)=-16x^5-7x^4-6	$f (x) = - 16 x^{5} - 7 x^{4} - 6$
41113	Determine if True	cos(65 degrees ) = square root of (1-cos(130 degrees ))/2	$\cos (65 °) = \sqrt{\frac{1 - \cos (130 °)}{2}}$
41114	Find the Eccentricity	(x^2)/9+(y^2)/4=1	$\frac{x^{2}}{9} + \frac{y^{2}}{4} = 1$
41115	Find the Eccentricity	(x^2)/16+(y^2)/81=1	$\frac{x^{2}}{16} + \frac{y^{2}}{81} = 1$
41116	Find the Determinant	[[1/2,( square root of 3)/2],[-( square root of 3)/2,1/2]]	$[\begin{array}{c} \frac{1}{2} & \frac{\sqrt{3}}{2} \\ - \frac{\sqrt{3}}{2} & \frac{1}{2} \end{array}]$
41117	Simplify the Matrix	[[x,-4,-1],[-2,2,0],[-1,-2,8]]=10	$[\begin{array}{c} x & - 4 & - 1 \\ - 2 & 2 & 0 \\ - 1 & - 2 & 8 \end{array}] = 10$
41118	Find Any Equation Parallel to the Line	2x+4y+5=0	$2 x + 4 y + 5 = 0$
41119	Find All Integers k Such That the Trinomial Can Be Factored	x^2-kx+4	$x^{2} - k x + 4$
41120	Evaluate the Derivative at x=5	f(x)=7x+8 ; x=5	$f (x) = 7 x + 8$ ; $x = 5$
41121	Find the Equation of the Circle	r=2cos(theta)	$r = 2 \cos (θ)$
41122	Find the Axis of Symmetry	y=8(x-10)^2-16	$y = 8 {(x - 10)}^{2} - 16$
41123	Solve the Triangle	a=18 , b=20 , c=13	$a = 18$ , $b = 20$ , $c = 13$
41124	Identify the Zeros and Their Multiplicities	f(x)=2x^4-13x^3-16x^2+243x-116	$f (x) = 2 x^{4} - 13 x^{3} - 16 x^{2} + 243 x - 116$
41125	Evaluate Using the Given Value	40x+20y=21 , 0	$40 x + 20 y = 21$ , $0$
41126	Plot	(-3,-pi/3)	$(- 3, - \frac{π}{3})$
41127	Evaluate the Function	f(x)=573(1.032)^44	$f (x) = 573 {(1.032)}^{44}$
41128	Convert Degrees, Minutes, Seconds to Decimal Degrees	43 degrees 47'54''	$43 ° 47' 54''$
41129	Convert Degrees, Minutes, Seconds to Decimal Degrees	59 degrees 55'34''	$59 ° 55' 34''$
41130	Convert Degrees, Minutes, Seconds to Decimal Degrees	35 degrees 58'38''	$35 ° 58' 38''$
41131	Convert Degrees, Minutes, Seconds to Decimal Degrees	4 degrees 4'4''	$4 ° 4' 4''$
41132	Solve the Matrix Equation	-1/3x+[[15,21],[0,1]]=[[3,27],[4,6]]	$- \frac{1}{3} x + [\begin{array}{c} 15 & 21 \\ 0 & 1 \end{array}] = [\begin{array}{c} 3 & 27 \\ 4 & 6 \end{array}]$
41133	Find the Reciprocal	square root of 3	$\sqrt{3}$
41134	Find Amplitude, Period, and Phase Shift	f(x)=cot(3x-pi/2)	$f (x) = \cot (3 x - \frac{π}{2})$
41135	Find the Maximum/Minimum Value	f(x)=sin(x)	$f (x) = \sin (x)$
41136	Find Trig Functions Using Identities	sin(x)tan(x)	$\sin (x) \tan (x)$
41137	Find the Inverse	y=3x-6	$y = 3 x - 6$
41138	Find the Equation Given the Roots	8i	$8 i$
41139	Solve the System of @WORD	\|8x-11\|>=4	$\| 8 x - 11 \| \geq 4$
41140	Find the Antiderivative	cube root of x	$\sqrt[3]{x}$
41141	Find the Maximum/Minimum Value	y=3sin(x)	$y = 3 \sin (x)$
41142	Find the Maximum/Minimum Value	p=3x+2y	$p = 3 x + 2 y$
41143	Find the Intersection of the Inequalities	x+1<3 , x-2<4	$x + 1 < 3$ , $x - 2 < 4$
41144	Find the Midpoint	(12,12) , (12,129)	$(12, 12)$ , $(12, 129)$
41145	Write in y=mx+b Form	2x-y=3	$2 x - y = 3$
41146	Find All Complex Number Solutions	x^3+27i=0	$x^{3} + 27 i = 0$
41147	Find All Complex Number Solutions	x^5+1=0	$x^{5} + 1 = 0$
41148	Find Where Increasing/Decreasing	f(x)=x^2-4x+3	$f (x) = x^{2} - 4 x + 3$
41149	Graph	r=3sin(theta)	$r = 3 \sin (θ)$
41150	Find the Upper and Lower Bounds	f(x)=2x^2-7	$f (x) = 2 x^{2} - 7$
41151	Find the Length of b	tri{6}{}{}{60}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 6 \\ c = \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
41152	Find the Upper and Lower Bounds	f(x)=x^2-5	$f (x) = x^{2} - 5$
41153	Simplify	((3m^4n^-2)/(2m^0n^3))^-2	${(\frac{3 m^{4} n^{- 2}}{2 m^{0} n^{3}})}^{- 2}$
41154	Find the Foci	(x^2)/16-(y^2)/25=1	$\frac{x^{2}}{16} - \frac{y^{2}}{25} = 1$
41155	Simplify	sin(x)+cos(x)cot(x)	$\sin (x) + \cos (x) \cot (x)$
41156	Find the Center and Radius	x^2+y^2+4x+6y-12=0	$x^{2} + y^{2} + 4 x + 6 y - 12 = 0$
41157	Convert to Rectangular Coordinates	(4,135 degrees )	$(4, 135 °)$
41158	Evaluate the Limit	limit as x approaches 9 from the left of 1/(x-9)	$lim_{x \to 9} \frac{1}{x - 9}$
41159	Convert to a Decimal	square root of 65	$\sqrt{65}$
41160	Convert to Polar Coordinates	(- square root of 6,- square root of 2)	$(- \sqrt{6}, - \sqrt{2})$
41161	Find the Directrix	x^2=40y	$x^{2} = 40 y$
41162	Convert to Polar Coordinates	(6,0)	$(6, 0)$
41163	Evaluate the Limit	limit as x approaches 3 from the left of 1/(x-3)	$lim_{x \to 3} \frac{1}{x - 3}$
41164	Evaluate the Limit	limit as x approaches 2 from the left of 1/(x-2)	$lim_{x \to 2} \frac{1}{x - 2}$
41165	Find the Domain and Range	x^2+y^2+4x+6y-12=0	$x^{2} + y^{2} + 4 x + 6 y - 12 = 0$
41166	Find the Asymptotes	25x^2-9y^2=225	$25 x^{2} - 9 y^{2} = 225$
41167	Find the Foci	(x^2)/25-(y^2)/9=1	$\frac{x^{2}}{25} - \frac{y^{2}}{9} = 1$
41168	Find the Foci	(x^2)/64-(y^2)/36=1	$\frac{x^{2}}{64} - \frac{y^{2}}{36} = 1$
41169	Convert to Polar Coordinates	(-4,5)	$(- 4, 5)$
41170	Find the Directrix	y^2-4y+4x+4=0	$y^{2} - 4 y + 4 x + 4 = 0$
41171	Verify the Identity	(sin(x)^4-cos(x)^4)=sin(x)^2-cos(x)^2	$(\sin^{4} (x) - \cos^{4} (x)) = \sin^{2} (x) - \cos^{2} (x)$
41172	Convert to Trigonometric Form	-4	$- 4$
41173	Find the Vertices	9x^2-16y^2=144	$9 x^{2} - 16 y^{2} = 144$
41174	Convert from Degrees to Radians	arctan(-1)	$\arctan (- 1)$
41175	Expand the Logarithmic Expression	log base 4 of (a^2b)/c	$\log_{4} (\frac{a^{2} b}{c})$
41176	Expand the Logarithmic Expression	natural log of (2x^3)/(5y)	$\ln (\frac{2 x^{3}}{5 y})$
41177	Find the Domain and Range	9x^2+16y^2-36x+96y+36=0	$9 x^{2} + 16 y^{2} - 36 x + 96 y + 36 = 0$
41178	Divide	(7pi)/6	$\frac{7 π}{6}$
41179	Convert to Polar Coordinates	(11,-4)	$(11, - 4)$
41180	Convert to Polar Coordinates	(3,pi)	$(3, π)$
41181	Convert to Polar Coordinates	p=(7,pi/3)	$p = (7, \frac{π}{3})$
41182	Find the Vertices	(x^2)/25-(y^2)/8=1	$\frac{x^{2}}{25} - \frac{y^{2}}{8} = 1$
41183	Divide	(5pi)/3	$\frac{5 π}{3}$
41184	Convert to Polar Coordinates	(4,9)	$(4, 9)$
41185	Convert to a Decimal	square root of 21	$\sqrt{21}$
41186	Convert to Polar Coordinates	p=(3,-pi/3)	$p = (3, - \frac{π}{3})$
41187	Convert to a Decimal	square root of 26	$\sqrt{26}$
41188	Convert to Rectangular Coordinates	(23,65)	$(23, 65)$
41189	Find the Asymptotes	x^2-y^2=1	$x^{2} - y^{2} = 1$
41190	Convert to Polar Coordinates	p=(1,-pi/6)	$p = (1, - \frac{π}{6})$
41191	Convert to Polar Coordinates	(2,-4)	$(2, - 4)$
41192	Convert to Polar Coordinates	(2,-1)	$(2, - 1)$
41193	Verify the Identity	1/(1-cos(theta))-1/(1+cos(theta))=2cot(theta)csc(theta)	$\frac{1}{1 - \cos (θ)} - \frac{1}{1 + \cos (θ)} = 2 \cot (θ) \csc (θ)$
41194	Solve by Factoring	sin(2x)-2sin(x)=0	$\sin (2 x) - 2 \sin (x) = 0$
41195	Convert to Polar Coordinates	(3,120 degrees )	$(3, 120 °)$
41196	Find the Focus	x^2+8x=4y-12	$x^{2} + 8 x = 4 y - 12$
41197	Convert to Trigonometric Form	10i	$10 i$
41198	Verify the Identity	(cos(x)^2-1)(tan(x)^2+1)=1-sec(x)^2	$(\cos^{2} (x) - 1) (\tan^{2} (x) + 1) = 1 - \sec^{2} (x)$
41199	Find the Vertex	y^2-4y+4x+4=0	$y^{2} - 4 y + 4 x + 4 = 0$
41200	Convert to a Decimal	square root of 27	$\sqrt{27}$