Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
44101	Evaluate the Function	f(x)=x^2 a=0 b=4	$f (x) = x^{2}$ $a = 0$ $b = 4$
44102	Evaluate the Function	f(-2)=x^4+2x^2-1	$f (- 2) = x^{4} + 2 x^{2} - 1$
44103	Evaluate the Function	f(3)=(7x)/(3x-13)	$f (3) = \frac{7 x}{3 x - 13}$
44104	Evaluate the Function	f(1/4)=1-(4/x)	$f (\frac{1}{4}) = 1 - (\frac{4}{x})$
44105	Evaluate the Function	f(x)=(2x^2+6x-80)/(x-5) , x=5	$f (x) = \frac{2 x^{2} + 6 x - 80}{x - 5}$ , $x = 5$
44106	Evaluate the Function	f(x)=(3/4)^-2	$f (x) = {(\frac{3}{4})}^{- 2}$
44107	Find the Slope of a Perpendicular Line	2x-3y=5	$2 x - 3 y = 5$
44108	Find the Slope of a Perpendicular Line	2y-3x=8	$2 y - 3 x = 8$
44109	Find the Slope of a Perpendicular Line	y=1/6x+4	$y = \frac{1}{6} x + 4$
44110	Find the Slope of a Perpendicular Line	y=-2x+5	$y = - 2 x + 5$
44111	Find the Slope of a Perpendicular Line	y=8x+5	$y = 8 x + 5$
44112	Find the Vertex Form	-3x^2+6x-1	$- 3 x^{2} + 6 x - 1$
44113	Expand Using Pascal's Triangle	(x-9)^5	${(x - 9)}^{5}$
44114	Expand Using Pascal's Triangle	(x-4y)^12	${(x - 4 y)}^{12}$
44115	Expand Using Pascal's Triangle	(x-5)^4	${(x - 5)}^{4}$
44116	Expand Using Pascal's Triangle	(x+2y)^7	${(x + 2 y)}^{7}$
44117	Expand Using Pascal's Triangle	(s+2v)^5	${(s + 2 v)}^{5}$
44118	Expand Using Pascal's Triangle	(q+r)^3	${(q + r)}^{3}$
44119	Expand Using Pascal's Triangle	(x^2y-1)^5	${(x^{2} y - 1)}^{5}$
44120	Expand Using Pascal's Triangle	(u-v)^4	${(u - v)}^{4}$
44121	Expand Using Pascal's Triangle	(3x-4y)^3	${(3 x - 4 y)}^{3}$
44122	Expand Using Pascal's Triangle	(3k-y)^5	${(3 k - y)}^{5}$
44123	Solve by Addition/Elimination	2x+4y+z=3x-2y-3z=4x+y-z=-1	$2 x + 4 y + z = 3 x - 2 y - 3 z = 4 x + y - z = - 1$
44124	Solve by Addition/Elimination	-2x+5y=-42 , 7x+2y=30	$- 2 x + 5 y = - 42$ , $7 x + 2 y = 30$
44125	Expand Using Pascal's Triangle	(2v+3)^6	${(2 v + 3)}^{6}$
44126	Solve by Addition/Elimination	8x-2y=-25x-7y=-30	$8 x - 2 y = - 25 x - 7 y = - 30$
44127	Solve by Addition/Elimination	4x-10y=4-6x+15y=-6	$4 x - 10 y = 4 - 6 x + 15 y = - 6$
44128	Solve by Addition/Elimination	4x+9y=99-2x-5y=-53	$4 x + 9 y = 99 - 2 x - 5 y = - 53$
44129	Solve Using an Inverse Matrix	5x+4y=8-4x+2y=-22	$5 x + 4 y = 8 - 4 x + 2 y = - 22$
44130	Simplify the Matrix	[[2,6,2],[2,-6,5]]+[[4,3,-2],[-1,-2,-6]]-[[3,4,4],[-5,-2,2]]	$[\begin{array}{c} 2 & 6 & 2 \\ 2 & - 6 & 5 \end{array}] + [\begin{array}{c} 4 & 3 & - 2 \\ - 1 & - 2 & - 6 \end{array}] - [\begin{array}{c} 3 & 4 & 4 \\ - 5 & - 2 & 2 \end{array}]$
44131	Find the Degree	cos(theta)=9/( square root of 481)	$\cos (θ) = \frac{9}{\sqrt{481}}$
44132	Find the Degree	theta=(257pi)/360	$θ = \frac{257 π}{360}$
44133	Find the Degree	theta=pi/3	$θ = \frac{π}{3}$
44134	Find the Degree	tan(theta)=3/7	$\tan (θ) = \frac{3}{7}$
44135	Find the Determinant	[[3,-2,1],[2,3,-1],[1,4,3]]	$[\begin{array}{c} 3 & - 2 & 1 \\ 2 & 3 & - 1 \\ 1 & 4 & 3 \end{array}]$
44136	Find the Determinant	[[2,x],[x,x^2]]	$[\begin{array}{c} 2 & x \\ x & x^{2} \end{array}]$
44137	Find the Third Term	a_1=-3 , a_n=2*a_n-1	$a_{1} = - 3$ , $a_{n} = 2 \cdot a_{n - 1}$
44138	Find the Fourth Term	a_1=-7 , a_n=2*a_n-1	$a_{1} = - 7$ , $a_{n} = 2 \cdot a_{n - 1}$
44139	Write in Standard Form	4x^2+16y^2=64	$4 x^{2} + 16 y^{2} = 64$
44140	Write in Standard Form	4x^2+4y^2+12x-24y+41=0	$4 x^{2} + 4 y^{2} + 12 x - 24 y + 41 = 0$
44141	Write in Standard Form	4x^2+4y^2+16x-24y=34	$4 x^{2} + 4 y^{2} + 16 x - 24 y = 34$
44142	Write in Standard Form	4x^2+3y^2-2x+9y+16=0	$4 x^{2} + 3 y^{2} - 2 x + 9 y + 16 = 0$
44143	Write in Standard Form	4x^2+9y^2-40x+36y+100=0	$4 x^{2} + 9 y^{2} - 40 x + 36 y + 100 = 0$
44144	Write in Standard Form	4x^2+9y^2-48x+72y+144=0	$4 x^{2} + 9 y^{2} - 48 x + 72 y + 144 = 0$
44145	Write in Standard Form	4x^2+9y^2+72x+108y+612=0	$4 x^{2} + 9 y^{2} + 72 x + 108 y + 612 = 0$
44146	Write in Standard Form	4x^2+9y^2=1	$4 x^{2} + 9 y^{2} = 1$
44147	Write in Standard Form	4x^2+5y^2=20	$4 x^{2} + 5 y^{2} = 20$
44148	Write in Standard Form	4x^2-25y^2-8x+50y-121=0	$4 x^{2} - 25 y^{2} - 8 x + 50 y - 121 = 0$
44149	Write in Standard Form	4x^2-9y^2-8x+36y-68=0	$4 x^{2} - 9 y^{2} - 8 x + 36 y - 68 = 0$
44150	Write in Standard Form	4x^2-9y^2-24x+36y-36=0	$4 x^{2} - 9 y^{2} - 24 x + 36 y - 36 = 0$
44151	Write in Standard Form	4x^2+y^2-8x+4y+4=0	$4 x^{2} + y^{2} - 8 x + 4 y + 4 = 0$
44152	Write in Standard Form	3x^2+y^2-48x-4y+184=0	$3 x^{2} + y^{2} - 48 x - 4 y + 184 = 0$
44153	Write in Standard Form	3x^2+3y^2+6x-30y+74=0	$3 x^{2} + 3 y^{2} + 6 x - 30 y + 74 = 0$
44154	Write in Standard Form	3x^2+3y^2-5=142	$3 x^{2} + 3 y^{2} - 5 = 142$
44155	Write in Standard Form	3x^2+3y^2-6x+12y=0	$3 x^{2} + 3 y^{2} - 6 x + 12 y = 0$
44156	Graph	r=3+2cos(theta)	$r = 3 + 2 \cos (θ)$
44157	Graph	r=4sin(theta)	$r = 4 \sin (θ)$
44158	Solve for x	9^(4x+1)=27	$9^{4 x + 1} = 27$
44159	Solve by Addition/Elimination	4x+6y=0 x-2y=14	$4 x + 6 y = 0$ $x - 2 y = 14$
44160	Simplify	(3+3i square root of 3)^6	${(3 + 3 i \sqrt{3})}^{6}$
44161	Simplify	square root of cot(x)^2+1	$\sqrt{\cot^{2} (x) + 1}$
44162	Evaluate the Limit	limit as x approaches 2 of 2x^3+x^2+7	$lim_{x \to 2} 2 x^{3} + x^{2} + 7$
44163	Convert to Rectangular Coordinates	(4,225 degrees )	$(4, 225 °)$
44164	Evaluate the Limit	limit as x approaches 5 from the left of 1/(x-5)	$lim_{x \to 5} \frac{1}{x - 5}$
44165	Identify the Sequence	{1/2,7/6,11/6,5/2}	${\frac{1}{2}, \frac{7}{6}, \frac{11}{6}, \frac{5}{2}}$
44166	Find the Directrix	(y+1)^2=-6(x-3)	${(y + 1)}^{2} = - 6 (x - 3)$
44167	Convert to Rectangular Coordinates	(2.5,250 degrees )	$(2.5, 250 °)$
44168	Convert to Rectangular Coordinates	(12,34)	$(12, 34)$
44169	Convert to Rectangular Coordinates	(2,210 degrees )	$(2, 210 °)$
44170	Find the Foci	(x^2)/25-(y^2)/8=1	$\frac{x^{2}}{25} - \frac{y^{2}}{8} = 1$
44171	Evaluate the Limit	limit as x approaches 3 of (x^2+2x-15)/(x-3)	$lim_{x \to 3} \frac{x^{2} + 2 x - 15}{x - 3}$
44172	Convert to a Decimal	square root of 74	$\sqrt{74}$
44173	Evaluate the Limit	limit as x approaches infinity of square root of 4x^6-1-2x^3	$lim_{x \to \infty} \sqrt{4 x^{6} - 1} - 2 x^{3}$
44174	Evaluate the Limit	limit as x approaches 1 of x^2+8x-2	$lim_{x \to 1} x^{2} + 8 x - 2$
44175	Simplify	tan(x)(sin(x)+cot(x)*cos(x))	$\tan (x) (\sin (x) + \cot (x) \cdot \cos (x))$
44176	Find the Foci	(x^2)/4-(y^2)/49=1	$\frac{x^{2}}{4} - \frac{y^{2}}{49} = 1$
44177	Evaluate the Limit	limit as x approaches 0 of x^2-6	$lim_{x \to 0} x^{2} - 6$
44178	Evaluate the Limit	limit as x approaches 6 from the left of 1/(x-6)	$lim_{x \to 6} \frac{1}{x - 6}$
44179	Evaluate the Limit	limit as x approaches 2 of (x^5-32)/(x^3-8)	$lim_{x \to 2} \frac{x^{5} - 32}{x^{3} - 8}$
44180	Convert to Rectangular	(3(cos(15 degrees )+isin(15 degrees )))^4	${(3 (\cos (15 °) + i \sin (15 °)))}^{4}$
44181	Find the Directrix	(y+2)^2=-4(x-7)	${(y + 2)}^{2} = - 4 (x - 7)$
44182	Find the Foci	((x+5)^2)/5+((y+9)^2)/9	$\frac{{(x + 5)}^{2}}{5} + \frac{{(y + 9)}^{2}}{9}$
44183	Evaluate the Limit	limit as x approaches pi/2 of 3e^xcos(x)	$lim_{x \to \frac{π}{2}} 3 e^{x} \cos (x)$
44184	Find the Vertices	9x^2-4y^2-36x+8y-4=0	$9 x^{2} - 4 y^{2} - 36 x + 8 y - 4 = 0$
44185	Find the Vertices	4x^2+9y^2-24x+72y+144=0	$4 x^{2} + 9 y^{2} - 24 x + 72 y + 144 = 0$
44186	Find the Vertices	(x^2)/81+(y^2)/16=1	$\frac{x^{2}}{81} + \frac{y^{2}}{16} = 1$
44187	Graph	f(theta)=2sin(4theta)	$f (θ) = 2 \sin (4 θ)$
44188	Find the Foci	(y^2)/16-(x^2)/36=1	$\frac{y^{2}}{16} - \frac{x^{2}}{36} = 1$
44189	Evaluate the Limit	limit as x approaches -1 of (x^6-1)/(x^4-1)	$lim_{x \to - 1} \frac{x^{6} - 1}{x^{4} - 1}$
44190	Divide	9/8	$\frac{9}{8}$
44191	Convert to Rectangular	(4(cos(15 degrees )+isin(15 degrees )))^4	${(4 (\cos (15 °) + i \sin (15 °)))}^{4}$
44192	Find All Integers k Such That the Trinomial Can Be Factored	x^2+kx+9	$x^{2} + k x + 9$
44193	Determine if Odd, Even, or Neither	f(x)=5	$f (x) = 5$
44194	Find the Vertices	(x^2)/25-(y^2)/6=1	$\frac{x^{2}}{25} - \frac{y^{2}}{6} = 1$
44195	Find the Roots (Zeros)	f(x)=4x^3-7x+3	$f (x) = 4 x^{3} - 7 x + 3$
44196	Find the Center and Radius	x^2+y^2=1/4	$x^{2} + y^{2} = \frac{1}{4}$
44197	Graph	f(theta)=3sin(2theta)	$f (θ) = 3 \sin (2 θ)$
44198	Evaluate the Limit	limit as x approaches 1 of (x^2+1)/(x+1)+x^2+3	$lim_{x \to 1} \frac{x^{2} + 1}{x + 1} + x^{2} + 3$
44199	Find the Domain	f(x) = square root of 100-2x	$f (x) = \sqrt{100 - 2 x}$
44200	Convert to Rectangular	(3(cos(27 degrees )+isin(27 degrees )))^5	${(3 (\cos (27 °) + i \sin (27 °)))}^{5}$