Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
125101	Evaluate Using the Given Value	f(0)=5(0)-2	$f (0) = 5 (0) - 2$
125102	Evaluate Using the Given Value	f(4)=1	$f (4) = 1$
125103	Evaluate Using the Given Value	f(3)=1/3*4^3	$f (3) = \frac{1}{3} \cdot 4^{3}$
125104	Evaluate Using the Given Value	f(1) = square root of 3(1)+15	$f (1) = \sqrt{3 (1) + 15}$
125105	Reduce	(2x^2-18)/(x+3)	$\frac{2 x^{2} - 18}{x + 3}$
125106	Determine if Rational	4.5+pi	$4.5 + π$
125107	Determine if Rational	18 2/3	$18 \frac{2}{3}$
125108	Determine if Rational	square root of 36/6	$\sqrt{\frac{36}{6}}$
125109	Use the Rational Roots Test to Find All Possible Roots	f(x)=6x^4-7x^3-10x^2+17x-6	$f (x) = 6 x^{4} - 7 x^{3} - 10 x^{2} + 17 x - 6$
125110	Find the Inflection Points	f(x)=x/(x^2+81)	$f (x) = \frac{x}{x^{2} + 81}$
125111	Find the Leading Coefficient	square root of 7n^4	$\sqrt{7 n^{4}}$
125112	Find the LCD	9/(8x) , 3/(2x+4)	$\frac{9}{8 x}$ , $\frac{3}{2 x + 4}$
125113	Find the LCD	(x+2)/(x-3) , (x-3)/(x+2)	$\frac{x + 2}{x - 3}$ , $\frac{x - 3}{x + 2}$
125114	Find the LCD	-7/(2z) , 14/(7z)	$\frac{- 7}{2 z}$ , $\frac{14}{7 z}$
125115	Find the LCD	-7/(10y) , 11/(4y)	$\frac{- 7}{10 y}$ , $\frac{11}{4 y}$
125116	Find the LCD	5/(6x) , 3/(4x+8)	$\frac{5}{6 x}$ , $\frac{3}{4 x + 8}$
125117	Find the LCD	3/(10x) , (2x)/(x+10)	$\frac{3}{10 x}$ , $\frac{2 x}{x + 10}$
125118	Find the LCD	-11/45 , 13/75	$\frac{- 11}{45}$ , $\frac{13}{75}$
125119	Find the LCD	19/(2x) , 5/(4x^3)	$\frac{19}{2 x}$ , $\frac{5}{4 x^{3}}$
125120	Find the Constant of Variation	f(x)=30x	$f (x) = 30 x$
125121	Find the Constant of Variation	6y=3x	$6 y = 3 x$
125122	Find the LCD	2/(2x+7) , 5/(6x)	$\frac{2}{2 x + 7}$ , $\frac{5}{6 x}$
125123	Find the LCD	1/(6x+6) , 9/(2x)	$\frac{1}{6 x + 6}$ , $\frac{9}{2 x}$
125124	Find the LCD	5/(x+11) , 9/(x-11)	$\frac{5}{x + 11}$ , $\frac{9}{x - 11}$
125125	Find the LCD	5/(2x) , 7/(x-2)	$\frac{5}{2 x}$ , $\frac{7}{x - 2}$
125126	Find the LCD	5/(2x+1) , 6/(4x^2-1)	$\frac{5}{2 x + 1}$ , $\frac{6}{4 x^{2} - 1}$
125127	Find the LCD	5/(16a^3b^3) , 29/(30a^5b)	$\frac{5}{16 a^{3} b^{3}}$ , $\frac{29}{30 a^{5} b}$
125128	Find the LCD	7/(2x) , 5/(4x+4)	$\frac{7}{2 x}$ , $\frac{5}{4 x + 4}$
125129	Find the LCD	7/(3x+2) , 6/(5x)	$\frac{7}{3 x + 2}$ , $\frac{6}{5 x}$
125130	Find the LCD	x/(x^2-9) , 4/x , 3/(12-4x)	$\frac{x}{x^{2} - 9}$ , $\frac{4}{x}$ , $\frac{3}{12 - 4 x}$
125131	Find the Maximum/Minimum Value	square root of x^2-11x+36	$\sqrt{x^{2} - 11 x + 36}$
125132	Find the Maximum/Minimum Value	150x-x^2	$150 x - x^{2}$
125133	Find the Maximum/Minimum Value	1-8x-x^2	$1 - 8 x - x^{2}$
125134	Find the Maximum/Minimum Value	-2x^2-3x+4	$- 2 x^{2} - 3 x + 4$
125135	Find the Maximum/Minimum Value	26t-16t^2	$26 t - 16 t^{2}$
125136	Find the Maximum/Minimum Value	232x-5000-x^2	$232 x - 5000 - x^{2}$
125137	Find the Maximum/Minimum Value	2x^2+10x+9	$2 x^{2} + 10 x + 9$
125138	Find the Maximum/Minimum Value	x-1/100x^2	$x - \frac{1}{100} x^{2}$
125139	Find the Maximum/Minimum Value	7-6x-x^2	$7 - 6 x - x^{2}$
125140	Find the Maximum/Minimum Value	5-8x-x^2	$5 - 8 x - x^{2}$
125141	Find the Maximum/Minimum Value	-3x^2-30x-76	$- 3 x^{2} - 30 x - 76$
125142	Find the Maximum/Minimum Value	44x-16x^2	$44 x - 16 x^{2}$
125143	Find the Maximum/Minimum Value	-4t^2+2t-1	$- 4 t^{2} + 2 t - 1$
125144	Solve in Terms of the Arbitrary Variable a12	a_12=46 , a_24=88	$a_{12} = 46$ , $a_{24} = 88$
125145	Find the Distance Between Two Points	(0,0) , (6,3)	$(0, 0) (6, 3)$
125146	Find the Distance Between Two Points	(3.5,8.2) , (-0.5,6.2)	$(3.5, 8.2) (- 0.5, 6.2)$
125147	Find the Distance Between Two Points	(2,7) , (5,-10)	$(2, 7)$ , $(5, - 10)$
125148	Find the Distance Between Two Points	(-2,5) , (4,-1)	$(- 2, 5) (4, - 1)$
125149	Find the Distance Between Two Points	(1.3,7.2) , (-0.7,5.2)	$(1.3, 7.2) (- 0.7, 5.2)$
125150	Find the Distance Between Two Points	(0,- square root of 14) , ( square root of 31,0)	$(0, - \sqrt{14}) (\sqrt{31}, 0)$
125151	Find the Distance Between Two Points	(5.3,8.2) , (-0.7,5.2)	$(5.3, 8.2) (- 0.7, 5.2)$
125152	Find the Distance Between Two Points	(1,2) , (7,6)	$(1, 2) (7, 6)$
125153	Find the Distance Between Two Points	(2,3) , (8,9)	$(2, 3) (8, 9)$
125154	Find the Expanded Form	(x-4)^2+y^2=16	${(x - 4)}^{2} + y^{2} = 16$
125155	Find the Axis of Symmetry	y=x^2+8x-5	$y = x^{2} + 8 x - 5$
125156	Find the Axis of Symmetry	y=5x^2-10x-4	$y = 5 x^{2} - 10 x - 4$
125157	Find the Axis of Symmetry	y=5x^2+x+4	$y = 5 x^{2} + x + 4$
125158	Find the Axis of Symmetry	y=4x^2-16x-11	$y = 4 x^{2} - 16 x - 11$
125159	Find the Axis of Symmetry	y=-3x^2-18x-20	$y = - 3 x^{2} - 18 x - 20$
125160	Find the Range	f(x) = square root of 2x-4-5	$f (x) = \sqrt{2 x - 4} - 5$
125161	Find the Range	f(x)=x+1 if x<4; x-1 if x>=4	$f (x) = {\begin{cases} x + 1 & x < 4 \\ x - 1 & x \geq 4 \end{cases}$
125162	Find the Range	f(x)=-x if x<0; x if x>=0	$f (x) = {\begin{cases} - x & x < 0 \\ x & x \geq 0 \end{cases}$
125163	Verify the Identity	csc(x)^2tan(x)^2-1=tan(x)^2	$\csc^{2} (x) \tan^{2} (x) - 1 = \tan^{2} (x)$
125164	Verify the Identity	cos(3x)^2-sin(3x)^2=cos(6x)	$\cos^{2} (3 x) - \sin^{2} (3 x) = \cos (6 x)$
125165	Solve the System of @WORD	5+x>=3x-7>5x+13	$5 + x \geq 3 x - 7 > 5 x + 13$
125166	Solve the System of @WORD	-12<=2x-4<10	$- 12 \leq 2 x - 4 < 10$
125167	Solve the System of @WORD	8<=5x-2<=33	$8 \leq 5 x - 2 \leq 33$
125168	Solve the System of @WORD	-5<=2x+1<7	$- 5 \leq 2 x + 1 < 7$
125169	Solve the System of @WORD	3x+6y<=64x+y<=8	$3 x + 6 y \leq 64 x + y \leq 8$
125170	Find the Inverse	C=[[-9,7],[-3,-1]]	$C = [\begin{array}{c} - 9 & 7 \\ - 3 & - 1 \end{array}]$
125171	Find the Inverse	[[1,0],[0,-1]]	$[\begin{array}{c} 1 & 0 \\ 0 & - 1 \end{array}]$
125172	Find the Integral	cos(x)^5	$\cos^{5} (x)$
125173	Find the Integral	(e^x)/x	$\frac{e^{x}}{x}$
125174	Find the Mean	35 , 32 , 29 , 26	$35$ , $32$ , $29$ , $26$
125175	Find the Mean	10 , 6 , 4 , 4 , 6 , 4 , 1	$10$ , $6$ , $4$ , $4$ , $6$ , $4$ , $1$
125176	Find the Mean	0.1 , 0.2 , 0.4 , 0.5 , 0.5 , 0.8 , 0.1 , 0.6 , 0.9	$0.1$ , $0.2$ , $0.4$ , $0.5$ , $0.5$ , $0.8$ , $0.1$ , $0.6$ , $0.9$
125177	Find the Mean	8 , 10 , 8 , 5 , 4 , 7 , 5 , 10 , 8	$8$ , $10$ , $8$ , $5$ , $4$ , $7$ , $5$ , $10$ , $8$
125178	Factor over the Complex Numbers	16x^2+9y^2	$16 x^{2} + 9 y^{2}$
125179	Factor over the Complex Numbers	x^3-3x^2+81x-243	$x^{3} - 3 x^{2} + 81 x - 243$
125180	Find the Maximum/Minimum Value	y=3-4sin(2/3(x-1))	$y = 3 - 4 \sin (\frac{2}{3} (x - 1))$
125181	Find the Maximum/Minimum Value	y=46t-16t^2	$y = 46 t - 16 t^{2}$
125182	Find the Maximum/Minimum Value	y=50t-16t^2	$y = 50 t - 16 t^{2}$
125183	Find the Maximum/Minimum Value	y=2x^2+3x+9	$y = 2 x^{2} + 3 x + 9$
125184	Find the Maximum/Minimum Value	y=-2(x+1)^2+4	$y = - 2 {(x + 1)}^{2} + 4$
125185	Find the Maximum/Minimum Value	P=4x+2y	$P = 4 x + 2 y$
125186	Find the Maximum/Minimum Value	r=-2.5p^2+500p	$r = - 2.5 p^{2} + 500 p$
125187	Find the Maximum/Minimum Value	s=-16t^2+144t	$s = - 16 t^{2} + 144 t$
125188	Find the Maximum/Minimum Value	y=-16x^2+64x+4	$y = - 16 x^{2} + 64 x + 4$
125189	Find the Maximum/Minimum Value	y=(30+1x)(24000-500x)	$y = (30 + 1 x) (24000 - 500 x)$
125190	Find the Maximum/Minimum Value	z=5x+6y	$z = 5 x + 6 y$
125191	Find the Maximum/Minimum Value	z=2x+5y	$z = 2 x + 5 y$
125192	Find the Maximum/Minimum Value	y=-x^2+50x-70	$y = - x^{2} + 50 x - 70$
125193	Find the Maximum/Minimum Value	y=-x^2-7x+18	$y = - x^{2} - 7 x + 18$
125194	Find the Maximum/Minimum Value	h=-0.005x^2+x+3	$h = - 0.005 x^{2} + x + 3$
125195	Find the Maximum/Minimum Value	p=4x+2y	$p = 4 x + 2 y$
125196	Find the Maximum/Minimum Value	R=-2.5p^2+500p	$R = - 2.5 p^{2} + 500 p$
125197	Find the Sine Given the Point	(-4/5,-3/5)	$(- \frac{4}{5}, - \frac{3}{5})$
125198	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-4x^3+2	$f (x) = x^{4} - 4 x^{3} + 2$
125199	Expand Using Sum/Difference Formulas	cos(-105 degrees )	$\cos (- 105 °)$
125200	Graph the Interval	(negative infinity,2) union (4,infinity)	$(- \infty, 2) \cup (4, \infty)$