Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
133601	Verify the Identity	tan(x)^2(csc(x)^2-1)=1	$\tan^{2} (x (\csc^{2} (x) - 1)) = 1$
133602	Verify the Identity	1-cos(12x)=2sin(6x)^2	$1 - \cos (12 x) = 2 \sin^{2} (6 x)$
133603	Write as an Equation	(3,-4)	$(3, - 4)$
133604	Determine if Odd, Even, or Neither	-4x^5+7x^3	$- 4 x^{5} + 7 x^{3}$
133605	Find the Parabola with Focus (0,-3) and Directrix y=3	(0,-3) y=3	$(0, - 3)$ $y = 3$
133606	Find the Parabola with Focus (5,-5) and Directrix y=-4	(5,-5) y=-4	$(5, - 5)$ $y = - 4$
133607	Find the Equation Using Slope-Intercept Form	m=8 , b=7	$m = 8$ , $b = 7$
133608	Find the Equation Using Slope-Intercept Form	m=8 , b=9	$m = 8$ , $b = 9$
133609	Find the Equation Using Slope-Intercept Form	m=-5 , b=4/3	$m = - 5$ , $b = \frac{4}{3}$
133610	Find the Equation Using Slope-Intercept Form	m=4 , b=9	$m = 4$ , $b = 9$
133611	Find the Equation Using Slope-Intercept Form	m=0 , (0,-1)	$m = 0$ , $(0, - 1)$
133612	Find the Equation Using Slope-Intercept Form	m=-9/10 , b=1/2	$m = - \frac{9}{10}$ , $b = \frac{1}{2}$
133613	Find the Equation Using Slope-Intercept Form	m=-1/5 , (-7,0)	$m = - \frac{1}{5}$ , $(- 7, 0)$
133614	Find the Equation Using Slope-Intercept Form	(0,4) , m=1/5	$(0, 4)$ , $m = \frac{1}{5}$
133615	Find the Equation Using Slope-Intercept Form	m=-1/10 , b=1/2	$m = - \frac{1}{10}$ , $b = \frac{1}{2}$
133616	Find the Equation Using Slope-Intercept Form	(-4,3) , m=1	$(- 4, 3)$ , $m = 1$
133617	Find the Local Maxima and Minima	f(x)=2x^4-7x^3+4x^2+2x+3	$f (x) = 2 x^{4} - 7 x^{3} + 4 x^{2} + 2 x + 3$
133618	Find the Local Maxima and Minima	f(x)=9x^3+6x^2-7	$f (x) = 9 x^{3} + 6 x^{2} - 7$
133619	Find the Local Maxima and Minima	f(x)=x^3-1.5x+3	$f (x) = x^{3} - 1.5 x + 3$
133620	Find the Local Maxima and Minima	h(t)=96t-16t^2	$h (t) = 96 t - 16 t^{2}$
133621	Find Any Equation Perpendicular to the Line	y=2x+1	$y = 2 x + 1$
133622	Find Any Equation Perpendicular to the Line	y=-1/2x+3	$y = - \frac{1}{2} x + 3$
133623	Find Any Equation Perpendicular to the Line	y=1/2x+6	$y = \frac{1}{2} x + 6$
133624	Find Any Equation Perpendicular to the Line	y=-1/2x-1	$y = - \frac{1}{2} x - 1$
133625	Find Any Equation Perpendicular to the Line	y=1/5x+5	$y = \frac{1}{5} x + 5$
133626	Graph the Interval	(negative infinity,3)	$(- \infty, 3)$
133627	Graph the Interval	(0,3)	$(0, 3)$
133628	Find the Inverse	f(x)=1/x	$f (x) = \frac{1}{x}$
133629	Find the Upper or Third Quartile	29 , 21 , 17 , 10 , 15 , 27 , 22 , 30	$29$ , $21$ , $17$ , $10$ , $15$ , $27$ , $22$ , $30$
133630	Find the Midpoint	(-6,8) , (6,-7)	$(- 6, 8) (6, - 7)$
133631	Find the Midpoint	(1,7) , (9,0)	$(1, 7) (9, 0)$
133632	Write as a Function of h	h=384t-32t^2	$h = 384 t - 32 t^{2}$
133633	Write as a Function of b	25p^2+bp+1=0	$25 p^{2} + b p + 1 = 0$
133634	Write as a Function of q	-7q+12r=3q-4r	$- 7 q + 12 r = 3 q - 4 r$
133635	Write as a Function of n	(2x^9y^n)(4x^2y^10)=8x^11y^20	$(2 x^{9} y^{n}) (4 x^{2} y^{10}) = 8 x^{11} y^{20}$
133636	Write as a Function of y	x=y^4	$x = y^{4}$
133637	Write as a Function of x	y = square root of x+2	$y = \sqrt{x + 2}$
133638	Write as a Function of x	y=5/(6x-72)	$y = \frac{5}{6 x - 72}$
133639	Write as a Function of x	y=3x+5	$y = 3 x + 5$
133640	Write as a Function of x	x=-8y^2	$x = - 8 y^{2}$
133641	Write as a Function of x	x+y^2=49	$x + y^{2} = 49$
133642	Write as a Function of t	h=64t-32t^2	$h = 64 t - 32 t^{2}$
133643	Write as a Function of t	y=-16t^2+120	$y = - 16 t^{2} + 120$
133644	Write as a Function of y	y = square root of x+5	$y = \sqrt{x + 5}$
133645	Convert to Set Notation	[2,6]	$[2, 6]$
133646	Evaluate Using Scientific Notation	(3.4810^3)(9.810^4)	$(3.48 \cdot 10^{3}) (9.8 \cdot 10^{4})$
133647	Evaluate Using Scientific Notation	9.310^7-3.410^6	$9.3 \cdot 10^{7} - 3.4 \cdot 10^{6}$
133648	Evaluate Using Scientific Notation	(1.110^8)(1.4*10^7)	$(1.1 \cdot 10^{8}) \cdot (1.4 \cdot 10^{7})$
133649	Evaluate Using Scientific Notation	(2.310^-3)(310^8)	$(2.3 \cdot 10^{- 3}) (3 \cdot 10^{8})$
133650	Evaluate Using Scientific Notation	(3.110^4)/(4.6810^7)	$\frac{3.1 \cdot 10^{4}}{4.68 \cdot 10^{7}}$
133651	Convert to a Decimal	square root of 49	$\sqrt{49}$
133652	Convert to a Decimal	square root of 30	$\sqrt{30}$
133653	Find the Symmetry	x^4+10x^3+25x^2	$x^{4} + 10 x^{3} + 25 x^{2}$
133654	Convert to a Decimal	square root of 100	$\sqrt{100}$
133655	Find the Rank	[[3,2],[4,6]]	$[\begin{array}{c} 3 & 2 \\ 4 & 6 \end{array}]$
133656	Round to the Nearest Hundredth	11.489	$11.489$
133657	Round to the Nearest Hundredth	12.68857754	$12.68857754$
133658	Round to the Nearest Hundredth	1.0416	$1.0416$
133659	Round to the Nearest Hundredth	0.68421052	$0.68421052$
133660	Round to the Nearest Hundredth	0.583	$0.583$
133661	Round to the Nearest Hundredth	0.3125	$0.3125$
133662	Round to the Nearest Hundredth	0.099	$0.099$
133663	Round to the Nearest Hundredth	0.12	$0.12$
133664	Round to the Nearest Hundredth	2.6	$2.6$
133665	Round to the Nearest Hundredth	3.125	$3.125$
133666	Round to the Nearest Hundredth	6.633	$6.633$
133667	Round to the Nearest Hundredth	6.6332	$6.6332$
133668	Round to the Nearest Hundredth	6.7082	$6.7082$
133669	Round to the Nearest Hundredth	9.42	$9.42$
133670	Solve by Linear Combination	3d-e=7 , d+e=5	$3 d - e = 7$ , $d + e = 5$
133671	Determine the Type of Number	square root of 89	$\sqrt{89}$
133672	Determine the Type of Number	-0.12	$- 0.12$
133673	Determine the Type of Number	4 square root of 20	$4 \sqrt{20}$
133674	Determine the Type of Number	2/5	$\frac{2}{5}$
133675	Determine the Type of Number	0.55/0.55	$\frac{0.55}{0.55}$
133676	Determine the Type of Number	square root of -36	$\sqrt{- 36}$
133677	Write as a Set of Linear Factors	log base 3 of 5x = log base 5 of 2x+8	$\log_{3} (5 x) = \log_{5} (2 x + 8)$
133678	Arrange in Order	-0.25 , 1/4 , -1/3 , 0.3	$- 0.25$ , $\frac{1}{4}$ , $- \frac{1}{3}$ , $0.3$
133679	Arrange in Order	1 1/9 , 1 5/9 , 2 , 2 4/9	$1 \frac{1}{9}$ , $1 \frac{5}{9}$ , $2$ , $2 \frac{4}{9}$
133680	Find the Sum of the Infinite Geometric Series	3 , 15 , 75 , 375	$3$ , $15$ , $75$ , $375$
133681	Find the Sum of the Infinite Geometric Series	5 , 20 , 80 , 320	$5$ , $20$ , $80$ , $320$
133682	Find the y-intercept	x=-15	$x = - 15$
133683	Find the y-intercept	x=3.5	$x = 3.5$
133684	Identify the Polar Equation	r=10sin(x)	$r = 10 \sin (x)$
133685	Identify the Polar Equation	r=12	$r = 12$
133686	Identify the Polar Equation	z=-6+6i	$z = - 6 + 6 i$
133687	Identify the Polar Equation	rsin(theta)=4	$r \sin (θ) = 4$
133688	Determine if Dependent, Independent, or Inconsistent	3x-12y=92x-8y=6	$3 x - 12 y = 92 x - 8 y = 6$
133689	Determine if Dependent, Independent, or Inconsistent	x+4y=282x+8y=56	$x + 4 y = 282 x + 8 y = 56$
133690	Find the Quadrant	(-1,8)	$(- 1, 8)$
133691	Find the LCD	3/(x-5) , 11/(x+5)	$\frac{3}{x - 5}$ , $\frac{11}{x + 5}$
133692	Find the LCD	2/(x+1) , 3/(x-2) , 5/x	$\frac{2}{x + 1}$ , $\frac{3}{x - 2}$ , $\frac{5}{x}$
133693	Find the LCD	(3x)/(x+4) , 9/(4x)	$\frac{3 x}{x + 4}$ , $\frac{9}{4 x}$
133694	Find the LCD	(x-3)/(15x^2+2x-1) , (2x+7)/(10x^2+13x-3)	$\frac{x - 3}{15 x^{2} + 2 x - 1}$ , $\frac{2 x + 7}{10 x^{2} + 13 x - 3}$
133695	Find the LCD	6/(5x^3) , 7/(15x)	$\frac{6}{5 x^{3}}$ , $\frac{7}{15 x}$
133696	Find the LCD	(5a)/(a^2-5a-6) , (a-2)/(a^2+4a+3)	$\frac{5 a}{a^{2} - 5 a - 6}$ , $\frac{a - 2}{a^{2} + 4 a + 3}$
133697	Find the Constant of Variation	4y=-x	$4 y = - x$
133698	Find the Constant of Variation	y=5/8x	$y = \frac{5}{8} x$
133699	Find the Constant of Variation	y=-5x	$y = - 5 x$
133700	Convert from Interval to Inequality	(-1,1)	$(- 1, 1)$