Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
50301	Solve by Factoring	x^2-18x+81=0	$x^{2} - 18 x + 81 = 0$
50302	Solve by Factoring	3x^2-8x-16=0	$3 x^{2} - 8 x - 16 = 0$
50303	Solve by Factoring	6(2x^2-17x-30)=0	$6 (2 x^{2} - 17 x - 30) = 0$
50304	Solve by Factoring	natural log of x-3+ natural log of x+1 = natural log of x+7	$\ln (x - 3) + \ln (x + 1) = \ln (x + 7)$
50305	Solve by Factoring	3x^2-8x-9=0	$3 x^{2} - 8 x - 9 = 0$
50306	Solve by Factoring	x^2-6x+10=0	$x^{2} - 6 x + 10 = 0$
50307	Solve by Factoring	4x^2-2x-1=0	$4 x^{2} - 2 x - 1 = 0$
50308	Solve by Factoring	6x^2+72x+192=0	$6 x^{2} + 72 x + 192 = 0$
50309	Solve by Factoring	(x-3)(x+5)=9	$(x - 3) (x + 5) = 9$
50310	Solve by Factoring	0=4x^3-72x^2+324x	$0 = 4 x^{3} - 72 x^{2} + 324 x$
50311	Solve by Factoring	x^2+3x-12=6	$x^{2} + 3 x - 12 = 6$
50312	Evaluate from the Right	limit as theta approaches pi/2 of 1/3tan(theta)	$lim_{θ \to \frac{π}{2}} \frac{1}{3} \tan (θ)$
50313	Evaluate from the Right	limit as x approaches (5pi)/2 of tan(x)	$lim_{x \to \frac{5 π}{2}} \tan (x)$
50314	Evaluate from the Right	limit as x approaches 3 of (x^2-9)/(x-3)	$lim_{x \to 3} \frac{x^{2} - 9}{x - 3}$
50315	Evaluate from the Right	limit as x approaches 1 of arccos(x)	$lim_{x \to 1} \arccos (x)$
50316	Evaluate from the Right	limit as x approaches 2 of e^(3/(2-x))	$lim_{x \to 2} e^{\frac{3}{2 - x}}$
50317	Convert to Regular Notation	5.20*10^-3	$5.2 \cdot 10^{- 3}$
50318	Write in Standard Form	(-3+ square root of -27)/3	$\frac{- 3 + \sqrt{- 27}}{3}$
50319	Write in Standard Form	-x^2-4x+3	$- x^{2} - 4 x + 3$
50320	Find the Tangent Given the Point	(1,4)	$(1, 4)$
50321	Find the Critical Points	8sec(theta)+4tan(theta)	$8 \sec (θ) + 4 \tan (θ)$
50322	Find the Critical Points	x square root of 18-x^2	$x \sqrt{18 - x^{2}}$
50323	Find the Critical Points	x(12-x)^3	$x {(12 - x)}^{3}$
50324	Find the Critical Points	4x^3-3x^2-36x+17	$4 x^{3} - 3 x^{2} - 36 x + 17$
50325	Find the Critical Points	4x^3-196x	$4 x^{3} - 196 x$
50326	Find the Critical Points	4x-tan(x)	$4 x - \tan (x)$
50327	Find the Critical Points	4sec(theta)+2tan(theta)	$4 \sec (θ) + 2 \tan (θ)$
50328	Find the Critical Points	3x^4+8x^3-18x^2+5	$3 x^{4} + 8 x^{3} - 18 x^{2} + 5$
50329	Find the Critical Points	3x^4-8x^3	$3 x^{4} - 8 x^{3}$
50330	Find the Critical Points	3x^4-4x^3+6	$3 x^{4} - 4 x^{3} + 6$
50331	Find the Critical Points	3x^2-75	$3 x^{2} - 75$
50332	Find the Critical Points	3x^3-18x^2+6	$3 x^{3} - 18 x^{2} + 6$
50333	Find the Critical Points	-3x^3+2x^4	$- 3 x^{3} + 2 x^{4}$
50334	Find the Critical Points	6x+sin(6x)	$6 x + \sin (6 x)$
50335	Find the Critical Points	-8 square root of 3cos(x)+8sin(x)^2	$- 8 \sqrt{3} \cos (x) + 8 \sin^{2} (x)$
50336	Find the Critical Points	6sin(x)^2cos(x)+3cos(x)	$6 \sin^{2} (x) \cos (x) + 3 \cos (x)$
50337	Find the Critical Points	x^3+12x+2	$x^{3} + 12 x + 2$
50338	Find the Critical Points	x^2-6x-9	$x^{2} - 6 x - 9$
50339	Find the Critical Points	x^3+6x^2-96x	$x^{3} + 6 x^{2} - 96 x$
50340	Find the Critical Points	x^3-36x	$x^{3} - 36 x$
50341	Find the Critical Points	x^3-5x^2-8x+4	$x^{3} - 5 x^{2} - 8 x + 4$
50342	Find the Critical Points	x^3-6x^2+9x+3	$x^{3} - 6 x^{2} + 9 x + 3$
50343	Find the Critical Points	(30x)/(x^2+25)	$\frac{30 x}{x^{2} + 25}$
50344	Find the Critical Points	-360x^2+720x+720	$- 360 x^{2} + 720 x + 720$
50345	Find the Critical Points	2x+9x^-1	$2 x + 9 x^{- 1}$
50346	Find the Critical Points	2sec(theta)+tan(theta)	$2 \sec (θ) + \tan (θ)$
50347	Find the Critical Points	24x-6x^2	$24 x - 6 x^{2}$
50348	Find the Critical Points	16x-2x^2	$16 x - 2 x^{2}$
50349	Find the Critical Points	-1.2x+2.2	$- 1.2 x + 2.2$
50350	Find the Critical Points	xe^(-x/2)	$x e^{- \frac{x}{2}}$
50351	Find the Critical Points	xe^(-(x^2)/162)	$x e^{- \frac{x^{2}}{162}}$
50352	Find the Critical Points	-3t^2+t+70	$- 3 t^{2} + t + 70$
50353	Find the Critical Points	x+cot(x/2)	$x + \cot (\frac{x}{2})$
50354	Find the Critical Points	x^7-7x^6	$x^{7} - 7 x^{6}$
50355	Find the Critical Points	(4t)/(3t^2+27)	$\frac{4 t}{3 t^{2} + 27}$
50356	Find the Critical Points	(4x)/((x+4)^2)	$\frac{4 x}{{(x + 4)}^{2}}$
50357	Find the Critical Points	2x+300000/x	$2 x + \frac{300000}{x}$
50358	Find the Critical Points	2x+32/x	$2 x + \frac{32}{x}$
50359	Find the Critical Points	2x^3-9x^2	$2 x^{3} - 9 x^{2}$
50360	Find the Critical Points	2x^3+12x^2-30x	$2 x^{3} + 12 x^{2} - 30 x$
50361	Find the Critical Points	32x-2x^2	$32 x - 2 x^{2}$
50362	Find the Critical Points	1-2cos(x)	$1 - 2 \cos (x)$
50363	Find the Critical Points	14cos(theta)+7sin(theta)^2	$14 \cos (θ) + 7 \sin^{2} (θ)$
50364	Find the Critical Points	0.05x+25+245/x	$0.05 x + 25 + \frac{245}{x}$
50365	Find the Critical Points	0.2t^3-2.1t^2+6.0t+40	$0.2 t^{3} - 2.1 t^{2} + 6 t + 40$
50366	Find the Critical Points	x/2+cos(x)	$\frac{x}{2} + \cos (x)$
50367	Find the Critical Points	(x-2)/(x^2-5x+6)	$\frac{x - 2}{x^{2} - 5 x + 6}$
50368	Find Any Equation Parallel to the Line	6x-y+9=0	$6 x - y + 9 = 0$
50369	Find the Tangent Line at x=1	f(x)=1+4 natural log of x ; x=1	$f (x) = 1 + 4 \ln (x)$ ; $x = 1$
50370	Find the Tangent Line at x=2	f(x)=x^4-2x^2+1 ; x=2	$f (x) = x^{4} - 2 x^{2} + 1$ ; $x = 2$
50371	Find the Tangent Line at x=2	f(x)=x^5 , x=2	$f (x) = x^{5}$ , $x = 2$
50372	Find the Tangent Line at x=e	f(x)=2+ natural log of x^3 ; x=e	$f (x) = 2 + \ln (x^{3})$ ; $x = e$
50373	Find the Tangent Line at x=1	f(x)=5x-7 , x=1	$f (x) = 5 x - 7$ , $x = 1$
50374	Find the Domain and Range	f(t)=2t-3t^2	$f (t) = 2 t - 3 t^{2}$
50375	Find the Domain and Range	f(x)=kx+d	$f (x) = k x + d$
50376	Find the Domain and Range	f(x)=1/5x-1/10	$f (x) = \frac{1}{5} x - \frac{1}{10}$
50377	Find the Domain and Range	f(x)=rx+b	$f (x) = r x + b$
50378	Find the Domain and Range	f(x)=(6x-6)/(x+2)	$f (x) = \frac{6 x - 6}{x + 2}$
50379	Write in Standard Form	x^2-2x+y^2-15=0	$x^{2} - 2 x + y^{2} - 15 = 0$
50380	Find Where Increasing/Decreasing Using Derivatives	y=(x^3)/49-3x	$y = \frac{x^{3}}{49} - 3 x$
50381	Find Where Increasing/Decreasing Using Derivatives	y=x^3-27x+1	$y = x^{3} - 27 x + 1$
50382	Find Where Increasing/Decreasing Using Derivatives	y=100x^(-1/4)	$y = 100 x^{- \frac{1}{4}}$
50383	Find Where Increasing/Decreasing Using Derivatives	y=x^3-12x+6	$y = x^{3} - 12 x + 6$
50384	Find Where Increasing/Decreasing Using Derivatives	p=2.38x-(x^2)/20000-3500	$p = 2.38 x - \frac{x^{2}}{20000} - 3500$
50385	Find Where Increasing/Decreasing Using Derivatives	y=x^3-27x+6	$y = x^{3} - 27 x + 6$
50386	Write in Standard Form	x^2+y^2+2x-2y-14=0	$x^{2} + y^{2} + 2 x - 2 y - 14 = 0$
50387	Write in Standard Form	x^2+y^2-4x-8y-5=0	$x^{2} + y^{2} - 4 x - 8 y - 5 = 0$
50388	Write in Standard Form	x^2+9y^2=81	$x^{2} + 9 y^{2} = 81$
50389	Write in Standard Form	x^2+y^2-4x-6y-23=0	$x^{2} + y^{2} - 4 x - 6 y - 23 = 0$
50390	Find the Domain and Range	G(t)=(1-5t)/(6+t)	$G (t) = \frac{1 - 5 t}{6 + t}$
50391	Find the Domain and Range	f(x)=-x^2+4x-7	$f (x) = - x^{2} + 4 x - 7$
50392	Find the Domain and Range	g(x)=x-9	$g (x) = x - 9$
50393	Find the Domain and Range	f(x)=x^2+12x+27	$f (x) = x^{2} + 12 x + 27$
50394	Find the Domain and Range	f(x)=sin(e^(-t))	$f (x) = \sin (e^{- t})$
50395	Find the Domain and Range	f(x) = square root of 4x-5	$f (x) = \sqrt{4 x - 5}$
50396	Find the Domain and Range	f(x)=-x^2-8x	$f (x) = - x^{2} - 8 x$
50397	Find the Domain and Range	f(x)=-4x^2-48x-128	$f (x) = - 4 x^{2} - 48 x - 128$
50398	Find the Domain and Range	f(x)=\|5sin(2x)\|	$f (x) = \| 5 \sin (2 x) \|$
50399	Find the Domain and Range	g(t)=-7/(2t^(3/2))	$g (t) = - \frac{7}{2 t^{\frac{3}{2}}}$
50400	Find the Maximum/Minimum Value	f(t)=9cos(t) , -(3pi)/2<=t<=(3pi)/2	$f (t) = 9 \cos (t)$ , $- \frac{3 π}{2} \leq t \leq \frac{3 π}{2}$