Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
43201	Evaluate the Summation	sum from j=1 to 5 of 2j	$\sum_{j = 1}^{5} 2 j$
43202	Find the Antiderivative	1/(x natural log of x)	$\frac{1}{x \ln (x)}$
43203	Graph	x=2y-y^2	$x = 2 y - y^{2}$
43204	Evaluate the Summation	sum from k=1 to 4 of 3k^2	$\sum_{k = 1}^{4} 3 k^{2}$
43205	Evaluate the Summation	sum from k=3 to 6 of -5k+20	$\sum_{k = 3}^{6} - 5 k + 20$
43206	Find the Antiderivative	sin(pix)	$\sin (π x)$
43207	Solve for t	3t^2-3=0	$3 t^{2} - 3 = 0$
43208	Find the Third Derivative	f(x) = natural log of x	$f (x) = \ln (x)$
43209	Graph	x=e	$x = e$
43210	Evaluate the Summation	sum from k=3 to 6 of 2k-10	$\sum_{k = 3}^{6} 2 k - 10$
43211	Find the Second Derivative	f(x)=1/(x^11)	$f (x) = \frac{1}{x^{11}}$
43212	Find Where Increasing/Decreasing Using Derivatives	x+2sin(x)	$x + 2 \sin (x)$
43213	Find Where Increasing/Decreasing Using Derivatives	4x^2-6x^4	$4 x^{2} - 6 x^{4}$
43214	Simplify	(1-x^2)^3	${(1 - x^{2})}^{3}$
43215	Solve for A	A=Pe^(rt)	$A = P e^{r t}$
43216	Simplify	(y^(3/2))^2	${(y^{\frac{3}{2}})}^{2}$
43217	Simplify	2x* square root of x	$2 x \cdot \sqrt{x}$
43218	Solve for x	3x^2-24x+45=0	$3 x^{2} - 24 x + 45 = 0$
43219	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of ( natural log of x)/( square root of x)	$lim_{x \to \infty} \frac{\ln (x)}{\sqrt{x}}$
43220	Find the Third Derivative	y=e^(6e^x)	$y = e^{6 e^{x}}$
43221	Find the Second Derivative	y=sin(x^2)	$y = \sin (x^{2})$
43222	Find the Second Derivative	y=e^(6e^x)	$y = e^{6 e^{x}}$
43223	Find the Antiderivative	1/(cos(x)^2)	$\frac{1}{\cos^{2} (x)}$
43224	Graph	x=y^2-4y	$x = y^{2} - 4 y$
43225	Find the Linearization at a=0	f(x) = square root of 1-x , a=0	$f (x) = \sqrt{1 - x}$ , $a = 0$
43226	Evaluate the Summation	sum from k=3 to 6 of -2k+5	$\sum_{k = 3}^{6} - 2 k + 5$
43227	Evaluate the Summation	sum from k=1 to 4 of 2k^2-4	$\sum_{k = 1}^{4} 2 k^{2} - 4$
43228	Solve for x	cos(x)=x	$\cos (x) = x$
43229	Solve for x	x=3000-10p	$x = 3000 - 10 p$
43230	Solve for p	x=3000-10p	$x = 3000 - 10 p$
43231	Find the Critical Points	f(x)=(8-x)(x+1)^2	$f (x) = (8 - x) {(x + 1)}^{2}$
43232	Find Where Increasing/Decreasing Using Derivatives	f(x)=x+2sin(x)	$f (x) = x + 2 \sin (x)$
43233	Solve for p	x=5000-50p	$x = 5000 - 50 p$
43234	Find the Asymptotes	y=(1+x^4)/(x^2-x^4)	$y = \frac{1 + x^{4}}{x^{2} - x^{4}}$
43235	Solve for x	3x^2-1=0	$3 x^{2} - 1 = 0$
43236	Solve for x	x=5000-50p	$x = 5000 - 50 p$
43237	Solve for x	1-4/(x^2)=0	$1 - \frac{4}{x^{2}} = 0$
43238	Find Where Increasing/Decreasing Using Derivatives	f(x)=(8-x)(x+1)^2	$f (x) = (8 - x) {(x + 1)}^{2}$
43239	Find the Local Maxima and Minima	y=5+6x-8x^3	$y = 5 + 6 x - 8 x^{3}$
43240	Find the Concavity	f(x)=x^4-9x^3	$f (x) = x^{4} - 9 x^{3}$
43241	Find the Second Derivative	f(x)=(x^3+7)e^x	$f (x) = (x^{3} + 7) e^{x}$
43242	Find the Second Derivative	y=3sin(x)	$y = 3 \sin (x)$
43243	Find the Fourth Derivative	y=3sin(x)	$y = 3 \sin (x)$
43244	Write in Exponential Form	log base 9 of 9=1	$\log_{9} (9) = 1$
43245	Convert to a Decimal	pi/6	$\frac{π}{6}$
43246	Find the Critical Points	f(x)=(11-x)(x+1)^2	$f (x) = (11 - x) {(x + 1)}^{2}$
43247	Solve for y	(dy)/(dx)=e^(x-y)	$\frac{d y}{d x} = e^{x - y}$
43248	Solve for t	I=Prt	$I = P r t$
43249	Solve for r	i=Prt	$i = P r t$
43250	Solve for I	I=PRT	$I = P R T$
43251	Find the Concavity	f(x)=(x^2+4)/(x^2-4)	$f (x) = \frac{x^{2} + 4}{x^{2} - 4}$
43252	Find the Second Derivative	f(x)=e^x-x^6	$f (x) = e^{x} - x^{6}$
43253	Find Where Increasing/Decreasing Using Derivatives	f(x)=3x-3cos(x)	$f (x) = 3 x - 3 \cos (x)$
43254	Find the Tangent Line at the Point	y=sec(x) , (pi/3,2)	$y = \sec (x)$ , $(\frac{π}{3}, 2)$
43255	Find the Derivative Using Quotient Rule - d/dd	(cx+d)/(ax+b)	$\frac{c x + d}{a x + b}$
43256	Evaluate the Summation	sum from k=1 to 4 of (2k)^2	$\sum_{k = 1}^{4} {(2 k)}^{2}$
43257	Multiply	27*4	$27 \cdot 4$
43258	Solve for x	(x-1)^2=9	${(x - 1)}^{2} = 9$
43259	Find the Second Derivative	y=e^(3e^x)	$y = e^{3 e^{x}}$
43260	Find the Local Maxima and Minima	f(x)=x-2sin(x)	$f (x) = x - 2 \sin (x)$
43261	Find the Tangent Line at the Point	y=sin(sin(x)) , (4pi,0)	$y = \sin (\sin (x))$ , $(4 π, 0)$
43262	Factor	(x^2-9)	$(x^{2} - 9)$
43263	Find the Second Derivative	f(x)=8e^xcos(x)	$f (x) = 8 e^{x} \cos (x)$
43264	Solve for t	3t^2-27=0	$3 t^{2} - 27 = 0$
43265	Solve for n	PV=nRT	$P V = n R T$
43266	Solve for R	PV=nRT	$P V = n R T$
43267	Solve for T	PV=nRT	$P V = n R T$
43268	Solve for v	pv=nrt	$p v = n r t$
43269	Solve for P	PV=nRT	$P V = n R T$
43270	Solve for x	3x^2-24x=0	$3 x^{2} - 24 x = 0$
43271	Simplify	(12x^(1/2))^2	${(12 x^{\frac{1}{2}})}^{2}$
43272	Simplify	(6x^(1/2))^2	${(6 x^{\frac{1}{2}})}^{2}$
43273	Graph	r=2sin(theta)	$r = 2 \sin (θ)$
43274	Find the Critical Points	g(y)=(y-5)/(y^2-3y+15)	$g (y) = \frac{y - 5}{y^{2} - 3 y + 15}$
43275	Find the Asymptotes	(x-2)/(x^2-5x+6)	$\frac{x - 2}{x^{2} - 5 x + 6}$
43276	Find the Tangent Line at the Point	y=sin(sin(x)) , (2pi,0)	$y = \sin (\sin (x))$ , $(2 π, 0)$
43277	Solve for b	c = square root of a^2+b^2	$c = \sqrt{a^{2} + b^{2}}$
43278	Solve for x	log base 5 of x-11+ log base 5 of x-6=2	$\log_{5} (x - 11) + \log_{5} (x - 6) = 2$
43279	Graph	r=1-cos(theta)	$r = 1 - \cos (θ)$
43280	Find the Integral	1/(x natural log of x)	$\frac{1}{x \ln (x)}$
43281	Find the Fourth Derivative	7e^(-x^2)	$7 e^{- x^{2}}$
43282	Find the Local Maxima and Minima	x-2sin(x)	$x - 2 \sin (x)$
43283	Find the Concavity	f(x)=x^4-5x^3	$f (x) = x^{4} - 5 x^{3}$
43284	Solve for y	x=(y^4)/8+1/(4y^2)	$x = \frac{y^{4}}{8} + \frac{1}{4 y^{2}}$
43285	Solve for x	-3x^2+6x=0	$- 3 x^{2} + 6 x = 0$
43286	Solve for x	-2/(3x^(1/3))=0	$- \frac{2}{3 x^{\frac{1}{3}}} = 0$
43287	Simplify	natural log of x* natural log of x	$\ln (x) \cdot \ln (x)$
43288	Simplify	2sin(x)cos(x)	$2 \sin (x) \cos (x)$
43289	Find the Local Maxima and Minima	2x^4-20x^2+18	$2 x^{4} - 20 x^{2} + 18$
43290	Find the Second Derivative	y=x(2x+1)^4	$y = x {(2 x + 1)}^{4}$
43291	Find the Second Derivative	y=8xsin(x)	$y = 8 x \sin (x)$
43292	Find the Asymptotes	f(x)=(9x)/(x^2-81)	$f (x) = \frac{9 x}{x^{2} - 81}$
43293	Find the Horizontal Tangent Line	y=2x^3+3x^2-12x+5	$y = 2 x^{3} + 3 x^{2} - 12 x + 5$
43294	Solve for y	y^2=2x	$y^{2} = 2 x$
43295	Solve for x	3x^2+24x+56=8	$3 x^{2} + 24 x + 56 = 8$
43296	Solve for x	2/((x+1)^2)=1/2	$\frac{2}{{(x + 1)}^{2}} = \frac{1}{2}$
43297	Solve for x	x^2+9=73	$x^{2} + 9 = 73$
43298	Graph	r=4cos(theta)	$r = 4 \cos (θ)$
43299	Find the Derivative Using Product Rule - d/dx	x^4sin(x)	$x^{4} \sin (x)$
43300	Find Where Increasing/Decreasing Using Derivatives	x-2sin(x)	$x - 2 \sin (x)$