Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
45301	Write as a Single Logarithm	natural log of 5+5 natural log of 3	$\ln (5) + 5 \ln (3)$
45302	Find the Derivative of the Integral	y=arcsin(2x+1)	$y = \arcsin (2 x + 1)$
45303	Find the Derivative of the Integral	(d^103)/(dx^103)(sin(x))	$\frac{d^{103}}{d x^{103}} (\sin (x))$
45304	Find the Derivative of the Integral	(d^115)/(dx^115)(sin(x))	$\frac{d^{115}}{d x^{115}} (\sin (x))$
45305	Find the Derivative of the Integral	integral from 1 to x^2 of square root of 1+t^3 with respect to t	$\int_{1}^{x^{2}} \sqrt{1 + t^{3}} d t$
45306	Find the Volume	y = square root of x-1 , y=0 , x=5	$y = \sqrt{x - 1}$ , $y = 0$ , $x = 5$
45307	Find the Volume	y=x-x^2 , y=0	$y = x - x^{2}$ , $y = 0$
45308	Find the x and y Intercepts	2x-4sin(x)	$2 x - 4 \sin (x)$
45309	Find the x and y Intercepts	x^2+10x+24	$x^{2} + 10 x + 24$
45310	Find the Integral	1/ydy	$\frac{1}{y} d y$
45311	Find the Integral	2sin(x)cos(x)	$2 \sin (x) \cos (x)$
45312	Find the Integral	e^(-2y)	$e^{- 2 y}$
45313	Find the Integral	integral of x^3 with respect to x	$\int x^{3} d x$
45314	Find the Integral	x^2sin(x)	$x^{2} \sin (x)$
45315	Find the Integral	cube root of y	$\sqrt[3]{y}$
45316	Convert to Interval Notation	(3x)/(-4x+4)>=8	$\frac{3 x}{- 4 x + 4} \geq 8$
45317	Convert to Interval Notation	(3x^2-13x+4)/(3x^2-27x+54)<=0	$\frac{3 x^{2} - 13 x + 4}{3 x^{2} - 27 x + 54} \leq 0$
45318	Find the Integral	sin(2theta)	$\sin (2 θ)$
45319	Find the Integral	integral from negative infinity to infinity of e^(-x^2) with respect to x	$\int_{- \infty}^{\infty} e^{- x^{2}} d x$
45320	Find the Integral	square root of cos(x)	$\sqrt{\cos (x)}$
45321	Find the Integral	2 square root of y	$2 \sqrt{y}$
45322	Find the Integral	1/(2y)	$\frac{1}{2 y}$
45323	Find the Integral	(sin(x))^2	$\sin^{2} (x)$
45324	Verify the Identity	(tan(theta))/(sec(theta))+(cot(theta))/(csc(theta))=sin(theta)+cos(theta)	$\frac{\tan (θ)}{\sec (θ)} + \frac{\cot (θ)}{\csc (θ)} = \sin (θ) + \cos (θ)$
45325	Find the Concavity	8-7x^4	$8 - 7 x^{4}$
45326	Find the Concavity	250+8x^3+x^4	$250 + 8 x^{3} + x^{4}$
45327	Find the Concavity	5sin(x)+5cos(x)	$5 \sin (x) + 5 \cos (x)$
45328	Find the Concavity	6/(x-7)	$\frac{6}{x - 7}$
45329	Find the Concavity	3x^4-30x^3+x-5	$3 x^{4} - 30 x^{3} + x - 5$
45330	Find the 5th Term	27/16 , -9/4 , 3	$\frac{27}{16}$ , $- \frac{9}{4}$ , $3$
45331	Find the Concavity	8sin(x)+8cos(x)	$8 \sin (x) + 8 \cos (x)$
45332	Find the Concavity	18x(x-1)^3	$18 x {(x - 1)}^{3}$
45333	Write in y=mx+b Form	y-0=-1(x-3pi)	$y - 0 = - 1 (x - 3 π)$
45334	Write in y=mx+b Form	y-2=2 square root of 3(x-pi/3)	$y - 2 = 2 \sqrt{3} (x - \frac{π}{3})$
45335	Write in y=mx+b Form	y-8=1/16(x-64)	$y - 8 = \frac{1}{16} (x - 64)$
45336	Find the Critical Points	f(x)=48x-3x^2	$f (x) = 48 x - 3 x^{2}$
45337	Find the Critical Points	f(x)=(5x)/(x+8)	$f (x) = \frac{5 x}{x + 8}$
45338	Find the Critical Points	f(x)=x natural log of x	$f (x) = x \ln (x)$
45339	Find the Critical Points	f(x)=x^3-12x-3	$f (x) = x^{3} - 12 x - 3$
45340	Find the Critical Points	f(x)=40x-5x^2	$f (x) = 40 x - 5 x^{2}$
45341	Find the Critical Points	f(x)=e^(x^2+2x)	$f (x) = e^{x^{2} + 2 x}$
45342	Find the Other Trig Values in Quadrant IV	cos(theta)=7/25	$\cos (θ) = \frac{7}{25}$
45343	Find the Other Trig Values in Quadrant III	cot(theta)=4/3	$\cot (θ) = \frac{4}{3}$
45344	Find the Other Trig Values in Quadrant III	tan(theta)=12/5	$\tan (θ) = \frac{12}{5}$
45345	Find the Critical Points	f(x)=1/7x^7-x	$f (x) = \frac{1}{7} x^{7} - x$
45346	Find the Critical Points	f(x)=-x^3+3x^2	$f (x) = - x^{3} + 3 x^{2}$
45347	Find the Critical Points	f(x)=((5-9x)^(2/3))/7+1	$f (x) = \frac{{(5 - 9 x)}^{\frac{2}{3}}}{7} + 1$
45348	Find the Critical Points	f(x)=2x^2+32/x	$f (x) = 2 x^{2} + \frac{32}{x}$
45349	Find the Critical Points	f(x)=9x^4-4x^3	$f (x) = 9 x^{4} - 4 x^{3}$
45350	Find the Critical Points	f(x)=125x^3-15x+1	$f (x) = 125 x^{3} - 15 x + 1$
45351	Find the Critical Points	f(x)=1/x+ natural log of x	$f (x) = \frac{1}{x} + \ln (x)$
45352	Find the Critical Points	f(x)=x^5e^(-9x)	$f (x) = x^{5} e^{- 9 x}$
45353	Find the Critical Points	f(x)=2x(16-x)^3	$f (x) = 2 x {(16 - x)}^{3}$
45354	Find the Critical Points	x^(4/5)-x^(9/5)	$x^{\frac{4}{5}} - x^{\frac{9}{5}}$
45355	Find the Critical Points	x^2-108 square root of x	$x^{2} - 108 \sqrt{x}$
45356	Find the Critical Points	x square root of 144-x^2	$x \sqrt{144 - x^{2}}$
45357	Find the Critical Points	4x^3-3x^2-18x+17	$4 x^{3} - 3 x^{2} - 18 x + 17$
45358	Find the Critical Points	-4x+400	$- 4 x + 400$
45359	Find the Critical Points	x^3+10x^2+25x-50	$x^{3} + 10 x^{2} + 25 x - 50$
45360	Find the Critical Points	x^3+4x^2-21x	$x^{3} + 4 x^{2} - 21 x$
45361	Find the Critical Points	2x^3-24x-5	$2 x^{3} - 24 x - 5$
45362	Find the Critical Points	(x-8)^3	${(x - 8)}^{3}$
45363	Find the Critical Points	x^-4 natural log of x	$x^{- 4} \ln (x)$
45364	Find the Critical Points	x^8-8x^6	$x^{8} - 8 x^{6}$
45365	Find the Critical Points	2x-2/(x^2)	$2 x - \frac{2}{x^{2}}$
45366	Find the Critical Points	(x^2+4)/(2x)	$\frac{x^{2} + 4}{2 x}$
45367	Find the Tangent Line at x=0	f(x)=-sin(x) , x=0	$f (x) = - \sin (x)$ , $x = 0$
45368	Convert to a Simplified Fraction	1.43478260	$1.4347826$
45369	Solve by Factoring	6x^2+78x+216=0	$6 x^{2} + 78 x + 216 = 0$
45370	Apply the Quadratic Formula	12x^2-156x+350	$12 x^{2} - 156 x + 350$
45371	Evaluate from the Right	limit as h approaches 0 from the right of (f(3+h)-f(3))/h	$lim_{h \to 0} \frac{f (3 + h) - f (3)}{h}$
45372	Evaluate from the Right	limit as x approaches pi/2 from the right of tan(x)	$lim_{x \to \frac{π}{2}} \tan (x)$
45373	Find the Maximum/Minimum Value	f(x)=x^2-6x-3	$f (x) = x^{2} - 6 x - 3$
45374	Find the Domain and Range	f(x)=mx+q	$f (x) = m x + q$
45375	Find the Domain and Range	f(x)=kx+q	$f (x) = k x + q$
45376	Find the Domain and Range	f(x)=1/10x-1/6	$f (x) = \frac{1}{10} x - \frac{1}{6}$
45377	Determine if the Point is on the Graph	f(x)=x/(2x-2/3) , (-14,0)	$f (x) = \frac{x}{2 x - \frac{2}{3}}$ , $(- 14, 0)$
45378	Find the Trig Value	sin(theta)=( square root of 2)/2	$\sin (θ) = \frac{\sqrt{2}}{2}$
45379	Find the Derivative Using Product Rule - d/d@VAR	f(x)=(3x^3+3)(2x^7-8)	$f (x) = (3 x^{3} + 3) (2 x^{7} - 8)$
45380	Evaluate the Function	f(2)=(cos(pi/x))/(x-2)	$f (2) = \frac{\cos (\frac{π}{x})}{x - 2}$
45381	Evaluate the Function	f(x)=16-7 ; x=-1	$f (x) = 16 - 7$ ; $x = - 1$
45382	Evaluate the Function	f(x)=5/( square root of x) , a=1/16	$f (x) = \frac{5}{\sqrt{x}}$ , $a = \frac{1}{16}$
45383	Evaluate the Function	f((7pi)/6)=3sin(x)+9cos(x)	$f (\frac{7 π}{6}) = 3 \sin (x) + 9 \cos (x)$
45384	Evaluate the Function	f(-3)=18/x	$f (- 3) = \frac{18}{x}$
45385	Evaluate the Function	f(0)=7-2x+x^2	$f (0) = 7 - 2 x + x^{2}$
45386	Find the Trig Value	sec(theta)=2	$\sec (θ) = 2$
45387	Find the Derivative Using Product Rule - d/dy	(y^-1+y^-2)(8y^-3-10y^-4)	$(y^{- 1} + y^{- 2}) (8 y^{- 3} - 10 y^{- 4})$
45388	Find the Derivative Using Product Rule - d/dx	y=(4x^2+3)(2x-5)	$y = (4 x^{2} + 3) (2 x - 5)$
45389	Find the Derivative Using Product Rule - d/ds	s=(t^4-3t^3+3)(1-2t^3)	$s = (t^{4} - 3 t^{3} + 3) (1 - 2 t^{3})$
45390	Find the Derivative Using Product Rule - d/dt	s=(t^4-3t^3+3)(1-2t^3)	$s = (t^{4} - 3 t^{3} + 3) (1 - 2 t^{3})$
45391	Find the Value Using the Unit Circle	(3pi)/4	$\frac{3 π}{4}$
45392	Evaluate the Summation	sum from k=1 to 6 of 1/4(2)^(k-1)	$\sum_{k = 1}^{6} \frac{1}{4} {(2)}^{k - 1}$
45393	Evaluate the Summation	sum from m=1 to 4 of 8k-6m	$\sum_{m = 1}^{4} 8 k - 6 m$
45394	Evaluate the Summation	sum from j=1 to 7 of 1/3j+1	$\sum_{j = 1}^{7} \frac{1}{3} j + 1$
45395	Evaluate the Summation	sum from k=1 to 425 of 9k-3219	$\sum_{k = 1}^{425} 9 k - 3219$
45396	Evaluate the Summation	sum from n=0 to infinity of (1/3)^n	$\sum_{n = 0}^{\infty} {(\frac{1}{3})}^{n}$
45397	Evaluate the Summation	sum from k=4 to 8 of cos(kpi)	$\sum_{k = 4}^{8} \cos (k π)$
45398	Find the x and y Intercepts	f(x) = natural log of x+6	$f (x) = \ln (x) + 6$
45399	Evaluate Using the Squeeze Theorem	limit as x approaches pi/2 of cos(sin(x))	$lim_{x \to \frac{π}{2}} \cos (\sin (x))$
45400	Evaluate Using the Squeeze Theorem	limit as x approaches 1 of (cos(x-1))/(x-1)	$lim_{x \to 1} \frac{\cos (x - 1)}{x - 1}$